test
stringlengths 810
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stringlengths 32
32
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import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-6
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-07, atol=atol)
else:
assert exact_match
def ref_func(n):
ans, num = [], n
for _ in range(n):
ans.append(num)
num += 2
return ans
def check(candidate):
inputs = [[3], [4], [5], [6], [8], [1], [2], [10], [15], [20], [100], [12], [25], [50], [14], [16], [9], [24], [99], [21], [51], [52], [22], [73], [17], [101], [72], [98], [97], [53], [13], [96], [92], [102], [23], [11], [93], [49], [78], [86], [71], [95], [94], [70], [77], [69], [79], [103], [68], [37], [18], [36], [67], [91], [35], [90], [48], [54], [87], [19], [85], [84], [55], [7], [104], [38], [74], [39], [83], [66], [80], [105], [47], [109], [65], [42], [89], [46], [40], [88], [82], [108], [110], [64], [111], [26], [57], [58], [63], [59], [45], [106], [41], [81], [62], [107], [56], [43], [75], [30], [32], [33], [29], [34], [31], [76], [27], [28], [44], [1000000], [60], [61]]
for i, inp in enumerate(inputs):
assertion(candidate(*inp), ref_func(*inp), 0)
check(make_a_pile)
print('___SENTINEL___')
| 90e828c77caad4837d7d0b74082e1021 |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-4
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-04, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[3]]
results = [[3, 5, 7]]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(make_a_pile)
print('___SENTINEL___')
| 53235e5066725c88c409de1a13319958 |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-6
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-07, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [['Hi, my name is John'], ['One, two, three, four, five, six'], ['Hi, my name'], ['One,, two, three, four, five, six,'], [''], ['ahmed , gamal'], [',,,,'], [' '], ['Elephant,giraffe,,lion,zebra'], ['Hi,there is,a lot,of,space , ,'], [' '], ['apple,'], ['cat dog, fish'], ['hello, world'], ['One,two , three , four'], ['The quick brown fox jumps over the lazy dog'], ['hello, oworld'], [' '], ['The quick brown f the lazy dog'], [' '], ['The quickbrown f the lazy dog'], [' '], ['The quickbrowny f the lazy dog'], ['The quTick brown f the lazy dog'], ['The quick brown fox jumps over tohe lazy dog'], ['The quickbrown y dog'], ['One,two , three , fouOne,two , three , fourr'], ['cagt dog, fish'], ['Elephant,gieraffe,,lion,zebra'], [',,'], ['The quickbrown dog'], [',The quTick brown f the lazy dog,'], ['cat dofish'], ['hehello, oworldllo, oworld'], [' cat dofish '], [', ,The quickbrown dog'], ['The quTick brown f One,two , three , fourthe lazy dog'], [',The quTick bThe quick brown fox jumps over tohe lazy dogrown f the lazy dog,'], ['The quTickf the lazy dog'], ['app cat dofish e,'], ['The quTicat dog, fishckf the lazy dog'], ['The quTicat dog, fishckf the lazy doyg'], [',,,,,'], [' appl e,'], ['The qucfTickf the lazy dog'], ['XUI'], ['hllo, wold'], ['One,two , three , fouOne,thello, oworldwo , three , fourr'], ['app,The quTick brown f the lazy dog, cat dofish e,'], [' The quTickf the lazy dog '], ['cat dofis'], ['Theh quTicat dog, fishckf the lazy doyg'], ['The quTickTheh quTicat dog, fishckf the lazy doyg brown f the lazy dog'], ['Tx jumps over tohe lazy dog'], ['The quick brown f,The quTick br own f the lazy dog,ox jumps over tohe lazy dog'], ['cat dhofishOne,two , three , four'], ['The quick brown fox jumps over tohe lazy dog '], ['cT he quTick brown f One,two , three , fourthe lazy dogt dofis'], [',,,'], ['The quTick brownThe quickbrown y dog f One,two , three , fourthe lazy dog'], ['The quTicat dog, fishckf the l appl e,azy dog'], ['The quTick brown f the lazy The quicThe quick brown f,The quTick br own f the lazy dog,ox jumps over tohe lazy dogk brown f,The quTick brgdog'], ['The hquickbg'], ['Tx xjumps over tohe lazy dog'], ['The quTick brownThe quickbrown y dog f One,two , three , fourthe flazy dog'], ['Elephant, appl e,giraffe,,lion,zebra'], ['The quTicat dog, fishckf the l appl e,azy dogI'], [' Theh quTicat dog, fishckf the lazy doyg '], [' he quTickf the lazy dog '], ['Theh quTicat dog, fishckf the lazy The qucfTickf the lazy dogdoyg'], ['cat dfofish'], ['XI'], ['Hi,there is,a lot,of,space cT he quTick brown f One,two , three , fourthe lazy dogt dofis , ,'], ['eesrvDWbLL'], ['The quick bThe quick brown f the lazy dogrown fox jumps over tohe lazy dog'], ['cagt dogfish'], [' hOne,two , three , foure quTickf the lazy dog '], ['The qkuickbrown y dog'], [',The quTick bT,,,,he quick brown fox jumps over tohe lazy dogrown f the lazy dog,'], [' '], ['app cat dofish e,Elephant,gieraffe,,lion,zebra'], ['The quTick brown f the lazy The quThe quickbrown f the lazy dogicThe quick brown f,The quTick br own f the lazy dog,ox jumps over tohe lazy dogk brown f,The quTick brgdog'], [' Theh quTicat dog, fishckf the lazy doyg '], [', ,The quickbrown dobg'], ['The quTiThe queri tohe lazy dogk brown f,The quTick brgdogckf the lazy dog'], [' The quTickf the lazy dog The quick brown f the lazy dog '], ['The qu dog'], ['hello, l oworld'], [',The quTick bT,,,,he quick bro,wn fox jumps over tohe lazy dogrown f the lazy dog,'], ['Elephant, appl e,girTx xjumps over tohe lazy dogaffe,,lion,zebra'], [' '], ['The quick ybrown f the lazy dog'], ['One,two , three , fouOne,two , thre fourr'], ['cat dhofishne,two , three , four'], ['cat dofiElephant, a,ppl e,girTx xjumps over tohe lazy dogaffe,,lion,zebras'], ['TThe quTick brown f One,two , three , fourthe lazy doghe qck brown f the he quTickf the lazy dog lazy dog'], ['hello, woXUIrld'], [' hOne,two , three , foure quTickf thef lazy dog '], ['Hi,there is,a lot,of,space cT he quTick brown f One,two , three , fourthe lazy dogyt dofis , ,'], ['Theh quTicat diog, fishckf the lhazy The qucfTickf the lazy dogdoyg'], ['cat dog, fish'], [' apple,'], ['hHi,there is,a lot,of,space cT he quTick brown f One,two , three , fourthe lazy dogt dofis , ,llo, wold'], ['hwoXUhIrld'], ['Hi, my name is John. How are you? '], ['The,quick,brown,fox,jumps,over,the,lazy,dog.'], ['Two spaces after, one space before , and no spaces in between'], [',,,,,,No words, here,,,,,,'], [' A random string with no commas or spaces'], ['Amazing, how a sentence can change, meaning just by, adding or removing, commas!'], ['Multi\nline\nstring\nHello,\nworld!\n'], ['President, John, F, Kennedy'], ['The quick brown fox jumps over the lazy dog.'], ['ThisStringHasNoSpaces'], ['Muluti'], [' A random string wiorth no commas or spaces'], ['eB'], [' A random string with no commas or spaces'], ['Multi\nline\n\nstring\nHello,\nworld!\n'], ['Amazing, how a sentence can changee, meaning just by, adding or removing, commas!'], ['The quick brown fox jumps over the lazydog.'], ['The quick brown fox jumps over th e lazy dog.'], ['The quick browner th e lazy dochangee,g.'], ['B'], ['change,'], ['is'], ['Multi\nline!\nstring\nHello,i\nworld!\n'], ['th'], ['line'], ['you?'], ['The quick brown fox jumps over change,the lazydog.'], ['Mullti'], [' A random string with no commas or spaces'], ['yMulti\nline!\nstring\nHello,i\nworld!\n?'], ['line!'], ['Hi, my name is A random string wiorth no commas or spaces John. How are you? '], ['space'], ['The quick brown fox jumps over tarelazy dog.'], ['The quick browner th e lazy do changee,g.'], ['BeB'], ['jumps'], [' A random string with no commas r or spaces'], ['Hello,i'], ['The quick brown fox jumpwiorths over tarelazy dog.'], ['onwords,e'], ['The quick brown fox jumps ovMultier tarelazy dog.'], ['Amazing, how a sentence can change, meaning ovMultierjust by, adding or removing, commas!'], ['just'], [' A random string wiorth no commases'], ['Hi, my name is JohThe,quick,brown,fox,jumps,over,the,lazy,dog. you? '], ['Helllol,'], ['Hicommases, my name is John. How are you? '], ['The quick b rown fox jumps over the lazy dog.'], [' A random string wiorth no commas or spacesth'], ['The qmpwiorths over tarelazy dog.'], ['NWUyMDWJAr'], [' A random string with no commas or spacesNWUyMDWJAr'], ['HellloThe quick brown fox jumps over tarelazy dog.'], ['spacesNWUyMDDWJAr'], ['ladzydog.'], ['Amazing, how a sentence can change, meaning just by, adding or removing, commasAmazing, how a sentence can change, meaning just by, addingThe quick browner th e lazy dochangee,g. or removing, commas!!'], ['The quick b rown fox jumps over the lazy dog.commases'], ['iis'], ['dog.commases'], ['justt'], ['spaces'], [' A rand om string with no commas or with'], ['Multi\nline\nstring\nHi,rld!\n'], ['John.'], ['The quick browneer th e lazy dochangee,g.'], ['The quick browner th e lazy randdocPresident, John, F, Kennedyhangee,.'], ['HellloThe quickx brown fox jumps over tarelazy tarelazydog.'], ['Hi, my name is J you? '], ['after,'], ['TwoB'], ['quickx'], [' A random string wiorth no commas'], ['TheHi, my name is John. How are you? quick brown fox jumpwiorths over tarelazy dog.'], ['the'], ['yldadzydoJohn,'], ['in'], ['cmyTwwoe,'], ['The qmpwiorths over tarelazy dog.changee,g.'], ['Multi\nline\nstring\nHwords,\n'], ['The quick browner th e lazqy dochangee,g.'], ['H A rand om string with no commas or withicommases, my name is John. How are you? '], ['Hicommases, my name is are you? '], ['The quick b rown fox jumps oveor the lazy dog.'], [' A random string with no comtmas or spaces'], ['cThe quick browner th e lazy dochangee,g.ommas'], ['jumpwiorths'], ['Two spaces after, one space before , and no speaces in between'], ['Hi,rld!'], ['spacesThe quick browneer Uth e lazy dochangee,g.NWUyMDDWJAr'], ['The'], ['MAmazing, how a sentencse can change, meaning just by, adding or removing, commas!uluti'], ['dog.commaTheHi, my name is John. How are yo A random string with no commas r or spacesu? quick brown fox jumpwiorths over tsarelazy dog.ses'], [',ThisStringHasNNoSpaces,,,,,No words, here,,,,,,'], ['TheHi, my name is John. How are you? quick brown fox jumpwiorths over tareadding'], ['MAmazing, how a sentencse cant by, adding or removing, commas!uluti'], ['ThTHello,e'], ['The qmpwiorths ovchange,theer tarelazy dogwords,ngee,g.'], ['ujumps'], ['do'], ['Hi, my nam e is J you? '], ['on'], ['Multi\nl\nstring\nHello,\nworld!\n'], ['Multi\nline\nstrin A random string wiorth no commas or spacesthg\nHi,rld!\n'], ['yldadzydoJowithhn,'], ['lninie!'], ['Hi, my name is John. How oare you? '], ['lniniie!'], ['or'], ['The quick browner th e lazy randdocPresident, John, F,n Kennedyhangee,.'], ['are'], ['H'], [' A random string wiorth no c ommas or spaces'], ['by,'], ['Hi, my name is J you '], ['The quick brown fox jumpzs over th e lazy dog.'], ['HellloThe quiUthx jumps over tarelazy dog.'], ['uThe quick brown fox jumpzs over th e lazy dog.jumps'], ['chhownge,'], ['linee'], [' A random string with no commwords,as or spaces'], ['nlniniie!'], [' A '], ['you??'], ['jumpwiordog.ths'], ['Two spaces after, one space before s , and no speaces in between'], ['ThTH A random string with no commas or spacesello,e'], ['BB'], ['The quick b rown fox jumps oazy dog.'], ['om'], ['ThTHrownello,e'], ['dog.commaTheHi, my name is John. How are yo A random string with no comma quick brown fdog.ses'], ['spacesu?'], ['yldadzydcommas!uluti,'], ['Multi\nline\nstrin A random string wiorth no commas or spacesthg\nHi,rtld!\nH'], ['The quick brown fox jumg.'], ['chhowngec,'], ['rdandom'], ['wiorth'], ['meaning'], [',,,,,,No words, her,e,,,,,,'], ['Amazing, how a sentence can change, meaning just by, addinhg or removing, comma!'], ['rdmandom'], ['John,'], ['rown'], ['Multi\nline\nstrHwords,\n'], ['TheHi, my name is John. How are you? quick brown fox jumpwiorths over tareaddHi, my nam e is J you? ing'], ['ynldadzydoJohn,'], ['and'], ['dog.H'], ['s'], ['jusAmazing, how a sentence can cnamehange, meaning ovMultierjust by, adding or removing, commas!tt'], ['dog.commaTheHi, my name is John. How are yo A random string with no comma quick brown cThefdog.ses'], ['sentence'], ['n.'], ['cheange,'], ['no'], ['Homicommases, my name is are you? '], ['brown'], ['TThTH'], ['changee,g.'], [',,,,,,No'], ['spacesNDWUyMDDWJAr'], ['Multid\nline\nstring\nHello,\nworld!\n'], ['you?o?'], [' A random string wiorth ThTHello,e no c ommas or spaces'], ['eBThTHello,e'], ['cheangeg,'], ['yo'], ['showu?'], ['spsaces'], ['H A rand om string with no commas or withicommases, my name is John. How are you? '], ['dog.comyldadzydcommas!uluti,mases'], ['The quick brown fox jAmazing, how a sentence can change, meaning just by, adding or removing, commasAmazing, how a sentence can change, meaning just by, addingThe quick browner th e lazy dochangee,g. or removing, commas!!umg.cheangeg,'], ['BrandomeB'], [' A random string with no commas or spaces'], ['The qu ick b rown fox jumps over the lazy dog.commases'], ['Bra'], ['iiis'], ['rdmandoom'], ['words,'], ['spacesNDWUyMDDWJAspacesNDWUyMDDWJArr'], ['Multi\nlinjumpzs\nworld!\n'], ['i'], ['browns'], ['how'], ['cThe quchange,theick browner th e lazy dochangee,g.ommas'], ['change.e,g.'], ['rThe quick brown fox jumps over change,the lazydog.dmandoom'], ['lninile!'], ['Multi\nline\nstrin A jumpwiordog.ths random string wiorth no commas or spacesthg\nHi,rtld!\nH'], ['sshowu?'], [' A random string wiorth ThTHello,e comma! no c ommas or spaces'], ['jumpzs'], ['quiUthx'], ['o'], ['commas!!'], ['commas!'], [' A random string with no commas or spacesNWUyMDWJAr'], ['cThe quick browniiiser th angee,g.ommas'], ['l A random string wiorth no commas or spacesth'], ['sentesnce'], ['brn'], ['cThe theick browner th e lazy dochangee,gn.ommasThTH'], ['cnamehange,'], ['oveor'], ['taMultireaddHi,'], ['rdmandoHello,'], ['Multi\nline\nstring\nHi,rd!\n'], ['commasAmazing,'], ['BBThe qmpwiorths over tarelazy dog.changee,g.'], ['spacesNDWUThe qmpwiorths over tarelazy dog.changee,g.yMDDWJAr'], ['FLoaost'], ['before'], ['namouu?'], [' A random string with no c'], ['The qmpwiorlazy dog.'], ['sadding'], ['uThe quick brown fox jumpzs oveth e lazy dog.jumps'], ['Hi, my name is John. How i oare you? '], ['cThe quick browner th e lazy dochangee,g.omm,as'], ['tarelazy'], ['inor'], ['wBBTheith'], ['spaace'], ['Multi\nline\nstTherHwords,r\n'], ['orHi,'], ['yo A random string wiorth no commas???'], ['quick'], ['H A rand om string with no commas or withicommases, my name is John. How spaace are you?u '], ['adding'], ['jumThe qu ick b rown fox jumps over the lazy dog.commasespzzs'], ['The quick b rown fox quickjumps over the lazy dog.'], ['spFLoaostacesNDWUyMDDWJAr'], ['oazy'], ['dochangee,g.ommas'], ['sho?wu?'], ['tTwo spaces after, one space before , and no spaces in betweenh'], ['yMulti\nline!\nstrin!g\nHello,i\nworld!\n?'], ['Two spaces aaf,ter, one space before , and no speaces in between'], ['o A random string wiorth no commases'], ['brlineen'], ['The quick brown fox jumps over tqhe lazydog.'], ['JohThe,quick,brown,fox,jumps,over,the,lazy,dog.'], ['dochangee,g.'], ['The,quick,brown,foxdogwords,ngee,g.er,the,lazy,dog.'], ['juust'], [' A random string with n o commas or spaces'], [' A random string wiorth ThTHelo,e comma! no c ommas browner or spaces'], ['spacesu?,,,No'], ['ii'], ['Homicommases, my name is are you'], ['brlJohn.bineen'], ['youlniniie!?o?'], ['sadspacesNWUyMDWHellloThe quickx brown fox jumps over tarelazy tarelazydog.JArding'], ['s!!'], ['beore'], ['spa A random string wiorth no c ommas or spacesace'], ['iThe quick brown fox jumps ovMultier tarelazy dog.'], ['n'], ['l A random string wiorth no commas or spaesth'], ['The quick brown fox jAmazing, how a sentence can change, meaning just by, adding or removing, commasAmazing, how a sentence can change, meaning just by, addingThe quick browner th e ulazy dochangee,g. or removing, commas!!umg.cheangeg,'], ['change,jumpwiths'], [' A random string with no commas or spaceTheHi, mry name is John. How are you? quick brown fox jumpwiorths over tareaddHi, my nam e is J you? ingsNWUyMDWJAr'], ['cochange,themmas!!'], ['tTwo spaces after,and no spaces in betweenh'], ['MAmazing,'], ['The quick browspacesNWUyMDDWJArn fox jumps over th e lazy dog.'], ['?'], [' A rand om i string with no commas or with'], ['dog.commaTheHi, my name is John. How are yo A random string withrown fno comma quick brown fdog.ses'], ['ulazy'], ['tTwo'], ['rdmaoom'], ['HelloH,i'], ['arBBThe qmpwiorths over tarelazy dog.changee,g.e'], ['Mulluti'], ['Two spaces after, one space before , and no speaces in sbetween'], ['e'], ['onon'], ['seHellloThe quiUthx jumps over tarelazy dog.ntesnce'], ['ooazy'], [' A random string with no commwords,as The qmpwiorths over tarelazy dog.changee,g.or spaces'], ['oare'], ['Hhe'], ['Multi\nline\nstrin A jumpwiordog.ths random string wiorth no commas or spacesthg\nHig,rtld!\nH'], ['yo A random string c wiorth no commas???'], [' A random string with ddHi, my nam e is J you? ingsNWUyMDWJAr'], ['random'], ['H A rand om string with no commas or Hwithicommases, my name is John. How are you? '], ['dog.commaTheHi, my name is John. How are yo A random string with no h comma quick brown cThefdog.ses'], ['nrandon'], ['sbetween'], ['dog.commaTheHi, my name is John. How are yo s A random string with no commas r or spacesu? quick brown fox jumpwiorths over tsarelazy dog.ses'], ['jumThe'], ['FLspacesTheoaost'], [' e A rand ocommas or with'], ['President,'], ['Hello,'], ['jumg.'], ['ocommams'], ['commas???lniniie!'], ['angee,g.ommas'], ['broowns'], ['FWR'], ['quicckx'], ['The quick browsl A random string wiorth no commas or spacesthpacesNWUyMDDWJArn fox jumps over th e lazy dog.'], [',,,,,,,No words, here,,,,,,'], [' A random string with no commwords,as odr spaces'], ['President,yldadzydoJowithhn, John, F, her,e,,,,,,Kennedy'], ['yldadzydog.jumpslydoJowithhn,'], ['Hellloll,'], ['Two spaces after, one spaces beforfe , and no spaces in beMulti\nline\nstring\nHwords,\ntween'], [' A random string wiorth ThTHelo,e comma! no c ommas browner or spaces'], ['br A random string with no dcoowns'], [','], ['nn'], ['H A rand om string with no her,e,,,,,, commas or withicommases, my name is John. How spaace are you?u '], ['commasMullti!!'], ['The quick brown fox jAmazing, how a sentence can change, meaning just by, adding or removing, commasAmazing, how a sentence can change, meaning just by, addingThe quick browner th e ulazy dochangmas!!umg.cheangeg,'], ['cThe theick browner th e lazy l A random string wiorth no commas or spaesthdochanngee,gn.ommasThTH'], ['The qfuick brown fox jumg.'], ['commas!!umg.cheangeg,'], ['taHelloH,iMultireaddHi,'], ['youlniniie!?o? A random string with no commwords,as or spaces'], ['John.inor'], ['oyo'], ['The quick brown fox jumps over the lazyy dog.'], ['TheHi, my name is John. How are y ou? quick brown fox jumpwiorths over tareaddHi, my nam e is J you? ing'], ['ThTHelo,e'], ['The quick brown fox jAmazing, how a sentence can change, meaning just by, adding or removing, commasAmazing, how a sThe,quick,brown,foxdogwords,ngee,g.er,the,lazy,dog.entence can change, meaning just by, addingThe quick browner th e ulazy dochangmas!!umg .cheangeg,'], ['The qmpwiorths ovchange,withs,ngee,g.'], ['oyoo'], ['Hi,rd!'], ['Two spaces after, one space before , andspFLoaostacesNDWUyMDDWJArspeaces in between'], ['The quick b rown fox jumps over the lazy dmases'], ['yldadzydog.jumpslydoJowthhnu,'], ['spaesth'], ['The qmpwiorths ovchange,withs,ngee,g.Hi,rd!'], ['cThe quick browner th e lazy dochangee,g.omjumThe qu ick b rown fox jumps over the lazy dog.commasespzzsmas'], ['HigarBBThe qmpwiorths over tarelazy dog.changee,g.e,rtld!'], ['adnd'], ['jarBBTheuust'], ['jummps'], ['F,n'], ['dog.commaTheHi, my name is John. How are yo s A random string with no commas r or spacesu? quick brown fox jumpwiorths over tsases'], ['dog.cogmmases'], [' A random string wiorth ThTHespacesNDWUyMDDWJAspacesNDWUyMDDWJArrlo,e comma! no c ommas browner or spaces'], ['linee!'], ['Hicommases,'], ['nTLxTIkG'], ['cTehe quick browner th e lazy dochangee,g.ommas'], ['dog.commaTheHi, my name is John. How are yo s A random string ThTHuick brown fox jumpwiorths over tsases'], ['TheHi, my name is John. How are you? quick brown fox jumpwiortyhs over tarelazy dog.'], ['cnamehangrandome,'], ['cThe quick browner th e lazy docahangee,g.omjumThe qu ick b rown fox jumps over the lazy dog.commasespzzsmas'], ['ce'], ['sa'], ['oo'], ['MAmazing, how a sentencse can change, meaningb just by, addin!ulunti'], ['TheHi, my name is John. How are aryou? quick brown fox jumpwiortyhs over tarelazy dog.'], ['ddHi,'], [' A random string with no commwords,as The quick browneer th e lazy dochangee,g. The qmpwiorths over tarelazy dog.changee,g.or spaces'], ['dog.commaTheHi, my name is John. xHow are yo s A random string with no commas r or spacesu? quick brown fox jumpwiorths over tsases'], ['spacesNDWUWyMDDWJAspacesNDWUyMDDWJArr'], ['rddandom'], ['lin'], ['chspacesNDWUThe qmpwiorths over tarelazy dog.changee,g.yMDDWJArwngec,'], ['lazydog.'], ['ovchange,theer'], ['theick'], ['The quick brown fox jumps over th e l dog.'], ['b'], ['cheangMulti\nline!\nstring\nHello,i\nworld!\ne,'], ['Hello,rds,ngee,g.'], ['saspa A random string wiorth no c ommas or spacesacedding'], ['JohThe,quick,brown,fox,jumps,over,the,tlazy,dog.'], ['uThe quick brown fox jumpzs over th e lHi, my name is A random string wiorth no commas or spaces John. How are you? azy dog.jumps'], ['The qmpwiorths over tarickelazy dog.changee,g.'], [' AMulti\nline\nstTherHwords,r\n '], ['uThe quick brown fox jumpzs over th e lHi, my name is A random string Multi\nline\n\nstring\nHello,\nworld!\n wiorth no commas or spaces John. How are you? azy dog.jumps'], ['iiiis'], [' A randomstrHwords, string with no commas r or spaces'], ['yo A randomas???'], ['spsacesTheHi, my name is John.The quick b rown fox quickjumps over the lazy dog.readding'], ['commas???lnine!'], ['dog.'], ['The quick brown fox jueBThTHello,emps over change,the lazydog.'], ['spa'], ['dog.commaTheHi, my name is John. How Two spaces after, one space before , and no spaces in between are yo A random string with no commas r or spacesu? quick brown fox jumpwiorths over tsarelazy dog.ses'], ['yMulti'], ['ingsNWUyMDWJAr'], ['The quick brown fox jumps over tarelazy doTwo spaces aaf,ter, one space before , and no speaces in betweeng.'], ['omas'], ['uHjumThe'], ['aaf,ter,'], ['jusAmazing, how a sentence can cnamehange, meaning ovMultierjust by, adding or removing, commas!tquickxtUth'], [',T'], ['rom'], ['dog.changee,g.yMDDWJAr'], ['ldog.changee,g.yMDDWJArwngec,zydog.'], ['The quick brown fox jAmazing, how a sentence can change, meaning just by, adding or removing, commatTwosAmazing, how a sThe,quick,brown,foxdogwords,ngee,g.er,the,lazy,dog.entence can change, meaning just by, addingThe quick browner th e ulazy dochangm!!umg .cheangeg,'], ['yMulti\nline!\nstring\nHecThe quick browner th e lazy docahangee,g.omjumThe qu ick b rown fox jumps over the lazy dog.commasespzzsmasloyolo,i\nworld!\n?'], ['lazy'], ['Multi\nline\nstTheerHwords,r\n'], ['Amazing, how a sentence can change, meaning ovMultspeacesierjust by, adding or removing, commas!'], ['yMulti\nline!\nstring\nHello,i\nworl!\n?'], ['F,'], ['dog.commaTheHi, my name is John. How are yo A random string withrown fno comma quick brs'], ['TheHi, my name is John. How are you? quick brown fox jumpwiorths ov er tareaddHi, my jusAmazing, nam e is J you? ing'], ['The quick b rown fox jumps over the lazy dog.'], ['eBThTHelleo,e'], ['cTehe'], ['Ammazing, how a sentence can changee, meaning just by, adding or removing, commas!'], ['h'], ['chspacesNDWUThe qmpwiorths over tarelazy dog.changee,g.yMtDDWJArwngec,'], ['jumpwiortyhs'], ['Hi, my nameonon is J you? '], ['Two spaces after, one spaces beforfe , and no saces in beMulti\nline\nstring\nHwords,\ntween'], ['ohvchange,tMulti\nlinjumpzs\nworld!\nheer'], ['eBtarickelazy'], ['yldadzydog.jumpslydoJowithhnn,'], ['hth'], ['The qmpwiortths ovchange,withs,TwoBngee,g.Hi,rd!'], ['Hicommases, my namem is are you? '], ['uThe quick brown fox jumpzs over th e lHi, my namer is A random string witTwo spaces ohn. How are you? azy dog.jumps'], ['cThe q,uick browner th e lazy dochangee,g.omm,as'], ['comminors???'], ['dog.changee,youlniniie!?o?g.yMDDWJAr'], ['Multi\nline\nstrin A random string th no commas or spacesthg\nHi,rtld!\nH'], ['Multi\nline\nstring\nHello,qmpwiorths\nworld!\n'], ['browsl'], [' A random string wiorth ThTHelo,e comma! no c oarBBThe qmpwiorths over tarelazy dog.changee,g.emmas browner or spaces'], ['comminmors???'], ['F,,n'], ['yyQwaoYdS'], ['you?y?'], ['browner'], ['kquickcommas???lniniie!'], [' A rand om i string with no commas or with'], ['shbeMulti?wu?'], ['brli A neen'], ['spacesNDWUThe'], ['HelllroThe quickx brown fox jumps over tarelazy tarelazydog.'], ['ThTH A random string with no commas or spacesello,e'], ['spacesThe quick browneeWr Uth e lazy dochangee,g.NWUyMDDWJArdog.H'], ['ntesn'], ['saddiang'], ['BBThe'], ['HecThe'], ['nam'], ['cMulti\nline\nstTherHwords,r\nommas!'], ['noiin'], ['eBThTHelloh,e'], ['The quick brown fox jumpsThe quick browspacesNWUyMDDWJArn fox jumps over th e lazy dog. over the lazy dog.'], ['randomas???'], ['thebrliick'], ['cnamehangeThe quick brown fox jumps over change,the lazydog.,'], ['Homicommase s, my name is are youbetween? 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How spaace are you?u spaacea'], ['sshoHhew?'], ['oom'], ['dstTherHwords,r'], ['cheangge,'], ['The quick brown fox jAmazing, how a sentence can change, meaning just by, adding or removing, commasAmazing, how a sThe,quick,brown,foxdogwords,ngee,g.er,the,lazy,dog.entecThe quick browner th e lazy dochangee,g.omm,asaning just by, addingThe quick browner th e ulazy dochangmas!!umg .cheangeg,'], ['The qmpwioBBrths over tarelazy dog.changee,g.'], ['d A random string wiorth no c ommas or spacesV'], ['cant'], ['jommas!umg.'], ['Hi,my,name,is,John'], ['Hi,my,name,is,John,'], [', , , , , ,'], ['1,2,3,4,5,6'], ['Hi!My,Name is John'], ['Two spaces after, one space before , and no spaces in betwstringeen'], [' A srandom string with no commaAs or spaces'], ['The,quick,rbrown,fox,jumps,over,the,lazy,dog.'], ['President, John, F, KennedyThe,quick,brown,fox,jumps,over,the,lazy,dog.'], ['Hi, my naF,me is John. How are you? 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How are ychaKennedyThe,quick,brown,fox,jumps,over,Hi,nge,ou? aTwond'], ['cosmmasychancge,ou?!'], ['lazyThe,quick,rbrown,fox,jumps,over,the,lazy,dog.'], ['beforsMultiethe,lazy,dog.'], ['Two spTwrandomoaces atfter, one space before , and no spaces in betwstringeen'], ['sMulti\nline\nsaddingtring\nHello,\nworld!\npaceno'], ['lazAmazing, how a sentence can change, meaning just by, adding or removing, commas!y'], ['beTh'], ['ychange,Hi, my name is John. How are ychang e,ou? ou?'], ['How'], ['HoJohn,w'], ['comm'], ['leine'], ['Tjumps,over,the,lazy,dog.'], ['spTwrandomoaces'], ['lei'], ['commma!'], ['ychaKennedyThe,quick,brown,fox,jumps,over,Hi,nge,ou?'], ['boeThe,quick,rbrown,fox,jumps,over,the,lazy,dog.fore'], ['aftThe,quick,brown,fox,jumps,over,the,lazy,dog.er,'], [' A srandom string with no comJohn.maAs ort spaces'], ['Hi, my naF,me is Johow areover you? ello,ust'], ['HoJohn'], [' A sranadom string with no dcommaAs or spaces'], ['lazAmazing,'], ['ychaKennedyThe,quick,brown,fox,jumps,ovesMulti\nline\nsaddingtring\nHello,\nworld!\npacenor,Hi,nge,ou?'], ['atfter,'], ['President, John, F, KennedyThnamee,quick,brown,fox,jumps,over,the,lazy,dog.'], ['yXdEXoUU'], ['EeJKnUSVF'], ['Hi, my name is John. How are ycPresident, John, F, Kennedyhange,ou? aTwond'], ['BCKkvqkp'], ['BC A srandom string with no commaAs ort spaceskvp'], ['yu?'], ['The,quick,rbrown,fox,jumps,over,tog.'], ['cosmmasychamnce,ou?!'], ['Pre, F, K,ennedyThe,quicjumpsk,brown,fox,jumps,over,Hi, my name is John. How ar e you? the,lazy,dog.'], ['Two spTwrandomoaces atfter, one space before , and no spaces in betwstri ngeen'], ['ychange,Hi, my name is John. How are ychange,ou? ou?'], ['Hi, my naF,me is Jomhow areover you? ello,ust'], ['KennedyThe,orquick,brown,fox,jumps,over,the,lazy,dog.'], ['adJohowding'], ['Twrandomo spaces after, one space before , aTwond no spaceHi, my name is John. How are ychange,ou? aTwonds in between'], ['hinow'], ['The quick brown fox jukmps over the lazy dog.'], ['spTwradomoaces'], ['Hi,srandom my name is John. How spaces are ychange,ou? 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How ar e you? the,lazy,dog.KnUSVF'], ['ycick,brown,fox,jcommas!umps,over,the,lazer,tthe,lazy,dog.er,umps,over,the,lazy,dog.world!\npacenor,Hi,nge,ou?'], ['over'], ['beThe,quick,rbrown,feox,jumps,over,the,lazy,dog.fomre'], ['spa,,e,,,,No word,s, here,,,,,,ces'], ['ychange,Hi, my space name is John. How are ychang e,ou? ou?'], ['after,BCKkvqkp'], ['Multi'], ['jHello,usst'], ['OPvfQ'], ['a'], ['OPQvfQ'], [' A srandom string with no commaAs ort spaces'], ['ThisSaTwondstringHasNoSpaces'], ['Tjumps,over,thThe,quick,rbrown,fox,jumps,over,tog.e,laz.'], ['qPresident, John, F, Kennedyuicck'], ['ort'], ['onejHello,ust'], ['sPresident, John, F, Kennedyrandom'], ['ThisStringHasNocosmmasychancge,ou?!Spaces'], ['icommaAMultis'], ['Pe,'], ['The,quick,brown,fox,j,umps,over,the,lazy,dog.'], ['HoJohnyu?'], ['spTwradomoaEeJPre,s'], ['Keneello,ustdy'], [' A random string with no commas o r spaces'], ['dcommaA'], ['adJohownding'], ['Hi, my name is John. How are ychaKennedyThe,quick,brown,fox,jumps,over,Hi,nge,ou? aTwoHnd'], ['qquick'], ['Hi, my name is John. HoHw are dsrandom ychange,ou? aTwond'], ['lazrandomy'], ['jumpychange,Hi,'], ['KBCKkvqkp'], ['aTwoycick,brown,fox,jcommas!umps,over,the,lazer,tthe,lazy,dog.er,umps,over,the,lazy,dog.world!\npacenor,Hi,nge,ou?nds'], ['K,ennedyThe,quicjumpsk,brown,fox,jumps,over,Hi,'], ['yort?'], ['HoJomoving,hnyu?'], ['adJohowdMulti\nline\nstring\nHello,\nworld!\ning'], ['sPresident,'], ['Two spTwrandomoaces atfter, one space before , and no spaces in betwstri ngeen A random string with no commas or spaces'], ['areover'], ['movingover,'], ['ychaKennedyThe,quick,brown,fAmazing, how a sentence ianing just jHello,ustby, adding or removing, commas!ou?'], ['ychange,Hi, my space name issMulti\nline\nstring\nHello,\nworld!\npaceno John. How are ychang e,ou? ou?'], ['beThe,quick,rbrown,feeox,jumps,over,the,lazy,dog.fomre'], ['ou?'], ['The quick brown fox jukmps over the lazy dog.'], ['Amazing, how a senteence can change, meaning just by, adding or removing, commas!'], ['here,,,,,,'], ['m'], [' A random string n with no commas o r spaces'], ['The,quick,rbrown,fox,jumpsu,over,jumpychange,Hi, my name is John. How are ychange,ou? ou?sg.'], ['ycPresident,'], ['ychang'], ['adJohoweding'], ['spa,,e,,,,NolazrTwrandomoandomy'], ['lazAmazing, how a sentence can change, meaning just by, addinge or removing, cogmmas!y'], ['spTwradomoaEeJP,s'], ['oPe,?'], ['yuu?'], ['ychaKennedyThJohn.e,quick,brown,fox,jumps,over,Hi,nge,ou?'], ['saddingtring'], ['Hi, my name is John. 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How are ychang e,ou? ou?hn, F, KennedyThe,quick,brown,fox,jumps,over,the,lazy,dog.'], ['sPresident, John, F,n Kennedyrandom'], ['Pretsident,'], ['lazAmazing, how a sentence can change, meaning just by, adding or removing, coHi, my naF,me is Johow areover you? ello,ustmmas!y'], ['dcdommaA'], ['yy'], ['KtowRydY'], ['Presidenpacenor,Hi,nge,ou?ndst, John, F, KennedyThnamee,quick,brown,fox,jumps,over,the,lazy,dog.'], ['jukumps'], ['yXdEonejHello,ustXoUU'], ['sMulti\nline\nstring\nHello,\nmeaningemoving,world!\npaceno'], ['Presidenpacenor,Hi,nge,ou?ndst, Johdn, F, KennedyThnamee,quick,brown,fox,jumps,over,the,lazy,dog.'], ['hiKennedyuccknow'], ['qPresident,'], ['dsrandello,ustmmas!y'], ['JHoJohnyu?'], ['belazAmazing,tweenn'], ['lenine'], ['JkohThe quick brownTwrandomo f the lazy dog.n.'], ['S'], ['atfterHi, my name is John. 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How are ychange,ou? aTwonds in between'], ['HoJohye,ou?u?'], ['Hi, myJoychange,Hi, t'], ['paceno'], ['beTbh'], ['chan,ge,'], ['spa,,e,,,,No'], ['behTbh'], ['aychaKennedyThe,quick,brown,fAmazing, how a sentence ianing just jHello,ustby, adding odog.r removing, commas!ou?ding'], ['thlazAmazing,'], ['KeKnnedynucck'], ['aTwoycick,brown,fox,jcommas!umps,over,the,lazer,tthe,lazy,dog.er,umps,over,the,lazy,dog.world!\npacenor?nds'], ['HoJohye,ou?uKennedyThe,orquick,brown,fox,jumps,over,the,lazy,dog.'], ['lAeSbnrM'], ['The quick brown fox juTwrandomo spaces after, one space before , aTwond no spaces in betweenkmps over the lazy dog.'], ['adJohowdMulti'], ['Twrandomo spaces after, one space before , aTwond no spaceHi, my name iswostringrld! John. How are ychange,ou? aTwonds in between'], ['dsrand,ello,ustmmas!y'], ['naF,me'], ['.Hi, my name is John. 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HoHw are dsrandom ychange,ou? aTwondkp'], ['Tjumps,over,thThe,quick,rbrown,fox,jumyremoving,ou?ps,over,tog.e,lazy,dog.'], ['oThisStringHasNocosmmasychamncge,ou?!Spaceser'], ['here,,,,,,cesne'], ['qPresident, Jiohn, F, Kennedy,uicck'], ['lazAmazing, ehow a sentence can change, meaning just by, addinge or removing, cogmmas!y'], ['lazAmazing, how a sentence can change, meaning justodog.r by, addinge or removing, cogmmas!y'], ['izin'], ['dsrandello,ustmbehTbhmas!'], ['mmy'], ['KBCCKkvqkp'], ['aftThe,quickThbetweene,quick,brown,fox,jAma'], ['sMulti\nline\nstring\nHello,\nworld!\ndom'], ['pnaceno'], ['here,,,,,,addinge'], ['Pe,aTwoHnd'], ['Two spaces after, one space nbefore , and no spaces in betwstringeenHel'], ['brownbeThe,quick,rbrown,feox,jumps,over,the,lazy,dog.fomre'], ['spTwradomoa,s'], ['na,F,me'], ['Ama'], ['ng'], ['meaningemoving,'], ['The quick brown mfox juTwrandomo spaces after, one space before , aTwond no spaces in betweenkmps over the lazy dog.'], ['lazAmazing, how a sentence can change, meaning just by, adding or removing, commas!yeKnney'], ['President, John, F, KennedyThnamee,quick,brown,fox,jumps,over,the,ychange,Hi, my name is John. How are ychange,ou? ou?lazy,dog.'], ['HoJohHi, myJoychange,Hi, tu?u?'], ['quicc'], ['comHoJohyu?m'], ['c!ommas!!'], ['Joychange,Hi,'], ['aTwoycick,brown,fox,jcommas!umps,over,the,lazer,tthe,lazy,dog.er,uThe quick brown mfox juTwrandomo spaces after, one space before , aTwond no spaces in betweenkmps over the lazy dog.mps,over,the,lazy,dog.world!\npacenor?nds'], ['onaftThe,quickThbetweene,quick,brown,fox,jAma zing, how a sentence can change, meaning just by, adding or removing, commas!umps,over,the,lazer,tthe,lazy,dog.er,'], ['Mychange,Hi, my space name issMulti\nline\nstring\nHello,\nworld!\npaceno John. How are ychang e,ou? ou?'], ['brownbeThe,quick,rbrown,feox,jumps,over,the,lazy,edog.fomre'], ['ychaKennedyThe,quick,brown,fAmazing,'], ['Hi, my name is John. HowbeforsMultiethe,lazy,dog. are Tjumps,over,uick,rbrown,fox,jumps,over,tog.e,laz.ychaKennedyThe,quick,brown,fox,jumps,over,Hi,nge,ou? aTwoHnd'], ['Tjumps,over,thThe,quick,rbrown,fox,jumyrefmoving,ou?ps,over,tog.e,lazy,dog.'], ['The quick brown fox jukmps over the lazy dog.chan,ge,'], ['A'], ['cosmmasychancgeu?!'], ['President, John, F, KennedyThe,quick,brown,fox,jumps,over,Hi, mye name is John. How ar e you? the,lazy,dog.'], ['BCKdog.a.Twondskvp'], ['dsrandd'], ['ello,ust'], ['meaningemovning,'], ['Tjumps,over,tdsrand,ello,ustmmas!yhThe,quick,rbrown,fox,jumyremoving,ou?ps,over,tog.e,lazy,dogspaceHi,'], ['nae,F,me'], ['Jiohn,'], ['adJohoychaKennedyThe,quick,brown,fAmazing,dMulti'], ['HoJohyei,ou?uKennedyThe,orquick,brown,fox,jumps,over,the,lazy,dog.'], ['The,quick,rbrown,fox,jumpsu,over,jumpychange,Hi, my name is Johdsrandn. 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How ar e lazy,dog.'], ['qqquick'], ['lazy,dog.'], ['r'], ['HoJohye,ou?uKennedyThe,orquick,brown,fox,spacesjumps,onver,the,lazy,dog.'], ['coychange,ou?ammma!'], ['comJohn.mthbetweenkmpseaAsjukmps'], ['YNe'], ['brow'], ['yremoving,ou?'], ['lazAmazjing, how a sentence can change, meaninglAeSbnrM just by, adding or removing, commas!y'], ['aTwoycick,brown,fox,jcommas!umps,onkmps over the lazy dog.mps,over,the,lazy,dog.world!\npacenor?nds'], ['ycPresidenadJohowdingt,'], ['.Hi, my name is John. HoHw are d ychange,ou? aTwond'], ['beThe,quick,rbrown,fox,jumups,over,the,lazy,do,g.fore'], ['jHelloo,usst'], ['dd'], ['he,,,,,'], ['voTB'], ['President, John, F, KennedyThe,quick,brown,fox,jumps,over,Hi, my name is John. How ar he you? the,lazy,dog.'], ['dsrandelmlo,ustmmHi,srandom my name Pre, F, K,ennedyThe,quicjumpsk,brown,fox,jumps,over,Hi, my name is John. How ar e you? the,lazy,dog.is John. 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['aychaKennedyThe', 'quick', 'brown', 'fAmazing', 'how', 'a', 'sentence', 'ianing', 'just', 'jHello', 'ustby', 'adding', 'odog.r', 'removing', 'commas!ou?ding'], ['thlazAmazing'], ['KeKnnedynucck'], ['aTwoycick', 'brown', 'fox', 'jcommas!umps', 'over', 'the', 'lazer', 'tthe', 'lazy', 'dog.er', 'umps', 'over', 'the', 'lazy', 'dog.world!', 'pacenor?nds'], ['HoJohye', 'ou?uKennedyThe', 'orquick', 'brown', 'fox', 'jumps', 'over', 'the', 'lazy', 'dog.'], ['lAeSbnrM'], ['The', 'quick', 'brown', 'fox', 'juTwrandomo', 'spaces', 'after', 'one', 'space', 'before', 'aTwond', 'no', 'spaces', 'in', 'betweenkmps', 'over', 'the', 'lazy', 'dog.'], ['adJohowdMulti'], ['Twrandomo', 'spaces', 'after', 'one', 'space', 'before', 'aTwond', 'no', 'spaceHi', 'my', 'name', 'iswostringrld!', 'John.', 'How', 'are', 'ychange', 'ou?', 'aTwonds', 'in', 'between'], ['dsrand', 'ello', 'ustmmas!y'], ['naF', 'me'], ['.Hi', 'my', 'name', 'is', 'John.', 'HoHw', 'are', 'dsrandom', 'ychange', 'ou?', 'aTwond'], ['e', 'lazy', 'doge', 'ou?.'], ['A', 'sranadom', 'string', 'with', 'no', 'dcomma', 'or', 'spaces'], ['The', 'quick', 'brow', 'n', 'fox', 'jumps', 'over', 'the', 'lazy', 'dog.'], ['Amazing', 'how', 'aa', 'sentence', 'ianing', 'just', 'jHello', 'ustby', 'adding', 'or', 'removing', 'commas!'], ['qPresident', 'Jiohn', 'F', 'Kedog.a.TwondsnnedyuicckHoohnyu?'], ['dsrandelmlo', 'ustmmas!y'], ['comJohn.maAsjukmps'], ['eTjumps', 'over', 'the', 'lazy', 'dog.'], ['BCKkvq.Hi', 'my', 'name', 'is', 'John.', 'HoHw', 'are', 'dsrandom', 'ychange', 'ou?', 'aTwondkp'], ['Tjumps', 'over', 'thThe', 'quick', 'rbrown', 'fox', 'jumyremoving', 'ou?ps', 'over', 'tog.e', 'lazy', 'dog.'], ['oThisStringHasNocosmmasychamncge', 'ou?!Spaceser'], ['here', 'cesne'], ['qPresident', 'Jiohn', 'F', 'Kennedy', 'uicck'], ['lazAmazing', 'ehow', 'a', 'sentence', 'can', 'change', 'meaning', 'just', 'by', 'addinge', 'or', 'removing', 'cogmmas!y'], ['lazAmazing', 'how', 'a', 'sentence', 'can', 'change', 'meaning', 'justodog.r', 'by', 'addinge', 'or', 'removing', 'cogmmas!y'], ['izin'], ['dsrandello', 'ustmbehTbhmas!'], ['mmy'], ['KBCCKkvqkp'], ['aftThe', 'quickThbetweene', 'quick', 'brown', 'fox', 'jAma'], ['sMulti', 'line', 'string', 'Hello', 'world!', 'dom'], ['pnaceno'], ['here', 'addinge'], ['Pe', 'aTwoHnd'], ['Two', 'spaces', 'after', 'one', 'space', 'nbefore', 'and', 'no', 'spaces', 'in', 'betwstringeenHel'], ['brownbeThe', 'quick', 'rbrown', 'feox', 'jumps', 'over', 'the', 'lazy', 'dog.fomre'], ['spTwradomoa', 's'], ['na', 'F', 'me'], ['Ama'], ['ng'], ['meaningemoving'], ['The', 'quick', 'brown', 'mfox', 'juTwrandomo', 'spaces', 'after', 'one', 'space', 'before', 'aTwond', 'no', 'spaces', 'in', 'betweenkmps', 'over', 'the', 'lazy', 'dog.'], ['lazAmazing', 'how', 'a', 'sentence', 'can', 'change', 'meaning', 'just', 'by', 'adding', 'or', 'removing', 'commas!yeKnney'], ['President', 'John', 'F', 'KennedyThnamee', 'quick', 'brown', 'fox', 'jumps', 'over', 'the', 'ychange', 'Hi', 'my', 'name', 'is', 'John.', 'How', 'are', 'ychange', 'ou?', 'ou?lazy', 'dog.'], ['HoJohHi', 'myJoychange', 'Hi', 'tu?u?'], ['quicc'], ['comHoJohyu?m'], ['c!ommas!!'], ['Joychange', 'Hi'], ['aTwoycick', 'brown', 'fox', 'jcommas!umps', 'over', 'the', 'lazer', 'tthe', 'lazy', 'dog.er', 'uThe', 'quick', 'brown', 'mfox', 'juTwrandomo', 'spaces', 'after', 'one', 'space', 'before', 'aTwond', 'no', 'spaces', 'in', 'betweenkmps', 'over', 'the', 'lazy', 'dog.mps', 'over', 'the', 'lazy', 'dog.world!', 'pacenor?nds'], ['onaftThe', 'quickThbetweene', 'quick', 'brown', 'fox', 'jAma', 'zing', 'how', 'a', 'sentence', 'can', 'change', 'meaning', 'just', 'by', 'adding', 'or', 'removing', 'commas!umps', 'over', 'the', 'lazer', 'tthe', 'lazy', 'dog.er'], ['Mychange', 'Hi', 'my', 'space', 'name', 'issMulti', 'line', 'string', 'Hello', 'world!', 'paceno', 'John.', 'How', 'are', 'ychang', 'e', 'ou?', 'ou?'], ['brownbeThe', 'quick', 'rbrown', 'feox', 'jumps', 'over', 'the', 'lazy', 'edog.fomre'], ['ychaKennedyThe', 'quick', 'brown', 'fAmazing'], ['Hi', 'my', 'name', 'is', 'John.', 'HowbeforsMultiethe', 'lazy', 'dog.', 'are', 'Tjumps', 'over', 'uick', 'rbrown', 'fox', 'jumps', 'over', 'tog.e', 'laz.ychaKennedyThe', 'quick', 'brown', 'fox', 'jumps', 'over', 'Hi', 'nge', 'ou?', 'aTwoHnd'], ['Tjumps', 'over', 'thThe', 'quick', 'rbrown', 'fox', 'jumyrefmoving', 'ou?ps', 'over', 'tog.e', 'lazy', 'dog.'], ['The', 'quick', 'brown', 'fox', 'jukmps', 'over', 'the', 'lazy', 'dog.chan', 'ge'], ['A'], ['cosmmasychancgeu?!'], ['President', 'John', 'F', 'KennedyThe', 'quick', 'brown', 'fox', 'jumps', 'over', 'Hi', 'mye', 'name', 'is', 'John.', 'How', 'ar', 'e', 'you?', 'the', 'lazy', 'dog.'], ['BCKdog.a.Twondskvp'], ['dsrandd'], ['ello', 'ust'], ['meaningemovning'], ['Tjumps', 'over', 'tdsrand', 'ello', 'ustmmas!yhThe', 'quick', 'rbrown', 'fox', 'jumyremoving', 'ou?ps', 'over', 'tog.e', 'lazy', 'dogspaceHi'], ['nae', 'F', 'me'], ['Jiohn'], ['adJohoychaKennedyThe', 'quick', 'brown', 'fAmazing', 'dMulti'], ['HoJohyei', 'ou?uKennedyThe', 'orquick', 'brown', 'fox', 'jumps', 'over', 'the', 'lazy', 'dog.'], ['The', 'quick', 'rbrown', 'fox', 'jumpsu', 'over', 'jumpychange', 'Hi', 'my', 'name', 'is', 'Johdsrandn.', 'How', 'are', 'ychange', 'ou?', 'ou?sg.'], ['Twoyort?'], ['KennedyThe', 'orquick', 'brown', 'fox', 'jumps', 'over', 'the', 'lazy', 'doTjumps.', 'over', 'thThze', 'quick', 'rbrown', 'fox', 'jumps', 'over', 'tog.e', 'lazy', 'dog.g.'], ['srapacenor', 'Hi', 'nge', 'ou?ndoehowm'], ['cosmmasychsPresident', 'John', 'F', 'n', 'Kennedyrandomansrandomcge', 'ou?!'], ['Kennedyrandom'], ['brownTwranhere', 'cesnedomwo'], ['bfA'], ['OPvleifQbelazAmazing', 'tweenn'], ['Twoyor?'], ['spa', 'e', 'eNo'], ['lazAmazing', 'how', 'a', 'sentence', 'can', 'change', 'meaning', 'justodog.r'], ['pnacHello', 'eno'], ['adoJohowdingi'], ['HoJohye', 'ou?uKennedyThe', 'orquick', 'brown', 'fox', 'spacesjumps', 'over', 'the', 'lazy', 'dog.'], ['Mychange', 'Tjumps', 'over', 'uick', 'rbrown', 'fox', 'jumps', 'over', 'tog.e', 'laz.ychaKennedyThe', 'quick', 'brown', 'fox', 'jumps', 'over', 'Hi', 'nge', 'ou?Hi'], ['A', 'srandom', 'string', 'with', 'paces'], ['Hi', 'my', 'naF', 'me', 'is', 'Jomhowlo', 'ust'], ['HoJohye', 'ouo?u?'], ['after', 'BCKkvkp'], ['HoJohye', 'ou?uKenneodyThe', 'orquick', 'brown', 'fox', 'jumps', 'over', 'the', 'lazy', 'dog.'], ['wHow'], ['KtowRydYThe', 'quick', 'brow', 'n', 'fox', 'jumps', 'over', 'the', 'lazy', 'dog.'], ['annd'], ['e', 'lazy', 'dge', 'ou?.'], ['ychaKennedyThe', 'quick', 'brown', 'ifox', 'jumps', 'ovesMulti'], ['wychange', 'Hi', 'my', 'name', 'ThisSaTwondstringHasNoSpaces', 'is', 'John.', 'How', 'are', 'ychang', 'e', 'ou?', 'ou?orld!!'], ['areoveyuur'], ['meaningemosMulti', 'line', 'string', 'Hello', 'meaningemoving', 'world!', 'pacenoving'], ['lazAmazing', 'homeaningemoving', 'w', 'a', 'sentence', 'can', 'change', 'meaning', 'jusfoxt', 'by', 'aaddinge', 'or', 'removing', 'cogmmas!y'], ['VqVVNGVKV'], ['spTwradoa', 's'], ['ou?snaeme'], ['lazAmazing', 'how', 'a', 'sentence', 'can', 'changewojrd', 's', 'g', 'just', 'by', 'adding', 'or', 'removiyng', 'commas!y'], ['usst'], ['betwstringbeen'], ['hereHi', 'srandom', 'my', 'name', 'is', 'John.', 'How', 'spaces', 'are', 'ychange', 'ou?'], ['Pre', 'F', 'K', 'ennedyThe', 'rquicjumpsk', 'brown', 'fox', 'jumps', 'over', 'Hi', 'my', 'n', 'A', 'srandom', 'string', 'with', 'pacesohn.', 'How', 'ar', 'e', 'you?', 'the', 'lazy', 'dog.'], ['A', 'sranadom', 'string', 'with', 'no', 'dcommaAs', 'adJohowdMulti', 'line', 'string', 'Hello', 'world!', 'ingor', 'spaces'], ['Hi', 'myJoychangVqVVNGVKVe', 'Hi', 't'], ['cthlasentencezAmazing', 'osmmaKennedyThnamee', 'quick', 'brown', 'fox', 'jumps', 'over', 'the', 'ychange', 'Hi', 'sychancgeu?!'], ['President', 'John', 'F', 'KennedyThe', 'quick', 'brown', 'fox', 'jumps', 'over', 'Hi', 'mye', 'name', 'is', 'John.', 'How', 'ar', 'e', 'lazy', 'dog.'], ['qqquick'], ['lazy', 'dog.'], ['r'], ['HoJohye', 'ou?uKennedyThe', 'orquick', 'brown', 'fox', 'spacesjumps', 'onver', 'the', 'lazy', 'dog.'], ['coychange', 'ou?ammma!'], ['comJohn.mthbetweenkmpseaAsjukmps'], ['YNe'], ['brow'], ['yremoving', 'ou?'], ['lazAmazjing', 'how', 'a', 'sentence', 'can', 'change', 'meaninglAeSbnrM', 'just', 'by', 'adding', 'or', 'removing', 'commas!y'], ['aTwoycick', 'brown', 'fox', 'jcommas!umps', 'onkmps', 'over', 'the', 'lazy', 'dog.mps', 'over', 'the', 'lazy', 'dog.world!', 'pacenor?nds'], ['ycPresidenadJohowdingt'], ['.Hi', 'my', 'name', 'is', 'John.', 'HoHw', 'are', 'd', 'ychange', 'ou?', 'aTwond'], ['beThe', 'quick', 'rbrown', 'fox', 'jumups', 'over', 'the', 'lazy', 'do', 'g.fore'], ['jHelloo', 'usst'], ['dd'], ['he'], ['voTB'], ['President', 'John', 'F', 'KennedyThe', 'quick', 'brown', 'fox', 'jumps', 'over', 'Hi', 'my', 'name', 'is', 'John.', 'How', 'ar', 'he', 'you?', 'the', 'lazy', 'dog.'], ['dsrandelmlo', 'ustmmHi', 'srandom', 'my', 'name', 'Pre', 'F', 'K', 'ennedyThe', 'quicjumpsk', 'brown', 'fox', 'jumps', 'over', 'Hi', 'my', 'name', 'is', 'John.', 'How', 'ar', 'e', 'you?', 'the', 'lazy', 'dog.is', 'John.', 'How', 'spaces', 'are', 'ychange', 'ou?', 'as!y'], ['HoJohye', 'ou?uKenneodyThe', 'orq', 'uick', 'brown', 'fox', 'jumps', 'over', 'the', 'lazy', 'dog.'], ['lazAmazjing', 'how', 'a', 'sentence', 'can', 'change', 'meaninglAeSbnrM', 'just', 'by', 'addcing', 'or', 'removing', 'commas!y'], ['dcoTjumps', 'over', 'uick', 'rbrown.e', 'laz.mmaA'], ['ychange', 'Hi', 'my', 'name', 'is', 'John.', 'How', 'ychange', 'Hi', 'are', 'ychang', 'e', 'ou?', 'ou?'], ['yeKenney'], ['ou?sg.'], ['beThe', 'quick', 'rbrown', 'feox', 'jumps', 'over', 'the', 'lazy', 'dog.focommas!ou?mre'], ['areobrownTwrandomover'], ['qPresidenJiohn', 'F', 'Kennedy', 'uicck'], ['issMulti'], ['the', 'lazy', 'dog.BCKkvp'], ['agdJohownding'], ['Pre', 'F', 'K', 'ennedyThe', 'rquicjumpsk', 'brown', 'feox', 'jumps', 'over', 'Hi', 'my', 'n', 'A', 'srandom', 'string', 'with', 'pacesohn.', 'How', 'ar', 'e', 'you?', 'the', 'lazy', 'dog.'], ['qqk'], ['noThe', 'quick', 'brown', 'fox', 'juTwrandomo', 'spaces', 'aPresident', 'John', 'F', 'K', 'ennedyThe', 'quicjumpsk', 'brown', 'fox', 'jumps', 'over', 'Hi', 'my', 'name', 'is', 'John.', 'How', 'ar', 'e', 'you?', 'the', 'lazy', 'dog.fter', 'one', 'space', 'before', 'aTwond', 'no', 'spaces', 'in', 'betweenkmps', 'over', 'the', 'lazy', 'dog.'], ['lazAmazjing', 'how', 'a', 'sentence', 'can', 'change', 'meaninglAeSbnrM', 'just', 'by', 'adding', 'or', 'removing', 'commams!y'], ['mye'], ['spaceskpvp'], ['BCKkvq.Hi', 'my', 'name', 'is', 'John.', 'HJohowoHw', 'are', 'dsr', 'andom', 'ychange', 'ou?', 'aTwondkp'], ['sMulti'], ['dsrawithndd']]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(words_string)
print('___SENTINEL___')
| 52ad4a71beed38aa59a46f47649a9f99 |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-4
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-04, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [['Hi, my name is John'], ['One, two, three, four, five, six']]
results = [['Hi', 'my', 'name', 'is', 'John'], ['One', 'two', 'three', 'four', 'five', 'six']]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(words_string)
print('___SENTINEL___')
| e130891b442cc897cdac3c9e7ed24d3a |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-6
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-07, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[12, 15], [13, 12], [33, 12354], [5234, 5233], [6, 29], [27, 10], [7, 7], [546, 546], [20, 30], [30, 30], [50, 60], [12, 14], [10, 12], [3, 5], [6, 20], [100, 200], [1, 2], [30, 35], [100, 6], [6, 30], [101, 6], [21, 3], [14, 14], [100, 100], [100, 35], [35, 101], [60, 60], [35, 35], [5, 6], [2, 35], [60, 50], [28, 1], [35, 200], [200, 5], [60, 6], [20, 20], [30, 6], [28, 35], [200, 200], [20, 36], [1, 6], [30, 1], [21, 5], [35, 199], [11, 14], [201, 201], [6, 5], [13, 10], [12, 16], [199, 12], [14, 13], [1, 1], [60, 11], [13, 35], [100, 30], [12, 12], [15, 14], [5, 5], [36, 29], [12, 11], [100, 15], [27, 28], [200, 201], [11, 201], [10, 11], [100, 13], [15, 29], [200, 101], [3, 3], [101, 15], [36, 35], [34, 101], [101, 101], [1, 14], [30, 21], [12, 3], [10, 4], [2, 2], [21, 20], [30, 50], [200, 199], [3, 101], [6, 15], [50, 59], [11, 11], [12, 13], [29, 35], [30, 201], [99, 5], [60, 21], [20, 5], [6, 35], [6, 36], [100, 98], [5, 200], [31, 50], [60, 59], [59, 21], [101, 34], [1, 15], [201, 1], [35, 50], [50, 3], [10, 35], [14, 30], [201, 200], [201, 199], [61, 60], [23, 27], [8, 10], [10, 17], [999, 998], [7, 20], [17, 21], [31, 99], [1000, 2000], [2, 20], [24, 27], [17, 24], [18, 31], [998, 998], [31, 1], [20, 21], [1, 7], [23, 100], [100, 23], [101, 100], [18, 32], [99, 99], [101, 18], [998, 31], [7, 24], [2000, 21], [19, 20], [1000, 2], [2, 3], [8, 1], [31, 999], [1, 23], [18, 33], [10, 2], [100, 998], [10, 20], [31, 20], [8, 24], [24, 24], [32, 1], [18, 18], [20, 19], [2, 100], [99, 31], [100, 1000], [1, 19], [31, 31], [32, 7], [20, 27], [2, 31], [32, 6], [10, 10], [2, 5], [2000, 998], [24, 33], [17, 17], [8, 9], [33, 2000], [20, 31], [1, 8], [102, 22], [1000, 24], [9, 10], [18, 6], [24, 99], [10, 101], [100, 10], [24, 7], [2, 17], [1000, 22], [20, 22], [23, 21], [9, 24], [32, 3], [9, 5], [3, 1], [2000, 2000], [22, 32], [8, 7], [3, 2], [31, 32], [27, 6], [7, 2000], [27, 101], [20, 7], [2, 1], [17, 33], [10, 24], [33, 33], [100, 31], [23, 18], [99, 998], [23, 31], [21, 21], [99, 32], [1000, 10], [1000, 1], [100, 22], [23, 6], [2, 21], [18, 8], [17, 32], [2, 28], [33, 32], [4, 7], [23, 23], [2001, 2000], [22, 99], [1000, 28], [1, 2001], [22, 4], [8, 2], [11, 10], [8, 8], [32, 22], [1999, 2000], [23, 32], [5, 24], [17, 102], [32, 32], [7, 18], [29, 28], [99, 10], [22, 31], [2, 4], [99, 100], [7, 1], [6, 1999], [10, 25], [28, 28], [1000, 2001], [17, 7], [1999, 28], [27, 27], [21, 19], [998, 100], [32, 33], [24, 10], [33, 24], [99, 6], [998, 32], [32, 34], [25, 20], [33, 3], [998, 1999], [24, 28], [24, 1999], [31, 18], [22, 17], [99, 3], [11, 5], [999, 102], [4, 2], [23, 24], [24, 9], [8, 998], [99, 20], [11, 9], [32, 11], [20, 1999], [19, 24], [1000, 6], [1999, 1], [19, 19], [29, 1], [5, 31], [1001, 18], [29, 18], [8, 20], [4, 4], [2000, 99], [32, 18], [1, 18], [10, 1], [6, 7], [6, 34], [26, 25], [24, 25], [9, 9], [32, 1001], [28, 2], [9, 20], [4, 27], [1, 10], [2000, 16], [20, 32], [1999, 1999], [102, 10], [999, 18], [9, 8], [5, 10], [9, 6], [999, 999], [2000, 101], [10, 29], [22, 8], [16, 6], [10, 32], [17, 34], [10, 28], [7, 102], [1001, 1001], [25, 33], [101, 20], [27, 100], [23, 101], [18, 17], [10, 5], [22, 21], [21, 998], [22, 22], [2, 16], [999, 24], [18, 21], [1000, 1000], [22, 10], [99, 999], [7, 6], [99, 26], [11, 102], [998, 999], [1, 99], [102, 20], [6, 1000], [17, 1000], [103, 7], [1999, 21], [1999, 997], [7, 9], [1003, 1002], [28, 998], [2, 1002], [19, 31], [32, 10], [1, 999], [7, 3], [31, 16], [7, 99], [7, 17], [99, 98], [100, 21], [100, 11], [20, 25], [9, 99], [25, 100], [2, 32], [100, 101], [33, 2001], [98, 32], [2001, 2001], [6, 21], [24, 6], [4, 20], [1003, 1001], [100, 2000], [1999, 1000], [30, 7], [103, 998], [999, 99], [34, 25], [19, 3], [1002, 1003], [34, 4], [17, 99], [23, 1001], [1, 3], [22, 23], [7, 2], [1999, 19], [3, 32], [6, 18], [23, 997], [17, 29], [27, 62], [26, 28], [1001, 7], [22, 5], [997, 998], [29, 100], [22, 100], [22, 6], [62, 62], [34, 34], [32, 21], [29, 6], [16, 3], [998, 10], [1999, 99], [27, 7], [17, 98], [34, 5], [30, 99], [17, 30], [104, 7], [100, 62], [28, 27], [100, 3], [4, 998], [3, 21], [10, 98], [1002, 1999], [98, 21], [4, 10], [25, 17], [24, 23], [2000, 2001], [1003, 998], [998, 997], [32, 1002], [28, 1001], [22, 1], [24, 26], [27, 104], [103, 1001], [11, 12], [6, 8], [101, 32], [1000, 999], [10, 21], [999, 28], [100, 99], [34, 33], [5, 20], [20, 34], [33, 1002], [30, 3], [1000, 29], [12, 29], [4, 24], [20, 102], [29, 98], [70, 70], [18, 62], [18, 19], [5, 16], [1002, 1002], [11, 93], [18, 3], [98, 7], [29, 29], [16, 17], [34, 2], [9, 93], [30, 103], [1001, 70], [23, 1999], [1001, 998], [26, 99], [21, 18], [998, 8], [21, 22], [23, 1], [1003, 1003], [23, 998], [2000, 3], [25, 28], [2, 27], [102, 102], [1004, 1003], [103, 99], [70, 100], [32, 104], [1003, 7], [5, 3], [18, 98], [25, 27], [22, 1000], [103, 103], [1000, 1001], [1002, 1001], [4, 31], [102, 101], [2000, 1004], [21, 8], [99, 70], [3, 1002], [20, 8], [1003, 1004], [33, 30], [6, 6], [25, 9], [31, 4], [70, 5], [31, 28], [19, 33], [3, 4], [5, 9], [1999, 1004], [104, 29], [62, 998], [25, 99], [21, 1999], [33, 34], [997, 4], [102, 998], [1000, 19], [23, 10], [1004, 1004], [997, 2001], [998, 6], [30, 29], [10, 998], [4, 9], [70, 32], [27, 20], [102, 21], [8, 3], [19, 4], [33, 6], [12, 23], [1, 17], [29, 99], [102, 99], [24, 29], [7, 22], [28, 12], [1001, 99], [22, 71], [3, 27], [999, 23], [7, 10], [18, 1], [63, 102], [25, 29], [103, 6], [8, 6], [28, 25], [99, 12], [10, 27], [32, 30], [21, 30], [996, 2001], [104, 27], [28, 17], [999, 1000], [103, 104], [16, 34], [11, 8], [2000, 24], [16, 35], [32, 31], [26, 23], [27, 26], [9, 21], [18, 20], [29, 17], [2, 33], [32, 23], [22, 9], [17, 5], [10, 22], [34, 20], [9, 2], [11, 998], [35, 1], [23, 102], [22, 2001], [2000, 23], [24, 30], [2000, 62], [100, 63], [996, 4], [18, 4], [101, 71], [1003, 20], [70, 21], [10, 3], [72, 71], [27, 1002], [31, 17], [1998, 1999], [62, 21], [71, 71], [2001, 21], [9, 104], [1004, 18], [18, 2], [7, 1000], [19, 32], [17, 2000], [104, 103], [27, 18], [21, 31], [1, 1004], [1999, 98], [21, 7], [30, 17], [1998, 1998], [101, 102], [17, 8], [29, 12], [2001, 16], [1000000, 1000001], [10, 23], [27, 23], [2000, 999], [1, 21], [8, 23], [30, 23], [10, 16], [23, 8], [27, 17], [2000, 17], [7, 31], [7, 27], [999, 30], [2000, 100], [30, 2], [21, 10], [999, 2000], [100, 2], [10, 18], [99, 2], [99, 23], [22, 2000], [1000, 9], [10, 2001], [30, 22], [1000, 17], [999, 17], [999, 100], [9, 2000], [999, 2001], [99, 1000], [31, 21], [2001, 20], [27, 2], [23, 9], [29, 23], [1999, 29], [27, 2001], [5, 23], [10, 100], [101, 2000], [999, 1], [99, 7], [23, 2001], [9, 16], [5, 2], [10, 9], [30, 16], [27, 2000], [17, 2001], [998, 1000], [22, 18], [1999, 999], [10, 1999], [29, 999], [1999, 31], [99, 16], [16, 10], [11, 30], [11, 2], [10, 31], [999, 9], [99, 1], [22, 30], [31, 7], [23, 17], [29, 101], [2002, 2002], [999, 2002], [2000, 18], [16, 21], [99, 17], [10, 7], [21, 16], [23, 7], [1999, 8], [999, 20], [8, 22], [26, 27], [1000, 16], [21, 27], [17, 22], [999, 21], [15, 21], [26, 7], [10, 2000], [11, 100], [21, 23], [5, 18], [9, 1999], [18, 7], [99, 101], [44, 1999], [44, 43], [16, 16], [30, 10], [2000, 7], [11, 99], [99, 24], [2000, 1], [11, 31], [28, 2001], [999, 10], [1001, 24], [29, 22], [2000, 20], [7, 999], [2001, 100], [99, 30], [18, 43], [6, 17], [24, 2001], [102, 30], [11, 22], [999, 5], [99, 1999], [20, 1001], [19, 7], [20, 2000], [7, 8], [2001, 1001], [98, 99], [7, 19], [102, 15], [11, 21], [19, 1001], [98, 1000], [26, 100], [999, 19], [21, 1000], [2002, 31], [23, 99], [26, 2000], [98, 17], [2002, 30], [23, 1002], [2001, 9], [102, 999], [9, 11], [1999, 11], [31, 8], [29, 997], [100, 102], [23, 98], [1999, 17], [5, 102], [28, 8], [24, 17], [29, 5], [15, 15], [1001, 11], [999, 26], [9, 22], [44, 9], [2002, 997], [2000, 10], [7, 23], [18, 2001], [5, 1999], [2000, 5], [101, 10], [2003, 11], [31, 6], [30, 5], [2001, 7], [28, 30], [1999, 30], [24, 5], [1001, 23], [998, 1], [9, 2002], [15, 10], [16, 9], [102, 24], [998, 29], [2002, 2000], [21, 999], [44, 6], [25, 2003], [10, 999], [102, 100], [1001, 100], [15, 2], [19, 22], [2002, 10], [23, 15], [8, 2001], [25, 5], [2001, 2002], [27, 30], [26, 101], [1001, 22], [5, 21], [99, 21], [28, 29], [6, 2002], [2000, 1000], [8, 27], [31, 1001], [32, 5], [2004, 2003], [15, 16], [18, 16], [10, 15], [1, 30], [1, 1001], [2001, 17], [2002, 2001], [99, 1002], [29, 2001], [30, 15], [6, 1001], [20, 26], [30, 100], [1002, 22], [10, 1998], [31, 10], [998, 101], [28, 31], [26, 102], [1, 997], [23, 22], [29, 30], [101, 21], [7, 32], [998, 23], [2003, 7], [43, 1], [1001, 20], [24, 2003], [17, 999], [1001, 30], [1998, 999], [22, 27], [14, 15], [1998, 9], [9, 2001], [998, 28], [24, 20], [1, 2000], [22, 999], [96, 99], [999, 7], [99, 25], [6, 26], [1001, 101], [1, 29], [16, 1], [100, 5], [19, 1999], [22, 1999], [25, 24], [3, 998], [44, 99], [2000, 9], [1998, 31], [1999, 27], [31, 14], [15, 999], [27, 29], [1999, 101], [24, 104], [998, 9], [997, 23], [26, 6], [997, 101], [4, 22], [2004, 31], [31, 30], [1000, 23], [24, 16], [98, 98], [28, 16], [100, 19], [44, 7], [16, 5], [26, 999], [100, 1002], [997, 22], [16, 2001], [2002, 2003], [1998, 2000], [16, 15], [98, 1001], [29, 2003], [21, 100], [2000, 1999], [1000, 1999], [1999, 102], [29, 1002], [6, 99], [103, 102], [100, 1001], [31, 24], [25, 26], [21, 6], [8, 26], [26, 5], [1000, 998], [44, 44], [2004, 8], [9, 7], [20, 16], [103, 27], [102, 18], [998, 2001], [101, 104], [4, 102], [24, 2004], [6, 4], [2001, 104], [17, 28], [100, 43], [1001, 2004], [1998, 43], [2002, 999], [43, 30], [102, 9], [2003, 5], [1002, 102], [1999, 998], [2003, 10], [14, 2], [32, 2001], [1000, 30], [8, 103], [999, 1999], [43, 43], [96, 96], [16, 2002], [7, 2002], [23, 34], [22, 11], [5, 15], [26, 26], [8, 5], [96, 4], [15, 20], [12, 8], [2, 999], [21, 2000], [20, 98], [1, 2004], [997, 997], [21, 102], [18, 9], [14, 998], [28, 2003], [23, 20], [2, 22]]
results = [14, -1, 12354, -1, 28, -1, -1, 546, 30, 30, 60, 14, 12, 4, 20, 200, 2, 34, -1, 30, -1, -1, 14, 100, -1, 100, 60, -1, 6, 34, -1, -1, 200, -1, -1, 20, -1, 34, 200, 36, 6, -1, -1, 198, 14, -1, -1, -1, 16, -1, -1, -1, -1, 34, -1, 12, -1, -1, -1, -1, -1, 28, 200, 200, 10, -1, 28, -1, -1, -1, -1, 100, -1, 14, -1, -1, -1, 2, -1, 50, -1, 100, 14, 58, -1, 12, 34, 200, -1, -1, -1, 34, 36, -1, 200, 50, -1, -1, -1, 14, -1, 50, -1, 34, 30, -1, -1, -1, 26, 10, 16, -1, 20, 20, 98, 2000, 20, 26, 24, 30, 998, -1, 20, 6, 100, -1, -1, 32, -1, -1, -1, 24, -1, 20, -1, 2, -1, 998, 22, 32, -1, 998, 20, -1, 24, 24, -1, 18, -1, 100, -1, 1000, 18, -1, -1, 26, 30, -1, 10, 4, -1, 32, -1, 8, 2000, 30, 8, -1, -1, 10, -1, 98, 100, -1, -1, 16, -1, 22, -1, 24, -1, -1, -1, 2000, 32, -1, -1, 32, -1, 2000, 100, -1, -1, 32, 24, -1, -1, -1, 998, 30, -1, -1, -1, -1, -1, -1, 20, -1, 32, 28, -1, 6, -1, -1, 98, -1, 2000, -1, -1, -1, 8, -1, 2000, 32, 24, 102, 32, 18, -1, -1, 30, 4, 100, -1, 1998, 24, 28, 2000, -1, -1, -1, -1, -1, 32, -1, -1, -1, -1, 34, -1, -1, 1998, 28, 1998, -1, -1, -1, -1, -1, -1, 24, -1, 998, -1, -1, -1, 1998, 24, -1, -1, -1, -1, 30, -1, -1, 20, 4, -1, -1, 18, -1, 6, 34, -1, 24, -1, 1000, -1, 20, 26, 10, -1, 32, -1, -1, -1, -1, 10, -1, -1, -1, 28, -1, -1, 32, 34, 28, 102, -1, 32, -1, 100, 100, -1, -1, -1, 998, 22, 16, -1, 20, 1000, -1, 998, -1, -1, 102, 998, 98, -1, 1000, 1000, -1, -1, -1, 8, -1, 998, 1002, 30, -1, 998, -1, -1, 98, 16, -1, -1, -1, 24, 98, 100, 32, 100, 2000, -1, -1, 20, -1, 20, -1, 2000, -1, -1, 998, -1, -1, -1, 1002, -1, 98, 1000, 2, 22, -1, -1, 32, 18, 996, 28, 62, 28, -1, -1, 998, 100, 100, -1, 62, 34, -1, -1, -1, -1, -1, -1, 98, -1, 98, 30, -1, -1, -1, -1, 998, 20, 98, 1998, -1, 10, -1, -1, 2000, -1, -1, 1002, 1000, -1, 26, 104, 1000, 12, 8, -1, -1, 20, -1, -1, -1, 20, 34, 1002, -1, -1, 28, 24, 102, 98, 70, 62, 18, 16, 1002, 92, -1, -1, -1, 16, -1, 92, 102, -1, 1998, -1, 98, -1, -1, 22, -1, -1, 998, -1, 28, 26, 102, -1, -1, 100, 104, -1, -1, 98, 26, 1000, -1, 1000, -1, 30, -1, -1, -1, -1, 1002, -1, 1004, -1, 6, -1, -1, -1, -1, 32, 4, 8, -1, -1, 998, 98, 1998, 34, -1, 998, -1, -1, 1004, 2000, -1, -1, 998, 8, -1, -1, -1, -1, -1, -1, 22, 16, 98, -1, 28, 22, -1, -1, 70, 26, -1, 10, -1, 102, 28, -1, -1, -1, -1, 26, -1, 30, 2000, -1, -1, 1000, 104, 34, -1, -1, 34, -1, -1, -1, 20, 20, -1, 32, -1, -1, -1, 22, -1, -1, 998, -1, 102, 2000, -1, 30, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1002, -1, 1998, -1, -1, -1, 104, -1, -1, 1000, 32, 2000, -1, -1, 30, 1004, -1, -1, -1, 1998, 102, -1, -1, -1, 1000000, 22, -1, -1, 20, 22, -1, 16, -1, -1, -1, 30, 26, -1, -1, -1, -1, 2000, -1, 18, -1, -1, 2000, -1, 2000, -1, -1, -1, -1, 2000, 2000, 1000, -1, -1, -1, -1, -1, -1, 2000, 22, 100, 2000, -1, -1, 2000, 16, -1, -1, -1, 2000, 2000, 1000, -1, -1, 1998, 998, -1, -1, -1, 30, -1, 30, -1, -1, 30, -1, -1, 100, 2002, 2002, -1, 20, -1, -1, -1, -1, -1, -1, 22, 26, -1, 26, 22, -1, 20, -1, 2000, 100, 22, 18, 1998, -1, 100, 1998, -1, 16, -1, -1, 98, -1, -1, 30, 2000, -1, -1, -1, -1, 998, -1, -1, 42, 16, 2000, -1, 22, -1, 1998, 1000, -1, 2000, 8, -1, 98, 18, -1, 20, 1000, 1000, 100, -1, 1000, -1, 98, 2000, -1, -1, 1002, -1, 998, 10, -1, -1, 996, 102, 98, -1, 102, -1, -1, -1, -1, -1, -1, 22, -1, -1, -1, 22, 2000, 1998, -1, -1, -1, -1, -1, -1, 30, -1, -1, -1, -1, 2002, -1, -1, -1, -1, -1, 998, -1, 2002, 998, -1, -1, -1, 22, -1, -1, 2000, -1, 2002, 30, 100, -1, 20, -1, 28, 2002, -1, 26, 1000, -1, -1, 16, -1, 14, 30, 1000, -1, -1, 1002, 2000, -1, 1000, 26, 100, -1, 1998, -1, -1, 30, 102, 996, -1, 30, -1, 32, -1, -1, -1, -1, 2002, 998, -1, -1, 26, 14, -1, 2000, -1, -1, 2000, 998, 98, -1, -1, 26, -1, 28, -1, -1, 1998, 1998, -1, 998, 98, -1, -1, -1, -1, 998, 28, -1, 104, -1, -1, -1, -1, 22, -1, -1, -1, -1, 98, -1, -1, -1, -1, 998, 1002, -1, 2000, 2002, 2000, -1, 1000, 2002, 100, -1, 1998, -1, 1002, 98, -1, 1000, -1, 26, -1, 26, -1, -1, 44, -1, -1, -1, -1, -1, 2000, 104, 102, 2004, -1, -1, 28, -1, 2004, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2000, -1, 102, 1998, -1, 96, 2002, 2002, 34, -1, 14, 26, -1, -1, 20, -1, 998, 2000, 98, 2004, -1, 102, -1, 998, 2002, -1, 22]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(choose_num)
print('___SENTINEL___')
| 0e2f3c94e7c376e5fedfff1d4d6dd7fb |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-4
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-04, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[12, 15], [13, 12]]
results = [14, -1]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(choose_num)
print('___SENTINEL___')
| 3ec3b78b3bd992b7a8da1828ec9152cf |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-6
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-07, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[1, 5], [7, 13], [964, 977], [996, 997], [560, 851], [185, 546], [362, 496], [350, 902], [197, 233], [7, 5], [5, 1], [5, 5], [1, 1], [3, 9], [25, 35], [10, 30], [100, 200], [15, 15], [10, 10], [50, 100], [15, 100], [200, 30], [51, 100], [51, 50], [30, 200], [3, 101], [35, 35], [4, 3], [50, 50], [4, 9], [9, 50], [6, 5], [3, 6], [9, 9], [6, 6], [30, 201], [25, 25], [15, 16], [9, 6], [200, 6], [3, 16], [9, 3], [1, 200], [201, 200], [16, 30], [6, 7], [201, 25], [14, 15], [2, 9], [10, 6], [10, 4], [7, 30], [16, 5], [9, 10], [2, 2], [101, 16], [6, 4], [16, 16], [49, 49], [101, 200], [29, 30], [7, 3], [15, 14], [201, 31], [4, 2], [201, 201], [2, 7], [2, 10], [4, 1], [15, 25], [30, 16], [8, 31], [5, 3], [4, 4], [31, 30], [3, 1], [14, 32], [7, 10], [10, 5], [202, 25], [202, 15], [999999, 1000000], [10000, 12000], [54321, 98765], [123456, 789012], [1, 100000], [100, 1000], [3000, 5000], [99998, 100003], [10000, 20000], [3000, 20000], [100, 12001], [3000, 1000000], [3000, 3000], [1000, 100], [100000, 1], [100003, 100003], [3000, 1000001], [5000, 100003], [100003, 1], [3000, 999999], [101, 1], [123456, 20001], [1000000, 100], [1000, 10], [1000001, 20000], [20001, 100003], [54322, 54321], [3000, 3001], [2999, 3001], [20000, 20000], [19999, 20000], [1000, 1000], [1000000, 1000000], [999999, 3000], [3001, 3001], [999999, 999999], [3001, 1000000], [1, 12000], [789012, 100002], [75, 100003], [75, 12000], [1, 3001], [99, 100000], [999999, 1000], [10000, 98765], [100, 100], [999999, 1000001], [100003, 20000], [100, 99], [1000, 1000001], [100002, 3000], [99, 1], [54321, 100], [100000, 2], [99, 20000], [54321, 101], [99998, 100000], [100001, 1], [100002, 100003], [100001, 20000], [19999, 100001], [75, 75], [1000000, 999999], [5000, 5000], [2, 54322], [99, 99], [1000000, 54322], [19998, 100001], [54321, 54321], [10, 1], [20001, 99997], [101, 99997], [99997, 100], [999998, 999999], [54321, 54322], [54321, 12000], [999998, 12000], [10, 9], [100001, 789012], [123456, 98765], [20000, 99], [999997, 123456], [75, 99997], [100005, 789012], [99999, 99], [101, 100000], [101, 1000], [54322, 789012], [101, 100001], [10, 11], [999999, 12000], [3001, 99999], [5000, 3000], [99997, 99997], [789012, 789012], [1000000, 54321], [54321, 99], [1000000, 1000001], [3000, 75], [99999, 99998], [19997, 19998], [2999, 2999], [100, 98], [99998, 100], [98765, 98765], [123456, 99], [100, 99997], [1000000, 75], [10000, 2999], [11999, 12000], [100001, 100000], [5000, 100004], [3000, 12001], [999998, 999998], [54320, 54321], [12000, 1000000], [3001, 123456], [99999, 20000], [100001, 789013], [20000, 19998], [20001, 12001], [54323, 54321], [98, 12000], [12000, 12000], [999999, 100], [54320, 12000], [10000, 75], [3000, 99997], [100, 19997], [1000000, 2999], [2, 100000], [999997, 3001], [3001, 3000], [100005, 100003], [100001, 100001], [100000, 100000], [20001, 20001], [19999, 1], [2, 123456], [2, 1000], [10, 999998], [99998, 99], [3001, 2999], [12001, 12000], [98, 99], [3000, 2999], [100, 999998], [101, 101], [99999, 100], [100, 54320], [12000, 11998], [54321, 999998], [9999, 9999], [99997, 999999], [98, 100002], [54321, 1000000], [75, 11999], [98, 98], [10001, 10001], [12001, 12001], [789013, 789013], [19998, 1000001], [54320, 3001], [100, 99998], [73, 92], [100001, 100004], [54320, 54320], [100004, 100003], [1, 5000], [100000, 100001], [54322, 99], [20001, 54322], [100004, 99997], [3000, 3002], [789013, 100004], [789013, 1000000], [1000000, 1], [98765, 4999], [3001, 1], [99, 20001], [2999, 3000], [54321, 54323], [99997, 54323], [54320, 3002], [99999, 20001], [20001, 11998], [999999, 92], [19998, 20000], [100002, 19998], [1000, 3000], [10001, 100001], [3000, 789012], [1000000, 999998], [2, 1], [100001, 10], [3002, 3001], [99998, 99998], [10, 1000000], [100002, 10], [3001, 100003], [3001, 20000], [20000, 10000], [1, 2], [1, 19998], [1, 20001], [1000000, 789013], [1000001, 1000001], [100, 101], [2, 99], [20000, 100002], [9999, 3000], [2, 92], [100002, 100002], [4999, 20001], [54322, 54322], [12000, 19998], [1, 10], [9, 75], [789011, 789011], [2999, 54321], [54322, 100], [3001, 999999], [12000, 999999], [123456, 1000000], [3002, 75], [3000, 2998], [1000001, 73], [100001, 5000], [5000, 92], [100003, 5000], [100004, 100004], [20001, 123456], [99999, 100000], [1, 100], [20001, 20000], [20000, 3001], [1000000, 100004], [12001, 11998], [20001, 98765], [99, 100], [19997, 100000], [2999, 54322], [99997, 10001], [75, 20000], [3000, 99999], [101, 100], [100, 19998], [20002, 99997], [2998, 3001], [5001, 99998], [99998, 19999], [10, 99997], [98766, 98765], [100001, 100003], [3000, 12000], [20000, 12000], [100001, 999999], [2, 54323], [1000000, 10], [5001, 102], [1000000, 3000], [54320, 5000], [19998, 99], [2998, 2998], [98765, 75], [999997, 100004], [789011, 99997], [100000, 20001], [789014, 11998], [789014, 789014], [4999, 3000], [101, 54322], [98, 100003], [11999, 11998], [102, 5001], [4998, 4999], [100001, 1000], [10, 100], [12000, 999997], [100002, 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'0b10111011100', -1, '0b100111000011110', '0b1110101001100000', -1, '0b1111011100010010000', '0b1100000011110000', -1, '0b1100001110000010', -1, '0b1111100100000110000', '0b101110110111', -1, '0b11000011010010', -1, -1, -1, -1, '0b1111010000100100000', '0b11000011010011110', -1, -1, -1, '0b1111100100000101110', '0b1111010000101001110', -1, -1, '0b1000100111', -1, -1, -1, -1, '0b1011110100010', -1, '0b1100100100101100', '0b11110100001000111101', -1, '0b1001110111010', -1, '0b10011101000010', '0b11000010000110101', '0b1100110100010100', '0b1001110001000', '0b1111010000100100001', -1, '0b11000011010100', '0b11000011010011110', -1, -1, -1, -1, -1, '0b100111000011111', '0b1111100111', '0b11000000101000010110', '0b11110001001000000', '0b1100001101010100', '0b1100001110000100', -1, -1, '0b1100000011101111', '0b1111010000101000100', -1, '0b1111010000101000101', -1, '0b10011100010110', '0b11000011010011110', -1, -1, '0b10111011011110', -1, -1, '0b11000011010011111', -1, -1, '0b1100100100101110', '0b1001110001110', -1, '0b11000011010011101', -1, -1, -1, '0b10000000101100111000', '0b1000100110', -1, '0b110111111110101', '0b1111100110', '0b11000011010100110', '0b11000000111001110', '0b1011110010100', -1, -1, '0b10010110101100110', -1, -1, '0b11000000111001110', -1, '0b1100000011101100', '0b110101001001011', -1, -1, -1, '0b10000100110101', -1, '0b11111010000', -1, -1, -1, -1, '0b1110101001100', '0b100101', -1, -1, '0b10111011111', '0b11111010000001', '0b1111011011111101', '0b100111000011100', '0b1111100100000101111', '0b1001110111001', -1, '0b1100001101010010', -1, -1, '0b10110011101100', '0b11000001101', -1, -1, -1, '0b100111110011', -1, -1, '0b1000010', '0b11000011010011110', '0b10100100000100', '0b1100100100101100', -1, -1, -1, -1, -1, -1, -1, -1, '0b1101010000110011', '0b111000', '0b1111101000', '0b1111101000', -1, -1, '0b11110001001000000', -1, '0b1100001101010000', -1, '0b10011100010000', '0b1100000010100111100', -1, -1, -1, -1, -1, '0b11110001001000000', '0b11101010011000', -1, -1, '0b11101010011000', -1, '0b10011100010011', '0b1100000011100111', -1, '0b11110001000111111', '0b1101111011000101010', '0b11011010011000101010', -1, -1, -1, -1, '0b1101100100001011010', '0b1100001110001111010', '0b11000000111001100', '0b11110001000111110', -1, '0b11000010000111000', -1, -1, '0b11000000111001010', '0b1100010101000110', '0b1100000100011001', '0b1100001100010010010', '0b11011001000000101', -1, '0b11011001000000110', '0b11101010011001', -1, '0b11000000111001011', '0b11000000111001100', -1, -1, '0b1101100100001011010', '0b1100001110001111001', '0b1111001100010100', -1, '0b11110001001000001', '0b11011010011000101001', -1, -1, '0b1101100100001011001', '0b1100001011011100', -1, -1, '0b1111000100100000', -1, '0b1001000100101000', -1, -1, '0b10011101000011', '0b1100001110001111010', '0b1111101001', -1, '0b1110101001100000', -1, '0b11000000111001111', '0b1101100100001011010', '0b10011100010010', '0b1101101011000010', '0b1001110001001', -1, '0b1110101001100001', -1, -1, '0b10001001001001000000', '0b11000011010100', -1, '0b1111101010', '0b1100001110001111010', -1, '0b110101001001011', -1, -1, '0b111110110100010', '0b111110110100000', -1, '0b1110011111110110', -1, -1, -1, -1, '0b1111101010', '0b11011010001110000', '0b10000010010101010', '0b1101010001110000', -1, -1, -1, '0b10011100010000', '0b1010101111101', -1, '0b1101011011011010', -1, -1, '0b1100001011011010', '0b10011100010010', -1, -1, -1, '0b11000011010010', '0b110101000011011', '0b1101100010111110000', '0b11000010000110100', '0b11000010000110101', -1, '0b1111001100010100', -1, -1, -1, -1, -1, '0b111110110100010', -1, -1, -1, '0b10000010010101000', '0b1111101010', '0b1010101111011', -1, '0b1100000011101000', -1, '0b1100101010101011', '0b10011100010001', -1, '0b100111000100010', -1, -1, -1, -1, -1, '0b111110110100000', -1, '0b11000000111001010', -1, '0b11110001000111110', -1, -1, '0b10010101011111110', -1, -1, '0b1110101001100001', '0b11000000101000010010', -1, -1, '0b111110110', '0b10011101000100', '0b1100000011100110', '0b10011101000010', -1, -1, -1, -1, -1, '0b1100000100000111', '0b1100000010100111011', '0b11011001000000100', '0b1100000100011000', '0b1111101011', '0b1101010000101110', '0b1100110100010100', '0b11110001001000010', -1, -1, -1, '0b1100000100001010', -1, '0b1100001100010010010', '0b10000100110100', '0b111110110100001', -1, -1, '0b1100010101000011', '0b10101011111000', '0b1000011', '0b100', -1, '0b100111000101', '0b1000000110001000', '0b1100001100010010010', '0b100', '0b10010101011111111', '0b1100110100010100', '0b1111101011100100', -1, '0b1100110100010101', '0b1100101100100', '0b1101100001011000', -1, '0b111100', '0b11000010000110110', -1, -1, -1, -1, '0b100111000110', -1, -1, '0b111111000', -1, -1, '0b1101010001101100', -1, '0b10000000101100111001', '0b11000000111010001', -1, -1, '0b11110100001001000010', '0b1100110100010110', -1, '0b1100000010100111010', -1, '0b10011100010010', '0b1110011111111001', -1, '0b1101011011011001', '0b1101010001101101', -1, '0b111110110100000', '0b10011100010001', -1, -1, '0b1101011011011010', '0b1000100110', '0b1101010000110000', '0b10011101000010', -1, -1, -1, -1, '0b1111101100', -1, '0b1111101001', '0b10011100010010', '0b1100010101000010', -1, '0b1010100', -1, '0b10011100010000', -1, -1, '0b1100000010100101010', '0b10101011111000', '0b10111011100000', '0b11110100001001000010', -1, -1, -1, '0b10010110101101000', '0b10100100000100', -1, '0b11', '0b10011100011100', '0b11011001000000110', -1, -1, -1, -1, '0b11110001001000000', -1, '0b11000011010011110', -1, -1, -1, '0b10010101100000000', '0b11110001001000000', -1, '0b10000010010101000', -1, -1, -1, -1, '0b11000011010011110', '0b1111010000101010000', -1, '0b11000011010100010', -1, '0b1101010000101111', '0b10010110101101000', -1, -1, '0b1100101100010', '0b1001110111010', '0b110101000011000', -1, -1, '0b10101101100111000', -1, '0b10011100010100', -1, -1, -1, '0b110110000001110', '0b11111010010', '0b1100000111011001100', '0b1100001101010010', -1, -1, -1, -1, '0b110101000011001', '0b10110011101100', '0b1101011011011000', -1, '0b10011101000010', -1, '0b1101100010111110010', '0b1001110000111', -1, -1, '0b10010101011111111', -1, -1, '0b10010110101101000', -1, -1, -1, -1, -1, '0b1001110001010', -1, -1, '0b11000000111001100', '0b1100110111100100000', -1, '0b111110111', '0b1111000101010010', -1, -1, -1, '0b1110011111110110', '0b1100001011011100', -1, -1, -1, '0b1100000011110001', '0b10011100010000', '0b1100001011011000', '0b1001110001000', '0b1111010000101000010', '0b1100000011110010', '0b10000110010001101110', '0b10101101100111010', -1, '0b1100100100101110', -1, -1, '0b10010110101101000', -1, '0b1100001101001110', -1, -1, -1, '0b111', '0b1011110100011', '0b1111010000101010001', -1, -1, -1, -1, '0b1100000011101000', -1, -1, -1, '0b1000100110', -1, '0b10100100000100', '0b100111000100000', '0b11011010001110000', '0b1100000100010111', -1, -1, '0b110110000001011', '0b111110', -1, '0b10000000101100111000', '0b11000011010100100', '0b111110110011111', '0b110101001001010', '0b1111010000101000001', '0b1111010000101000000', -1, -1, '0b10111011100010', -1, -1, -1, '0b1111000101010010', -1, -1, -1, '0b1100001100010010000', '0b10000110010001110000', -1, -1, '0b1100001', -1, '0b11000011010010', '0b10111011011111', '0b1111001100010100', '0b1100010110000011010']
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(rounded_avg)
print('___SENTINEL___')
| 1b9dd6431aa75435f0d2965dbb8155f4 |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-4
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-04, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[1, 5], [7, 5], [10, 20], [20, 33]]
results = ['0b11', -1, '0b1111', '0b11010']
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(rounded_avg)
print('___SENTINEL___')
| 2d61c402c36ca0b6e579372d59f1619e |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-6
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-07, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[[15, 33, 1422, 1]], [[152, 323, 1422, 10]], [[12345, 2033, 111, 151]], [[135, 103, 31]], [[257, 369, 781, 409]], [[1357, 79, 8642, 246]], [[321, 741, 951, 753]], [[2358, 159, 647, 380]], [[111, 333, 555, 777]], [[2468, 13579, 86420, 97531]], [[123, 246, 369, 888]], [[951, 753, 246, 135]], [[680, 925, 753, 413]], [[246, 468, 802, 666, 999]], [[321, 741, 951, 753, 321]], [[2358, 159, 647, 381]], [[1357, 79, 8642, 246, 1357, 246]], [[2358, 159, 647]], [[369, 123, 246, 369]], [[13579, 468, 802, 666, 999]], [[257, 369, 781, 409, 369]], [[2358, 159, 321, 381]], [[951, 753, 246, 135, 753]], [[369, 781, 409]], [[2358, 320, 381]], [[2358, 159, 321, 381, 321, 321]], [[1357, 79, 8642, 888, 246, 888]], [[2358, 159, 381, 2358]], [[257, 246, 781, 409]], [[2468, 13579, 86420, 97531, 97531]], [[2358, 2358, 159, 647, 380]], [[320, 741, 951, 753]], [[369, 246, 369]], [[79, 245, 8642, 246, 1357, 246]], [[257, 246, 781, 409, 246]], [[951, 753, 246, 680, 135, 753]], [[1357, 79, 8642, 246, 888]], [[1357, 79, 8642, 888]], [[246, 468, 802, 666, 999, 468, 802]], [[680, 925, 753, 468, 413]], [[646, 2358, 159, 647]], [[1357, 79, 8642, 888, 888]], [[380, 741, 951, 753]], [[2356, 2357]], [[2468, 257, 86420, 888, 413, 13579]], [[321, 159, 13579, 647, 381]], [[2358, 320, 381, 2358]], [[951, 753, 246, 680, 135, 752]], [[13579, 802, 999]], [[2358, 159]], [[2358, 159, 321, 381, 321, 321, 321]], [[111, 333, 778, 555]], [[257, 257, 369, 781, 370]], [[2358, 159, 321, 2468, 381, 321, 321, 159]], [[13579, 86420, 97531, 97531, 97531]], [[646, 2358, 647, 646]], [[1357, 79, 8642, 666]], [[951, 753, 246, 680, 135, 753, 951]], [[1357, 246, 79, 8642, 888, 246, 888]], [[13579, 97531, 97531, 97531]], [[1357, 246, 79, 888, 246, 888]], [[2358, 2358, 159, 647, 2358]], [[753, 246, 134]], [[333, 555, 777]], [[321, 159, 647, 322, 381]], [[1357, 79, 8642, 246, 888, 246]], [[257, 413, 781, 409, 246]], [[246, 369, 246, 888]], [[2357, 2358, 159, 647, 2358]], [[245, 1357, 246, 79, 8642, 888, 246, 888]], [[951, 753, 246, 680, 135, 999]], [[2358, 2359, 159, 647, 2358]], [[321, 159, 8642, 647, 381]], [[666, 369, 2468, 369, 246]], [[2358, 123, 2358, 159, 380]], [[951, 753, 753, 246, 135, 753]], [[1357, 8642, 246, 888, 888]], [[2358, 741, 159, 647, 2358]], [[2358, 158]], [[753, 321, 741, 951, 753, 951]], [[123, 246, 369, 888, 246]], [[2358, 380, 381]], [[2358, 123, 2358, 159, 380, 2358]], [[79, 8642, 246, 1357, 246]], [[468, 111, 333, 778, 555]], [[1357, 666]], [[2468, 159, 381, 2358]], [[159, 2358, 159]], [[159, 381, 2358]], [[2358, 320, 381, 381]], [[246, 369, 245, 888]], [[409, 781, 409]], [[158, 741, 753, 321]], [[1357, 246, 888, 888]], [[680, 753, 468, 753, 413]], [[2468, 159, 2358]], [[2358, 381, 2358]], [[409, 410, 781, 409]], [[410, 2358, 159, 647, 380]], [[13579, 97531, 97531, 97531, 97531]], [[680, 753, 468, 753, 413, 753]], [[13579, 86420, 97531, 97531, 2468]], [[321, 741, 951, 753, 741, 741]], [[2468, 647, 86420, 97531, 97531]], [[123, 234, 345, 456, 567, 678, 789, 890, 901, 102, 213, 324, 435, 546, 657, 768, 879, 987, 876, 765, 654, 543, 432, 321, 210, 111, 222, 333, 444, 555, 666, 777, 888, 999, 1111, 2222, 3333, 4444, 5555, 6666, 7777, 8888, 9999, 1001, 2012, 3013, 4024, 5035, 6046, 7057, 8068, 9079]], [[2, 4, 6, 8, 10, 12, 14, 16, 18, 20]], [[15, 33, 55, 77, 99, 101, 121, 151, 181]], [[246, 468, 1357, 2468, 13579, 24680, 135791, 246802]], [[16, 27, 38, 49, 50, 61, 72, 83, 94, 105]], [[123456789, 246813579, 111111111, 987654321]], [[1111, 2222, 3333, 4444, 5555, 6666, 7777, 8888, 9999, 1010]], [[135, 975, 642, 431, 908, 674, 235, 357, 456]], [[345, 678, 234, 901, 567, 123, 789, 456, 890]], [[12345, 67890, 24680, 13579, 86420, 97531, 84063, 15792]], [[642, 135, 975, 642, 431, 908, 674, 235, 357, 456]], [[642, 135, 975, 642, 431, 908, 674, 235, 357, 456, 975]], [[12345, 67890, 24680, 13579, 86420, 97531, 84063, 15792, 67890]], [[15, 33, 55, 77, 99, 121, 151, 181]], [[38, 678, 234, 901, 567, 123, 456, 890]], [[12345, 24680, 13579, 86420, 97531, 84063, 15792]], [[38, 678, 234, 901, 567, 444, 123, 456, 890]], [[1111, 2222, 3333, 4444, 5555, 6666, 7777, 8888, 9999, 2223, 1010, 1111]], [[642, 135, 975, 642, 210, 431, 908, 674, 235, 357, 456]], [[642, 135, 975, 642, 431, 674, 235, 456]], [[123, 234, 345, 456, 567, 678, 789, 890, 901, 102, 213, 324, 435, 546, 657, 768, 879, 987, 876, 765, 654, 543, 432, 321, 210, 111, 222, 444, 555, 666, 777, 888, 999, 1111, 2222, 3333, 4444, 5555, 6666, 7777, 8888, 9999, 1001, 2012, 3013, 4024, 5035, 6046, 7057, 8068, 9079]], [[642, 455, 135, 975, 642, 431, 674, 235, 456]], [[15, 33, 55, 77, 99, 101, 121, 151, 181, 181]], [[642, 135, 975, 642, 431, 674, 235, 456, 674]], [[642, 455, 135, 975, 642, 431, 674, 6666, 235, 456]], [[642, 455, 135, 975, 642, 431, 674, 235, 456, 642]], [[34, 55, 77, 99, 101, 121, 151, 181, 33, 181]], [[12345, 34, 24680, 13579, 86420, 97531, 84063, 15792]], [[12345, 24680, 13579, 86420, 97531, 5555, 84063, 15792]], [[642, 135, 975, 642, 431, 235, 456, 674, 235]], [[642, 135, 641, 210, 431, 908, 674, 235, 357, 456]], [[12345, 67890, 435, 24680, 13579, 86420, 97531, 84063, 15792, 67890]], [[12345, 67890, 24680, 13579, 97531, 84063, 67890]], [[12345, 67890, 24680, 13579, 86421, 97531, 84063, 15792, 67890]], [[33, 55, 77, 99, 101, 121, 151, 181, 181]], [[642, 135, 975, 210, 431, 908, 674, 235, 357, 456, 642]], [[12345, 67890, 13579, 86420, 97531, 84063, 15792]], [[345, 678, 234, 901, 567, 123, 789, 456, 890, 890]], [[123, 234, 345, 456, 567, 678, 789, 890, 901, 102, 213, 324, 435, 546, 657, 768, 879, 987, 876, 765, 654, 543, 432, 321, 210, 111, 222, 333, 444, 555, 666, 777, 888, 999, 1111, 2222, 3333, 4445, 5555, 6666, 7777, 8888, 9999, 1001, 2012, 3013, 5035, 6046, 7057, 8068, 9079]], [[642, 135, 641, 210, 431, 674, 235, 641, 456]], [[12345, 67890, 435, 24680, 13579, 86420, 97531, 84063, 15792, 67890, 24680]], [[777, 642, 135, 641, 210, 431, 908, 674, 235, 357, 456]], [[12345, 33, 24680, 13579, 86420, 97531, 84063, 15792]], [[12345, 67890, 24680, 13579, 86420, 97531, 15793, 84063, 15792, 67890]], [[33, 55, 77, 99, 101, 121, 151, 181]], [[12345, 67890, 435, 24680, 13579, 86420, 97531, 84063, 15792, 67890, 13579]], [[1111, 2221, 2222, 10000, 3333, 4444, 5555, 6666, 7777, 8888, 9999, 2223, 1010, 1111]], [[16, 27, 38, 49, 50, 61, 72, 83, 94, 105, 16]], [[67890, 24680, 67890, 13579, 86420, 84063, 15791, 67890]], [[12345, 67890, 435, 13579, 86420, 97531, 84063, 15792, 67890, 24680]], [[642, 975, 642, 431, 674, 235, 456, 674]], [[33, 55, 77, 99, 101, 121, 151, 181, 55]], [[431, 67890, 24680, 13579, 97531, 84063, 67890]], [[15, 33, 55, 77, 99, 101, 121, 151, 181, 181, 77]], [[1111, 2221, 2222, 10000, 4444, 5555, 6666, 7777, 1357, 9999, 2223, 1010, 1111]], [[777, 642, 135, 641, 210, 431, 908, 674, 235, 357, 456, 908]], [[642, 1357, 135, 975, 642, 431, 674, 6666, 235, 456]], [[12345, 67890, 246802, 435, 24680, 13579, 86420, 97531, 84063, 15792, 67890]], [[431, 67890, 24680, 13579, 97531, 84063, 67890, 24680, 97531]], [[12345, 34, 24680, 13579, 86420, 97531, 84063, 15792, 12345]], [[345, 678, 234, 901, 567, 123, 789, 456, 890, 674, 890]], [[642, 135, 975, 642, 431, 674, 235, 888, 674]], [[135, 975, 642, 431, 908, 77, 674, 235, 357, 456]], [[777, 642, 135, 641, 210, 431, 908, 674, 235, 357, 456, 641]], [[1111, 2221, 2223, 10000, 8888, 4444, 5555, 6666, 7777, 1357, 9999, 2223, 1010]], [[33, 55, 99, 101, 121, 151, 181, 55]], [[12345, 546, 67890, 435, 24680, 13579, 86420, 97531, 84063, 15792, 67890, 24680, 24680]], [[642, 135, 975, 1010, 642, 431, 674, 235, 456, 674, 456]], [[1111, 2221, 2223, 10000, 8888, 4444, 5555, 6666, 7777, 1357, 9999, 2223, 1010, 8888, 4444, 2221]], [[120, 33, 55, 77, 99, 101, 121, 151, 181, 120, 55]], [[12345, 24680, 13579, 97531, 77, 15792]], [[1111, 2222, 3333, 7778, 4444, 5555, 6666, 7777, 8888, 9999, 2223, 1010, 1111]], [[1111, 2222, 3333, 7778, 4444, 5555, 7777, 8888, 9999, 2223, 1010, 1111]], [[431, 67890, 24680, 13579, 97531, 84063, 67890, 24680]], [[12345, 67890, 24680, 13580, 86420, 97531, 84063, 15792, 67890]], [[642, 135, 975, 642, 431, 908, 674, 235, 357, 456, 975, 642]], [[12345, 24680, 13579, 86420, 5555, 84063, 15792]], [[38, 15, 678, 234, 901, 567, 444, 123, 456, 890]], [[345, 678, 234, 901, 901, 567, 123, 789, 456, 890, 674, 890]], [[642, 2221, 135, 975, 642, 431, 674, 235, 456, 642]], [[431, 67890, 24680, 13579, 84063, 67890]], [[777, 642, 135, 641, 210, 431, 908, 674, 235, 357, 456, 908, 235]], [[34, 55, 77, 99, 101, 121, 121, 151, 181, 33, 181]], [[120, 33, 55, 77, 99, 101, 121, 151, 181, 120, 55, 120]], [[642, 135, 975, 210, 431, 641, 908, 674, 235, 357, 456, 642]], [[1111, 2221, 2222, 10000, 4444, 5555, 6666, 5555, 7777, 1357, 9999, 2223, 1010, 1111]], [[1111, 210, 2222, 3333, 4444, 5555, 6666, 7777, 8888, 9999, 2223, 1010, 1111]], [[84062, 12345, 67890, 435, 13579, 86420, 97531, 84063, 15792, 67890, 24680]], [[12345, 24680, 13579, 86419, 97531, 84063, 15792, 13579]], [[975, 642, 431, 674, 235, 456, 674]], [[13578, 12345, 67890, 435, 24680, 13579, 86420, 97531, 84063, 15792, 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975, 975], [1357, 13579, 135791], [15, 33, 55, 77, 99, 151], [135, 135, 357, 975, 975], [111, 333, 555, 777, 999, 1111, 3333, 5555, 7777, 9999], [], [111, 333, 555, 999, 1111, 3333, 5555, 9999], [1357, 13579, 135791], [111, 333, 555, 777, 999, 1111, 3333, 5555, 7777, 9999], [], [], [3, 5, 13], [111, 333, 555, 777, 999, 1111, 3333, 5555, 7777, 9999], [], [], [], [5], [5, 7777], [111, 333, 555, 777, 999, 1111, 3333, 5555, 7777, 9999], [111, 333, 555, 777, 999, 1111, 3333, 5555, 7777, 9999], [777], [51, 71], [], [111, 333, 555, 777, 999, 1111, 3333, 5555, 7777, 9999], [37], [], [55, 1357, 13579, 135791], [], [5], [], [13579, 135791], [], [111, 333, 555, 777, 999, 1111, 3333, 5555, 7777, 9999], [135], [], [5], [13579, 97531], [111, 333, 555, 777, 999, 1111, 3333, 5555, 7777, 9999], [13579, 13579], [1357, 13579], [111, 333, 555, 777, 999, 1111, 3333, 5555, 7777, 9999], [37, 111, 333, 555, 777, 999, 1111, 3333, 5555, 7777, 9999], [9999], [1357, 13579, 135791], [], [111, 333, 555, 777, 999, 1111, 3333, 5555, 7777, 9999], [1357, 13579], [33, 55, 77, 151], [], [13579, 97531], [13579, 13579], [111, 333, 555, 777, 999, 1111, 3333, 5555, 7777, 9999], [5, 7777], [15, 33, 55, 77, 99, 151], [5, 7777], [111, 333, 555, 777, 999, 1111, 3333, 5555, 7777, 9999], [111, 333, 555, 777, 999, 1111, 3333, 5555, 7777, 9999], [777], [71], [111, 333, 555, 777, 999, 1111, 3333, 5555, 7777, 9999], [], [37, 73], [111, 333, 555, 777, 975, 999, 1111, 3333, 5555, 7777, 9999], [111, 333, 555, 777, 999, 1111, 3333, 5555, 7777], [], [111, 333, 555, 777, 999, 1111, 3333, 5555, 7777, 9999], [37], [], [], [1357, 13579, 13579], [], [15, 15, 33, 55, 77, 99, 151], [777], [], [111, 333, 555, 777, 999, 1111, 3333, 5555, 7777, 9999], [111, 333, 555, 555, 777, 999, 1111, 3333, 5555, 7777, 9999], [111, 333, 555, 777, 999, 1111, 3333, 5555, 7777, 7777, 9999], [], [111, 333, 555, 777, 999, 1111, 3333, 5555], [17], [], [], [5, 17], [], [3, 135, 357, 975, 975, 975], [], [111, 333, 555, 777, 999, 1111, 3333, 3333, 5555, 7777, 9999], [999], [5], [], [71], [111, 333, 555, 777, 999, 1111, 3333, 5555, 7777, 9999], [135, 135, 357, 975, 975, 975], [1357], [111, 333, 777, 999, 1111, 3333, 5555, 7777, 9999], [], [5], [13579], [], [5, 1111], [1357], [5], [3, 5, 13], [11], [13579, 97531], [15, 15, 33, 51, 55, 77, 99, 151], [], [13579, 97531], [], [111, 333, 777, 999, 1111, 3333, 5555, 7777, 9999], [111, 333, 555, 777, 999, 1111, 3333, 3333, 5555, 7777, 9999], [], [], [15, 33, 55, 151], [111, 333, 357, 555, 777, 999, 1111, 3333, 5555, 7777, 9999], [111, 333, 555, 777, 999, 1111, 3333, 5555, 7777, 9999], [3, 7, 13], [1357], [357, 975, 975, 975], [], [555], [], [7], [13579, 97531], [], [5, 7777], [111, 333, 555, 777, 999, 1111, 3333, 5555, 7777, 9999], [71, 71], [111, 333, 555, 777, 999, 1111, 5555, 7777, 9999], [111, 333, 555, 999, 1111, 3333, 5555, 7777, 9999], [111, 333, 555, 777, 999, 1111, 5555, 7777, 9999], [1357, 13579, 135791], [111, 333, 555, 555, 777, 999, 1111, 3333, 5555, 7777, 9999], [111, 333, 555, 999, 1111, 3333, 5555, 7777, 9999], [111, 333, 555, 777, 999, 1111, 3333, 5555], [], [1357, 13579], [13579, 97531], [111, 333, 555, 777, 999, 1111, 3333, 5555], [111, 333, 555, 777, 999, 1111, 3333, 5555, 7777, 9999], [3, 5, 13], [111, 333, 555, 777, 999, 1111, 3333, 5555, 7777, 9999], [5, 7777], [], [], [], [], [], [15, 33, 55, 55, 151], [111, 333, 555, 777, 999, 1111, 3333, 5555, 7777, 9999], [555], [], [1357], [55, 77, 151], [], [111, 333, 555, 777, 999, 1111, 3333, 5555, 7777, 9999], [111, 333, 555, 999, 1111, 3333, 5555, 9999], [111, 333, 555, 777, 999, 1111, 3333, 7777, 9999], [111, 333, 555, 777, 999, 1111, 3333, 5555, 7777, 9999], [1111, 3333, 5555, 7777, 9999], [111, 333, 555, 555, 777, 999, 1111, 3333, 5555, 7777, 9999], [13579, 97531], [], [111, 333, 555, 777, 999, 1111, 3333, 3333, 5555, 7777, 9999], [15, 15, 33, 55, 77, 99, 151], [13579, 135791], [], [], [111, 333, 555, 777, 999, 1111, 3333, 5555, 7777, 9999], [111, 333, 555, 777, 999, 1111, 3333, 5555, 7777, 9999], [], [], [111, 333, 555, 777, 999, 1111, 3333, 3333, 5555, 7777, 7777, 9999], [13579, 97531], [111, 333, 777, 999, 1111, 3333, 5555], [135], [111, 333, 555, 777, 999, 1111, 3333, 5555, 7777, 9999], [99], [1357, 13579], [], [777], [], [111, 333, 555, 777, 999, 1111, 3333, 5555, 7777, 9999], [111, 555, 777, 999, 1111, 3333, 5555, 7777, 9999], [111, 333, 555, 777, 999, 1111, 3333, 5555, 7777, 9999], [], [111, 333, 555, 777, 1111, 3333, 5555, 7777], [37], [111, 333, 555, 777, 999, 1111, 3333, 5555, 7777, 9999], [17, 135], [97531], [111, 333, 777, 999, 1111, 3333, 5555, 7777, 9999], [], [111, 333, 555, 777, 999, 1111, 3333, 5555, 7777, 9999, 9999], [5], [15, 15, 33, 55, 77, 99, 151], [111, 333, 555, 777, 999, 999, 1111, 5555, 7777, 9999], [111, 555, 777, 999, 1111, 3333, 5555, 7777, 9999], [], [135], [], [135, 357, 975, 975, 975], [135, 135, 975], [], [], [3, 5, 7, 13], [111, 333, 555, 777, 999, 1111, 3333, 5555, 7777, 9999], [], [111, 333, 555, 777, 999, 3333, 5555, 7777, 9999], [111, 333, 555, 999, 1111, 3333, 5555, 7777, 9999], [], [111, 333, 555, 777, 999, 1111, 3333, 5555, 7777, 9999], [3, 5, 7, 13], [1111, 3333, 5555, 7777, 9999], [111, 333, 555, 777, 999, 1111, 3333, 5555, 7777, 9999], [71], [], [111, 555, 777, 999, 1111, 3333, 5555, 7777, 9999], [], [111, 333, 555, 777, 999, 1111, 3333, 5555, 7777, 9999], [17], [135], [111, 333, 555, 777, 999, 1111, 3333, 5555, 7777, 9999], [71], [], [], [111, 333, 555, 777, 999, 1111, 3333, 5555, 7777, 9999], [37], [], [111, 333, 555, 777, 999, 1111, 3333, 5555, 7777, 9999, 9999], [13579, 13579, 97531, 97531], [], [111, 333, 555, 555, 555, 777, 999, 1111, 3333, 5555, 7777, 9999], [5], [111, 333, 555, 777, 999, 3333, 5555, 7777, 9999], [], [5, 17], [15, 33, 55, 55, 151], [55, 1357, 13579, 135791], [13579], [5], [13579], [55, 1357, 13579, 135791], [111, 333, 777, 999, 1111, 3333, 5555, 7777, 9999], [], [3, 5, 13, 17], [13579], [777], [111, 333, 555, 777, 999, 1111, 3333, 5555, 7777, 9999], [111, 333, 555, 777, 999, 1111, 3333, 5555, 7777, 9999], [], [3, 135, 357, 975, 975], [555, 13579, 97531], [111, 333, 555, 555, 555, 777, 999, 1111, 3333, 5555, 7777, 9999], [111, 333, 555, 777, 999, 1111, 3333, 5555, 7777, 9999], [111, 333, 555, 777, 999, 1111, 3333, 5555, 7777, 9999], [111, 333, 555, 777, 999, 1111, 5555, 7777, 9999], [1357, 13579], [1357, 13579, 135791, 135791], [111, 333, 555, 777, 999, 1111, 3333, 5555, 7777, 9999], [], [111, 333, 555, 999, 1111, 3333, 5555, 7777, 9999], [], [111, 333, 555, 777, 999, 1111, 3333, 5555, 7777, 9999], [1357, 135791], [37, 73], [], [], [111, 333, 555, 777, 999, 1111, 3333, 5555, 7777, 9999], [], [1357], [13579, 97531], [111, 333, 555, 777, 975, 999, 1111, 3333, 5555, 7777, 9999], [7, 13579, 97531], [111, 333, 555, 777, 999, 1111, 3333, 3333, 5555, 7777, 9999], [111, 333, 555, 777, 999, 1111, 3333, 5555, 7777, 9999], [111, 333, 555, 777, 999, 1111, 3333, 5555, 7777, 9999], [], [13579, 97531], [], [111, 333, 555, 777, 999, 1111, 3333, 5555, 7777, 9999], [3, 5, 13, 17], [15, 33, 55, 77, 151], [], [111, 333, 555, 777, 999, 1111, 1111, 3333, 5555, 7777, 9999], [111, 333, 555, 777, 999, 1111, 3333, 5555, 7777, 9999], [13579, 97531]]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(unique_digits)
print('___SENTINEL___')
| d514f488f446c2eaa275229d04e548dc |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-4
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-04, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[[15, 33, 1422, 1]], [[152, 323, 1422, 10]]]
results = [[1, 15, 33], []]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(unique_digits)
print('___SENTINEL___')
| 9b9635bd7406f52fb49da94a2d5b85e4 |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-6
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-07, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[[2, 1, 1, 4, 5, 8, 2, 3]], [[]], [[1, -1, 55]], [[1, -1, 3, 2]], [[9, 4, 8]], [[9, 8, 7, 6, 5, 4, 3, 2, 1]], [[-1, 0, 5, 6, 10]], [[9, 5, 2, 1, 1, 5, 6, 8]], [[8, 9, 7, 5, 4, 3, 2, 1, 0]], [[1, 2, 3, 4, 5, 6, 7, 8, 9]], [[3, 3, 3, 3, 3, 3]], [[1, 2, 3, 4, 5, 6, 7, 8, 9, 10]], [[9, 9, 9, 8, 8, 8, 7, 7, 7, 1, 1, 1]], [[5, 3, 2, 1, 9, 8, 7, 6]], [[4, 8, 15, 6, 7, 21, 9]], [[6, 3, 3, 3, 3]], [[4, 3, 2, 1, 9, 8, 7, 6]], [[1, 2, 3, 5, 6, 7, 8, 9]], [[8, 9, 7, 5, 4, 3, 2, 1, 5]], [[9, 5, 2, 1, 1, 5, 6, 0, 8]], [[9, 5, 2, 1, 1, 8, 5, 6, 0, 8]], [[9, 8, 7, 6, 5, 5, 4, 3, 2, 1]], [[9, 5, 2, 1, 1, 5, 21, 6, 8]], [[4, 3, 2, 1, 9, 8, 7, 6, 2]], [[9, 5, 2, 0, 1, 1, 5, 6, 0, 8]], [[9, 5, 2, 1, 1, 5, 6, 0, 8, 5]], [[1, 6, 4, 5, 10, 6, 7, 7, 8, 9]], [[1, 2, 3, 4, 6, 21, 7, 8, 9, 10]], [[9, 8, 5, 4, 4, 3, 2, 1, 2]], [[4, 8, 7, 6, 5, 4, 3, 1]], [[1, 22, 2, 3, 4, 6, 21, 7, 8, 9, 10]], [[4, 2, 2, 1, 9, 8, 7, 6, 2]], [[1, 2, 3, 4, 5, 6, 7, 8, 9, 4]], [[4, 2, 1, 9, 8, 7, 6, 2]], [[1, 2, 3, 4, 6, 21, 7, 8, 9, 10, 2]], [[2, 2, 3, 5, 6, 2, 7, 8, 9]], [[4, 8, 3, 4, 7, 6, 5, 4, 3, 1]], [[4, 3, 1, 9, 8, 7, 6, 2]], [[9, 5, 2, 1, 5, 8, 8]], [[1, 2, 3, 6, 21, 7, 8, 9, 10, 10, 8]], [[1, 2, 3, 6, 21, 7, 8, 9, 10, 10, 8, 2]], [[1, 2, 3, 4, 5, 6, 7, 8, 9, 4, 4]], [[4, 2, 2, 1, 9, 7, 7, 6, 2]], [[9, 9, 9, 8, 8, 8, 9, 7, 9, 7, 1, 1, 1]], [[4, 3, 3, 2, 1, 9, 8, 7, 6, 2]], [[8, 7, 5, 4, 3, 2, 1, 5]], [[9, 9, 6, 8, 8, 8, 7, 7, 7, 1, 1, 1]], [[8, 7, 5, 4, 3, 2, 1, 5, 4]], [[4, 2, 2, 22, 9, 8, 7, 6, 2, 9]], [[4, 2, 1, 9, 8, 7, 6, 3]], [[4, 3, 1, 9, 8, 7, 6]], [[8, 5, 7, 2, 1, 7, 1, 6, 8]], [[9, 5, 2, 1, 5, 6, 8]], [[9, 8, 7, 3, 6, 5, 5, 4, 3, 2, 1, 3]], [[4, 8, 4, 7, 6, 5, 4, 3, 1, 6]], [[9, 9, 9, 3, 8, 8, 7, 7, 7, 1, 1, 1]], [[4, 8, 4, 4, 7, 6, -1, 4, 3, 1, 6]], [[4, 8, 15, 6, 7, 21, 9, 4]], [[8, 3, 4, 7, 6, 5, 4, 3, 1]], [[1, 0, 22, 2, 3, 4, 6, 21, 7, 8, 9, 10]], [[9, 8, 7, 3, 6, 3, 5, 5, 4, 3, 2, 1, 3]], [[9, 5, 2, 1, 5, 21, 8]], [[1, 2, 3, 4, 5, 6, 1, 8, 9, 10]], [[1, 22, 2, 3, 4, 6, 21, 7, 8, 2, 9, 10, 21]], [[9, 8, 4, 4, 4, 3, 1, 2]], [[1, 22, 2, 3, 4, 6, 21, 7, 9, 10]], [[4, 2, 1, 9, 8, 7, 6, 2, 4]], [[4, 8, 4, 4, 7, 6, -1, 4, 10, 3, 1, 6]], [[-1, 3, 2, 2, 1, 9, 9, 7, 6]], [[4, 8, 3, 4, 7, 5, 4, 3, 1]], [[3, 3, 1, 9, 8, 7, 6]], [[8, 7, 5, 5, 4, 3, 2, 1, 5]], [[-1, 5, 6, 10]], [[1, 6, 4, 5, 10, 6, 7, 15, 7, 8, 9]], [[3, 9, 8, 7, 3, 6, 3, 5, 5, 4, 3, 2, 1, 3]], [[1, 6, 4, 10, 6, 7, 15, 2, 7, 8, 9]], [[4, 8, 10, 15, 6, 7, 21, 9]], [[9, 9, 6, 8, 8, 8, 7, 7, 7, 10, 1, 1, 1, 7]], [[4, 8, 3, 4, 7, 5, 4, 3, 1, 7]], [[4, 8, 5, 4, 7, 6, 5, 4, 3, 1, 6]], [[1, 22, 2, -1, 3, 4, 6, 21, 7, 9, 10]], [[9, 8, 4, 3, 4, 3, 1, 4]], [[9, 8, 4, 3, 4, 4, 3, 1, 5, 4]], [[1, 2, 3, 6, 21, 7, 8, 9, 10, 10, 0]], [[4, 3, 1, 9, 9, 8, 7, 5]], [[4, 3, 3, 2, 9, 8, 7, 6, 3]], [[3, 9, 8, 7, 3, 6, 3, 5, 5, 4, 3, 2, 1, 3, 7]], [[9, 5, 2, 1, 1, 5, 6, 0, 8, 5, 8]], [[2, 2, 3, 5, 6, 2, 7, 10, 8, 6, 9]], [[10, 5, 4, 8, 4, 4, 7, 6, -1, 4, 3, 2, 6]], [[9, 5, 2, 1, 9, 5, 6, 0, 8]], [[1, 2, 4, 6, 21, 7, 8, 9, 10]], [[8, 4, 7, 5, 5, 4, 3, 2, 1, 5]], [[9, 8, 7, 6, 5, 5, 4, 3, 2, 1, 8]], [[9, 5, 2, 1, 1, 5, -1, 6, 0, 8, 5]], [[4, 2, 1, 1, 9, 8, 7, 6, 2]], [[4, 8, 10, 15, 6, 7, 21, 9, 6]], [[9, 8, 7, 3, 6, 3, 5, 5, 4, 1, 3, 2, 1, 3, 3]], [[1, 2, 3, 6, 21, 7, 8, 9, 10, 10, 10, 2]], [[22, 9, 9, 8, 8, 8, 7, 7, 7, 1, 1, 1, 7]], [[4, 8, 15, 6, 4, 10, 4]], [[9, 8, 7, 6, 5, 4, 2, 1, 4, 6]], [[9, 6, 5, 2, 1, 9, 5, 6, 0, 8]], [[9, 9, 6, 1, 8, 8, 8, 7, 7, 7, 1, 1, 1]], [[0, 10, 11, 12, 13, 14, 15, 16, -1, -5, 20, 25, 30, 100, 200, 300]], [[1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, -10, -20, -30, 7, 8, 9, 1]], [[100000, -1000, 4, 2, 8, 1, 9, 3, 7, 5, 6, 0, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20]], [[3, 3, 3, 3, 3, 3, 3, 3, 3]], [[-1, -2, -3, -4, -5, -6, -7, -8, -9]], [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]], [[100000, -1000, 4, 2, 8, 1, 9, 3, 7, 5, 6, 0, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 11]], [[0, 10, 11, 12, 13, 14, 15, 16, 0, -1, -5, 20, 25, 30, 100, 200, 300, -5]], [[1, 3, 3, 4, 5, 6, 7, 8, 9]], [[9, 8, 7, 2, 6, 5, 4, 3, 2, 1]], [[1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, -10, -20, -30, 7, 8, 9, 1, 3]], [[0, 10, 11, 12, 13, 14, 11, 15, 16, 0, -1, -5, 20, 25, 30, 100, 200, 300, -5, 16]], [[100000, -1000, 4, 2, 8, 1, 9, 3, 7, 5, 6, 0, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 18]], [[3, 3, 3, 3, 4, 3, 3, 3, 3]], [[100000, 2, 3, 4, 5, 6, 7, 8, 9, 10]], [[9, 8, 7, 2, 6, 3, 5, 4, 3, 2, 1]], [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, -4]], [[1, 3, 3, 4, 5, 6, 7, 8, 9, 3]], [[1, 3, 3, 5, 6, 7, 8, 9]], [[1, 3, 3, 4, 5, 25, 6, 7, 8, 9]], [[100000, -1000, 4, 2, 8, 9, 3, 7, 5, 6, 0, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20]], [[1, 2, 3, 4, 5, 6, 7, 8, 30]], [[0, 10, 11, 12, 13, 14, 15, 16, -1, -5, 20, 25, 30, 100, 300]], [[10, 8, 7, 6, 5, 7, 4, 3, 2, 1]], [[100000, -1000, 4, 2, 8, 1, 9, 3, 7, 5, 6, 0, 11, 12, 13, 14, 15, 16, 18, 19, 20, 18]], [[0, 10, 11, 12, 13, 14, 15, 16, -1, -5, 20, 25, 30, 25, 200, 300]], [[0, 1, 8, 2, 3, 7, 4, 5, 6, 7, 8, 9, 10]], [[0, 1, 2, 3, -1000, 5, 6, 7, 8, 9, -4]], [[1, 2, 3, 4, 5, 6, 8, 9]], 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'One', 'One'], ['Nine', 'Eight', 'Eight', 'Seven', 'Six', 'Five', 'Four', 'Three', 'One', 'One'], ['Nine', 'Seven', 'Six', 'Five', 'Three', 'Three', 'One'], ['Nine', 'Eight', 'Seven', 'Six', 'Five', 'Five', 'Five', 'Four', 'Four', 'Three', 'Three', 'Two', 'Two', 'Two', 'One', 'One', 'One'], ['Nine', 'Eight', 'Seven', 'Seven', 'Six', 'Five', 'Five', 'Four', 'Four', 'Three', 'Three', 'Three', 'Three', 'Two', 'One', 'One', 'One'], ['Nine', 'Eight', 'Seven', 'Six', 'Five', 'Four', 'Three', 'Three', 'Two', 'One'], ['Nine', 'Nine', 'Seven', 'Seven', 'Six', 'Five', 'Five', 'One', 'One'], ['Nine', 'Seven', 'Six', 'Five', 'Five', 'Four', 'Four', 'Three', 'Three', 'Two', 'Two', 'One', 'One', 'One', 'One'], ['Nine', 'Eight', 'Seven', 'Six', 'Four', 'Three', 'Two', 'One'], ['Nine', 'Nine', 'Eight', 'Seven', 'Seven', 'Seven', 'Five', 'Four', 'Two', 'One', 'One'], ['Nine', 'Eight', 'Seven', 'Six', 'Five', 'Four', 'Three', 'Two', 'Two', 'One'], ['Nine', 'Eight', 'Eight', 'Seven', 'Three', 'Two'], ['Nine', 'Nine', 'Seven', 'Seven', 'Six', 'Five', 'Four', 'Two', 'Two', 'One'], [], ['Nine', 'Eight', 'Seven', 'Six', 'Five', 'Five', 'Five', 'Four', 'Four', 'Three', 'Three', 'Three', 'Two', 'Two', 'One', 'One', 'One'], ['Nine', 'Eight', 'Eight', 'Seven', 'Four', 'Three', 'Two', 'One'], ['Nine', 'Eight', 'Seven', 'Seven', 'Seven', 'Six', 'Three', 'Three', 'Two', 'Two', 'One'], ['Nine', 'Nine', 'Eight', 'Seven', 'Seven', 'Six', 'Six', 'Four', 'Two', 'One', 'One'], ['Nine', 'Eight', 'Seven', 'Seven', 'Four', 'Three', 'Two'], ['Nine', 'Nine', 'Eight', 'Seven', 'Seven', 'Five', 'Four', 'Two', 'One', 'One'], ['Eight', 'Seven', 'Five', 'Four', 'Four', 'Four', 'Two', 'One'], ['Nine', 'Eight', 'Eight', 'Eight', 'Seven', 'Seven', 'Four', 'Three', 'Two'], ['Nine', 'Eight', 'Seven', 'Seven', 'Six', 'Three', 'Three', 'Three', 'Two'], ['Nine', 'Nine', 'Seven', 'Seven', 'Six', 'Five', 'Four', 'Two', 'Two', 'One'], ['Nine', 'Eight', 'Seven', 'Six', 'Five', 'Four', 'Two', 'One'], ['Nine', 'Nine', 'Eight', 'Seven', 'Seven', 'Seven', 'Five', 'Four', 'Two', 'One', 'One'], ['Nine', 'Eight', 'Eight', 'Eight', 'Seven', 'Seven', 'Four', 'Three', 'Two'], [], ['Eight'], ['Nine', 'Eight', 'Seven', 'Seven', 'Seven', 'Seven', 'Six', 'Five', 'Three', 'Two', 'One'], ['Eight', 'Six', 'Six', 'Six', 'Six', 'Six', 'Five', 'Four', 'Three', 'Two', 'One'], ['Nine', 'Eight', 'Seven', 'Six', 'Five', 'Five', 'Five', 'Four', 'Four', 'Three', 'Three', 'Three', 'Three', 'Two', 'Two', 'One', 'One', 'One', 'One'], ['Nine', 'Six', 'Five', 'Three', 'Three', 'One'], [], ['Nine', 'Eight', 'Seven', 'Seven', 'Six', 'Five', 'Four', 'Two', 'One'], ['Eight', 'Seven', 'Six', 'Six', 'Five', 'Four', 'Four', 'Three', 'Two', 'One'], ['Nine', 'Eight', 'Seven', 'Seven', 'Seven', 'Seven', 'Seven', 'Six', 'Five', 'Three', 'Two', 'One'], ['Nine', 'Eight', 'Six', 'Six', 'Five', 'Five', 'Five', 'Five', 'Four', 'Four', 'Three', 'Two', 'Two', 'One', 'One', 'One'], ['Nine', 'Eight', 'Six', 'Six', 'Five', 'Five', 'Five', 'Five', 'Four', 'Four', 'Three', 'Two', 'Two', 'One', 'One', 'One'], ['Nine', 'Eight', 'Six', 'Five', 'Five', 'Four', 'Four', 'Three', 'Three', 'Two', 'Two', 'Two', 'One', 'One'], ['Nine', 'Eight', 'Six', 'Six', 'Five', 'Five', 'Five', 'Four', 'Four', 'Three', 'Three', 'Two', 'One', 'One'], ['Four', 'Three', 'Three', 'Three', 'Three', 'Three', 'Three', 'Three'], ['Nine', 'Nine', 'Eight', 'Eight', 'Eight', 'Six', 'Five', 'Four', 'Three', 'Two', 'One'], ['Nine', 'Eight', 'Seven', 'Six', 'Six', 'Five', 'Three', 'Three', 'Two', 'Two', 'One'], ['One'], ['Nine', 'Nine', 'Eight', 'Seven', 'Six', 'Five', 'Four', 'Three', 'Three', 'Two', 'One'], ['Nine', 'Nine', 'Nine', 'Eight', 'Seven', 'Six', 'Five', 'Five', 'Four', 'Four', 'Four', 'One', 'One'], ['Nine', 'Seven', 'Four', 'Two', 'One'], ['Nine', 'Nine', 'Eight', 'Seven', 'Seven', 'Six', 'Five', 'Four', 'Two', 'One'], ['Nine', 'Eight', 'Seven', 'Seven', 'Four', 'Two', 'One', 'One', 'One'], ['Nine', 'Eight', 'Eight', 'Seven', 'Six', 'Five', 'Four', 'Four', 'Three', 'Three', 'Three', 'Two', 'Two', 'Two', 'One', 'One', 'One'], ['Nine', 'Nine', 'Eight', 'Eight', 'Six', 'Five', 'Four', 'Three', 'Two', 'One'], ['Nine', 'Eight', 'Seven', 'Six', 'Five', 'Five', 'Five', 'Four', 'Four', 'Four', 'Three', 'Three', 'Two', 'One', 'One', 'One'], ['Nine', 'Eight', 'Seven', 'Six', 'Five', 'Three', 'Two', 'Two', 'One'], ['Two'], ['Seven', 'Seven', 'Six', 'Five', 'Two', 'Two'], ['Nine', 'Seven', 'Five', 'Five', 'Five', 'Five', 'Four', 'Four', 'Three', 'Two', 'Two', 'One', 'One', 'One', 'One'], ['Nine', 'Seven', 'Six', 'Six', 'Five', 'Four', 'Four', 'Two', 'One'], ['Eight', 'Seven', 'Six', 'Six', 'Five', 'Four', 'Four', 'Four', 'Three', 'Two', 'One'], ['Nine', 'Eight', 'Seven', 'Five', 'Four', 'Three', 'Three', 'Two', 'One', 'One', 'One'], ['Nine', 'Seven', 'Seven', 'Six', 'Five', 'Five', 'Four', 'Four', 'Four', 'Three', 'Three', 'Two', 'Two', 'One', 'One', 'One'], ['Nine', 'Nine', 'Eight', 'Eight', 'Seven', 'Seven', 'Five', 'Four', 'Two', 'One', 'One'], ['Nine', 'Nine', 'Eight', 'Seven', 'Six', 'Five', 'Four', 'Three', 'Two', 'One'], ['Nine', 'Eight', 'Seven', 'Seven', 'Seven', 'Seven', 'Seven', 'Six', 'Three', 'Three', 'Two', 'Two', 'One'], ['Nine', 'Nine', 'Eight', 'Seven', 'Six', 'Five', 'Five', 'Four', 'Four', 'Two', 'One'], ['Nine', 'Eight', 'Eight', 'Seven', 'Seven', 'Four', 'Three', 'One'], ['Nine', 'Eight', 'Seven', 'Six', 'Five', 'Five', 'Four', 'Three', 'Two', 'Two', 'One'], ['Nine', 'Eight', 'Seven', 'Six', 'Five', 'Four', 'Three', 'Two', 'One'], ['Eight', 'Seven', 'Six', 'Five', 'Four', 'Four', 'Three', 'Two', 'One'], ['Eight', 'Seven', 'Seven', 'Five', 'Four', 'Three', 'Two', 'One', 'One', 'One'], ['Nine', 'Eight', 'Seven', 'Six', 'Five', 'Four', 'Four', 'Three', 'Three', 'Two', 'Two', 'Two', 'One', 'One'], ['Nine', 'Nine', 'Nine', 'Eight', 'Seven', 'Four', 'Two', 'One'], ['Nine', 'Seven', 'Six', 'Five', 'Five', 'Four', 'Four', 'Three', 'Three', 'Two', 'Two', 'One', 'One', 'One'], ['Nine', 'Eight', 'Seven', 'Six', 'Five', 'Four', 'Three', 'Three', 'Two', 'One'], ['Nine', 'Eight', 'Seven', 'Six', 'Five', 'Four', 'Three', 'Two', 'Two', 'One'], ['Nine', 'Eight', 'Seven', 'Six', 'Six', 'Five', 'Four', 'Three', 'Two'], ['Eight', 'Seven', 'Six', 'Six', 'Five', 'Four', 'Three', 'Two', 'One'], ['Nine', 'Eight', 'Seven', 'Six', 'Five', 'Four', 'Three', 'Two', 'Two', 'Two', 'One'], ['Eight', 'Seven', 'Seven', 'Six', 'Five', 'Four', 'Three', 'Two'], ['Nine', 'Eight', 'Six', 'Six', 'Six', 'Five', 'Five', 'Four', 'Three', 'Two', 'Two', 'One', 'One'], ['Nine', 'Eight', 'Seven', 'Six', 'Five', 'Five', 'Four', 'Four', 'Three', 'Three', 'Three', 'Two', 'Two', 'One', 'One', 'One'], ['Nine', 'Seven', 'Six', 'Five', 'Five', 'Four', 'Four', 'Three', 'Three', 'Two', 'Two', 'Two', 'One', 'One', 'One'], ['Seven', 'Six', 'Five', 'Four', 'Three', 'Two', 'One', 'One'], ['Nine', 'Nine', 'Nine', 'Eight', 'Seven', 'Seven', 'Seven', 'Six', 'Five', 'Four', 'One', 'One'], ['Nine', 'Nine', 'Eight', 'Seven', 'Seven', 'Seven', 'Six', 'Five', 'Four', 'Two', 'One'], ['Nine', 'Nine', 'Eight', 'Eight', 'Six', 'Five', 'Four', 'Three', 'Two', 'One'], ['Nine', 'Nine', 'Nine', 'Eight', 'Seven', 'Six', 'Five', 'Five', 'Four', 'Four', 'Four', 'Four', 'One', 'One'], ['Nine', 'Seven', 'Six', 'Five', 'Four', 'Three', 'Two'], ['Nine', 'Eight', 'Eight', 'Seven', 'Six', 'Five', 'Four', 'Three', 'Two', 'One'], ['Nine', 'Eight', 'Seven', 'Six', 'Five', 'Five', 'Five', 'Four', 'Four', 'Three', 'Three', 'Three', 'Two', 'Two', 'One', 'One', 'One', 'One'], ['Nine', 'Eight', 'Seven', 'Six', 'Six', 'Five', 'Four', 'Three', 'One'], ['Nine', 'Nine', 'Eight', 'Seven', 'Seven', 'Seven', 'Five', 'Four', 'Two', 'One', 'One'], ['Nine', 'Eight', 'Seven', 'Six', 'Five', 'Five', 'Four', 'Three', 'Three', 'Two', 'Two', 'One'], ['Nine', 'Nine', 'Eight', 'Seven', 'Six', 'Five', 'Four', 'Four', 'Three', 'Three', 'Two', 'Two', 'Two', 'One', 'One'], ['Nine', 'Nine', 'Eight', 'Seven', 'Seven', 'Seven', 'Six', 'Five', 'Four', 'Two', 'One'], ['Four', 'Three', 'Three', 'Three', 'Three', 'Three', 'Three', 'Three', 'Two'], ['Nine', 'Nine', 'Nine', 'Eight', 'Seven', 'Six', 'Five', 'Five', 'Five', 'Four', 'Four', 'Three', 'Three', 'Two', 'Two', 'One', 'One', 'One'], ['Nine', 'Eight', 'Seven', 'Seven', 'Six', 'Five', 'Four', 'One'], [], ['Seven', 'Six', 'Six'], ['Nine', 'Nine', 'Eight', 'Seven', 'Seven', 'Six', 'Four', 'One', 'One', 'One'], ['Nine', 'Eight', 'Seven', 'Seven', 'Seven', 'Six', 'Six', 'Five', 'Four', 'Two', 'One'], [], ['Nine', 'Eight', 'Seven', 'Six', 'Four', 'Three', 'Two', 'One'], ['Nine', 'Nine', 'Nine', 'Nine', 'Eight', 'Seven', 'Seven', 'Six', 'Four', 'Four', 'One', 'One'], ['Nine', 'Eight', 'Seven', 'Seven', 'Six', 'Five', 'Four', 'One'], ['Eight', 'Six', 'Six', 'Six', 'Six', 'Six', 'Five', 'Four', 'Three', 'Three', 'Two', 'One'], ['Nine', 'Eight', 'Eight', 'Six', 'Five', 'Four', 'Four', 'Three', 'Two', 'One'], ['Nine', 'Seven', 'Six', 'Five', 'Five', 'Four', 'Four', 'Three', 'Three', 'Two', 'Two', 'One', 'One', 'One'], [], ['Nine', 'Nine', 'Seven', 'Seven', 'Seven', 'Six', 'Six', 'Four', 'Four', 'Two', 'One', 'One'], ['Nine', 'Seven', 'Seven', 'Seven', 'Six', 'Five', 'Five', 'Four', 'Four', 'Three', 'Three', 'Two', 'Two', 'One', 'One'], ['Nine', 'Eight', 'Seven', 'Six', 'Five', 'Five', 'Four', 'Four', 'Three', 'Three', 'Two', 'Two', 'One', 'One', 'One']]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(by_length)
print('___SENTINEL___')
| a37bcbfacd1618d729a6e1754acd24d7 |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-4
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-04, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[[2, 1, 1, 4, 5, 8, 2, 3]], [[]], [[1, -1, 55]]]
results = [['Eight', 'Five', 'Four', 'Three', 'Two', 'Two', 'One', 'One'], [], ['One']]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(by_length)
print('___SENTINEL___')
| efe0b465a6365e71de0fff41733116e9 |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-6
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-07, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[5], [7], [1], [3], [0], [2], [4], [6], [8], [10], [100], [15], [20], [12], [11], [9], [19], [99], [101], [98], [52], [13], [18], [21], [102], [103], [104], [105], [16], [85], [65], [84], [17], [14], [53], [64], [83], [63], [54], [81], [66], [97], [96], [106], [67], [95], [82], [94], [55], [22], [86], [70], [30], [29], [68], [38], [87], [31], [69], [37], [62], [88], [32], [93], [33], [71], [80], [79], [51], [61], [50], [92], [49], [23], [28], [24], [72], [35], [34], [39], [36], [41], [77], [25], [89], [40], [48], [42], [91], [78], [47], [45], [44], [76], [43], [26], [27], [60], [57], [90], [58], [73], [74], [75]]
results = [[1, 2, 6, 24, 15], [1, 2, 6, 24, 15, 720, 28], [1], [1, 2, 6], [], [1, 2], [1, 2, 6, 24], [1, 2, 6, 24, 15, 720], [1, 2, 6, 24, 15, 720, 28, 40320], [1, 2, 6, 24, 15, 720, 28, 40320, 45, 3628800], [1, 2, 6, 24, 15, 720, 28, 40320, 45, 3628800, 66, 479001600, 91, 87178291200, 120, 20922789888000, 153, 6402373705728000, 190, 2432902008176640000, 231, 1124000727777607680000, 276, 620448401733239439360000, 325, 403291461126605635584000000, 378, 304888344611713860501504000000, 435, 265252859812191058636308480000000, 496, 263130836933693530167218012160000000, 561, 295232799039604140847618609643520000000, 630, 371993326789901217467999448150835200000000, 703, 523022617466601111760007224100074291200000000, 780, 815915283247897734345611269596115894272000000000, 861, 1405006117752879898543142606244511569936384000000000, 946, 2658271574788448768043625811014615890319638528000000000, 1035, 5502622159812088949850305428800254892961651752960000000000, 1128, 12413915592536072670862289047373375038521486354677760000000000, 1225, 30414093201713378043612608166064768844377641568960512000000000000, 1326, 80658175170943878571660636856403766975289505440883277824000000000000, 1431, 230843697339241380472092742683027581083278564571807941132288000000000000, 1540, 710998587804863451854045647463724949736497978881168458687447040000000000000, 1653, 2350561331282878571829474910515074683828862318181142924420699914240000000000000, 1770, 8320987112741390144276341183223364380754172606361245952449277696409600000000000000, 1891, 31469973260387937525653122354950764088012280797258232192163168247821107200000000000000, 2016, 126886932185884164103433389335161480802865516174545192198801894375214704230400000000000000, 2145, 544344939077443064003729240247842752644293064388798874532860126869671081148416000000000000000, 2278, 2480035542436830599600990418569171581047399201355367672371710738018221445712183296000000000000000, 2415, 11978571669969891796072783721689098736458938142546425857555362864628009582789845319680000000000000000, 2556, 61234458376886086861524070385274672740778091784697328983823014963978384987221689274204160000000000000000, 2701, 330788544151938641225953028221253782145683251820934971170611926835411235700971565459250872320000000000000000, 2850, 1885494701666050254987932260861146558230394535379329335672487982961844043495537923117729972224000000000000000000, 3003, 11324281178206297831457521158732046228731749579488251990048962825668835325234200766245086213177344000000000000000000, 3160, 71569457046263802294811533723186532165584657342365752577109445058227039255480148842668944867280814080000000000000000000, 3321, 475364333701284174842138206989404946643813294067993328617160934076743994734899148613007131808479167119360000000000000000000, 3486, 3314240134565353266999387579130131288000666286242049487118846032383059131291716864129885722968716753156177920000000000000000000, 3655, 24227095383672732381765523203441259715284870552429381750838764496720162249742450276789464634901319465571660595200000000000000000000, 3828, 185482642257398439114796845645546284380220968949399346684421580986889562184028199319100141244804501828416633516851200000000000000000000, 4005, 1485715964481761497309522733620825737885569961284688766942216863704985393094065876545992131370884059645617234469978112000000000000000000000, 4186, 12438414054641307255475324325873553077577991715875414356840239582938137710983519518443046123837041347353107486982656753664000000000000000000000, 4371, 108736615665674308027365285256786601004186803580182872307497374434045199869417927630229109214583415458560865651202385340530688000000000000000000000, 4560, 991677934870949689209571401541893801158183648651267795444376054838492222809091499987689476037000748982075094738965754305639874560000000000000000000000, 4753, 9426890448883247745626185743057242473809693764078951663494238777294707070023223798882976159207729119823605850588608460429412647567360000000000000000000000, 4950, 93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000], [1, 2, 6, 24, 15, 720, 28, 40320, 45, 3628800, 66, 479001600, 91, 87178291200, 120], [1, 2, 6, 24, 15, 720, 28, 40320, 45, 3628800, 66, 479001600, 91, 87178291200, 120, 20922789888000, 153, 6402373705728000, 190, 2432902008176640000], [1, 2, 6, 24, 15, 720, 28, 40320, 45, 3628800, 66, 479001600], [1, 2, 6, 24, 15, 720, 28, 40320, 45, 3628800, 66], [1, 2, 6, 24, 15, 720, 28, 40320, 45], [1, 2, 6, 24, 15, 720, 28, 40320, 45, 3628800, 66, 479001600, 91, 87178291200, 120, 20922789888000, 153, 6402373705728000, 190], [1, 2, 6, 24, 15, 720, 28, 40320, 45, 3628800, 66, 479001600, 91, 87178291200, 120, 20922789888000, 153, 6402373705728000, 190, 2432902008176640000, 231, 1124000727777607680000, 276, 620448401733239439360000, 325, 403291461126605635584000000, 378, 304888344611713860501504000000, 435, 265252859812191058636308480000000, 496, 263130836933693530167218012160000000, 561, 295232799039604140847618609643520000000, 630, 371993326789901217467999448150835200000000, 703, 523022617466601111760007224100074291200000000, 780, 815915283247897734345611269596115894272000000000, 861, 1405006117752879898543142606244511569936384000000000, 946, 2658271574788448768043625811014615890319638528000000000, 1035, 5502622159812088949850305428800254892961651752960000000000, 1128, 12413915592536072670862289047373375038521486354677760000000000, 1225, 30414093201713378043612608166064768844377641568960512000000000000, 1326, 80658175170943878571660636856403766975289505440883277824000000000000, 1431, 230843697339241380472092742683027581083278564571807941132288000000000000, 1540, 710998587804863451854045647463724949736497978881168458687447040000000000000, 1653, 2350561331282878571829474910515074683828862318181142924420699914240000000000000, 1770, 8320987112741390144276341183223364380754172606361245952449277696409600000000000000, 1891, 31469973260387937525653122354950764088012280797258232192163168247821107200000000000000, 2016, 126886932185884164103433389335161480802865516174545192198801894375214704230400000000000000, 2145, 544344939077443064003729240247842752644293064388798874532860126869671081148416000000000000000, 2278, 2480035542436830599600990418569171581047399201355367672371710738018221445712183296000000000000000, 2415, 11978571669969891796072783721689098736458938142546425857555362864628009582789845319680000000000000000, 2556, 61234458376886086861524070385274672740778091784697328983823014963978384987221689274204160000000000000000, 2701, 330788544151938641225953028221253782145683251820934971170611926835411235700971565459250872320000000000000000, 2850, 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8320987112741390144276341183223364380754172606361245952449277696409600000000000000, 1891, 31469973260387937525653122354950764088012280797258232192163168247821107200000000000000, 2016, 126886932185884164103433389335161480802865516174545192198801894375214704230400000000000000, 2145, 544344939077443064003729240247842752644293064388798874532860126869671081148416000000000000000, 2278, 2480035542436830599600990418569171581047399201355367672371710738018221445712183296000000000000000, 2415, 11978571669969891796072783721689098736458938142546425857555362864628009582789845319680000000000000000, 2556, 61234458376886086861524070385274672740778091784697328983823014963978384987221689274204160000000000000000, 2701, 330788544151938641225953028221253782145683251820934971170611926835411235700971565459250872320000000000000000, 2850, 1885494701666050254987932260861146558230394535379329335672487982961844043495537923117729972224000000000000000000, 3003, 11324281178206297831457521158732046228731749579488251990048962825668835325234200766245086213177344000000000000000000, 3160, 71569457046263802294811533723186532165584657342365752577109445058227039255480148842668944867280814080000000000000000000, 3321, 475364333701284174842138206989404946643813294067993328617160934076743994734899148613007131808479167119360000000000000000000, 3486, 3314240134565353266999387579130131288000666286242049487118846032383059131291716864129885722968716753156177920000000000000000000, 3655, 24227095383672732381765523203441259715284870552429381750838764496720162249742450276789464634901319465571660595200000000000000000000, 3828, 185482642257398439114796845645546284380220968949399346684421580986889562184028199319100141244804501828416633516851200000000000000000000, 4005, 1485715964481761497309522733620825737885569961284688766942216863704985393094065876545992131370884059645617234469978112000000000000000000000], [1, 2, 6, 24, 15, 720, 28, 40320, 45, 3628800, 66, 479001600, 91, 87178291200, 120, 20922789888000, 153, 6402373705728000, 190, 2432902008176640000, 231, 1124000727777607680000, 276, 620448401733239439360000, 325, 403291461126605635584000000, 378, 304888344611713860501504000000, 435, 265252859812191058636308480000000, 496, 263130836933693530167218012160000000, 561, 295232799039604140847618609643520000000, 630, 371993326789901217467999448150835200000000, 703, 523022617466601111760007224100074291200000000, 780, 815915283247897734345611269596115894272000000000, 861, 1405006117752879898543142606244511569936384000000000, 946, 2658271574788448768043625811014615890319638528000000000, 1035, 5502622159812088949850305428800254892961651752960000000000, 1128, 12413915592536072670862289047373375038521486354677760000000000, 1225, 30414093201713378043612608166064768844377641568960512000000000000, 1326, 80658175170943878571660636856403766975289505440883277824000000000000, 1431, 230843697339241380472092742683027581083278564571807941132288000000000000, 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30414093201713378043612608166064768844377641568960512000000000000, 1326, 80658175170943878571660636856403766975289505440883277824000000000000, 1431, 230843697339241380472092742683027581083278564571807941132288000000000000, 1540, 710998587804863451854045647463724949736497978881168458687447040000000000000, 1653, 2350561331282878571829474910515074683828862318181142924420699914240000000000000, 1770, 8320987112741390144276341183223364380754172606361245952449277696409600000000000000, 1891, 31469973260387937525653122354950764088012280797258232192163168247821107200000000000000, 2016, 126886932185884164103433389335161480802865516174545192198801894375214704230400000000000000, 2145, 544344939077443064003729240247842752644293064388798874532860126869671081148416000000000000000, 2278, 2480035542436830599600990418569171581047399201355367672371710738018221445712183296000000000000000, 2415, 11978571669969891796072783721689098736458938142546425857555362864628009582789845319680000000000000000, 2556, 61234458376886086861524070385274672740778091784697328983823014963978384987221689274204160000000000000000, 2701], [1, 2, 6, 24, 15, 720, 28, 40320, 45, 3628800, 66, 479001600, 91, 87178291200, 120, 20922789888000, 153, 6402373705728000, 190, 2432902008176640000, 231, 1124000727777607680000, 276, 620448401733239439360000, 325, 403291461126605635584000000, 378, 304888344611713860501504000000, 435, 265252859812191058636308480000000, 496, 263130836933693530167218012160000000, 561, 295232799039604140847618609643520000000, 630, 371993326789901217467999448150835200000000, 703, 523022617466601111760007224100074291200000000, 780, 815915283247897734345611269596115894272000000000, 861, 1405006117752879898543142606244511569936384000000000, 946, 2658271574788448768043625811014615890319638528000000000, 1035, 5502622159812088949850305428800254892961651752960000000000, 1128, 12413915592536072670862289047373375038521486354677760000000000, 1225, 30414093201713378043612608166064768844377641568960512000000000000, 1326, 80658175170943878571660636856403766975289505440883277824000000000000, 1431, 230843697339241380472092742683027581083278564571807941132288000000000000, 1540, 710998587804863451854045647463724949736497978881168458687447040000000000000, 1653, 2350561331282878571829474910515074683828862318181142924420699914240000000000000, 1770, 8320987112741390144276341183223364380754172606361245952449277696409600000000000000, 1891, 31469973260387937525653122354950764088012280797258232192163168247821107200000000000000, 2016, 126886932185884164103433389335161480802865516174545192198801894375214704230400000000000000, 2145, 544344939077443064003729240247842752644293064388798874532860126869671081148416000000000000000, 2278, 2480035542436830599600990418569171581047399201355367672371710738018221445712183296000000000000000, 2415, 11978571669969891796072783721689098736458938142546425857555362864628009582789845319680000000000000000, 2556, 61234458376886086861524070385274672740778091784697328983823014963978384987221689274204160000000000000000, 2701, 330788544151938641225953028221253782145683251820934971170611926835411235700971565459250872320000000000000000], [1, 2, 6, 24, 15, 720, 28, 40320, 45, 3628800, 66, 479001600, 91, 87178291200, 120, 20922789888000, 153, 6402373705728000, 190, 2432902008176640000, 231, 1124000727777607680000, 276, 620448401733239439360000, 325, 403291461126605635584000000, 378, 304888344611713860501504000000, 435, 265252859812191058636308480000000, 496, 263130836933693530167218012160000000, 561, 295232799039604140847618609643520000000, 630, 371993326789901217467999448150835200000000, 703, 523022617466601111760007224100074291200000000, 780, 815915283247897734345611269596115894272000000000, 861, 1405006117752879898543142606244511569936384000000000, 946, 2658271574788448768043625811014615890319638528000000000, 1035, 5502622159812088949850305428800254892961651752960000000000, 1128, 12413915592536072670862289047373375038521486354677760000000000, 1225, 30414093201713378043612608166064768844377641568960512000000000000, 1326, 80658175170943878571660636856403766975289505440883277824000000000000, 1431, 230843697339241380472092742683027581083278564571807941132288000000000000, 1540, 710998587804863451854045647463724949736497978881168458687447040000000000000, 1653, 2350561331282878571829474910515074683828862318181142924420699914240000000000000, 1770, 8320987112741390144276341183223364380754172606361245952449277696409600000000000000, 1891, 31469973260387937525653122354950764088012280797258232192163168247821107200000000000000, 2016, 126886932185884164103433389335161480802865516174545192198801894375214704230400000000000000, 2145, 544344939077443064003729240247842752644293064388798874532860126869671081148416000000000000000, 2278, 2480035542436830599600990418569171581047399201355367672371710738018221445712183296000000000000000, 2415, 11978571669969891796072783721689098736458938142546425857555362864628009582789845319680000000000000000, 2556, 61234458376886086861524070385274672740778091784697328983823014963978384987221689274204160000000000000000, 2701, 330788544151938641225953028221253782145683251820934971170611926835411235700971565459250872320000000000000000, 2850]]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(f)
print('___SENTINEL___')
| 9e7aa41e17961afcd44e95c71d7eb62a |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-4
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-04, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[5]]
results = [[1, 2, 6, 24, 15]]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(f)
print('___SENTINEL___')
| 1f81600e651f1a93bbec0d598d362a4a |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-6
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-07, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[123], [12], [3], [63], [25], [19], [9], [1], [1000], [500], [777], [10], [15], [27], [35], [50], [89], [201], [51], [11], [26], [778], [88], [202], [28], [200], [31], [30], [999], [32], [36], [87], [779], [998], [203], [86], [33], [14], [29], [34], [24], [204], [13], [23], [780], [85], [781], [206], [16], [499], [84], [207], [17], [205], [997], [199], [498], [37], [776], [775], [22], [52], [83], [774], [782], [78], [21], [208], [773], [98], [209], [497], [772], [996], [18], [8], [53], [7], [38], [79], [90], [20], [771], [97], [82], [6], [496], [770], [77], [62], [91], [783], [502], [61], [210], [92], [60], [93], [503], [501], [76], [75], [59], [888], [555], [400], [978], [505], [506], [401], [979], [504], [96], [556], [887], [507], [889], [508], [554], [977], [402], [399], [553], [95], [890], [398], [509], [886], [99], [510], [511], [891], [94], [552], [551], [550], [397], [885], [980], [396], [884], [100], [512], [994], [995], [57], [395], [892], [557], [982], [993], [80], [883], [981], [983], [58], [984], [403], [404], [5], [976], [974], [405], [985], [4], [973], [975], [893], [39], [494], [986], [101]]
results = [(8, 13), (4, 6), (1, 2), (6, 8), (5, 6), (4, 6), (4, 5), (0, 1), (48, 60), (28, 30), (38, 48), (4, 5), (4, 6), (5, 6), (5, 7), (6, 7), (8, 9), (8, 20), (6, 7), (4, 6), (5, 6), (38, 48), (8, 9), (9, 20), (5, 6), (8, 20), (5, 6), (5, 6), (48, 60), (5, 6), (5, 7), (7, 9), (38, 48), (48, 59), (9, 20), (7, 9), (5, 7), (4, 6), (5, 6), (5, 7), (5, 6), (9, 20), (4, 6), (5, 6), (38, 48), (7, 9), (38, 48), (9, 20), (4, 6), (28, 30), (7, 9), (9, 20), (4, 6), (9, 20), (48, 59), (8, 20), (28, 30), (5, 7), (38, 47), (38, 47), (5, 6), (6, 7), (7, 9), (38, 47), (38, 48), (7, 9), (4, 6), (9, 20), (38, 47), (8, 9), (9, 20), (28, 30), (38, 47), (48, 59), (4, 6), (4, 4), (6, 7), (3, 4), (5, 7), (7, 9), (8, 9), (4, 6), (38, 47), (8, 9), (7, 9), (3, 3), (28, 30), (38, 47), (7, 9), (6, 8), (8, 9), (38, 48), (28, 30), (6, 8), (9, 20), (8, 9), (6, 8), (8, 9), (28, 30), (28, 30), (7, 8), (7, 8), (6, 8), (47, 50), (28, 36), (18, 30), (48, 57), (28, 31), (28, 31), (18, 30), (48, 58), (28, 30), (8, 9), (28, 36), (46, 50), (28, 31), (47, 50), (28, 31), (28, 35), (48, 57), (18, 30), (18, 30), (28, 35), (8, 9), (47, 50), (18, 30), (28, 31), (46, 50), (8, 10), (28, 31), (28, 31), (47, 50), (8, 9), (28, 35), (28, 35), (28, 35), (18, 30), (46, 50), (48, 58), (18, 30), (46, 50), (8, 10), (28, 31), (48, 59), (48, 59), (6, 8), (18, 30), (47, 50), (28, 36), (48, 58), (48, 59), (7, 9), (46, 50), (48, 58), (48, 58), (6, 8), (48, 58), (18, 30), (19, 30), (2, 3), (48, 57), (48, 57), (19, 30), (48, 58), (2, 2), (48, 57), (48, 57), (47, 50), (5, 7), (28, 30), (48, 58), (8, 11)]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(even_odd_palindrome)
print('___SENTINEL___')
| fc41710398f00f09e932903f50bd9342 |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-4
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-04, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[3], [12]]
results = [(1, 2), (4, 6)]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(even_odd_palindrome)
print('___SENTINEL___')
| 3b904d548d2aa0786f41b6143231abb3 |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-6
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-07, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[[]], [[-1, -2, 0]], [[1, 1, 2, -2, 3, 4, 5]], [[1, 6, 9, -6, 0, 1, 5]], [[1, 100, 98, -7, 1, -1]], [[12, 23, 34, -45, -56, 0]], [[0, 1]], [[1]], [[0, 0, 0]], [[-1, 0, 1]], [[123, -456, 789]], [[0, -1, -20, 30]], [[-10, -11, -12, 13, 14, -20]], [[123, 456, 789, -987, -654, -321]], [[100, -250, 375, 500, -750]], [[-10, -20, -30, -40]], [[99, 999, 666, -5555]], [[101, -202, 303, -404, 505, -606]], [[123, 456, 789, 790, -987, -654]], [[101, 303, -404, -606]], [[-5555, -12, 101, -202, 303, -404, 505, -606]], [[100, -250, 375, -750]], [[101, -202, 303, -403, 505, -606]], [[0, -1, -20, 30, 0, -20]], [[-1, -20, 30, 0, -20, 0]], [[-1, 0, 1, -1, 0]], [[0, 666]], [[15, -10, -11, -12, 13, 14, -20]], [[-1, -404, 30, 0, -20, 0]], [[99, -250, 375, -750]], [[303, -404, -606]], [[0]], [[303, -405, -405, -606]], [[99, 99, 999, 666, -5555]], [[99, -250, 375]], [[-2, -20, 30, 0, -20, 0]], [[101, -987, 303, -404, -606]], [[99, 99, 666, -5554, -5555]], [[100, 790, 101, -202, 303, -403, 506, -606]], [[99, 99, 666, -5554, -5555, 99]], [[101, -202, 303, 505, -606]], [[-10, 123, -12, 13, 14, -20]], [[99, 666, -5554, -5555, -5554]], [[101, -202, 303, -403, -606]], [[99, 999, -202, 30, -5555, -202]], [[101, -202, 303, -404, 505, 302, -606, 302]], [[-10, -11, -12, 0, 14, -20]], [[-2, -20, 30, 0, 505, -11]], [[101, 101, -40, 303, -404, -606]], [[-1, 303, 1, -1, 0, 1]], [[99, 999, -202, 30, -5555, -202, 30]], [[15, -10, -11, -12, 13, 14]], [[101, -1, -40, 303, -404, -606]], [[123, 456, 789, -987, -654, -5555, -321]], [[101, 303, -404, 505, -606]], [[-10, -11, 505, 0, 14, -20]], [[-1, -404, 30, 999, -20, 0]], [[-1, -404, 30, 999, -20, 0, 0, 999]], [[101, -202, 303, -404, -606]], [[999, 666, -5555]], [[101, -404, 304, -404, 505, -606]], [[456, 789, 790, -987, -654, 790]], [[0, 0]], [[99, 999, -202, 30, -750, -5555, -202, 30]], [[101, -202, 303, -403, -606, 101]], [[-405, 303, -405, -405, -606]], [[101, -11, -202, -606, 505, -606]], [[999, 665, 666, -5555]], [[123, -456, 789, 123]], 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[[-987654321, 987654321, 3333, -123456789, 123456789, -123456789]], [[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 17, -99, -9, 17]], [[-9999, 2222, -3333, 4444, -5555, -12, -7777, 13, 8888, -9999, 1110, -7776, -7769, 2220, -3330, 4440, 2220, 6660, -7777, 8880, -9990, 8888]], [[1000000, 999999, 1111, -123456, 5000000005, -4443, -987654, -123457, 11111, -22222, 3333, -4444, 555, 666, -77, -999999997, 0, 9, -4444]], [[-987654322, 987654321, -123456789, 123456789, -123456789]], [[6660, -987654321, 987654323, 6659, 987654321, -123456789, -123456789, 123456789, 123456789]], [[1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 11, 13, 14, 15, 16, 17, 18, 19, 20, -199, -99, -9, -9]], [[1000000001, 2000000002, 3000000003, -6000000006]], [[1111, 2222, -3333, 4444, -5555, -7777, -7770, -5550, 8889, -9999, 1110, 2220, -3330, 4440, -5550, 6660, -7770, -9990]], [[1, 3, 4, 2, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, -199, -9, -9, 14]], [[1000000001, 7, -4000000004, 5000000005, -6000000006]], [[1000000, 999999, -888888, -123456, -987654, -3333, 11111, -22222, 3333, -4444, 555, -12, 665, -77, 88, 9, -4444, -4444, 11111]], [[-987654321, 14, -987654322, -123456789, 123456789]], [[2000000002, 13, -4000000004, 5000000005, -6000000006]], [[1111, -3333, 4444, -5555, -7777, 8889, -9999, 1110, 2220, -3330, 4440, -5550, -7770, 8880, -9990, 8889]], [[1, 2, 3, 4, 5, 123, 7, 8, -7769, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, -199, -99, -9, -9, -199]], [[-9999, 2222, -3333, 4444, -5555, -12, -7777, 13, 8888, -9999, 556, 1110, -7776, -7769, 2220, -3330, 4440, 2220, 6660, -13, -7770, 8880, -9990, 8888]], [[-1, -10, 10, -11, 555, -45, -990, -1000, 100, 432, 10, 20, 30, 666, 777, -10000, 123456789, 556, -990]], [[1, 3, 4, 2, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 19, 20, -199, -9, -9, 14]], [[1111, 2222, -3333, 4444, -5555, -7777, -7770, -5550, 8888, -9999, 1110, 2220, -3330, 4440, 2000000002, -5550, 6660, -7770]], [[-9999, -12, 2222, -3333, 4444, 8881, -5555, -12, -7777, -999, 8888, -9999, 1110, -7776, 2220, -3330, 4440, -5550, 2220, 6660, -7770, 8880, -9990, 555, 8888]], [[1, 2, 3, 4, 5, 6, 7, 8, 9, -77, -99, 99, -999, -999999990, 999, -9999, 9999, -99999, 99999, -1111111, -99]], [[1000000001, -999999994, 2000000001, -4000000004, 5000000005, -6000000006, -6000000006, -999999994, 5000000005]], [[-123456789, 100, 987654322, 9999, 987654321, -123456789, -987654322, -123456789, 987654321]], [[987654322, -12, -123456788, -123456789, 123456789, 987654321, -12]], [[-999999994, -999999998, -999999997, -999999996, -999999995, -999999994, -999999993, -999999992, -999999991, -999999990, -999999994]], [[8, 1000000001, 7, 3000000003, 5000000005, -6000000006, 3000000003, 3000000003]], [[1111, 2222, -3333, 4444, -5555, -11, -7777, 8888, 1110, -7776, 2220, -3330, 4440, -5550, 6660, -7770, 8880, -9990, 8888, -9990, -3333]], [[1, 2, 3, 4, 7, 8, 9, -99, 99, -999, -999, -999999990, 999, -9999, 9999, -99999, 9998, 123, -1111111, -99, 1]], [[1000000, 999999, -888888, -123456, -987654, 11111, -22222, 3333, -4444, 555, 665, 88, 9, -4444, -4444, 9]], [[1000000001, 2000000002, 3000000003, 8889, -6000000006, 3000000003]], [[-123456789, 987654321, -7770, 987654322, 9999, 987654321, -123456789, -987654322, -123456789, 987654321]], [[1000000, 999999, -888888, -123456, -987654, 11111, -22222, 3333, -4444, 555, -12, 665, -77, 88, 9, -4444, -4444, 11111, -888888]], [[1000000, 999999, -888888, -123456, -987654, 11111, -22222, 3333, -4444, 555, 665, -77, -77, 88, 9, -4444, -4444, 9]], [[-987654321, 123456789, 987654321]], [[1, 2, 3, 4, 5, 7, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, -999, 18, 19, 20, -199, 8, -9, -8, 19]], [[2222, -3333, 4444, -5555, -7777, 8888, -9999, 1110, -7776, 2220, -3330, 4440, -5550, 2220, 6660, -7771, 8880, -9990, 8888, 8888]], [[1111, 2222, -3333, 4444, -5555, -7777, -7770, -5550, 8888, -9999, 1110, 2220, -3330, 4440, 2000000002, -5550, 6660, -7770, -3330]], [[1000000, 999999, -888888, -123456, -987654, -3333, 11111, -22222, 3333, -4444, 555, 99, 665, -77, 88, 9, -4444, -4444, 11111, -888888]], [[1000000, 999999, -888888, -123456, -987654, 11111, -22222, 3333, -4444, 555, 666, -77, 9, 88, 9, -4444, -987654, -4444, -77]], [[-987654321, -123456789, 123456788, -123456789]], [[1, 2, -5555, 3, 4, 2, 5, 665, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, -199, -9, 99, 14, 10]], [[1111, 2222, -3333, 4444, -5555, 6666, -7777, 8888, -9999, 1110, 2220, -3330, 4440, -5550, -7770, 1109, 6660, -7770, 8880, -9990, 4440]], [[987654322, 123456789, -123456789, 123456789, -123456789, 2000000000]], [[1000000001, -999999994, -123456790, -999999993, 5000000005, 2000000001, -4000000004, 5000000005, -6000000006, -999999993, -999999994, 2000000000, 5000000005]], [[1, 2, 3, 4, 5, 6, 7, 8, 9, -99, 99, -999, -999999990, 999, -9999, 9999, -99999, 99999, -1111111, -99, 1]], [[1000000, 999999, -888888, -123456, -4443, -987654, 11111, -22222, 3333, -4444, 555, 666, -77, 88, 9, -4444, -4444]], [[0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0]], [[-99999, 1000000001, 2000000002, 15, 3000000003, 5000000005, -6000000006, 3000000003, -6000000006]], [[1111, -10000, -3333, 4444, -5555, -7777, 8888, -9999, 1110, -3333, 2220, 4440, -5550, 2220, 6660, -7770, 8880, -9990, 8888]], [[1111, 2222, -3333, 4444, -5555, -7777, 8888, -9999, 1110, 2220, -3330, 4440, -5550, 6660, -7770, 8880, -9990, 2220]], [[1111, 2222, -3333, 4444, -5555, -11, -7776, 8888, -9999, 1110, -7776, 2220, -3330, 4440, -5550, 6660, -7770, 8880, -9990, 8888, -9990]], [[1000000, 999999, -888888, -123456, -987654, 11111, -22222, 3333, 10, -4444, 555, 666, -77, 9, 88, 9, -4444, -4444]], [[1111, 2222, -3333, 4444, -7777, -9999, 1110, 2220, -3330, 4440, -5550, 6660, -22222, -7770, 8880, -9990, -7770, 4444]], [[1111, 2222, -3333, 4444, -5555, -7777, 8888, -9999, 1110, -7776, 2220, -3330, 4440, -5550, 2220, 6660, -7770, 8880, -9990, 8888, -9990, -9999]], [[1, 2, 3, 4, 6, 7, 8, 9, -99, 99, -999, -999, -999999990, 999, -9999, 1109, -99999, 9998, 99999, -1111111, -99, 1]], [[1, 2, 3, 8, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, -9999, 16, 17, 18, 19, 17, 20, -99, -9, 17, 8, 1, -9]], [[16, -987654321, 14, -999999990, -123456789, 123456789]], [[1111, 2222, -3333, 4444, -5555, -9999, 1110, -5551, 2220, -3330, 4440, -5550, 6660, -7770, 8880, -9990, 4444, -3333]], [[2000000002, 15, 2000000001, 3000000003, 5000000005, -6000000006, 3000000003]], [[1000000, 999999, -888888, -123456, -987654, 11111, -22222, 3333, -4444, 555, 666, -77, 88, 9, -4444, -4444, 88]], [[-987654321, 987654322, 123456789, 987654321, -123456789, -123456789, 123456789, 987654321, -123456789, -123456789]], [[1111, 2222, -3333, 4444, -7777, 8888, -9999, 1110, 2220, -3330, 4440, -5550, 6660, -7770, 8880, -9990, -3330, 4440]], [[-99, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, -123456, 17, 18, 19, 20, -199, -99, -9, -9, 7]], [[-10000, 2, 4, 5, 6, 7, 8, 9, -99, 99, -999, 999, -9999, 9999, -99999, 99999, 9999]], [[1000000, 999999, -888888, -123456, 5000000005, 11111, -22222, 3333, -4444, 555, 666, -77, 88, 9, -4444, -4444]], [[1000000, 999999, -888889, -123456, 5000000005, 11111, -22222, 3333, -4444, -76, 555, 666, 88, 9, -4444, -4444]], [[1111, 2222, -3333, 4444, -5555, -7777, 8888, -9999, 1110, 2220, -3330, 4440, -5550, 6660, -22222, -7770, 8880, -7776, -9990, -7770, 4444, 2220, -22222]], [[1000000001, 2000000002, 15, -6000000005, 3000000003, 5000000005, -6000000006, 3000000003, -6000000006]], [[1000000, 999999, -888888, -123455, -987654, 11111, -22222, 3333, -4444, 555, 666, -77, 9, 88, 9, -4444, -4444]], [[1111, 2222, -3333, 4444, -5555, -7777, 8888, -9999, 1110, 2220, -3330, 4440, -5550, -22222, -7770, 8880, -7776, -9990, -7770, 4444, 2220, -22222]], [[-10000, 2, 3, 4, 5, 6, 7, 8, -9999, -99, 99, 999, -9999, -123457, -99999, 99999, -1111111]], [[-999999997, 2000000002, 1111, 15, 3000000003, -6000000006]], [[-987654321, -123456789, 987654321, -123456789, 123456789]], [[1000000001, 2000000002, 3000000003, 5000000005, -6000000006, 2222, 11, 3000000003, 1000000001]], [[1111, -3333, 4444, -5555, -7777, 8888, -9999, 1110, 2220, -3330, 4440, 4443, -5550, 6660, 8880, -9990, -3333, 8880, 4444, 8880, 4444]], [[1111, 2222, -3333, 4444, -5555, -11, -7777, 8888, -9999, 1110, -7776, 2220, -3330, 4440, -5550, 6660, -7770, 8880, -9990, 8888, -9990, 4444, 6660]], [[1000000, 999999, -888888, -123456, -987654, 11111, 3333, -4444, 555, 665, -77, -77, 88, 9, -4444, -4444, 9]], [[-1, -10, 10, -11, -12, -999999997, 797, -45, -990, 100, 123, -123456790, 432, 10, 20, 123, 30, 666, 777, -10000, 123456789]], [[1111, 2222, -3334, 4444, -5555, -7777, 8888, -10000, 1110, 2220, 4440, -5550, -7770, 8880, -5554, -9990]], [[1111, 2222, 4444, -5555, -7777, -7770, -5550, 8888, -9999, 1110, 2220, -3330, 4440, -5550, -22222, 6660, -7770, 8880, -9990, 2220]], [[1, 2, -5555, 3, 4, 2, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, -199, -9, -9, 14, 17, 2]], [[1111, 2222, -3333, 4444, -7777, 8888, -9999, 1111, -7776, 2220, -3330, 4440, -5550, 2220, 6660, -999999998, 8880, -9990, 8888]], [[2000000002, 2000000002, 15, 3000000003, -6000000006, 3000000003]], [[1111, 2222, 4444, -5555, -7777, 8888, -9999, 1110, 2220, -3330, 4440, -5550, 6660, -7770, 8880, -9990]], [[1, 3, 4, 2, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 19, 20, -199, -9, -9, 14, -9]], [[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0]], [[1111, 2000000001, 2222, 4444, -5555, -7770, -5550, 8888, -9999, 1110, 2220, -3330, -5550, -22222, 6660, -7770, 8880, -9990]], [[1000000, 999999, -888888, -123456, -987654, -4444, 11111, -22222, 3333, 10, -4444, 555, 16, 666, -77, 9, -7777, 88, 9, -4444, -4444]], [[6660, -987654321, 987654323, 99, -123456789, -123456789, 123456789, 123456789]], [[-199, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, -199, -99, -9, -9, 20]], [[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, -99, -9]], [[1111, 2222, -3333, 4444, -5555, 8888, -9999, 1110, -5551, 2220, -3330, 4440, -5550, 6660, -7770, 8880, -9990, 4444, -5550]], [[1000000001, 2000000002, 5000000005, 14, 3000000003, 2000000002, 1000000001]], [[1, 2, 3, 4, 0, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, -199, -99, -9, -9, 20, 8]], [[1000000, 999999, -888888, -123456, -987654, 11111, -22222, 3333, -4444, 555, 666, -77, 9, 88, 9, -4444, -4444, 667, 11111, 666, 555, 9, 999999, -888888]], [[-1, -10, 10, -11, -12, 555, 797, -45, -990, -1000, 100, 123, -123456790, 432, 10, 20, 30, 666, 777, -10000, 123456789, -990]], [[6660, -987654321, 987654323, 987654321, -123456789, -99, -123456789, 123456789, 987654321, 123456789]], [[100, -123456790, 987654322, 9999, 987654321, -123456789, -987654322, -123456789, 987654321]], [[1, 10, 3, 4, 5, 123, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 1, 18, 19, 20, -199, -99, -9, -9, -199]], [[1000000, 999999, -888888, -123456, -987654, 11111, -22222, 3333, -4444, 555, -123457, -77, 9, 88, 9, -4444, -4444, 667, 11111, 666, 555, 9, 999999, -888888]], [[1, 2, 3, 4, 5, 6, 7, 8, 3333, -99, -999, -999999990, 999, -9999, 9999, -99999, 99999, -1111111, -99]], [[-999999994, 5, 2000000001, -4000000004, 5000000005, -6000000006, -999999994, 5, -999999994]], [[1000000001, -999999994, -123456790, 5000000005, 2000000001, -4000000004, 5000000005, -6000000006, -999999995, -999999994, -999999993, 2000000000, 5000000005]], [[-999999994, 2000000001, 5000000005, -999999994, -6000000006, -999999994, -999999994, 5000000005]], [[1, 2, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 17, 20, -99, -9, 17]], [[1111, 2222, 4444, -5555, -7777, -7770, -5550, 8888, -9999, 1110, 2220, -3330, 4440, -5550, -22222, 6660, -7770, 8880, -9990, 2220, -9990]], [[1111, 2222, -3333, 4444, -5555, -7777, 8888, -9999, 1110, 2220, -3330, 4440, -5550, 6660, -22222, 5000000006, 8880, -7776, -9990, -7770, 4444, 2220, -22222, 4440]], [[-1, -10, 10, -11, -12, 554, 797, -45, -990, -1000, 100, 123, -123456790, 432, 10, 20, 30, 666, 777, -10000, 123456789, -991, 797]], [[1110, 2222, -3334, 4444, -5555, -7777, 8888, -9999, 1110, 2220, 4440, -5550, -7770, 8881, -5554, -9990]], [[1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 11, 13, 14, 15, 16, 17, 18, 8881, 19, 20, -199, -99, 20, -9, -99]], [[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, -199, -99, -9, -9, 20, -9]], [[1, 2, 1111, 3, 8, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, -9999, 16, 18, 19, 17, 20, -99, -9, 17, 8, 1, -9]], [[1, 2, 3, 88, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 17, 20, -199, 665, -9, 19]], [[987654322, 123456789, -123456789, 123456789, 12, -123456789, -123456789]], [[1111, 2222, -3333, 4444, -5555, -11, -7776, 8888, -9999, 1110, -7776, 2220, -3330, 4440, -5550, 6660, -7770, 8880, -9990, 8888, -7776, -9990]], [[1000000001, -999999994, -123456790, 5000000005, 2000000001, 9999, 5000000005, -999999994, -999999994, 5000000006, 2000000000, -6000000006, 5000000004, 2000000001]], [[-987654321, 987654320, 987654321, -123456789, 123456789]]]
results = [0, 0, 6, 5, 4, 5, 1, 1, 0, 1, 3, 1, 3, 5, 4, 0, 4, 3, 6, 2, 5, 3, 3, 1, 1, 1, 1, 4, 1, 3, 1, 0, 3, 5, 3, 1, 3, 5, 5, 6, 3, 4, 5, 2, 4, 5, 2, 2, 3, 3, 5, 4, 2, 6, 3, 2, 2, 3, 2, 3, 3, 6, 0, 5, 3, 4, 2, 4, 4, 3, 4, 5, 3, 3, 3, 4, 5, 0, 4, 4, 3, 5, 5, 5, 4, 1, 5, 7, 4, 6, 4, 0, 1, 3, 5, 6, 4, 5, 5, 6, 6, 5, 5, 1, 5, 6, 3, 0, 13, 21, 18, 17, 2, 0, 4, 4, 10, 14, 9, 1, 14, 2, 15, 15, 13, 18, 15, 22, 16, 19, 20, 13, 3, 12, 15, 14, 18, 16, 12, 13, 2, 16, 16, 16, 21, 17, 14, 11, 11, 16, 16, 19, 14, 15, 15, 19, 21, 20, 21, 13, 18, 19, 4, 15, 20, 18, 17, 17, 21, 4, 15, 20, 17, 5, 6, 15, 20, 13, 18, 14, 14, 15, 7, 15, 22, 19, 18, 23, 21, 2, 19, 16, 4, 21, 19, 19, 14, 19, 11, 18, 5, 15, 11, 13, 8, 12, 16, 18, 16, 16, 19, 11, 16, 22, 16, 13, 15, 3, 13, 19, 17, 18, 18, 22, 16, 18, 18, 15, 19, 20, 11, 6, 19, 18, 20, 24, 19, 2, 13, 16, 15, 19, 20, 17, 18, 12, 4, 10, 16, 14, 15, 5, 18, 16, 1, 11, 6, 16, 13, 17, 8, 16, 11, 2, 15, 19, 4, 4, 16, 14, 19, 18, 2, 15, 20, 13, 19, 14, 18, 16, 7, 3, 20, 5, 16, 14, 17, 5, 2, 18, 18, 18, 19, 21, 19, 20, 16, 17, 18, 18, 15, 20, 15, 17, 18, 18, 20, 12, 18, 17, 13, 18, 15, 18, 19, 11, 17, 2, 17, 14, 16, 19, 19, 8, 12, 13, 15, 19, 19, 19, 2, 22, 14, 14, 19, 15, 18, 14, 16, 19, 19, 18, 15, 19, 23, 14, 13, 17, 7, 4, 18, 15, 15, 17, 20, 18, 24, 20, 19, 14, 8, 18, 13, 18, 18, 18, 20, 9, 19, 18, 14, 21, 18, 18, 15, 7, 16, 17, 16, 17, 12, 18, 22, 6, 16, 4, 18, 23, 22, 12, 19, 11, 9, 15, 12, 19, 4, 12, 18, 14, 17, 14, 8, 18, 15, 9, 8, 19, 20, 17, 16, 18, 13, 16, 22, 21, 21, 20, 17, 20, 21, 17, 21, 18, 19, 14, 19, 1, 13, 19, 13, 22, 18, 20, 12, 3, 18, 4, 19, 21, 11, 19, 15, 14, 2, 16, 15, 22, 14, 12, 25, 16, 5, 16, 21, 20, 17, 18, 14, 19, 20, 6, 6, 17, 13, 20, 20, 17, 2, 12, 13, 21, 21, 2, 16, 21, 15, 10, 7, 23, 19, 19, 14, 21, 19, 24, 18, 16, 20, 20, 18, 15, 6, 17, 18, 19, 23, 21, 14, 4, 23, 4, 17, 23, 22, 23, 21, 18, 14, 6, 20, 21, 17, 23, 17, 21, 9, 14, 16, 21, 16, 20, 8, 20, 21, 15, 16, 14, 20, 11, 17, 15, 23, 15, 18, 16, 16, 22, 19, 18, 19, 21, 12, 20, 14, 19, 20, 19, 21, 21, 15, 7, 19, 7, 17, 21, 24, 16, 17, 1, 19, 14, 15, 18, 20, 23, 13, 13, 17, 16, 17, 15, 18, 23, 10, 14, 17, 11, 19, 1, 14, 8, 25, 16, 14, 15, 22, 22, 21, 21, 14, 17, 16, 7, 17, 6, 21, 15, 18, 3, 17, 15, 20, 19, 3, 10, 22, 19, 18, 6, 9, 18, 17, 14, 16, 16, 3, 16, 0, 1, 0, 2, 0, 1, 10, 0, 1, 5, 6, 3, 4, 22, 17, 1, 7, 15, 19, 16, 1, 16, 16, 8, 7, 4, 13, 16, 17, 21, 21, 4, 18, 18, 15, 19, 6, 5, 6, 20, 7, 20, 6, 4, 22, 18, 4, 20, 5, 23, 6, 16, 17, 21, 23, 15, 7, 22, 15, 16, 22, 19, 22, 8, 17, 23, 24, 18, 19, 17, 18, 19, 6, 19, 17, 21, 21, 4, 20, 22, 8, 16, 10, 14, 16, 6, 7, 23, 24, 6, 23, 16, 21, 6, 7, 2, 19, 3, 21, 19, 17, 8, 18, 8, 17, 13, 8, 13, 22, 8, 18, 8, 8, 8, 5, 22, 6, 19, 18, 22, 9, 3, 23, 19, 22, 23, 18, 16, 18, 7, 16, 18, 15, 5, 18, 25, 8, 19, 12, 15, 22, 15, 25, 16, 18, 5, 6, 20, 7, 24, 5, 22, 15, 8, 18, 19, 11, 10, 16, 19, 7, 26, 20, 7, 16, 0, 7, 22, 24, 23, 22, 6, 20, 23, 23, 24, 22, 5, 20, 1, 15, 21, 18, 9, 6, 26, 14, 5, 14, 19, 0, 8, 23, 6, 3, 19, 14, 25, 20, 20, 6, 9, 7, 21, 7, 5, 11, 24, 17, 21, 5, 25, 10, 5, 1, 16, 3, 8, 19, 24, 19, 7, 5, 15, 22, 7, 23, 22, 20, 8, 20, 6, 7, 24, 6, 21, 12, 21, 17, 22, 23, 20, 3, 17, 18, 12, 3, 21, 8, 24, 3, 5, 10, 25, 22, 14, 4, 6, 13, 19, 9, 5, 21, 19, 3, 18, 22, 20, 11, 12, 6, 17, 6, 21, 22, 17, 5, 9, 20, 3, 18, 21, 3, 18, 5, 3, 16, 21, 24, 12, 20, 18, 25, 18, 6, 9, 7, 11, 7, 20, 19, 16, 5, 10, 18, 16, 3, 24, 20, 19, 19, 17, 4, 25, 21, 6, 11, 19, 16, 2, 7, 18, 18, 20, 17, 18, 22, 20, 25, 6, 18, 6, 16, 10, 18, 21, 15, 15, 15, 23, 6, 16, 22, 15, 5, 5, 8, 21, 22, 15, 16, 15, 20, 25, 19, 5, 16, 20, 3, 18, 20, 8, 22, 20, 19, 7, 23, 23, 15, 9, 9, 23, 23, 17, 7, 11, 7, 20, 21, 24, 17, 16, 22, 22, 25, 24, 7, 21, 13, 5]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(count_nums)
print('___SENTINEL___')
| 54cea00f28f7ed2eef16ba700c1b6678 |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-4
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-04, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[[]], [[-1, 11, -11]], [[1, 1, 2]]]
results = [0, 1, 3]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(count_nums)
print('___SENTINEL___')
| f23f6d4eceb5b992151ea6bd574a19fe |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-6
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-07, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[[3, 4, 5, 1, 2]], [[3, 5, 10, 1, 2]], [[4, 3, 1, 2]], [[3, 5, 4, 1, 2]], [[]], [[1]], [[5, 6, 7, 8, 1, 2, 3, 4]], [[1, 2, 3, 4, 5, 6, 7, 8]], [[8, 7, 6, 5, 4, 3, 2, 1]], [[2, 1]], [[4, 3, 2, 1]], [[9, 7, 8, 6, 4, 5, 3, 1, 2]], [[3, 2, 1, 4, 5]], [[1, 2, 3, 4, 5]], [[5, 4, 3, 2, 1]], [[5, 6, 7, 8, 1, 2, 4]], [[5, 4, 3, 2]], [[8, 7, 6, 5, 4, 2, 1]], [[9, 2, 1]], [[1, 2, 3, 4]], [[5, 6, 8, 1, 2, 4]], [[6, 7, 8, 1, 2, 3, 4]], [[9, 2, 6]], [[5, 6, 8, 2, 4]], [[4, 3, 2]], [[86, 5, 9, 2, 4]], [[9, 5, 2, 6]], [[8, 7, 6, 5, 3, 1]], [[1, 2, 3]], [[86, 5, 2, 4]], [[8, 7, 6, 5, 3, 2]], [[7, 8, 6, 4, 5, 3, 1, 2]], [[4, 1]], [[8, 1]], [[3, 2, 1]], [[4, 3]], [[2, 1, 4, 5]], [[9, 7, 8, 5, 4, 3, 1, 2]], [[7, 6, 5, 4, 2, 1]], [[9, 4, 1]], [[86, 5, 2]], [[6, 2, 1, 4]], [[8]], [[3]], [[4]], [[1, 3]], [[7, 5, 4, 3]], [[2]], [[3, 5, 1]], [[3, 4]], [[3, 2, 4, 5]], [[1, 2]], [[2, 3, 1, 4, 5]], [[13]], [[86, 7, 6, 5, 4, 2, 1]], [[2, 3, 1, 5]], [[8, 7, 5, 3, 2]], [[5, 2]], [[2, 4, 5]], [[8, 2, 1, 4, 5]], [[9, 7, 6, 4, 5, 3, 1, 2]], [[5, 8, 2, 4]], [[9, 7, 8, 5, 4, 86, 3, 1, 2]], [[2, 8, 7, 6, 5, 3, 1]], [[2, 6, 9]], [[9, 2]], [[9, 7, 8, 5, 4, 6, 1, 2]], [[7, 6, 4, 5, 3, 1, 2]], [[3, 2, 6, 9]], [[1, 3, 2, 6]], [[5, 6, 7, 8, 1, 2, 3]], [[9, 7, 13, 5, 4, 6, 1, 2]], [[8, 7, 13, 6, 2]], [[8, 7, 6, 3, 2]], [[5, 6, 8, 7, 2, 3]], [[1, 7, 3]], [[3, 5]], [[6, 7, 8, 1, 3, 4]], [[6, 7, 8, 1, 2, 4]], [[9, 6, 7, 8, 1, 2, 3]], [[8, 7, 14, 6, 2]], [[3, 2]], [[86, 4, 1]], [[8, 7, 2, 6, 5, 3]], [[5, 6, 8, 7, 2, 4]], [[6, 8, 7, 13, 86]], [[5, 3, 2, 6, 7, 1, 8, 4]], [[1, 3, 5, 7, 9, 11, 2, 4, 6, 8, 10, 12]], [[1, 4, 7, 8, 5, 3, 2, 6]], [[1, 2, 3, 4, 5, 6, 7, 9, 8]], [[1, 3, 2, 5, 4, 7, 6, 9, 8]], [[-2, 0, 2, 1, 3, 8, 7, 6, 5, 4]], [[10, 9, 8, 7, 6, 5, 4, 3, 2, 1]], [[0, 1, 6, 2, 5, 8, 7, 4, 3]], [[5, 3, 2, 6, 7, 1, 4]], [[1, 3, 2, 4, 7, 6, 9, 8]], [[1, 3, 2, 4, 7, 6, 9, 11, 8]], [[1, 3, 2, 4, 7, 6, 9, 0, 8]], [[5, 3, 6, 7, 1, 8, 4]], [[1, -2, 7, 8, 5, 3, 2, 6]], [[1, 3, 5, 7, 9, 2, 4, 6, 8, 10, 12]], [[0, 1, 6, 2, 5, 8, 7, 3]], [[1, -2, 7, 8, 5, 3, 6]], [[5, 3, 6, 7, 0, 8, 4]], [[1, 3, 2, 4, 6, 9, 0, 8]], [[0, 1, 6, 5, 8, 7, 4, 3]], [[1, 3, 4, 5, 6, 7, 8]], [[1, 3, 5, 7, 9, 11, 2, 4, 6, 8, 10, 13]], [[3, 5, 7, 9, 11, 2, 4, 6, 8, 10, 12]], [[1, 3, 5, 7, 10, 11, 2, 4, 6, 8, 12]], [[5, 7, 9, 11, 2, 4, 6, 8, 10, 12]], [[4, 7, 8, 5, 3, 2, 6]], [[1, 4, 5, 6, 7, 8]], [[1, 3, 0, 7, 9, 11, 2, 4, 6, 8, 10, 13]], [[5, 2, 6, 1, 8, 4]], [[1, 3, 2, 4, 7, 6, 11, 8]], [[1, 4, 5, 6, 7]], [[1, 2, 4, 7, 6]], [[9, 5, 7, 10, 11, 2, 4, 6, 8, 12]], [[3, 2, 7, 4, 6, 9, 0, 8]], [[1, 3, 2, 4, 6, 9, -1, 0, 8]], [[11, 1, 0, 5, 6, 7, 8]], [[3, 5, 7, 9, 11, 2, 4, 6, 8, 10]], [[1, 3, 2, 4, 6, -1, 0, 8]], [[3, 2, 4, 6, -1, 0, 8, 1]], [[1, 3, 2, 4, 6, 9, 8]], [[2, 5, 4, 7, 6, 9, 8]], [[-2, 0, 2, 1, 3, 8, 6, 5, 4]], [[1, 4, 5, 3, 6, 7]], [[7, 1, 3, 2, 4, 6, -1, 0, 8]], [[5, 3, 2, 6, 8, 1, 4]], [[10, 0, 1, 6, 2, 5, -1, 8, 7, 3]], [[5, 3, 6, 7, 1, 4]], [[8, 7, 6, 5, 4, 3, 2]], [[1, -2, 7, 4, 3, 2, 6]], [[5, 3, 6, 7, 1, 8]], [[5, 3, 6, 0, 8]], [[1, -2, 11, 8, 5, 3, 2, 6]], [[3, 5, 7, 10, 13, 11, 2, 4, 6, 8, 12]], [[1, 3, 2, 4, 7, 9, 0, 8]], [[1, 3, 2, 4, 7, 6, 9]], [[5, 7, 9, 2, 4, 6, 8, 10, 12]], [[8, 7, 5, 4, 2, 1]], [[0, 1, 6, 5, 2, 8, 7, 4, 3]], [[1, 5, 2, 4, 7, 6, 9]], [[5, 3, 0, 8]], [[4, 8, 5, 3, 2, 6]], [[1, 2, 3, 4, 5, 6, 9, 8]], [[5, 3, 2, 6, 7, 8, 1, 4]], [[5, 7, 9, 11, 2, 6, 8, 10, 12]], [[0, 1, 6, 8, 7, 4, 3]], [[5, 2, 6, 1, 7, 4]], [[5, 3, 6, 2, 1, 8, 4]], [[10, 5, 3, 6, 7, 1, 4]], [[1, 3, 2, 4, 7, 6, 9, 12, 8]], [[1, 3, 5, 7, 11, 2, 4, 8, 12]], [[1, 3, 2, 7, 6, 9, 11, 8]], [[1, 3, 5, 11, 2, 4, 8, 12]], [[1, 11, 8, 5, 3, 2, 6]], [[5, 7, 9, 11, 2, 4, 6, 8, 10]], [[1, 3, 5, 7, 11, 2, 8, 6, 12]], [[1, 3, 5, 4, 7, 6, 9, 8]], [[1, 8, 5, 3, 2, 6]], [[10, 1, -2, 7, 3, 5, 2, 6]], [[5, 7, 9, 3, 2, 4, 6, 8, 10, 12]], [[1, 4, 7, 6]], [[5, 7, 11, 2, 6, 8, 10, 12]], [[1, -2, 6, 8, 5, 3, 2, 13]], [[0, 1, 6, 2, 5, 8, 7, 13, 3]], [[1, 4, 6]], [[1, -2, 8, 5, 3, 2]], [[4, 6]], [[4, 5, 3, 6, 8]], [[3, 5, 7, 10, 13, 11, 2, 4, 8, 12]], [[3, 5, 7, 9, 11, 2, 4, 6, 10, 13]], [[7, 6]], [[-2, 11, 8, 5, 3, 2, 6]], [[5, 12, 6, 7, 1, 8, 4]], [[3, 11, 6]], [[5, 3, 2, 6, 7, 0, 4]], [[1, 3, 5, 7, 11, 2, 10, 4, 8, 12]], [[5, 2, 10, 1, 4]], [[3, 2, 7, 4, 6, 9, 0]], [[3, 5, 4, 7, 6, 8]], [[5, 3, 6, 7, 4]], [[4, 5, 7, 3, 6, 8]], [[3, 2, 4, 6, 9, 0, 8]], [[10, 3, 6, 7, 1, 4]], [[5, 3, 6, 7, 0, 8]], [[3, 8, 7, 5, 4, 2]], [[10, 2, 3, 6, 7, 1, 12, 4]], [[4, 8, 5, 3, 2]], [[8, 1, 2, 4, 7, 6]], [[5, 3, 6, 1, 12, 7, 4]], [[-2, 3, 2, 4, 6, -1, 0, 8]], [[5, 2, 7, 1, 3]], [[11, 1, 0, 5, 6, 10, 7, 8]], [[1, 3, 2, 4, 6, -1, 0, -2]], [[5, 3, 6, 7, 0, 8, 4, 2]], [[1, 5, 11, 2, 4, 8, 12]], [[5, 3, 7, 1, 8, 6]], [[8, 7, 6, 11, 4, 3, 2, 1]], [[5, 3, 2, 6, 7, 0, 10]], [[5, 7, 9, 11, 2, 4, 8, 10, 12]], [[5, 2, 1, 3]], [[11, 8, 5, 3, 2, 6]], [[3, 11, 0, 6]], [[1, 5, 3, 0, 8]], [[1, 4, 5, 6, 8]], [[11, 1, 0, 6, 10, 7, 8]], [[1, 4, 5, 3, 6]], [[1, 3, 4, 5, 6, 8]], [[55, 22, 7, 10]], [[-1, 8, 6, 7, 1, 4, 3]], [[7, 6, 11, 4, 3, 2, 1]], [[5, 1, 3]], [[1, 3, 4, 5, 6, 2, 8]], [[1, 3, 11, 4, 8, 12]], [[11, 6]], [[8, 14, 7, 13, 6, 5, 2, 1]], [[3, 5, 7, 11, 2, 10, 4, 8, 12]], [[0, 1, 4, 6]], [[11, 13, 1, 0, 6, 10, 7, 8]], [[5, 2, 8, 6, 1, 22, 4]], [[9, 5, 7, 11, 2, 4, 6, 8, 12]], [[3, 5, 7, 9, 11, 2, 6, 10, 8]], [[1, 5, 4, 7, 6, 9]], [[11, 13, 1, 6, 10, 8]], [[1, 3, 5, 9, 7, 10, 11, 2, 4, 6, 8, 12]], [[3, 5, 7, 9, 11, 2, 4, 6, 8, 0, 12]], [[5, 3, 6, 4, 1, 8]], [[5, 3, 6, 1, 14, 7, 4]], [[5, 3]], [[-2, 7, 8, 5, 3, 2, 6]], [[11, 13, 6]], [[-2, 3, 1, 4, 6, -1, 0, 8]], [[1, -2, 11, 8, 5, 3, 2]], [[1, 0, 6, 10, 3, 8]], [[0, 1, 6, 5, 2, 7, 4, 3]], [[3, 5, 7, 9, 11, 2, 10, 14, 8]], [[-2, 3, 1, 4, 6, -1, 0]], [[5, 3, 6, 7]], [[6, 2, 1, 3]], [[1, 3, 5, 7, 9, 11, 55, 4, 6, 8, 10, 12]], [[10, 3, 7, 1, 4]], [[0, 13, 1, 6, 2, 5, 8, 7, 3]], [[1, 3, 2, 5, -2, 4, 7, 6, 9, 8]], [[5, 7, 9, 11, 2, 4, 6, 8, 12]], [[3, 4, 5, 6, 2, 8]], [[6]], [[3, 2, 4, 7, 6, 11, 8]], [[3, 5, 7, 9, 11, 2, 6, 8, 10, 12]], [[1, 2, 0, 7, 6, 4]], [[5, 6, 1, 8, 4]], [[2, 7, 1, 8, 6]], [[5, 2, 4, 7, 6, 9]], [[3, 5, 7, 9, 11, 2, 10, 14]], [[3, 22, 5, 7, 9, 11, 2, 4, 6, 8, 10, 12]], [[55, 22, 7]], [[3, 55, 0, 6]], [[3, 2, 4, 7, 9, 0, 8]], [[8, 1, 2, 3, 7, 6]], [[5, 3, 7, 8, 6]], [[5, 0, 6, 7, 13, 11, 4]], [[3, 2, 4, 7, 6, 8]], [[1, 2, 4, 6, 9, 8]], [[5, 7, 9, 2, 6, 8, 10, 12]], [[0, 1, 6, 2, 5, 9, 7, 13, 3]], [[3, 7, 1, 8]], [[9, 4, 5]], [[1, 4, 5, 6]], [[1, 3, 0, 7, 9, 11, 2, 4, 6, 10, 13]], [[1, 3, 2, 5, 7, 6, 9, 11, 8]], [[12, 5, 2, 6, 1]], [[22, 5, 7, 9, 11, 2, 4, 6, 8, 10, 12]], [[8, 5, 2, 7, 1, 3]], [[5, 7, 2, 6, 8, 10]], [[0, 1, 2, 5, 8, 7, 3]], [[0, 6, 8, 7, 4, 3]], [[1, 5, 4, 7, 6]], [[1, 3, 2, 4, 6, 14, -1, 0, 8]], [[1, 3, 5, 7, 11, 2, 10, 4, 8]], [[8, 5, 14, 7, 1, 3]], [[3, 4, 6, -1, 0, 8, 1]], [[8, 7, 6, 5, 3, 2, 1]], [[8, 6, 5, 3, 2, 1]], [[-2, 2, 1, 3, 8, 7, 6, 5, 4]], [[3, 6, 7, 0, 8]], [[1, 3, 2, 4, 9, 8]], [[1, 3, 4, 7, 6, 9, 12, 8]], [[3, 2, 4, 7, 6, 9]], [[1, 2, 4, 9, 8]], [[11, 13, 6, 10, 8]], [[1, 8, 4, 3, 2, 6, 5]], [[4, 3, 7, 1, 8, 6]], [[1, 2, 3, 5, 4, 7, 6, 9, 8]], [[0, 1, 6, 2, 5, 9, 7, 13, 12, 3]], [[9, 4, 22, 5]], [[5, 7, 9, 11, 2, 4, 6, 8, 13, 10]], [[55, 21, 7]], [[5, 3, 7, 8, 10]], [[8, 7, 6]], [[5, 3, 6, -1, 7, 0, 8, 4]], [[5, 2, 14, 6, 7, 0, 10]], [[-2, 0, 2, 1, 3, 7, 6, 5, 4]], [[1, 3, 5, 7, 11, 8, 6, 12]], [[8, 10, 7, 6, 5, 4, 3, 2]], [[1, 2, 6, 9, 8]], [[22, 5, 3, 6, 7]], [[8, 7, -1, 11, 4, 3, 2, 1]], [[3, 6, 7, 0, 5, 8, 4]], [[5, 2, 6, 1, 7]], [[13, 3, 5, 7, 9, 11, 2, 6, 8, 10, 12]], [[1, -2, 8, 5, 3, 2, -1]], [[3, 2, 4, -1, 0, 8, 1]], [[1, 3, 5, 7, 11, 2, 10, 4, 6]], [[-2, 4, 6, -1, 0]], [[5, 3, 8, 6]], [[8, 19, 6, 89, 7]], [[11, 1, 0, 6, 10, 7]], [[5, 7, 1, 9, 11, 2, 6, 8, 10, 12]], [[6, 3]], [[1, 4, 5, 6, 12, 8]], [[1, 0, 6, 3, 8]], [[7, 3, 2, 4, 6, 9, -1, 0, 8]], [[-2, 3, 7, 8, 6]], [[3, 6, -1, 0, 8, 1]], [[5, 3, 2, 7, 1, 8, 4]], [[1, 10, 4, 5, 6, 7, 8]], [[4, 8, 5, 55, 3, 6]], [[-2, 3, 10, 4, 6, -1, 0, 8]], [[1, -2, 11, 5, 3, 2]], [[3, 2, 4, 6, 9, 8]], [[10, 3, 6, 8, 1, 4]], [[1, 3, 2, 4, 21, 7, 6, 11, 8]], [[-2, 0, 2, 3, 8, 5, 4]], [[1, 3, 11, 4, 8, -1]], [[3, 2, 4, 9, 0, 8]], [[1, 5, 3, 2, 6]], [[10, 0, 1, 6, 2, 5, 8, 7, 3]], [[8, 1, 2, 3, 7]], [[5, 3, 2, 11, 1, 8, 4]], [[3, 6, 0, 5, 8, 4]], [[1, 5, 3, 0, 9]], [[1, 13, 7, 4, 3, 2, 6]], [[5, 3, 6, 1, 7, 4]], [[5, 3, 6, 7, 1, 8, 10, 4, 9]], [[7, 1, 3, 2, 4, 6, -1, 8]], [[0, 8, 1, 6, 2, 5, 9, 7, 13, 3]], [[1, 4, 7]], [[2, 3, 4, 5, 6, 9, 8]], [[14, 0, 6, 8]], [[3, 10, 4, 6, -1, 0, 8]], [[1, 4, 6, 7]], [[5, 3, 6, 2, 10, 4]], [[5, 2, 3]], [[5, 3, 6, 7, 0, 9, 4, 2]], [[3, 7, 9, 11, 2, 10, 14, 8]], [[5, 3, 7]], [[1, 3, 2, 14, 7, 6, 9, 8]], [[1, 2, 5, 4, 7, 19, 9, 8]], [[1, 3, 2, 14, 6, 9, 8]], [[5, 3, 6, 7, -2]], [[5, 0, 9, 11, 2, 6, 8, 10, 12]], [[1, 8, 5, 3, 2, -1]], [[11, 13]], [[5, 3, 9, 6]], [[5, 2, 4, 10, 6, 9]], [[1, 4, 11, 6]], [[-2, 2, 1, 8, 7, 6, 5, 4]], [[3, 5, 7, 10, 13, 11, 2, 4, 9, 12]], [[3, 4, 8, 12]], [[21]], [[-2, 11, 8, 5, 21, 3, 2, 6]], [[55, 22, 10]], [[1, 7, 8, 5, 3, 2, 6]], [[3, 5, 4, 6, 8]], [[1, 13, 7, -2, 3, 2, 6]], [[3, 4, 8]], [[55, 7, 10]], [[3, 2, 7, 6, 9, 0]], [[3, 2, 4, 7, 5, 6, 11, 8]], [[11, 0, 13, 1, 6, 10, 8]], [[-2, 11, 8, 5, 21, 3, 2]], [[0, 1, 6, 14, 7, 4, 3]], [[55, 21, 8, 7]], [[2, 12, 6]], [[5, 3, 7, 13, 8, 10]], [[5, 2, 4, 10, 8, 9]], [[10, 3, 1, 4]], [[3, 2, 4, 6, 0, 8]], [[3, 2, 4, 7, 6, 1, 11, 8]], [[1, 3, 2, 4, 21, 7, 6, 8]], [[1, 5, 0, 6, 7]], [[12, 3, 11, 6]], [[3, 5, 7, 9, 11, 1, 6, 10, 8]], [[3, 4, 6, -1, 19, 8, 1]], [[10, 1, 6, 2, 5, 8, 7, 3]], [[11, 89, 8, 5, 3, 2, 6]], [[5, 7, 9, 11, 6, 8, 10, 12]], [[3, 6, 0, 7, 5, 8, 4]], [[5, 7, 9, 11, 2, 4, 6, 8, 0, 12]], [[4, 5, 14, 6, 8]], [[2, 6, 1, 8, 4]], [[0, 1, 6, 5, 9, 7, 13, 3]], [[5, 13, 3, 8, 6]], [[3, 5, 7, 8, 10, 13, 11, 2, 4, 9, 12]], [[1, 3, 4, 5, 6, 9]], [[1, 3, 9, 7, 10, 11, 2, 4, 6, 8, 12]], [[5, 1, 9, 11, 2, 6, 8, 10, 12]], [[1, 3, 2, 4, 14, -1, 0, 8]], [[1, 55, 5, 2, 0, 9]], [[1, 4, 7, 9]], [[5, 3, 55, 7, 0, 8, 4, 2]], [[12, 0, 1, 5, 8, 7, 10]], [[4, 3, 6, 7, 1, 8]], [[89, 5, 3, 6, 7, 1, 8]], [[5, 2, 8, 6]], [[7, 2, 4, 6, -1, 0, 8]], [[3, 2, 4, 7, 89, 8]], [[3, 14]], [[1, 3, 2, 7, 6, 9]], [[1, 3, 2, -2, 14, 7, 6, 9, 8]], [[4, 8, 5, 55, 2, 6]], [[4, 5, 55, 6, 8]], [[55, 22, 4, 10]], [[0, 1, 6, 2, 5, 9, 7, -1, 13, 3]], [[7, 1, 3, -2, 4, 6, -1, 8]], [[5, 3, 6, 1, 0, 14, 7, 4]], [[4, 89, 5, 3, 6, 7, 1, 8]], [[3, 4, 9, 0, 8]], [[3, 2, 4, 6, 11, 8]], [[5, 6, 1, 8, 3]], [[0, 2, 5, 8, 7, 13, 3]], [[1, 3, 11, 4, 8, 89]], [[22, 4, 5, 55, 6, 8]], [[1, 4, 5, 6, 12, 13, 8]], [[8, 3, 4, 5, 6, 9]], [[3, 5, 7, 10, -2, 11, 2, 4, 8, 12]], [[8, 3, 2, 6]], [[5, 7]], [[8, 14, 7, 13, 6, 5, 2]], [[1, 3, 5, 9, 7, 10, 11, 2, 13, 4, 6, 8, 12]], [[7, 4]], [[55, 21, 2, 8, 7]], [[1, 3, 7, 11, 2, 10, 4, 8]], [[4, 6, 5]], [[0, 13, 1, 4, 6, 2, 5, 8, 7, 3]], [[5, 1, 0, 6, 10, 3, 8]], [[1, 4, 14, 5, 6]], [[9, 5, 7, 10, 11, 2, 19, 6, 8, 12]], [[1, 3, 11, 4, 19, 8, 12]], [[5, 2, 6, 1, 0, 3]], [[1, 3, 2, 4, 6, 9]], [[2, 10, 1, 4]], [[1, 5, 2, 0, 9]], [[1, 12, 8, 5, 3, 2, 6]], [[5, 3, 7, 13, 10]], [[5, 2, 4, 10, 9]], [[1, 6, 3, 2, 4, 14, -1, 0, 8]], [[1, 4, 7, 8, 5, 3, 2]], [[0, 1, 6, 14, 2, 10, 8, 7, 3]], [[5, 3, 2, 7, 8, 4, 1]], [[1, 3, 2, 4, 7, 9, 11, 8]], [[55, 2, 8, 7]], [[0, 6, 4, 1, 8]], [[-2, 11, 5, 3, 2, 6]], [[55, 2, 89, 7]], [[1, 3, 11, 4, 8, 0, 89]], [[8, 5, 13, 2, 7, 1, 3]], [[5, 55, 7, 0, 8, 4, 2]], [[7, 1, 3, -2, 4, 6, 8]], [[1, 3, 5, 7, 11, 4, 8, 12]], [[10, 14, 8, 7, 6, 5, 4, 3, 2, 1]], [[12, 3, 11, 13, 8]], [[5, 3, 2, 7, 14, 1, 8, 4]], [[7, 5]], [[1, 4, 5, 9, 3, 6]], [[12, 6, 7, 1, 8, 4]], [[1, 3, 4, 8, 89]], [[11, 1, 0, 6, 7, 8]], [[1, 2, 3, 5, 6, 7, 8]], [[3, 4, 6, -1, -2, 0]], [[-2, 3, 1, 4, 13, -1, 0]], [[5, -1, 3]], [[0, 1, 6, 2, 5, 8, 7, 4]], [[0, 1, 6, 2, 5, 9, 7, 11, -2, 3]], [[8, 2, 3, 7, 6]], [[5, 0, 2, 10, 1, 4]], [[5, 3, 55, 2, 6, 7, 4]], [[5, 3, 6, 7, 0, 89, 8, 4]], [[-2, 2, 1, 3, 89, 7, 6, 5, 19, 4]], [[1, 3, 2, 19, 4, 7, 6, 11, 8]], [[4, 5, 6, 1, 2, 3]], [[2, 3, 1]], [[1, 3, 2]], [[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50]], [[50, 49, 48, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1]], [[1, 2, 3, 4, 5, -2, 7, 9, 8]], [[1, 2, 4, -2, 7, 9, 8]], [[7, 6, 5, 4, 3, 2, 1]], [[1, 2, 3, 4, 5, 6, 11, 8]], [[-2, 0, 2, 1, 3, 8, 7, 6, 4]], [[2, 3, 4, -2, 7, 9, 8]], [[1, 2, 3, 4, 5, -2, 6, 11, 8]], [[1, 4, 7, 8, 9, 5, 3, 2, 6]], [[1, 4, -2, 7, 9, 8]], [[1, 3, 5, 7, 6, 9, 8]], [[5, 3, 2, 9, 7, 1, 8, 4]], [[1, 3, 5, 7, 6, 9]], [[1, 2, 4, 9, 7, 0, 8]], [[9, 1, 6, 2, 5, 8, 7, 4, 3]], [[1, 2, 3, 4, 5, -2, 9, 8]], [[1, 7, 2, 3, 4, 5, 6, 8]], [[1, 2, 4, 7, 9, 8]], [[3, 5, 7, 6, 8, 11, 12, 9]], [[3, 5, 7, 6, 8, 11, 12, 4]], [[1, 2, 3, 4, 5, 6, 8]], [[1, 2, 4, 0, -2, 7, 9, 8]], [[8, 7, 5, 4, 3, 2, 1]], [[5, 3, 2, 9, 7, 10, 1, 8, 4]], [[9, 1, 6, 2, 8, 7, 4, 3]], [[10, 9, 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results = [True, True, False, False, True, True, True, True, False, True, False, False, False, True, False, True, False, False, False, True, True, True, True, True, False, False, False, False, True, False, False, False, True, True, False, True, False, False, False, False, False, False, True, True, True, True, False, True, True, True, False, True, False, True, False, False, False, True, True, False, False, True, False, False, True, True, False, False, False, False, True, False, False, False, False, False, True, True, True, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False, False, False, False, False, True, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False, True, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False, False, True, False, False, False, True, False, False, True, False, False, True, False, False, False, False, False, False, False, False, False, False, True, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, True, False, True, False, True, False, True, False, False, False, False, False, False, False, False, False, True, False, False, False, False, False, True, True, False, False, False, False, False, True, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False, False, False, False, True, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False, False, True, False, True, False, False, True, False, False, False, False, False, False, False, False, True, True, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, True, False, False, True, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False, False, True, False, True, False, False, False, False, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, True, True, True, False, False, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, False, True, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, True, False, False, False, False, False, True, True, False, False, False, False, False, False, False, False, False, False, False, True, False, False, True, False, False, False, True, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, True, False, False, False]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(move_one_ball)
print('___SENTINEL___')
| 1cbfcaed44e6961e02baa88d52f65db5 |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-4
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-04, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[[3, 4, 5, 1, 2]], [[3, 5, 4, 1, 2]]]
results = [True, False]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(move_one_ball)
print('___SENTINEL___')
| 0c65566030b2d1004332b49cce4fd1e1 |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-6
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-07, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[[1, 2, 3, 4], [1, 2, 3, 4]], [[1, 2, 3, 4], [1, 5, 3, 4]], [[1, 2, 3, 4], [2, 1, 4, 3]], [[5, 7, 3], [2, 6, 4]], [[5, 7, 3], [2, 6, 3]], [[3, 2, 6, 1, 8, 9], [3, 5, 5, 1, 1, 1]], [[100, 200], [200, 200]], [[2, 4, 6], [1, 3, 5]], [[1, 3, 5], [2, 4, 6]], [[2, 2, 2], [1, 3, 5]], [[1, 3, 5], [2, 2, 2]], [[1, 3, 5, 7], [2, 4, 6]], [[2, 4, 6], [1, 3, 5, 7]], [[1, 3, 5, 7], [2, 4, 6, 8]], [[2, 4, 6, 8], [1, 3, 5, 7]], [[1, 3, 5, 7], [5, 7, 9, 11]], [[5, 7, 9, 11], [1, 3, 5, 7]], [[1, 5, 7], [5, 7, 9, 11]], [[2, 4, 6, 8, 8], [1, 3, 5, 7]], [[5, 7, 11], [1, 3, 5, 7]], [[1, 3, 5, 7, 7], [2, 4, 6, 8]], [[1, 3, 5, 7], [1, 3, 5, 7]], [[1, 3, 5, 7, 7], [2, 4, 6, 8, 6]], [[1, 3, 5, 7], [5, 7, 4, 11]], [[1, 3, 2, 7, 4, 7], [2, 4, 6, 8]], [[2, 4, 6, 8], [1, 3, 11, 7]], [[1, 3, 5, 7, 5], [1, 3, 5, 7, 5]], [[1, 3, 5], [1, 3, 5]], [[2, 4, 6, 6, 8, 6, 8], [1, 4, 3, 5, 7, 7]], [[1, 3, 2, 5, 7, 3], [1, 3, 2, 5, 7, 3]], [[5, 4, 3, 5, 7], [5, 4, 3, 5, 7]], [[1, 3, 5, 7, 3], [1, 3, 5, 7, 3]], [[1, 3, 2, 2, 7, 4, 7], [2, 4, 6, 8]], [[1, 3, 2, 5, 7, 3, 3], [1, 3, 2, 5, 7, 3, 3]], [[1, 3, 2, 5, 7, 7], [1, 3, 2, 5, 7, 7]], [[1, 3, 2, 5], [1, 3, 2, 5]], [[2, 4, 11, 6, 6], [1, 3, 5]], [[1, 2, 5, 7, 3, 3], [1, 2, 5, 7, 3, 3]], [[3, 5, 7], [3, 5, 7]], [[4, 1, 3, 5, 7, 3, 3], [4, 1, 3, 5, 7, 3, 3]], [[6], [1, 7, 7]], [[-1, 3, 5], [-1, 3, 5]], [[1, 3, 5, 7, 1, 5], [1, 3, 5, 7, 1, 5]], [[1, 2, 5, 7, 3], [1, 2, 5, 7, 3]], [[1, 3, 5, 7, 7], [1, 3, 5, 7, 7]], [[1, 3, 2, 7], [2, 4, 6]], [[2, 5, 4, 6], [2, 5, 4, 6]], [[1, 3, 5, 7, 1], [5, 7, 4, 11]], [[2, 4, 6, 3, 8], [1, 3, 5, 7]], [[1, 3, 5, 5, 1], [1, 3, 5, 5, 1]], [[2, 3, 6, 8, 2], [1, 3, 2, 7, 4, 7]], [[5, 7, 11], [1, 4, 3, 5, 7, 1]], [[1, 4, 5, 7], [1, 4, 5, 7]], [[5, 1, 3, 9, 5, 7], [5, 1, 3, 9, 5, 7]], [[4, 3, 5, 7, 7], [4, 3, 5, 7, 7]], [[3, 4, 7, 3], [3, 4, 7, 3]], [[1, 6, 3, 2, 5, 3, 5], [1, 6, 3, 2, 5, 3, 5]], [[5, 7, 4, 11], [1, 4, 3, 5, 7]], [[1, 8, 2, 5, 3, 3, 3], [1, 8, 2, 5, 3, 3, 3]], [[4, 1, 3, 5, 7, 3, 1, 3], [4, 1, 3, 5, 7, 3, 1, 3]], [[1, 3, 7, 3], [1, 3, 7, 3]], [[1, 3, 11], [2, 2]], [[2, 6, 8, 8], [2, 6, 8, 8]], [[1, 6, 3, 2, 5, 3, 5, 2], [1, 6, 3, 2, 5, 3, 5, 2]], [[1, 3, 2, 7], [2, 6, 6]], [[2, 4, 11, 6, 3, 11, 6], [2, 4, 11, 6, 3, 11, 6]], [[1, 3, 5, 7, 4, 7], [1, 3, 5, 7, 4, 7]], [[2, 2], [1, 3, 5]], [[1, 3, 3], [1, 3, 3]], [[2, 4, 6], [2, 4, 6]], [[5, 2, 3, 9, 5, 7, 2], [5, 2, 3, 9, 5, 7, 2]], [[7, 2, 4, 6, 8, 8], [1, 3, 5, 7]], [[6, 2, 2], [6, 2, 2]], [[1, 3, 2, 7, 8, 4, 7], [1, 3, 2, 7, 8, 4, 7]], [[2, 2], [3, 5]], [[5, 4, 4, 5, 7], [5, 4, 4, 5, 7]], [[1, 4, 5, 1, 7, 5], [1, 4, 5, 1, 7, 5]], [[1, 3, 5, 7, 0, 5], [1, 3, 5, 7, 0, 5]], [[-1, 1, 3], [-1, 1, 3]], [[5, 0, 2, 3, 9, 5, 7, 2], [5, 0, 2, 3, 9, 5, 7, 2]], [[1, 3, 5, 7, 1], [1, 3, 5, 7, 1]], [[1, 3, 2, 5, 7, 3, 5], [1, 3, 2, 5, 7, 3, 5]], [[1, 3, 2, 8, 5, 7, 3], [1, 3, 2, 8, 5, 7, 3]], [[2, 4, 6, 6], [2, 4, 6, 6]], [[1, 4, 11, 6, 3, 11, 6], [1, 4, 11, 6, 3, 11, 6]], [[2, 4, 6], [1, 3, 1, 4, 7]], [[1, 3, 1, 2, 2, 7, 4, 7], [1, 3, 1, 2, 2, 7, 4, 7]], [[1, 3, 2, 1, 2, 2, 7, 4, 7], [1, 3, 2, 1, 2, 2, 7, 4, 7]], [[1, 3, 11, 0, 7], [1, 3, 11, 0, 7]], [[1, 7, 7], [1, 7, 7]], [[2, -1, 11, 8], [2, -1, 11, 8]], [[4, 1, 3, 7, 3, 8, 3, 3], [4, 1, 3, 7, 3, 8, 3, 3]], [[5, 1, 3, 0, 9, 5, 7], [5, 1, 3, 0, 9, 5, 7]], [[1, 4, 5], [1, 4, 5]], [[4, 2, 3, 6, 7, 3, 1, 3], [4, 2, 3, 6, 7, 3, 1, 3]], [[1, 3, 2, 5, 5], [1, 3, 2, 5, 5]], [[4, 2, 3, 6, 7, 3, 1, 3, 4], [4, 2, 3, 6, 7, 3, 1, 3, 4]], [[3, 5, 7, 0, 5], [3, 5, 7, 0, 5]], [[5, 2, 4, 6, 4], [5, 2, 4, 6, 4]], [[0, 1, 4, 5], [0, 1, 4, 5]], [[1, 3, 5, 5, 5], [1, 3, 5, 5, 5]], [[3, 5, 4, 7], [3, 5, 4, 7]], [[2, 2, 2], [1, -1, 5]], [[4, 11, 6, 3, 11, 6], [4, 11, 6, 3, 11, 6]], [[2, 4, 8], [1, 3, 11, 7]], [[1, 3, 5, 7], [2, 4, 6, 8, 8]], [[1, 5, 7, 1, 7], [1, 5, 7, 1, 7]], [[1, 1, 1, 1], [2, 2, 2, 2]], [[7, 3, 5, 2], [4, 6, 8, 1]], [[1, 9, 11, 13], [2, 4, 6, 8]], [[1, 1, 1, 1, 1, 1, 1], [2, 2, 2, 2, 2, 2, 2]], [[2, 2, 2, 2, 2, 2, 2], [1, 1, 1, 1, 1, 1, 1]], [[1, 3, 5, 7, 1, 3, 5, 7], [2, 4, 6, 8, 2, 4, 6, 8]], [[1, 2, 3, 4], [5, 6, 7, 8]], [[1, 1, 1, 1], [2, 2, 2, 2, 2, 2]], [[1, 1, 1, 2], [2, 2, 2, 2, 2, 2]], [[1, 1, 1, 2], [2, 2, 2, 2, 2, 2, 2]], [[1, 1, 1, 1], [2, 2, 2, 2, 9, 2, 2]], [[1, 1, 1, 3], [2, 2, 2, 2, 2, 2, 2]], [[3, 2, 2, 6, 2], [3, 2, 2, 6, 2]], [[2, 2, 6, 2], [2, 2, 6, 2]], [[1, 1, 0, 1, 1], [1, 1, 0, 1, 1]], [[1, 1, 1, 2, 6, 1, 1], [1, 1, 1, 2, 6, 1, 1]], [[1, 1, 0, 1, 0], [1, 1, 0, 1, 0]], [[1, 5, 1, 0, 1, 1], [1, 5, 1, 0, 1, 1]], [[1, 0, 1, 0, 1, 0, 0], [1, 0, 1, 0, 1, 0, 0]], [[4, 2, 2, 2, 2, 2, 2, 2], [4, 2, 2, 2, 2, 2, 2, 2]], [[2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2]], [[1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1]], [[2, 2, 0, 6, 2], [2, 2, 0, 6, 2]], [[4, 2, 2, 2, 2, 2, 2, 2, 2], [4, 2, 2, 2, 2, 2, 2, 2, 2]], [[1, 1, 0, 1], [1, 1, 0, 1]], [[2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2]], [[5, 6, 2, 8, 2], [5, 6, 2, 8, 2]], [[1, 1, 1, 0, 1], [1, 1, 1, 0, 1]], [[1, 1, 1, 6, 1, 1], [1, 1, 1, 6, 1, 1]], [[4, 7, 7, 8, 1], [7, 3, 5, 2]], [[1, 1, 1, 11, 1], [2, 2, 2, 2, 9, 2, 2]], [[1, 9, 13], [2, 4, 6, 8]], [[5, 6, 6, 2, 8, 2], [5, 6, 6, 2, 8, 2]], [[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2]], [[1, 1, 1, 9, 6, 1, 1, 1], [1, 1, 1, 9, 6, 1, 1, 1]], [[1, 3, 5, 7, 1, 3, 5, 7, 7, 3], [1, 3, 5, 7, 1, 3, 5, 7, 7, 3]], [[1, 1, 1, 1, 1, 1], [2, 2, 2, 2, 2, 2]], [[1, 2, 1, 1, 1], [2, 2, 2, 2]], [[3, 2, 2, 2], [3, 2, 2, 2]], [[1, 1, 1, 1, 9, 6, 1, 1, 1], [1, 1, 1, 1, 9, 6, 1, 1, 1]], [[2, 3, 6, 8], [1, 9, 11, 13]], [[1, 1, 0, 0, 1, 0], [1, 1, 0, 0, 1, 0]], [[3, 4, 2, 2, 4], [3, 4, 2, 2, 4]], [[2, 4, 6, 8, 2, 4, 6, 8], [1, 3, 5, 7, 1, 3, 5, 7]], [[3, 4, 2, 2, 4, 2, 4], [3, 4, 2, 2, 4, 2, 4]], [[1, 1, 0, 1, 1, 1], [1, 1, 0, 1, 1, 1]], [[2, 4, 6, 8, 1, 4, 6, 8], [1, 3, 5, 7, 1, 3, 5, 7]], [[6, 1, 1, 0, 1], [6, 1, 1, 0, 1]], [[1, 1, 0], [1, 1, 0]], [[9, 6, 1, 1, 0, 1], [9, 6, 1, 1, 0, 1]], [[1, 1, 1, 1], [1, 1, 1, 1]], [[1, 1, 1, 9, 6, 1, 1], [1, 1, 1, 9, 6, 1, 1]], [[3, 4, 2, 2, 4, 3, 2, 4], [3, 4, 2, 2, 4, 3, 2, 4]], [[9, 6, 1, 1, 0, 1, 2], [9, 6, 1, 1, 0, 1, 2]], [[5, 2, 8, 2], [5, 2, 8, 2]], [[4, 7, 7, 8, 5, 1, 7], [4, 7, 7, 8, 5, 1, 7]], [[1, 1, 1, 2], [2, 2, 5, 2, 2, 2, 2]], [[1, 1, 0, 0, 1, 1, 0], [1, 1, 0, 0, 1, 1, 0]], [[5, 6, 6, 2, 8, 2, 2], [5, 6, 6, 2, 8, 2, 2]], [[2, 2, 2, 2, 2], [2, 2, 2, 2, 2]], [[7, 3, 5, 2, 2], [7, 3, 5, 2, 2]], [[1, 1, 1, 1, 1], [2, 2, 2, 2]], [[2, 2, 2, 2, 2, 2, 2], [6, 1, 1, 1, 1, 1, 1, 1]], [[1, 1, 1, 1, 1], [1, 1, 1, 1, 1]], [[2, 4, 6, 8, 8], [2, 4, 6, 8, 8]], [[9, 6, 1, 1, 1, 2], [9, 6, 1, 1, 1, 2]], [[13, 1, 0, 1, 0], [13, 1, 0, 1, 0]], [[6, 1, 3, 5, 7, 1, 9, 7, 5, 7], [2, 4, 6, 2, 4, 6, 8]], [[1, 1, 1, 1], [2, 2, 2, 2, 1, 9, 2, 2]], [[1, 1, 1, 1, 9, 6, 1, 1], [1, 1, 1, 1, 9, 6, 1, 1]], [[1, 0, 1, 1, 1], [2, 2, 2]], [[1, 1, 11, 0, 0, 1, 0], [1, 1, 11, 0, 0, 1, 0]], [[1, 2, 3, 4, 3], [5, 6, 7, 8]], [[3, 3, 2, 2, 2, 2, 2], [3, 3, 2, 2, 2, 2, 2]], [[1, 5, 1, 0, 1, 1, 0], [1, 5, 1, 0, 1, 1, 0]], [[2, 2, 2, 2, 1, 2], [2, 2, 2, 2, 1, 2]], [[3, 2, 2, 2, 2], [3, 2, 2, 2, 2]], [[13, 2, 2, 2, 2], [13, 2, 2, 2, 2]], [[2, 2, 2], [2, 2, 2]], [[4, 7, 7, 8, 13, 5, 1, 7, 7], [4, 7, 7, 8, 13, 5, 1, 7, 7]], [[2, 4, 6, 9, 3, 1], [2, 4, 6, 9, 3, 1]], [[2, 2, 2, 2], [2, 2, 2, 2]], [[1, 2, 1, 1, 1, 1, 1], [1, 2, 1, 1, 1, 1, 1]], [[2, 2, 2, 1, 2], [2, 2, 2, 1, 2]], [[1, 1, 6], [1, 1, 6]], [[9, 6, 1, 1, 0, 1, 5], [9, 6, 1, 1, 0, 1, 5]], [[1, 0, 1, 0, 0], [1, 0, 1, 0, 0]], [[2, 4, 6, 8, 8, 2], [2, 4, 6, 8, 8, 2]], [[3, 2, 2, 2, 2, 3], [3, 2, 2, 2, 2, 3]], [[2, 1, 1, 1, 1, 1], [2, 1, 1, 1, 1, 1]], [[2, 2, 0, 2, 2, 2, 1], [2, 2, 0, 2, 2, 2, 1]], [[1, 2, 1, 1, 1, 1, 1, 1, 1], [1, 2, 1, 1, 1, 1, 1, 1, 1]], [[4, 7, 7, 8, 13, 5, 1, 7, 7, 7], [4, 7, 7, 8, 13, 5, 1, 7, 7, 7]], [[13, 2, 2, 5, 2, 2], [13, 2, 2, 5, 2, 2]], [[6, 1, 0, 1], [6, 1, 0, 1]], [[5, 5, 2, 8, 2], [5, 5, 2, 8, 2]], [[1, 1, 0, 1, 0, 1], [1, 1, 0, 1, 0, 1]], [[6, 1, 1, 0, 0], [6, 1, 1, 0, 0]], [[5, 5, 7, 2, 8, 2, 5], [5, 5, 7, 2, 8, 2, 5]], [[2, 5, 2, 2, 2, 2], [2, 5, 2, 2, 2, 2]], [[9, 6, 1, 1, 0], [9, 6, 1, 1, 0]], [[4, 7, 8, 5, 1, 7], [4, 7, 8, 5, 1, 7]], [[9, 6, 1, 1, 0, 2], [9, 6, 1, 1, 0, 2]], [[3, 4, 2, 3, 2, 4, 2, 4, 4], [3, 4, 2, 3, 2, 4, 2, 4, 4]], [[4, 6, 4, 4], [4, 6, 4, 4]], [[4, 7, 7, 8, 1], [4, 7, 7, 8, 1]], [[3, 4, 2, 3, 2, 4, 2, 4, 4, 4], [3, 4, 2, 3, 2, 4, 2, 4, 4, 4]], [[3, 0, 2, 6, 2], [3, 0, 2, 6, 2]], [[2, 2, 2, 2, 2, 2, 2, 2], [1, 1, 1, 1, 1, 1, 1, 1]], [[4, 6, 8, 8, 2], [4, 6, 8, 8, 2]], [[2, 4, 6, 8, 8, 2, 8], [2, 4, 6, 8, 8, 2, 8]], [[13, 5, 2, 2, 5, 1, 2], [13, 5, 2, 2, 5, 1, 2]], [[2, 4, 8, 8], [2, 4, 8, 8]], [[1, 1, 1, 1, 1, 1, 1], [2, 2, 2, 2, 2, 2, 2, 2]], [[1, 1, 1, 1], [2, 2, 2, 2, 2, 2, 2]], [[1, 1, 0, 3, 1, 0], [1, 1, 0, 3, 1, 0]], [[4, 7, 7, 8, 13, 5, 1, 7, 7, 13], [4, 7, 7, 8, 13, 5, 1, 7, 7, 13]], [[4, 7, 7, 7, 8, 13, 5, 1, 7, 7, 7], [4, 7, 7, 7, 8, 13, 5, 1, 7, 7, 7]], [[1, 1, 2], [1, 1, 2]], [[9, 6, 1, 0, 1], [9, 6, 1, 0, 1]], [[1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 2, 2, 2, 2, 2]], [[1, 9], [2, 4, 6, 8]], [[1, 4, 7, 7, 8, 13, 5, 1, 7, 7, 7], [1, 4, 7, 7, 8, 13, 5, 1, 7, 7, 7]], [[2, 4, 6, 2, 4, 6, 8], [1, 3, 5, 7, 1, 3, 5, 7]], [[2, 2, 2, 0, 6, 2, 2], [2, 2, 2, 0, 6, 2, 2]], [[5, 5, 2, 7, 2], [5, 5, 2, 7, 2]], [[2, 1, 1], [2, 1, 1]], [[1, 5, 1, 0, 1, 1, 1], [1, 5, 1, 0, 1, 1, 1]], [[1, 4, 7, 7, 8, 13, 1, 7, 7, 7], [1, 4, 7, 7, 8, 13, 1, 7, 7, 7]], [[1, 1, 5, 2], [1, 1, 5, 2]], [[1, 3, 7, 1, 3, 5, 7], [2, 4, 6, 8, 2, 4, 6, 8]], [[1, 5, 7, 1, 3, 5, 7], [2, 4, 6, 8, 2, 4, 6, 8]], [[6, 1, 3, 5, 7], [2, 4, 6, 8, 8]], [[2, 2, 2, 2, 2, 2, 2], [1, 1, 1, 2]], [[1, 9], [4, 6, 8]], [[7, 2, 2, 2, 2], [7, 2, 2, 2, 2]], [[2, 4, 6, 5, 3, 1], [2, 4, 6, 5, 3, 1]], [[2, 4, 6, 2, 4, 6, 8], [1, 3, 7, 5, 7, 1, 3, 5, 6]], [[1, 1, 7, 0, 1], [1, 1, 7, 0, 1]], [[6, 1, 4, 5, 7, 1, 9, 7, 5, 7], [6, 1, 4, 5, 7, 1, 9, 7, 5, 7]], [[5, 6, 8, 8], [5, 6, 8, 8]], [[1, 0, 7, 0, 1], [1, 0, 7, 0, 1]], [[3, 0, 2, 7, 2], [3, 0, 2, 7, 2]], [[0, 7, 8, 5, 1, 7, 4], [0, 7, 8, 5, 1, 7, 4]], [[12, 2, 1, 2, 5, 2, 2, 2], [12, 2, 1, 2, 5, 2, 2, 2]], [[1, 2, 3, 4, 3], [6, 7, 8]], [[2, 2, 2, 2, 9, 2, 2], [2, 2, 2, 2, 9, 2, 2]], [[2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2]], [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 2, 2, 2, 2, 2]], [[3, 2, 0, 2], [3, 2, 0, 2]], [[2, 0, 2, 2, 2, 2, 2, 2], [2, 0, 2, 2, 2, 2, 2, 2]], [[13, 1, 0, 1], [13, 1, 0, 1]], [[1, 1, 11, 0, 0, 0, 1, 0, 1], [1, 1, 11, 0, 0, 0, 1, 0, 1]], [[2, 6, 2], [2, 6, 2]], [[2, 2, 0, 6, 2, 0], [2, 2, 0, 6, 2, 0]], [[2, 0, 2, 1, 2, 2, 2, 2, 2, 2], [2, 0, 2, 1, 2, 2, 2, 2, 2, 2]], [[3, 2, 2, 6, 2, 2], [3, 2, 2, 6, 2, 2]], [[1, 1, 0, 0, 1, 1, 1], [1, 1, 0, 0, 1, 1, 1]], [[1, 0, 7, 0, 5, 1], [1, 0, 7, 0, 5, 1]], [[1, 9, 13], [2, 4, 6, 6, 8]], [[1, 4, 7, 7, 13, 5, 1, 7, 7, 7], [1, 4, 7, 7, 13, 5, 1, 7, 7, 7]], [[4, 7, 7, 8, 13, 5, 7, 7, 13], [4, 7, 7, 8, 13, 5, 7, 7, 13]], [[1, 2, 1, 1, 1], [2, 2, 2]], [[1, 1, 1, 1, 9, 6, 1, 1, 1, 1, 1], [1, 1, 1, 1, 9, 6, 1, 1, 1, 1, 1]], [[2, 2, 1, 2, 2, 2, 2, 2], [2, 2, 1, 2, 2, 2, 2, 2]], [[6, 1, 3, 5, 7], [6, 1, 3, 5, 7]], [[2, 2, 2, 2, 2, 2, 5, 2], [1, 1, 1, 2]], [[1, 3, 7, 5, 4, 7, 1, 3, 5, 6], [1, 3, 7, 5, 4, 7, 1, 3, 5, 6]], [[2, 4, 6, 6, 9, 3, 1, 6], [2, 4, 6, 6, 9, 3, 1, 6]], [[5, 6, 6, 2, 8, 2, 1], [5, 6, 6, 2, 8, 2, 1]], [[9, 6, 1, 1, 0, 1, 2, 1], [9, 6, 1, 1, 0, 1, 2, 1]], [[2, 1, 1, 1, 1, 1], [2, 2, 2, 2]], [[1, 8, 4, 7, 7, 13, 5, 1, 7, 7, 7, 7], [1, 8, 4, 7, 7, 13, 5, 1, 7, 7, 7, 7]], [[1, 2, 1, 1, 1], [1, 2, 1, 1, 1]], [[2, 2, 3, 2, 2, 2], [2, 2, 3, 2, 2, 2]], [[4, 8, 8, 2], [4, 8, 8, 2]], [[1, 8], [4, 6, 8]], [[5, 6, 6, 3, 8, 2], [5, 6, 6, 3, 8, 2]], [[7, 3, 1, 5, 2, 2, 5], [7, 3, 1, 5, 2, 2, 5]], [[6, 1, 1, 1, 0, 1], [6, 1, 1, 1, 0, 1]], [[9, 0, 6, 13, 1, 1], [9, 0, 6, 13, 1, 1]], [[6, 0, 1, 1], [6, 0, 1, 1]], [[1, 1, 0, 0, 1, 13, 1, 1], [1, 1, 0, 0, 1, 13, 1, 1]], [[8, 1, 2, 1, 1, 1, 1, 1, 2], [8, 1, 2, 1, 1, 1, 1, 1, 2]], [[1, 4, 7, 7, 11, 8, 13, 1, 7, 2, 7, 7], [1, 4, 7, 7, 11, 8, 13, 1, 7, 2, 7, 7]], [[9, 6, 1, 5, 5, 0], [9, 6, 1, 5, 5, 0]], [[5, 4, 6, 4], [5, 4, 6, 4]], [[1, 2, 6, 1, 1, 1, 1, 1, 1], [1, 2, 6, 1, 1, 1, 1, 1, 1]], [[4, 7, 7, 8, 5, 1, 7, 7, 7], [4, 7, 7, 8, 5, 1, 7, 7, 7]], [[2, 4, 13, 8, 8], [2, 4, 13, 8, 8]], [[13, 5, 2, 2, 8, 5, 1, 1], [13, 5, 2, 2, 8, 5, 1, 1]], [[3, 6, 2, 3, 2, 4, 2, 4, 4], [3, 6, 2, 3, 2, 4, 2, 4, 4]], [[1, 1], [1, 1]], [[13, 5, 2, 5, 2, 8, 5, 1, 1], [13, 5, 2, 5, 2, 8, 5, 1, 1]], [[1, 0, 1, 0, 1, 0, 0, 0], [1, 0, 1, 0, 1, 0, 0, 0]], [[2, 13, 1, 0, 1, 0], [2, 13, 1, 0, 1, 0]], [[2, 2, 2, 2], [2, 1, 1, 1, 1, 1]], [[9, 6, 1, -1, 1, 0, 1, 2], [9, 6, 1, -1, 1, 0, 1, 2]], [[2, 2, 6, 2, 2, 2], [2, 2, 6, 2, 2, 2]], [[1, 0, 1, 1, 12], [1, 0, 1, 1, 12]], [[2, 4, 6, 8, 8], [1, 3, 7, 3]], [[2, 2, 2, 2, 2, 2, 2, 2], [1, 1, 1, 1, 2, 1, 1, 1]], [[3, 4, 2, 2, 5, 2, 4], [3, 4, 2, 2, 5, 2, 4]], [[3, 5, 2, 2, 4], [3, 5, 2, 2, 4]], [[12, 12, 8], [12, 12, 8]], [[2, 1, 0, 1, 0], [2, 1, 0, 1, 0]], [[1, 5, 0, 1, 1], [1, 5, 0, 1, 1]], [[1, 5, 7, 1, 3, 5, 7, 7], [1, 5, 7, 1, 3, 5, 7, 7]], [[9, 1, 1, 1, 2], [9, 1, 1, 1, 2]], [[1, 2, 1, 1, 1, 1], [1, 2, 1, 1, 1, 1]], [[12, 1, 1, 0, 1, 6], [12, 1, 1, 0, 1, 6]], [[1, 1, 11, 0, 0, 0, 1, 0, 1, 0], [1, 1, 11, 0, 0, 0, 1, 0, 1, 0]], [[5, 5, 2, 9, 2, 5], [5, 5, 2, 9, 2, 5]], [[1, 2, 1, 6, 1, 1, 1, 1, 1, 1, 1], [1, 2, 1, 6, 1, 1, 1, 1, 1, 1, 1]], [[1, 3, 7, 1, 3, 5, 7], [12, 4, 6, 8, 2, 4, 6, 8]], [[2, 4, 6, 2, 4, 6, 8], [1, 3, 7, 5, 7, 3, 5, 6]], [[5, 5, 7, 2, 8, 6, 2, 5], [5, 5, 7, 2, 8, 6, 2, 5]], [[2, 4, 6, 9, 3, 1, 2], [2, 4, 6, 9, 3, 1, 2]], [[2, 4, 8, 2], [2, 4, 8, 2]], [[9, 6, 0, 5, 1, 1, 0, 1], [9, 6, 0, 5, 1, 1, 0, 1]], [[3, 3, 2, 2, 2, 2], [3, 3, 2, 2, 2, 2]], [[6, 0, 1, 1, 6], [6, 0, 1, 1, 6]], [[-1, 7, 8, 5, 1, 7, 5, 4], [-1, 7, 8, 5, 1, 7, 5, 4]], [[9, 6, 1, -1, 0, 1, 2], [9, 6, 1, -1, 0, 1, 2]], [[3, 4, 2, 2, 4, 2], [3, 4, 2, 2, 4, 2]], [[1, 1, 1, 1, 9, 6, 7, 1, 1, 1, 1, 1], [1, 1, 1, 1, 9, 6, 7, 1, 1, 1, 1, 1]], [[2, 4, 1, 1, 1, 1], [2, 2, 2, 2]], [[2, 4, 6, 2, 4, 6, 8], [3, 7, 5, 7, 3, 5, 6]], [[9, 6, 1, 1, 1, 2, 2], [9, 6, 1, 1, 1, 2, 2]], [[2, 1, 1, 1, 1, 1], [2, 2, 2, 2, 2]], [[5, 4, 6, 6, 4, 5], [5, 4, 6, 6, 4, 5]], [[7, 7, 3, 8, 1, 7, 7, 7], [7, 7, 3, 8, 1, 7, 7, 7]], [[5, 6, 13, 8, 8], [5, 6, 13, 8, 8]], [[5, 6, 9, 13, 8, 8], [5, 6, 9, 13, 8, 8]], [[5, 6, 6, 2, 8, 2, 8], [5, 6, 6, 2, 8, 2, 8]], [[2, 13, 1, 1, 0], [2, 13, 1, 1, 0]], [[3, 2, 1, 1, 1, 1, 1, 1, 2], [3, 2, 1, 1, 1, 1, 1, 1, 2]], [[6, 1, 1, 0, 2, 0], [6, 1, 1, 0, 2, 0]], [[1, 2, 1, 6, 1, 1, 1, 1, 1, 1, 1, 1], [1, 2, 1, 6, 1, 1, 1, 1, 1, 1, 1, 1]], [[1, 2, 6, 1, 1, 1, 1, 1], [1, 2, 6, 1, 1, 1, 1, 1]], [[2, 2, 2, 2, 2, 2, 5, 2], [2, 2, 2, 2, 2, 2, 5, 2]], [[1, 5, 1, 0, 1, 1, 0, 1], [1, 5, 1, 0, 1, 1, 0, 1]], [[2, 1, 1, 5, 2], [2, 1, 1, 5, 2]], [[1, 8], [4, 6, 8, 4]], [[1, 1, 1, 9, 1, 1, 1, 1, 1], [2, 2, 2, 2, 2]], [[6, 6, 8, 8], [6, 6, 8, 8]], [[13, 2, 2, 5, 5, 2, 2], [13, 2, 2, 5, 5, 2, 2]], [[1, 1, 2, 1, 1, 1, 1, 1], [1, 1, 2, 1, 1, 1, 1, 1]], [[1, 0, 1, 0, 1, 0, 0, 0, 0], [1, 0, 1, 0, 1, 0, 0, 0, 0]], [[2, 2, 2, 2, 2, 2, 5, 2, 2], [1, 1, 1, 2]], [[1, 0, 0, 1], [1, 0, 0, 1]], [[13, 1, 1], [13, 1, 1]], [[2, 2, 2, 2], [2, 1, 1, 1, 2, 1, 1]], [[1, 6], [1, 6]], [[1, 2, 7, 5, 4, 7, 1, 3, 5, 6], [1, 2, 7, 5, 4, 7, 1, 3, 5, 6]], [[4, 9, 11, 10, 13], [4, 9, 11, 10, 13]], [[9, 6, 0, 0, 5, 1, 1, 0, 1], [9, 6, 0, 0, 5, 1, 1, 0, 1]], [[1, 1, 1, 9, 6, 1, 1, 1, 1, 1], [1, 1, 1, 9, 6, 1, 1, 1, 1, 1]], [[1, 0, 1, 0], [1, 0, 1, 0]], [[6], [6]], [[13, 2, 2, 5, 2, 2, 2], [13, 2, 2, 5, 2, 2, 2]], [[5, 5, 2, 7, 2, 7], [5, 5, 2, 7, 2, 7]], [[5, 5, 7, 2, 8, 11, 6, 2, 5], [5, 5, 7, 2, 8, 11, 6, 2, 5]], [[2, 8, 2], [2, 8, 2]], [[1, 1, 2], [2, 2, 2, 2, 2, 2]], [[1, 1, -1, 1, 6, 1, 1], [1, 1, -1, 1, 6, 1, 1]], [[3, -1, 2, 6, 2, 3], [3, -1, 2, 6, 2, 3]], [[4, 7, 7, 7, 8, 13, 5, 1, 8, 7], [4, 7, 7, 7, 8, 13, 5, 1, 8, 7]], [[1, 3, 5, 7, 1, 3, 5, 7, 5], [2, 4, 6, 2, 4, 6, 8]], [[1, 1, 1, 1, 1], [2, 2, 2, 2, 2, 2, 2]], [[1, 1, 0, 1, 0, 1, 0, 1], [1, 1, 0, 1, 0, 1, 0, 1]], [[5, 2, 8, 2, 2], [5, 2, 8, 2, 2]], [[13, 2, 13], [13, 2, 13]], [[1, 1, 1, 1, 2, 9, 6, 1, 1], [1, 1, 1, 1, 2, 9, 6, 1, 1]], [[1, 3, 5, 7, 1, 3, 5, 7], [2, 4, 6, 12, 2, 4, 6, 8]], [[6, 1, 1, 0], [6, 1, 1, 0]], [[2, 2, 5, 2, 2], [2, 2, 5, 2, 2]], [[6, 1, 0, 2, 0], [6, 1, 0, 2, 0]], [[5, 5, 7, 2, 2, 5, 5], [5, 5, 7, 2, 2, 5, 5]], [[4, 6, 8, 8, 2, 8], [4, 6, 8, 8, 2, 8]], [[2, 2, 0, 2, 2, 2, 2], [2, 2, 0, 2, 2, 2, 2]], [[1, 1, 1, 2, 6, 1, 1, 6], [1, 1, 1, 2, 6, 1, 1, 6]], [[9, 6, 6, 1, 1, 2], [9, 6, 6, 1, 1, 2]], [[1, 2, 3, 4, 3, 1], [5, 6, 7, 8]], [[2, 2, 2, 2, 2, 2, 7, 2, 2], [2, 2, 2, 2, 2, 2, 7, 2, 2]], [[0, 1, 6, 0, 1, 0, 0, 0], [0, 1, 6, 0, 1, 0, 0, 0]], [[2, 5, 6, 2, 4, 6, 8], [2, 5, 6, 2, 4, 6, 8]], [[13, 13, 5, 2, 2, 8, 5, 1, 1], [13, 13, 5, 2, 2, 8, 5, 1, 1]], [[1, 3, 7, 1, 3, 5, 7, 1], [1, 3, 7, 1, 3, 5, 7, 1]], [[6, 1, 2, 0, 3], [6, 1, 2, 0, 3]], [[1, 2, 7, 5, 4, 7, 1, 3, 5, 5], [1, 2, 7, 5, 4, 7, 1, 3, 5, 5]], [[-1, 4, 13, 8, 8], [-1, 4, 13, 8, 8]], [[3, 4, 2, 1, 2, 5, 2, 4], [3, 4, 2, 1, 2, 5, 2, 4]], [[9, 6, 1, 0], [9, 6, 1, 0]], [[2, 4, 1, 1, 1, 1], [2, 2, 2, 2, 2]], [[2, 4, 6, 2, 4, 6, 8, 6], [2, 4, 6, 2, 4, 6, 8, 6]], [[9, 6, 1, -1, 0, 1, 2, 6], [9, 6, 1, -1, 0, 1, 2, 6]], [[2, 2, 2, 2, 2, 5, 2], [2, 2, 2, 2, 2, 5, 2]], [[13, 1, 1, 13], [13, 1, 1, 13]], [[3, 3, 10, 2, 2, 6, 2, 2, 6], [3, 3, 10, 2, 2, 6, 2, 2, 6]], [[2, 2, 0, 2], [2, 2, 0, 2]], [[1, 9], [1, 9]], [[13, 2, 2, 2, 2, 2], [13, 2, 2, 2, 2, 2]], [[1, 2], [1, 2]], [[6, 1, 1, 1, 0, 1, 1], [6, 1, 1, 1, 0, 1, 1]], [[3, 2, 1, 1, 1, 1, 0, 1, 2], [3, 2, 1, 1, 1, 1, 0, 1, 2]], [[2, -1, 1, 1, 1, 1], [2, -1, 1, 1, 1, 1]], [[1, 2, 1, 1, 1, 1, 1, 1, 1, 1], [1, 2, 1, 1, 1, 1, 1, 1, 1, 1]], [[2, 4, 6, 8, 2, 4, 6, 8, 8], [2, 4, 6, 8, 2, 4, 6, 8, 8]], [[2, 2, 3, 2, 2, 2, 2], [2, 2, 3, 2, 2, 2, 2]], [[4, 7, 7, 5, 10, 7, 7, 7], [4, 7, 7, 5, 10, 7, 7, 7]], [[2, 2, 2, 2, 2, 2, 6], [2, 2, 2, 2, 2, 2, 6]], [[2, 1, 0, 0, 1, 1, 1, 2], [2, 1, 0, 0, 1, 1, 1, 2]], [[1, 1, 0, 0, 1, 1, -1, 1], [1, 1, 0, 0, 1, 1, -1, 1]], [[1, 5, 1, 5, 8, 7, 2, 2, 5, 5], [1, 5, 1, 5, 8, 7, 2, 2, 5, 5]], [[4, 7, 7, 7, 8, 1, 7, 7, 7], [4, 7, 7, 7, 8, 1, 7, 7, 7]], [[2, 4, 8, 6, 8, 8, 2], [2, 4, 8, 6, 8, 8, 2]], [[1, 4, 7, 6, 7, 13, 5, 1, 7, 7, 7], [1, 4, 7, 6, 7, 13, 5, 1, 7, 7, 7]], [[9, 2, 2, 2, 2, 2, 2, 2, 2], [1, 1, 1, 1, 1, 1, 1, 1]], [[6, 0, 1, 1, 0, 0], [6, 0, 1, 1, 0, 0]], [[7, 2, 2, 2, 2, 2], [7, 2, 2, 2, 2, 2]], [[2, 4, 6, 9, 9, 3, 1, 2], [2, 4, 6, 9, 9, 3, 1, 2]], [[1, 1, -1, 1, 1, 9, 6, 1, 1], [1, 1, -1, 1, 1, 9, 6, 1, 1]], [[1, 1, 1, 2, 6, 1, 1, 2], [1, 1, 1, 2, 6, 1, 1, 2]], [[4, 7, 7, 8, 13, 4, 5, 1, 7, 7], [4, 7, 7, 8, 13, 4, 5, 1, 7, 7]], [[10, 1, 11, 0, 0, -1, 1, 0], [10, 1, 11, 0, 0, -1, 1, 0]], [[13, 5, 1, 0, 1, 1], [13, 5, 1, 0, 1, 1]], [[6, 1, 1, 1, 0, 0], [6, 1, 1, 1, 0, 0]], [[1, 9, 9, 13], [2, 4, 6, 8]], [[4, 2, 1, 7, 2, 2], [4, 2, 1, 7, 2, 2]], [[2, 4, 6, 8, 2, 4, 6, 8, 8, 6], [2, 4, 6, 8, 2, 4, 6, 8, 8, 6]], [[1, 1, 1, 6, 1], [2, 2, 2, 9, 2, 2]], [[1, 3, 7, 4, 6, 1, 3, 5, 6], [1, 3, 7, 4, 6, 1, 3, 5, 6]], [[2, 2, 2, 2, 2, 3, 2, 2, 2], [1, 1, 1, 2]], [[3, 2, 2, 6, 2, 2, 2], [3, 2, 2, 6, 2, 2, 2]], [[13, 13], [13, 13]], [[3, 4, 2, 2, 4, 3], [3, 4, 2, 2, 4, 3]], [[4, 7, 7, 8, 13, 5, 1, 7, 7, 13, 8], [4, 7, 7, 8, 13, 5, 1, 7, 7, 13, 8]], [[9, 5, 1, 1, 1, 2], [9, 5, 1, 1, 1, 2]], [[2, 1, 1, 1, 0, 1, 0], [2, 1, 1, 1, 0, 1, 0]], [[7, 3, 2, 2, 2, 9, 2, 2], [7, 3, 2, 2, 2, 9, 2, 2]], [[2, 4, 6, 8, 2, 4, 6, 8, 8, 6, 6, 4], [2, 4, 6, 8, 2, 4, 6, 8, 8, 6, 6, 4]], [[8, 12, -1, 1, -1, 2, 5, 2, 2, 8], [8, 12, -1, 1, -1, 2, 5, 2, 2, 8]], [[5, 5, 7, 2, 6, 2, 5], [5, 5, 7, 2, 6, 2, 5]], [[1, 3, 5, 12, 7], [2, 4, 6, 8]], [[13, 1, 1, 1], [13, 1, 1, 1]], [[13, 2, 14, 13], [13, 2, 14, 13]], [[1, 3, 5, 7, 1, 3, 5, 7], [2, 4, 6, 8, 2, 4, 6, 8, 4]], [[9, 6, 1, 1, 2, 0, 1], [9, 6, 1, 1, 2, 0, 1]], [[13, 2, 2, 2, 2, 2, 2], [13, 2, 2, 2, 2, 2, 2]], [[0, 1, 1, 6], [0, 1, 1, 6]], [[1, 1, 6, 1, 6, 1, 1], [1, 1, 6, 1, 6, 1, 1]], [[9, 5, 1, 1, 1, 2, 1], [9, 5, 1, 1, 1, 2, 1]], [[4, 11, 2, 2, 2, 2, 2, 2], [4, 11, 2, 2, 2, 2, 2, 2]], [[1, 2, 1, 2], [2, 2, 5, 2, 2, 2, 2]], [[2, 4, 6, 8, 2, 3, 6, 8], [1, 3, 5, 7, 1, 3, 5, 7]], [[1, 12, 1, 1, 2], [2, 2, 2, 2, 2, 2]], [[1, 2, 1, 2], [1, 2, 1, 2]], [[9, 1, 1, 0], [9, 1, 1, 0]], [[4, 7, 7, 8, 5, 1, 7, 9, 7, 4], [4, 7, 7, 8, 5, 1, 7, 9, 7, 4]], [[9, 6, 1], [9, 6, 1]], [[6, 6, 8, 8, 8], [6, 6, 8, 8, 8]], [[2, 4, 6, 8, 2, 4, 8, 8], [2, 4, 6, 8, 2, 4, 8, 8]], [[7, 2, 2, 7], [7, 2, 2, 7]], [[1, 3], [1, 3]], [[5, 5, 8, 2], [5, 5, 8, 2]], [[2, 1, 2, 1, 1, 0, 1, 0], [2, 1, 2, 1, 1, 0, 1, 0]], [[2, 2, 0, 2, 2], [2, 2, 0, 2, 2]], [[4, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2]], [[2, 5, 2, 2, 2, 2, 2, 2], [1, 1, 1, 1, 1, 1, 1]], [[2, 2, 2, 2, 2, 2, 2, 2], [0, 1, 1, 2, 2]], [[1, 5, 1, 0, 1], [1, 5, 1, 0, 1]], [[2, 13, 1, 0], [2, 13, 1, 0]], [[5, 6, 7, 8, 8], [5, 6, 7, 8, 8]], [[5, 5, 7, 2, 6, 2, 5, 6], [5, 5, 7, 2, 6, 2, 5, 6]], [[3, 4, 2, 2, 4, 3, 2, 4, 2], [3, 4, 2, 2, 4, 3, 2, 4, 2]], [[0, 1, 6, 0, 1, 0, 0, 0, 1], [0, 1, 6, 0, 1, 0, 0, 0, 1]], [[12, 4, 6, 8, 2, 4, 6, 8, 4], [12, 4, 6, 8, 2, 4, 6, 8, 4]], [[2, 6, 9, 3, 1, 5, 2], [2, 6, 9, 3, 1, 5, 2]], [[8, 6, 1, 4, 5, 7, 1, 9, 6, 7, 5, 7], [8, 6, 1, 4, 5, 7, 1, 9, 6, 7, 5, 7]], [[1, 2, 3, 4, 3], [5, 5, 7, 8, 8]], [[5, 5, 7, 2, 8, 2, 5, 2], [5, 5, 7, 2, 8, 2, 5, 2]], [[2, 4, 6, 6, 3, 9, 3, 1, 6, 4], [2, 4, 6, 6, 3, 9, 3, 1, 6, 4]], [[2, 2, 4], [2, 2, 4]], [[4, 7, 7, 8, 5, 1, 7, 7], [4, 7, 7, 8, 5, 1, 7, 7]], [[6, 1, 3, 1, 2, 0, 1, 1], [6, 1, 3, 1, 2, 0, 1, 1]], [[6, 6, 2, 8, 2, 2], [6, 6, 2, 8, 2, 2]], [[2, 4, 6, 2, 4, 9, 6, 8, 8], [1, 3, 7, 5, 7, 1, 3, 5, 6]], [[13, 5, 2, 5, 2, 8, 5, 1, 1, 5], [13, 5, 2, 5, 2, 8, 5, 1, 1, 5]], [[2, 2, 3, 2, 2, 2, 2, 3], [2, 2, 3, 2, 2, 2, 2, 3]], [[1, 1, 0, 9, 1], [1, 1, 0, 9, 1]], [[14, 5, 2, 5, 2, 8, 5, 1, 1, 7, 5], [14, 5, 2, 5, 2, 8, 5, 1, 1, 7, 5]], [[12, 2, 2, 1, 2, 5, 2, 2], [12, 2, 2, 1, 2, 5, 2, 2]], [[5, 6, 6, 3, 8, 2, 5], [5, 6, 6, 3, 8, 2, 5]], [[2, 13, 8, 8], [2, 13, 8, 8]], [[2, 3, 4], [5, 6, 7, 8]], [[1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1]], [[5, 7, 1, 3, 5, 7, 7], [5, 7, 1, 3, 5, 7, 7]], [[2, 2, 2, 2, 2, 2, 2], [1, 1, 1, 2, 2, 1]], [[1, 2, 3, 5, 3, 2], [5, 5, 7, 8, 8]], [[2, 2, 1, 2, 2, 2, 2], [2, 2, 1, 2, 2, 2, 2]], [[1, 1, 1, 7, 1, 6, 1, 1, 1], [1, 1, 1, 7, 1, 6, 1, 1, 1]], [[1, 4, 7, 1, 3, 5, 7, 7], [2, 4, 6, 8, 2, 4, 6, 8]], [[9, 6, 1, 1, 0, 2, 9], [9, 6, 1, 1, 0, 2, 9]], [[13, 2, 5, 2, 2], [13, 2, 5, 2, 2]], [[13, 5, 2, 5, 2, 8, 5, 1, 1, 0, 5], [13, 5, 2, 5, 2, 8, 5, 1, 1, 0, 5]], [[5, 6, 6, 2, 11, 8, 2, 8, 2], [5, 6, 6, 2, 11, 8, 2, 8, 2]], [[1, 1, 2, 1], [2, 2, 2, 2, 2, 2]], [[4, 8, 5, 1, 7], [4, 8, 5, 1, 7]], [[2, 2, 1, 2, 2, 1, 2, 4, 2, 2], [2, 2, 1, 2, 2, 1, 2, 4, 2, 2]], [[2, 4, 6, 8, 2, 4, 6, 8], [1, 3, 5, 7, 1, 3, 5, 7, 7]], [[0, 2, 6, 1, 1, 1, 1, 1], [0, 2, 6, 1, 1, 1, 1, 1]], [[5, 1, 5, 2, 8, 2], [5, 1, 5, 2, 8, 2]], [[14, 2, 0, 2, 2, 2, 1], [14, 2, 0, 2, 2, 2, 1]], [[1, 9, 2, 1, 1, 1, 1], [1, 9, 2, 1, 1, 1, 1]], [[1, 1, 9, 4, 7, 7, 13, 5, 1, 7, 7, 7, 1], [1, 1, 9, 4, 7, 7, 13, 5, 1, 7, 7, 7, 1]], [[3, 6, 3, 2, 3, 2, 4, 5, 4], [3, 6, 3, 2, 3, 2, 4, 5, 4]], [[7, 7, 8, 13, 1, 12, 13, 8], [7, 7, 8, 13, 1, 12, 13, 8]], [[2, 2, 2, 2, 2, 1], [1, 1]], [[1, 1, 7, 13, 5, 1, 7, 7, 7, 1], [1, 1, 7, 13, 5, 1, 7, 7, 7, 1]], [[0, 1, 1, 2, 2], [0, 1, 1, 2, 2]], [[9, 2, 4, 8, 2], [9, 2, 4, 8, 2]], [[4, 8, 5, 7, 5], [4, 8, 5, 7, 5]], [[13, 1, 1, 13, 1], [13, 1, 1, 13, 1]], [[1, 8, 2], [1, 8, 2]], [[2, 4, 6, 2, 4, 6, 8], [1, 3, 5, 7, 1, 3, 5, 7, 7]], [[6, 1, 3, 5, 7, 1, 9, 7, 5, 7], [2, 10, 6, 2, 4, 6, -1, 8]], [[3, -1, 2, 2, 6, 2, 7], [3, -1, 2, 2, 6, 2, 7]], [[3, 2, 6, 2], [3, 2, 6, 2]], [[2, 2, 6, 2, 6], [2, 2, 6, 2, 6]], [[1, 4, 7, 7, 8, 13, 12, 1, 7, 7], [1, 4, 7, 7, 8, 13, 12, 1, 7, 7]], [[1, 3, 5, 6, 0, 7, 1, 3, 5, 7, 5, 1], [1, 3, 5, 6, 0, 7, 1, 3, 5, 7, 5, 1]], [[1, 2, 3, 4, 3, 1], [1, 2, 3, 4, 3, 1]], [[2, 4, 6, 2, 4, 6], [1, 3, 5, 7, 1, 3, 5, 7, 7]], [[3, 4, 2, 2, 4, 3, 2, 5], [3, 4, 2, 2, 4, 3, 2, 5]], [[2, 4, 6, 8, 2, 4, 6, 8], [2, 4, 6, 8, 2, 4, 6, 8]], [[2, 8, 6, 8], [2, 8, 6, 8]], [[1, 2, 3, 5, 2], [5, 5, 7, 8, 8]], [[1, 12, 1, 1, 2], [2, 2, 2, 2, 1, 2]], [[2, 0, 2, 2, 2, 1], [2, 0, 2, 2, 2, 1]], [[1, 1, 1, 6, 1], [1, 1, 1, 6, 1]], [[1, 2, 1, 1, 1, 1, 2, 1, 1, 1], [1, 2, 1, 1, 1, 1, 2, 1, 1, 1]], [[1, 1, 1, 1, 2, 9, 6, 1, 1, 1], [1, 1, 1, 1, 2, 9, 6, 1, 1, 1]], [[0, 1, 0], [0, 1, 0]], [[3, 2, 0, 5, 0], [3, 2, 0, 5, 0]], [[1, 2, 3, 4, 3, 2], [6, 7, 8]], [[9, 6, 1, -1, 1, 0, 1, 2, 2], [9, 6, 1, -1, 1, 0, 1, 2, 2]], [[1, 3, 4, 2, 1, 3, 5, 7], [1, 3, 4, 2, 1, 3, 5, 7]], [[13, 9, 7, 11, 13], [13, 9, 7, 11, 13]], [[1, 2, 1, 6, 1, 1, 1, 0, 13, 1, 1], [1, 2, 1, 6, 1, 1, 1, 0, 13, 1, 1]], [[2, 2, 2, 2, 2, 6], [2, 2, 2, 2, 2, 6]], [[1], [2, 2, 2, 2, 2, 2, 2]], [[4, 2, 2, 3, 2, 2, 2, 2, 2, 2], [4, 2, 2, 3, 2, 2, 2, 2, 2, 2]], [[5, 6, 7, 8, 7], [5, 6, 7, 8, 7]], [[1, 12, 1, 1, 2], [2, 2, 2, 2, 2, 2, 2]], [[2, 4, 6, 8, 2, 4, 6, 8, 8, 8], [2, 4, 6, 8, 2, 4, 6, 8, 8, 8]], [[9, 11, 8], [9, 11, 8]], [[-1, 13, 1, 0, 1, 0], [-1, 13, 1, 0, 1, 0]], [[4, 7, 7, 8, 13, 4, 5, 1, 7, 7, 8], [4, 7, 7, 8, 13, 4, 5, 1, 7, 7, 8]], [[13, 2, 3, 5, 2, 2], [13, 2, 3, 5, 2, 2]], [[2, 1, 6, 8, 2, 3, 6, 8], [1, 3, 5, 7, 1, 3, 5, 7]], [[6, 6, 3, 8, 2, 5, 5], [6, 6, 3, 8, 2, 5, 5]], [[1, 0, 1], [1, 0, 1]], [[5, 6, 2, 8], [5, 6, 2, 8]], [[9, 6, 1, 1, 0, 2, 8], [9, 6, 1, 1, 0, 2, 8]], [[9, 14, 6, 10, 1, 0], [9, 14, 6, 10, 1, 0]], [[2, 4], [2, 4]], [[3, 3, 2, 2, 2, 3], [3, 3, 2, 2, 2, 3]], [[1, 3, 7, 5, 7, 1, 4, 5, 6], [1, 3, 7, 5, 7, 1, 4, 5, 6]], [[1, 1, 1, 1, 1, 1, 1, 1, 0], [1, 1, 1, 1, 1, 1, 1, 1, 0]], [[9, 6, 5, 1, 1, 0, 5], [9, 6, 5, 1, 1, 0, 5]], [[2, 6, 3, 1, 5, 2, 2], [2, 6, 3, 1, 5, 2, 2]], [[4, 7, 8, 5, 6, 1, 7, 1], [4, 7, 8, 5, 6, 1, 7, 1]], [[1, 1, 11, 0, 0, 1, 0, 1], [1, 1, 11, 0, 0, 1, 0, 1]], [[3, 0, 2, 7], [3, 0, 2, 7]], [[1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1]], [[12, 2, 4, 8, 8], [12, 2, 4, 8, 8]], [[1, 9, 13, 13], [2, 4, 6, 6, 8]], [[1, 2, 1, 1, 1, 1, 1, 1], [1, 2, 1, 1, 1, 1, 1, 1]], [[1, 0, 0, 1, 13, 1], [1, 0, 0, 1, 13, 1]], [[2, 0, 2, 2, 1], [2, 0, 2, 2, 1]], [[2, 2, 2, 2, 2, 2, 2], [11, 1, 1, 1, 1]], [[2, 2, 3, 1, 2, 11, 2, 2, 2], [2, 2, 3, 1, 2, 11, 2, 2, 2]], [[13, 1, 0, 13], [13, 1, 0, 13]], [[1, 1, 11, 0, 0, 1, 0, 0, 0], [1, 1, 11, 0, 0, 1, 0, 0, 0]], [[6, 6, 2, 8, 2, 2, 6], [6, 6, 2, 8, 2, 2, 6]], [[1, 1, 11, 5, 0, 1, 0, 0, 0], [1, 1, 11, 5, 0, 1, 0, 0, 0]], [[1, 0, 0, 1, 1], [1, 0, 0, 1, 1]], [[3, 2, 2, 4], [3, 2, 2, 4]], [[1], [1]], [[1, 1, 2], [2, 2, 2, 2, 2, 2, 2]], [[5, 8, 3, 6, 6, 2, 11, 8, 2, 8], [5, 8, 3, 6, 6, 2, 11, 8, 2, 8]], [[5, 6, 2, 8, 10], [5, 6, 2, 8, 10]], [[1, 0, 12, 1], [1, 0, 12, 1]], [[0, 1, 6, 0, 1, 0, 0], [0, 1, 6, 0, 1, 0, 0]], [[4, 7, 7, 8, 5, 1, 7, 9, 4], [4, 7, 7, 8, 5, 1, 7, 9, 4]], [[8, 6, 1, 4, 5, 7, 1, 9, 6, 7, 7], [8, 6, 1, 4, 5, 7, 1, 9, 6, 7, 7]], [[1, 4, 6, 8, 8], [1, 3, 7, 3]], [[2, 4, 6, 5, 0, 1], [2, 4, 6, 5, 0, 1]], [[9, 1, 5, 2, 2, 2], [9, 1, 5, 2, 2, 2]], [[4, 7, 8, 5, 1, 7, 7], [4, 7, 8, 5, 1, 7, 7]], [[10, 2, 5, 2, 2], [10, 2, 5, 2, 2]], [[2, 2, 2, 2, 2, 3, 2, 2, 2, 2], [2, 2, 2, 2, 2, 3, 2, 2, 2, 2]], [[0, 0, 2, 6, 1, 1, 1, 1], [0, 0, 2, 6, 1, 1, 1, 1]], [[2, 2, 13, 8], [2, 2, 13, 8]], [[5, 8, 3, 6, 6, 2, 11, 3, 2, 8], [5, 8, 3, 6, 6, 2, 11, 3, 2, 8]], [[3, 4, 2, 7, 2, 4, 3, 2, 4], [3, 4, 2, 7, 2, 4, 3, 2, 4]], [[1, 3, 5, 12, 7, 12, 12], [1, 3, 5, 12, 7, 12, 12]], [[3], [5]], [[6], [8]], [[1, 3, 5], [2, 4]], [[1, 3], [2, 4, 6]], [[1, 3, 5], [7, 9, 11]], [[2, 4, 6], [8, 10, 12]], [[1, 3, 5, 7, 9], [2, 4, 6, 8, 10]], [[1, 1, 1], [2, 2, 1, 2]], [[3, 2, 2, 2, 2, 2, 2, 2, 2], [3, 2, 2, 2, 2, 2, 2, 2, 2]], [[1, 1, 2, 1, 1, 1, 1], [2, 2, 2, 2, 2, 2, 2]], [[9, 11, 13], [9, 11, 13]], [[2, 2, 2, 2, 2, 2], [1, 1, 1, 1, 1, 1, 1]], [[3, 11, 13], [3, 11, 13]], [[12, 9, 11, 13], [12, 9, 11, 13]], [[3, 2, 2, 2, 2, 2, 2, 2, 6, 2, 2], [3, 2, 2, 2, 2, 2, 2, 2, 6, 2, 2]], [[2, 2], [2, 2]], [[1, 3, 5, 4, 7], [2, 4, 6, 9, 8]], [[3, 11, 13, 5, 11, 11], [3, 11, 13, 5, 11, 11]], [[2, 2, 2, 2, 2, 2, 2], [1, 1, 1, 1, 1, 1]], [[2, 2, 2, 2, 2, 2, 2], [1, 1, 1, 11, 1, 1, 1]], [[9, 11, 2, 13], [9, 11, 2, 13]], [[3, 11, 13, 5, 11, 11, 13], [3, 11, 13, 5, 11, 11, 13]], [[2, 4, 6, 8, 7], [2, 4, 6, 8, 7]], [[3, 2, 2, 2, 2, 2, 2, 2, 6, 2, 2, 2], [3, 2, 2, 2, 2, 2, 2, 2, 6, 2, 2, 2]], [[9, 11, 10, 13, 11], [9, 11, 10, 13, 11]], [[9, 11], [9, 11]], [[9, 10, 2, 11, 13], [9, 10, 2, 11, 13]], [[1, 1, 1, 1, 1], [2, 2, 2, 1, 2]], [[1, 1, 1, 11, 1, 1, 1], [1, 1, 1, 11, 1, 1, 1]], [[10, 2, 7, 13, 13], [10, 2, 7, 13, 13]], [[5, 2, 8, 1], [5, 2, 8, 1]], [[1, 5, 7, 1, 3, 5, 7, 3], [2, 4, 6, 8, 2, 4, 6, 8]], [[1, 1, 1], [1, 1, 1]], [[2, 2, 2, 2, 2, 2], [1, 1, 1, 11, 1, 1, 1]], [[5, 2, 8, 0], [5, 2, 8, 0]], [[11, 11], [11, 11]], [[2, 3, 2], [2, 3, 2]], [[2, 4, 7, 8, 7, 7], [2, 4, 7, 8, 7, 7]], [[12, 9, 11, 10, 13, 9], [12, 9, 11, 10, 13, 9]], [[2, 2, 11, 2, 2, 3, 2], [1, 1, 1, 1, 1, 1, 1]], [[9, 6, 0, 0], [9, 6, 0, 0]], [[9, 10, 2, 11], [9, 10, 2, 11]], [[9, 10, 5, 2, 11], [9, 10, 5, 2, 11]], [[1, 5, 7, 1, 3, 5, 7, 3, 5], [2, 4, 6, 8, 2, 4, 6, 8]], [[1, 1, 1, 1, 1], [2, 2, 1, 2, 1, 2]], [[5, 2, 8, 4, 1], [5, 2, 8, 4, 1]], [[1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1]], [[1, 5, 7, 1, 3, 6, 7, 3, 5], [1, 5, 7, 1, 3, 6, 7, 3, 5]], [[9, 0, 10, 2, 11], [9, 0, 10, 2, 11]], [[2, 8, 0], [2, 8, 0]], [[1, 8, 3, 4], [5, 6, 7, 8]], [[3, 13, 5, 11, 11, 13], [3, 13, 5, 11, 11, 13]], [[3, 2, 2, 2, 2, 2, 2, 2, 2, 2], [3, 2, 2, 2, 2, 2, 2, 2, 2, 2]], [[9, 11, 10, 9, 11, 13], [9, 11, 10, 9, 11, 13]], [[3, 11, 13, 11, 5, 11, 11], [3, 11, 13, 11, 5, 11, 11]], [[5, 8, 4, 1], [5, 8, 4, 1]], [[1, 1, 1], [2, 2, 2, 2, 2, 2, 2]], [[3, 11, 13, 11, 5, 10, 11], [3, 11, 13, 11, 5, 10, 11]], [[9, 6, 11, 13, 10], [9, 6, 11, 13, 10]], [[1, 1, 1, 2, 1], [2, 2, 2, 2, 2, 2, 2]], [[10, 2], [10, 2]], [[3, 4, 13, 11, 5, 10, 11], [3, 4, 13, 11, 5, 10, 11]], [[8, 11, 10, 10, 11, 13], [8, 11, 10, 10, 11, 13]], [[1, 1, 1, 1, 1, 1, 1, 1, 11], [1, 1, 1, 1, 1, 1, 1, 1, 11]], [[9, 2, 11, 13], [9, 2, 11, 13]], [[9, 10, 2, 11, 10], [9, 10, 2, 11, 10]], [[1, 1, 1, 11, 11, 1, 1, 1], [1, 1, 1, 11, 11, 1, 1, 1]], [[8, 9, 11, 2, 13, 11], [8, 9, 11, 2, 13, 11]], [[1, 5, 7, 1], [1, 5, 7, 1]], [[5, 2, 8, 1, 5], [5, 2, 8, 1, 5]], [[9, 6, 11, 13, 10, 9], [9, 6, 11, 13, 10, 9]], [[9, 11, 13, 9], [9, 11, 13, 9]], [[1, 5, 7, 1, 3, 5, 7, 3, 7, 3], [1, 5, 7, 1, 3, 5, 7, 3, 7, 3]], [[1, 5, 7], [1, 5, 7]], [[5, 6, 7, 8], [5, 6, 7, 8]], [[3, 12, 11], [3, 12, 11]], [[1, 5, 7, 1, 3, 6, 7, 5], [1, 5, 7, 1, 3, 6, 7, 5]], [[9, 11, 2, 14], [9, 11, 2, 14]], [[3, 12, 11, 12, 12], [3, 12, 11, 12, 12]], [[9, 0, 10, 5, 2, 11], [9, 0, 10, 5, 2, 11]], [[9], [9]], [[1, 5, 7, 1, 3, 10, 6, 7, 3, 5], [1, 5, 7, 1, 3, 10, 6, 7, 3, 5]], [[1, 1, 0, 1, 1, 1, 1, 1, 1], [1, 1, 0, 1, 1, 1, 1, 1, 1]], [[10, 9, 10, 2, 11, 10], [10, 9, 10, 2, 11, 10]], [[2, 2, 2, 2, 2], [1, 1, 8, 11, 1, 1, 1]], [[3, 2, 2, 2, 2, 2, 2, 2, 6, 2], [3, 2, 2, 2, 2, 2, 2, 2, 6, 2]], [[2, 2, 2, 2, 2, 2, 2, 2], [1, 1, 1, 11, 1, 1, 1]], [[1, 5, 7, 1, 3, 5, 7, 3, 2, 7, 3], [1, 5, 7, 1, 3, 5, 7, 3, 2, 7, 3]], [[3, 11, 13, 11, 5, 10, 11, 13], [3, 11, 13, 11, 5, 10, 11, 13]], [[2, 2, 5, 2, 2, 2, 2, 2, 2], [2, 2, 5, 2, 2, 2, 2, 2, 2]], [[11, 3, 12], [11, 3, 12]], [[8, 10, 11, 13], [8, 10, 11, 13]], [[2, 2, 2, 2, 2], [1, 12, 8, 11, 1, 1, 1]], [[1, 1, 1, 1], [2, 2, 2]], [[9, 11, 11, 13, 13], [9, 11, 11, 13, 13]], [[5, 2, 8, 1, 8, 8], [5, 2, 8, 1, 8, 8]], [[5, 2, 8, 1, 8, 8, 2], [5, 2, 8, 1, 8, 8, 2]], [[1, 1, 11, 11, 1, 1, 1], [1, 1, 11, 11, 1, 1, 1]], [[2, 8], [2, 8]], [[2, 6, 8, 2, 10, 4, 6, 8], [2, 6, 8, 2, 10, 4, 6, 8]], [[3, 11, 13, 5, 11, 13], [3, 11, 13, 5, 11, 13]], [[3, 11, 13, 5, 11, 11, 11], [3, 11, 13, 5, 11, 11, 11]], [[11, 13, 9], [11, 13, 9]], [[9, 6, 11, 13, 1, 9], [9, 6, 11, 13, 1, 9]], [[2, 8, 0, 8], [2, 8, 0, 8]], [[9, 9, 11, 10, 13, 11], [9, 9, 11, 10, 13, 11]], [[1, 7, 1], [1, 7, 1]], [[1, 12, 13, 8, 11, 1, 1, 1, 1], [1, 12, 13, 8, 11, 1, 1, 1, 1]], [[1, 5, 7, 1, 3, 2, 5, 7, 3, 2, 7, 3], [1, 5, 7, 1, 3, 2, 5, 7, 3, 2, 7, 3]], [[11, 9], [11, 9]], [[5, 2, 1, 5, 1], [5, 2, 1, 5, 1]], [[9, 0, 10, 10, 11], [9, 0, 10, 10, 11]], [[1, 5, 7, 1, 3, 2, 5, 7, 3, 2, 7, 7, 3, 7], [1, 5, 7, 1, 3, 2, 5, 7, 3, 2, 7, 7, 3, 7]], [[8, 2, 8, 1, 5], [8, 2, 8, 1, 5]], [[8, 10, 10, 13, 10], [8, 10, 10, 13, 10]], [[10, 9], [10, 9]], [[7, 2, 11, 13], [7, 2, 11, 13]], [[12, 9, 11, 13, 10, 13, 13, 9], [12, 9, 11, 13, 10, 13, 13, 9]], [[2, 2, 2, 2, 2, 2, 2], [0, 1, 1, 1, 1, 1]], [[8, 2, 8, 1, 5, 8], [8, 2, 8, 1, 5, 8]], [[2, 2, 4, 6, 8], [2, 2, 4, 6, 8]], [[1, 1, 2, 1, 1, 7, 1], [2, 2, 2, 2, 2, 3, 2]], [[10, 9, 6, 10, 13, 1, 9], [10, 9, 6, 10, 13, 1, 9]], [[9, 0, 0], [9, 0, 0]], [[13, 9, 11, 13], [13, 9, 11, 13]], [[1, 5], [1, 5]], [[1, 0, 1, 1, 1, 1, 1, 1], [1, 0, 1, 1, 1, 1, 1, 1]], [[3, 4, 4, 13, 11, 5, 10, 11], [3, 4, 4, 13, 11, 5, 10, 11]], [[1, 1, 1, 11, 2, 1, 1, 1], [1, 1, 1, 11, 2, 1, 1, 1]], [[1, 1, 1, 1, 1, 1, 1, 1], [2, 2, 2, 2, 2, 2, 2]], [[3, 2, 2, 2, 2, 2, 2, 2, 3, 2], [3, 2, 2, 2, 2, 2, 2, 2, 3, 2]], [[2, 6, 8, 2, 10, 6], [2, 6, 8, 2, 10, 6]], [[1, 5, 7, 1, 3, 7, 7], [1, 5, 7, 1, 3, 7, 7]], [[9, 11, 8, 2, 13], [9, 11, 8, 2, 13]], [[7, 5, 2, 8, 1, 8, 8], [7, 5, 2, 8, 1, 8, 8]], [[3, 7, 2, 2, 2, 2, 2, 2, 6, 2, 2, 2], [3, 7, 2, 2, 2, 2, 2, 2, 6, 2, 2, 2]], [[2, 2, 4, 7, 9], [2, 2, 4, 7, 9]], [[2, 2, 2, 2, 2, 2, 3, 2], [1, 1, 1, 1, 1, 1]], [[2, 10, 9, 12, 10, 1, 9], [2, 10, 9, 12, 10, 1, 9]], [[2, 2, 5, 2, 2, 11, 3, 2, 2, 2], [2, 2, 5, 2, 2, 11, 3, 2, 2, 2]], [[3, 13, 7, 11, 11, 13], [3, 13, 7, 11, 11, 13]], [[2, 2, 2, 8, 2], [1, 1, 1, 1, 1, 1, 1]], [[9, 9, 11, 13], [9, 9, 11, 13]], [[5, 2, 0, 8, 1], [5, 2, 0, 8, 1]], [[1, 1, 0, 1, 1, 1, 1, 1], [1, 1, 0, 1, 1, 1, 1, 1]], [[2, 8, 6, 8, 2, 4, 6, 8, 8, 2], [2, 8, 6, 8, 2, 4, 6, 8, 8, 2]], [[10, 2, 2], [10, 2, 2]], [[3, 4, 13, 11, 5, 10, 11, 5], [3, 4, 13, 11, 5, 10, 11, 5]], [[3, 4, 13, 5, 10, 11], [3, 4, 13, 5, 10, 11]], [[2, 2, 2, 2, 2, 2, 2], [1, 1, 1, 1, 1, 1, 1, 1]], [[3, 13, 11, 5, 10, 11], [3, 13, 11, 5, 10, 11]], [[8, 8, 1, 5, 5], [8, 8, 1, 5, 5]], [[9, 2, 11, 11, 1, 13], [9, 2, 11, 11, 1, 13]], [[2, 3, 7, 8, 7, 7, 7], [2, 3, 7, 8, 7, 7, 7]], [[9, 11, 11, 1, 13, 13], [9, 11, 11, 1, 13, 13]], [[1, 5, 7, 1, 3, 10, 12, 7, 3, 5], [1, 5, 7, 1, 3, 10, 12, 7, 3, 5]], [[10, 11, 13], [10, 11, 13]], [[2, 2, 2, 2, 2, 2, 2, 2], [1, 1, 1]], [[2, 2, 11, 4, 2, 2, 3, 2], [1, 1, 1, 1, 1, 1, 1]], [[3, 2, 2, 2, 2, 4, 2, 2, 2, 2], [3, 2, 2, 2, 2, 4, 2, 2, 2, 2]], [[3, 11, 13, 5, 13], [3, 11, 13, 5, 13]], [[2, 2, 2, 5, 2], [2, 2, 2, 5, 2]], [[10, 9, 6, 10, 13, 9], [10, 9, 6, 10, 13, 9]], [[2, 3, 7, 8, 6, 7, 7, 2], [2, 3, 7, 8, 6, 7, 7, 2]], [[3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2], [3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2]], [[1, 5, 7, 1, 3, 6, 7], [1, 5, 7, 1, 3, 6, 7]], [[0, 1, 1, 1, 1], [2, 2, 1, 2, 1, 2]], [[1, 1, 2, 1, 1, 1, 1], [1, 1, 2, 1, 1, 1, 1]], [[9, 10, 5, 11], [9, 10, 5, 11]], [[12, 9, 11, 13, 10, 10, 13, 9, 12], [12, 9, 11, 13, 10, 10, 13, 9, 12]], [[1, 1, 1, 1], [1, 2, 2, 2, 2, 2, 2]], [[5, 2, 8, 1, 8, 2], [5, 2, 8, 1, 8, 2]], [[3, 4, 14, 13, 11, 5, 10, 11], [3, 4, 14, 13, 11, 5, 10, 11]], [[10, 1, 11, 10], [10, 1, 11, 10]], [[11, 13, 4, 9], [11, 13, 4, 9]], [[10, 13], [10, 13]], [[5, 2, 8, 1, 8, 7, 2], [5, 2, 8, 1, 8, 7, 2]], [[1, 2, 1, 1, 7, 1], [2, 2, 2, 2, 2, 3, 2, 2]], [[2, 3, 7, 8, 6, 1, 7, 2], [2, 3, 7, 8, 6, 1, 7, 2]], [[9, 6, 0, 0, 0], [9, 6, 0, 0, 0]], [[5, 2, 2, 4, 7, 9, 2], [5, 2, 2, 4, 7, 9, 2]], [[3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3], [3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3]], [[1, 1, 2, 1, 1, 1, 1, 1, 2], [1, 1, 2, 1, 1, 1, 1, 1, 2]], [[9, 11, 11], [9, 11, 11]], [[0, 9, 11, 9], [0, 9, 11, 9]], [[10, 1], [10, 1]], [[2, 2, 2, 9, 2, 14], [2, 2, 2, 9, 2, 14]], [[9, 1, 1, 9], [9, 1, 1, 9]], [[5, 2, 8, -1], [5, 2, 8, -1]], [[10, 9, 2, 11, 9], [10, 9, 2, 11, 9]], [[2, 2, 2, 2, 2, 3, 2], [2, 2, 2, 2, 2, 3, 2]], [[13, 5, 11, 11, 1], [13, 5, 11, 11, 1]], [[2, 2, 2, 2, 1, 3, 2], [2, 2, 2, 2, 1, 3, 2]], [[8, 10, 10, 13, 10, 10], [8, 10, 10, 13, 10, 10]], [[-1, 5, 7, 1, 3, 10, 6, 7, 3, 5, 10], [-1, 5, 7, 1, 3, 10, 6, 7, 3, 5, 10]], [[2, 2, 2, -1, 0, 2, 1, 3, 2, -1, 1], [2, 2, 2, -1, 0, 2, 1, 3, 2, -1, 1]], [[1, 1, 1, 2, 1], [1, 1, 1, 2, 1]], [[2, 2, 2, -1, 0, 2, 1, 3, 2, -1, 1, -1, 2, 2], [2, 2, 2, -1, 0, 2, 1, 3, 2, -1, 1, -1, 2, 2]], [[2, 2, 11, 2, 2, 2, 2], [2, 2, 11, 2, 2, 2, 2]], [[2, 2, 2, 5, 2, 2], [2, 2, 2, 5, 2, 2]], [[1, 5, 7, 1, 3, 10, 6, 7, 3, 5, 7], [1, 5, 7, 1, 3, 10, 6, 7, 3, 5, 7]], [[8, 9, 11, 13, 13, 11], [8, 9, 11, 13, 13, 11]], [[1, 2, 7], [1, 2, 7]], [[10, 13, 13], [10, 13, 13]], [[5, 2, 8, 4, 8, 7, 2], [5, 2, 8, 4, 8, 7, 2]], [[1, 1, 1, 1], [2, 2]], [[9, 10, 5, 11, 10, 10], [9, 10, 5, 11, 10, 10]], [[8, 2, 8, 5, 8, 1, 8], [8, 2, 8, 5, 8, 1, 8]], [[3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 2, 6, 6, 2], [3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 2, 6, 6, 2]], [[2, 0, 8, 1, 2], [2, 0, 8, 1, 2]], [[9, 12, 11], [9, 12, 11]], [[-1, 10, 9], [-1, 10, 9]], [[2, 2, 2, 9, 0, 2, 14], [2, 2, 2, 9, 0, 2, 14]], [[3, 12, 11, 12, 12, 12], [3, 12, 11, 12, 12, 12]], [[1, 5, 7, 1, 3, 6, 7, 7], [1, 5, 7, 1, 3, 6, 7, 7]], [[9, 8, 11, 13], [9, 8, 11, 13]], [[3, 2, 2, 14, 2, 2, 2, 2, 2, 3, 2, 2], [3, 2, 2, 14, 2, 2, 2, 2, 2, 3, 2, 2]], [[2, 2, 11, 3, 2, 2, 2, 2, 2, 2], [2, 2, 11, 3, 2, 2, 2, 2, 2, 2]], [[9, 10, 1, 11, 10, 10], [9, 10, 1, 11, 10, 10]], [[1, 1, 2, 1, 7, 1], [1, 1, 2, 1, 7, 1]], [[3, 2, 2, 2, 2, 2, 2, 2, 6, 2, 2, 2, 2], [3, 2, 2, 2, 2, 2, 2, 2, 6, 2, 2, 2, 2]], [[10, 5, 11], [10, 5, 11]], [[5, 5, 6, 7, 8], [5, 5, 6, 7, 8]], [[2, 6, 8, 2, 10, 4, 6], [2, 6, 8, 2, 10, 4, 6]], [[1, 1, 2, 1], [1, 1, 2, 1]], [[2, 2, 5, 2, 2, 2, 2, 1, 2], [2, 2, 5, 2, 2, 2, 2, 1, 2]], [[3, 3, 6, 13, 7, 11, 11, 6, 11], [3, 3, 6, 13, 7, 11, 11, 6, 11]], [[11, 0, 3, 12], [11, 0, 3, 12]], [[3, 4, 13, 8, 5, 11, 5], [3, 4, 13, 8, 5, 11, 5]], [[9, 0, 10, 1, 11], [9, 0, 10, 1, 11]], [[2, 2, 2, 2, 9, 2, 2, 2], [2, 2, 2, 2, 9, 2, 2, 2]], [[9, 11, 11, 1, 13, 1], [9, 11, 11, 1, 13, 1]], [[2, 2, 2, 1, -1, 0, 2, 1, 3, 2, -1, 1], [2, 2, 2, 1, -1, 0, 2, 1, 3, 2, -1, 1]], [[3, 2, 0, 2, 2, 2, 2, 2, 6, 2, 2], [3, 2, 0, 2, 2, 2, 2, 2, 6, 2, 2]], [[1, 5, 5, 8, 1], [2, 4, 6, 8]], [[3, 13, 7, 11, 7, 11, 13], [3, 13, 7, 11, 7, 11, 13]], [[5, 2, 0, 8], [5, 2, 0, 8]], [[7, 5, 2, 8, 1, 8, 7, 2], [7, 5, 2, 8, 1, 8, 7, 2]], [[8, 10, 11, 13, 8], [8, 10, 11, 13, 8]], [[9, 2, 10, 13, 9], [9, 2, 10, 13, 9]], [[14, 1, 3, 1], [14, 1, 3, 1]], [[9, 1, 1, 2], [9, 1, 1, 2]], [[9, 5, 11, 5], [9, 5, 11, 5]], [[2, 2, 2, 1, -1, 4, 2, 1, 3, 2, -1, 1], [2, 2, 2, 1, -1, 4, 2, 1, 3, 2, -1, 1]], [[1, 1, 1, 1], [0, 1, 2, 2, 2, 2, 2, 2, 2]], [[-1, 4, 6, 8, 7], [-1, 4, 6, 8, 7]], [[0, 1, 1, 9, 1, 1], [0, 1, 1, 9, 1, 1]], [[9, 6, 11, 13, 10, 10, 6], [9, 6, 11, 13, 10, 10, 6]], [[8, 2, 6, 1, 5, 8], [8, 2, 6, 1, 5, 8]], [[11, 13, 5, 11, 13], [11, 13, 5, 11, 13]], [[1, 7, 1, 3, 1, 6, 7, 3, 3, 5, 7], [1, 7, 1, 3, 1, 6, 7, 3, 3, 5, 7]], [[3, 4, 13, 11, 5, 10, 11, 11], [3, 4, 13, 11, 5, 10, 11, 11]], [[11, 0, 3, 0], [11, 0, 3, 0]], [[13, 9, 4, 13], [13, 9, 4, 13]], [[9, 2, 13], [9, 2, 13]], [[3, 3, 6, 5, 13, 7, 11, 11, 6, 4], [3, 3, 6, 5, 13, 7, 11, 11, 6, 4]], [[8, 11, 10, 10, 11, 13, 8], [8, 11, 10, 10, 11, 13, 8]], [[5, 1, 3, 5, 7, 3, 2, 7, 3, 2], [5, 1, 3, 5, 7, 3, 2, 7, 3, 2]], [[2, 2, 3, 2, 2, -1, 2, 2, 2], [2, 2, 3, 2, 2, -1, 2, 2, 2]], [[4, 3, 3], [4, 3, 3]], [[2, 2, 2, 2, 2, 9, 2], [2, 2, 2, 2, 2, 9, 2]], [[3, 12, 4, 4, 13, 11, 5, 10, 11], [3, 12, 4, 4, 13, 11, 5, 10, 11]], [[13, 9, 13], [13, 9, 13]], [[11, 10, 2], [11, 10, 2]], [[-1, 2, 11, 13], [-1, 2, 11, 13]], [[2, 4, 6, 7, 2, 4, 6, 8], [2, 4, 6, 7, 2, 4, 6, 8]], [[9, 11, 10, 10, 9, 11, 13], [9, 11, 10, 10, 9, 11, 13]], [[1, 1, 11, 12, 4, 1, 1], [1, 1, 11, 12, 4, 1, 1]], [[11], [11]], [[9, 6, 11, 13, 7, 10, 9], [9, 6, 11, 13, 7, 10, 9]], [[2, 2, 5, 1, 2, 2, 2, 2, 2], [2, 2, 5, 1, 2, 2, 2, 2, 2]], [[3, 2, 0, 2, 2, 6, 2, 2, 6, 2], [3, 2, 0, 2, 2, 6, 2, 2, 6, 2]], [[5, 14, 4, 1], [5, 14, 4, 1]], [[1, 1, 1, 1, 1, 1, 1], [2, 2, 5, 2, 2, 2, 2, 2]], [[8, 1, 5, 1], [8, 1, 5, 1]], [[3, 2, 5, 2, 2, 2, 2, 2, 2], [3, 2, 5, 2, 2, 2, 2, 2, 2]], [[7, 0, 10, 5, 2, 11], [7, 0, 10, 5, 2, 11]], [[1, 5, 1, 3, 10, 6, 9, 7, 3, 5], [1, 5, 1, 3, 10, 6, 9, 7, 3, 5]], [[2, 2, 11, 4, 2, 2, 3, 2, 4], [2, 2, 11, 4, 2, 2, 3, 2, 4]], [[9, 11, 13, 11], [9, 11, 13, 11]], [[9, 0, 10, 11], [9, 0, 10, 11]], [[1, 5, 1, 3, 10, 6, 9, 7, 9, 3, 5], [1, 5, 1, 3, 10, 6, 9, 7, 9, 3, 5]], [[2, 2, 2, 2, 2, 2, 2], [1, 1, 1, 1, 1]], [[9, 6, 11, 13, 7, 13, 10, 9], [9, 6, 11, 13, 7, 13, 10, 9]], [[5, 2, 8, 0, 8, 1, 0], [5, 2, 8, 0, 8, 1, 0]], [[11, 13, 14, 9, 9], [11, 13, 14, 9, 9]], [[10, 11, 13, 11], [10, 11, 13, 11]], [[11, 4, 6, 10, 11], [11, 4, 6, 10, 11]], [[1, 2, 1, 1, 7, 1], [1, 2, 1, 1, 7, 1]], [[2, 2, 2, -1, 2, 1, 3, 2, -1, 1], [2, 2, 2, -1, 2, 1, 3, 2, -1, 1]], [[2, 3, 7, 8, 6, 7, 13, 7, 2], [2, 3, 7, 8, 6, 7, 13, 7, 2]], [[9, 6, 0, 4, 0, 9], [9, 6, 0, 4, 0, 9]], [[2, 6, 8, 2, 10, 6, 2], [2, 6, 8, 2, 10, 6, 2]], [[1, 5, 7, 6, 1, 3, 10, 6, 1, 3, 5], [1, 5, 7, 6, 1, 3, 10, 6, 1, 3, 5]], [[8, 10, 11, 13, 8, 13], [8, 10, 11, 13, 8, 13]], [[2, 1, 2, 2, 9, 2], [2, 1, 2, 2, 9, 2]], [[9, 11, 9, 2, 13], [9, 11, 9, 2, 13]], [[5, 13, 14, 9, 14, 9], [5, 13, 14, 9, 14, 9]], [[1, 9, 11, 12, 9], [2, 4, 6, 8]], [[7, 10, 5, 2, 11], [7, 10, 5, 2, 11]], [[2, 6, 8, 2, 10, 3, 6, 8], [2, 6, 8, 2, 10, 3, 6, 8]], [[9, 5, 11], [9, 5, 11]], [[3, 14, 5, 11, 11, 13], [3, 14, 5, 11, 11, 13]], [[1, 5, 1, 3, 10, 6, 9, 4, 7, 3, 5], [1, 5, 1, 3, 10, 6, 9, 4, 7, 3, 5]], [[5, 1, 8, 1, 8, 7, 2], [5, 1, 8, 1, 8, 7, 2]], [[11, 8, 2, 13], [11, 8, 2, 13]], [[10, 9, 2, 3, 11, 9], [10, 9, 2, 3, 11, 9]], [[3, 4, 13, 8, 5, 11, 5, 3], [3, 4, 13, 8, 5, 11, 5, 3]], [[2, 2, 1, 2, 1, 2], [2, 2, 1, 2, 1, 2]], [[1, 1, 2, 1, 1], [1, 1, 2, 1, 1]], [[3, 4, 13, 11, 5, 11, 5], [3, 4, 13, 11, 5, 11, 5]], [[9, 11, 0, 0, 0], [9, 11, 0, 0, 0]], [[11, 3], [11, 3]], [[14, 2, 3, 1, 2], [14, 2, 3, 1, 2]], [[1, 1, 2, 1, 1, 1], [1, 1, 2, 1, 1, 1]], [[1, 5, 6, 1, 4, 5, 7, 3, 5, 1, 1], [1, 5, 6, 1, 4, 5, 7, 3, 5, 1, 1]], [[3, 2, 2, 2, 2, 2, 2, 8, 2, 3, 2], [3, 2, 2, 2, 2, 2, 2, 8, 2, 3, 2]], [[2, 2, 2, 1, -1, 0, 2, 1, 3, 2, -1, 8, 1], [2, 2, 2, 1, -1, 0, 2, 1, 3, 2, -1, 8, 1]], [[2, 2, 2, 2], [1, 1, 0, 1, 1]], [[8, 10, 11, 0, 13, 8], [8, 10, 11, 0, 13, 8]], [[3, 11, 13, 5, 11, 11, 13, 13], [3, 11, 13, 5, 11, 11, 13, 13]], [[-1, 1, 5, 7, 1, 3, 10, 6, 7, 3, 5, 10, 10], [-1, 1, 5, 7, 1, 3, 10, 6, 7, 3, 5, 10, 10]], [[11, 13, 5, 11, 13, 11], [11, 13, 5, 11, 13, 11]], [[9, 1, 1, 1, 11, 2, 1, 1, 11], [9, 1, 1, 1, 11, 2, 1, 1, 11]], [[1, 1, 2, 1, 2], [1, 1, 2, 1, 2]], [[0, 1, 9, 1, 1], [0, 1, 9, 1, 1]], [[1, 1, 4, 1, 1, 1, 1, 1, 1, 1], [1, 1, 4, 1, 1, 1, 1, 1, 1, 1]], [[10, 2, 11, 10, 11], [10, 2, 11, 10, 11]], [[9, 4, 11, 5, 9], [9, 4, 11, 5, 9]], [[3, 0, 11, 13, 12, 5, 11, 11, 13, 13], [3, 0, 11, 13, 12, 5, 11, 11, 13, 13]], [[2, 8, 2, 10, 3, 6, 8, 7], [2, 8, 2, 10, 3, 6, 8, 7]], [[14, 3, 12, 11, 12, 12, 12, 12], [14, 3, 12, 11, 12, 12, 12, 12]], [[12, 9, 11, 10, 9, 12], [12, 9, 11, 10, 9, 12]], [[4, 9, 11, 0, 0, 0], [4, 9, 11, 0, 0, 0]], [[8, 0, 8], [8, 0, 8]], [[2, 2, 5, 2, 2, 2, 2, 3, 1, 2], [2, 2, 5, 2, 2, 2, 2, 3, 1, 2]], [[9, 5, 11, 5, 5], [9, 5, 11, 5, 5]], [[10, 11, 13, 14, 10, 9], [10, 11, 13, 14, 10, 9]], [[8, 9, 11, 2, 11], [8, 9, 11, 2, 11]], [[1, 1, 1, 1, 7], [2, 2, 1, 2, 1, 2]], [[1, 2, 1, 7, 1], [1, 2, 1, 7, 1]], [[9, 1, 11, 11, 1, 13], [9, 1, 11, 11, 1, 13]], [[3, 2, 2, 2, 2, 2, 8, 2, 3, 2], [3, 2, 2, 2, 2, 2, 8, 2, 3, 2]], [[3, 13, 7, 11, 12, 13], [3, 13, 7, 11, 12, 13]], [[5, 2, 8, 0, 0], [5, 2, 8, 0, 0]], [[2, 4, 13, 6], [2, 4, 13, 6]], [[2, 3, 7, 8, 6, 7, 7, 2, 8], [2, 3, 7, 8, 6, 7, 7, 2, 8]], [[9, 14, 11, 13, 9], [9, 14, 11, 13, 9]], [[9, 11, 13, 2], [9, 11, 13, 2]], [[8, 14, 11, 13, 9], [8, 14, 11, 13, 9]], [[1, 5, 5], [1, 5, 5]], [[2, 2, -1, 5, 2, 2, 2, 2, 2, 2, 2], [2, 2, -1, 5, 2, 2, 2, 2, 2, 2, 2]], [[2, 2, 11, 2, 2, 2, 1, 2], [2, 2, 11, 2, 2, 2, 1, 2]], [[2, 8, 0, 8, 8], [2, 8, 0, 8, 8]], [[3, 12, 13], [3, 12, 13]], [[2, 2, 2, 2, 13, 2], [2, 2, 2, 2, 13, 2]], [[13, 11, 13, 13], [13, 11, 13, 13]], [[9, 10, 5, 12, 11, 10, 10, 10], [9, 10, 5, 12, 11, 10, 10, 10]], [[14, 2, 3, 1], [14, 2, 3, 1]], [[2, 8, 2, 10, 3, 6, 8, 7, 7], [2, 8, 2, 10, 3, 6, 8, 7, 7]], [[3, 2, 2, 2, 2, 2, 2, 3, 2, 2], [3, 2, 2, 2, 2, 2, 2, 3, 2, 2]], [[3, 2, 2, 2, 2, 1, 3, 2], [3, 2, 2, 2, 2, 1, 3, 2]], [[2, 2, 9, 0, 2, -1, 14], [2, 2, 9, 0, 2, -1, 14]], [[3, 4, 13, 3, 6, 10, 5, 11, 5, 3], [3, 4, 13, 3, 6, 10, 5, 11, 5, 3]], [[5, 2, 0, 1, 5, 1], [5, 2, 0, 1, 5, 1]], [[-1, 5, 2, 8, 1, 5], [-1, 5, 2, 8, 1, 5]], [[12, 9, 11, 10, 4, 9, 12], [12, 9, 11, 10, 4, 9, 12]], [[1, 7, 1, 3, 1, 6, 7, 3, 3, 5, 7, 7], [1, 7, 1, 3, 1, 6, 7, 3, 3, 5, 7, 7]], [[9, 12, 11, 12, 11, 9], [9, 12, 11, 12, 11, 9]], [[10, 11, 1], [10, 11, 1]], [[1, 1, 1, 1, 2, 1], [1, 1, 1, 1, 2, 1]], [[3, 13, 7, 11, 12, 13, 11], [3, 13, 7, 11, 12, 13, 11]], [[-1, 4, 6, 8, 8, 7], [-1, 4, 6, 8, 8, 7]], [[3, 0, 11, 13, 12, 5, 11, 11, 13, 13, 11], [3, 0, 11, 13, 12, 5, 11, 11, 13, 13, 11]], [[1, 7], [1, 7]], [[1, 1, 2, 7, 1], [1, 1, 2, 7, 1]], [[11, 13, 9, 9], [11, 13, 9, 9]], [[1, 1, 2, 1, 1, 7], [2, 2, 1, 2, 1, 2]], [[9, 8, 11, 13, 9], [9, 8, 11, 13, 9]], [[2, 2, 5, 1, 2, 2, 2, 2, 3, 2], [2, 2, 5, 1, 2, 2, 2, 2, 3, 2]], [[2, 2, 2, 3, 2, 3, 2, 2], [2, 2, 2, 3, 2, 3, 2, 2]], [[8, -1, 8, 8], [8, -1, 8, 8]], [[2, 2, 2, 2, 3, 3, 2, 2], [2, 2, 2, 2, 3, 3, 2, 2]], [[12, 9, 11, 10, 13, 8], [12, 9, 11, 10, 13, 8]], [[1, 0, 1, 1, 1, 1, 1], [1, 0, 1, 1, 1, 1, 1]], [[10, 10, 9], [10, 10, 9]], [[-1, 4, 0, 6, 8, 8, 7], [-1, 4, 0, 6, 8, 8, 7]], [[0, 1, 9, 1], [0, 1, 9, 1]], [[9, 11, 2, 14, 14], [9, 11, 2, 14, 14]], [[1, 2, 1, 1, 7, 1, 1], [1, 2, 1, 1, 7, 1, 1]], [[1, 1, 12], [2, 2, 1, 2]], [[5, 2, 11, 13], [5, 2, 11, 13]]]
results = ['YES', 'NO', 'YES', 'YES', 'NO', 'NO', 'YES', 'YES', 'YES', 'YES', 'YES', 'NO', 'YES', 'YES', 'YES', 'NO', 'NO', 'NO', 'YES', 'NO', 'NO', 'NO', 'YES', 'NO', 'YES', 'YES', 'NO', 'NO', 'YES', 'NO', 'NO', 'NO', 'YES', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'YES', 'NO', 'NO', 'NO', 'NO', 'YES', 'YES', 'NO', 'NO', 'NO', 'YES', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'YES', 'NO', 'YES', 'YES', 'NO', 'YES', 'NO', 'YES', 'NO', 'NO', 'YES', 'NO', 'YES', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'YES', 'NO', 'YES', 'NO', 'NO', 'NO', 'NO', 'YES', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'YES', 'YES', 'NO', 'NO', 'YES', 'YES', 'YES', 'YES', 'NO', 'YES', 'YES', 'YES', 'YES', 'YES', 'YES', 'YES', 'YES', 'YES', 'YES', 'YES', 'YES', 'YES', 'YES', 'NO', 'NO', 'NO', 'NO', 'YES', 'YES', 'YES', 'NO', 'YES', 'YES', 'NO', 'YES', 'YES', 'NO', 'NO', 'NO', 'YES', 'YES', 'YES', 'YES', 'NO', 'NO', 'YES', 'YES', 'YES', 'NO', 'NO', 'YES', 'YES', 'YES', 'YES', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'YES', 'NO', 'YES', 'NO', 'YES', 'NO', 'YES', 'YES', 'NO', 'NO', 'YES', 'NO', 'YES', 'NO', 'NO', 'NO', 'YES', 'NO', 'NO', 'NO', 'NO', 'YES', 'NO', 'YES', 'YES', 'YES', 'YES', 'NO', 'YES', 'YES', 'NO', 'YES', 'NO', 'NO', 'YES', 'YES', 'YES', 'NO', 'YES', 'NO', 'NO', 'YES', 'YES', 'YES', 'NO', 'YES', 'NO', 'YES', 'NO', 'NO', 'YES', 'YES', 'YES', 'NO', 'YES', 'YES', 'YES', 'YES', 'YES', 'NO', 'YES', 'YES', 'YES', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'YES', 'NO', 'YES', 'YES', 'NO', 'NO', 'NO', 'NO', 'NO', 'YES', 'YES', 'YES', 'YES', 'YES', 'YES', 'YES', 'YES', 'NO', 'NO', 'YES', 'NO', 'YES', 'NO', 'YES', 'NO', 'YES', 'YES', 'NO', 'YES', 'YES', 'NO', 'NO', 'YES', 'YES', 'YES', 'YES', 'NO', 'NO', 'YES', 'NO', 'NO', 'NO', 'NO', 'YES', 'NO', 'YES', 'NO', 'YES', 'YES', 'NO', 'NO', 'NO', 'NO', 'YES', 'YES', 'YES', 'YES', 'NO', 'NO', 'NO', 'YES', 'NO', 'NO', 'NO', 'NO', 'YES', 'NO', 'NO', 'YES', 'NO', 'YES', 'NO', 'NO', 'YES', 'YES', 'YES', 'NO', 'YES', 'NO', 'YES', 'YES', 'YES', 'YES', 'YES', 'YES', 'NO', 'NO', 'NO', 'NO', 'YES', 'YES', 'NO', 'NO', 'YES', 'YES', 'YES', 'YES', 'YES', 'NO', 'YES', 'YES', 'NO', 'NO', 'YES', 'NO', 'YES', 'YES', 'NO', 'YES', 'YES', 'NO', 'YES', 'YES', 'YES', 'NO', 'NO', 'YES', 'NO', 'NO', 'YES', 'NO', 'NO', 'YES', 'NO', 'YES', 'YES', 'NO', 'YES', 'YES', 'YES', 'NO', 'YES', 'YES', 'NO', 'NO', 'NO', 'NO', 'YES', 'YES', 'YES', 'NO', 'NO', 'YES', 'YES', 'NO', 'YES', 'NO', 'NO', 'YES', 'NO', 'YES', 'NO', 'NO', 'YES', 'YES', 'YES', 'YES', 'NO', 'YES', 'YES', 'NO', 'YES', 'NO', 'YES', 'YES', 'YES', 'NO', 'NO', 'YES', 'NO', 'YES', 'YES', 'YES', 'YES', 'YES', 'YES', 'YES', 'NO', 'YES', 'YES', 'NO', 'YES', 'YES', 'NO', 'NO', 'NO', 'NO', 'YES', 'YES', 'NO', 'YES', 'YES', 'NO', 'NO', 'NO', 'YES', 'NO', 'NO', 'YES', 'YES', 'YES', 'NO', 'NO', 'NO', 'YES', 'NO', 'YES', 'YES', 'YES', 'YES', 'YES', 'NO', 'YES', 'YES', 'NO', 'YES', 'NO', 'NO', 'NO', 'YES', 'YES', 'YES', 'NO', 'YES', 'NO', 'YES', 'YES', 'NO', 'YES', 'YES', 'NO', 'NO', 'YES', 'YES', 'NO', 'YES', 'YES', 'NO', 'NO', 'NO', 'YES', 'YES', 'YES', 'NO', 'YES', 'YES', 'YES', 'YES', 'NO', 'YES', 'NO', 'YES', 'YES', 'YES', 'YES', 'YES', 'YES', 'NO', 'NO', 'NO', 'YES', 'YES', 'YES', 'NO', 'NO', 'YES', 'YES', 'NO', 'YES', 'NO', 'NO', 'YES', 'YES', 'YES', 'YES', 'NO', 'NO', 'YES', 'NO', 'YES', 'NO', 'YES', 'NO', 'YES', 'NO', 'YES', 'YES', 'NO', 'YES', 'YES', 'NO', 'YES', 'YES', 'NO', 'NO', 'YES', 'NO', 'NO', 'NO', 'YES', 'YES', 'NO', 'NO', 'YES', 'YES', 'NO', 'YES', 'YES', 'YES', 'NO', 'NO', 'NO', 'YES', 'YES', 'YES', 'YES', 'NO', 'YES', 'YES', 'NO', 'NO', 'NO', 'YES', 'YES', 'NO', 'NO', 'NO', 'NO', 'NO', 'YES', 'YES', 'YES', 'NO', 'YES', 'YES', 'NO', 'NO', 'NO', 'YES', 'NO', 'YES', 'NO', 'YES', 'YES', 'YES', 'YES', 'YES', 'NO', 'NO', 'NO', 'YES', 'NO', 'NO', 'YES', 'NO', 'YES', 'YES', 'NO', 'NO', 'YES', 'YES', 'YES', 'NO', 'YES', 'YES', 'NO', 'NO', 'YES', 'NO', 'YES', 'YES', 'YES', 'YES', 'YES', 'NO', 'NO', 'NO', 'YES', 'YES', 'NO', 'YES', 'YES', 'YES', 'YES', 'YES', 'YES', 'NO', 'NO', 'YES', 'NO', 'YES', 'NO', 'YES', 'YES', 'YES', 'YES', 'YES', 'NO', 'YES', 'NO', 'NO', 'YES', 'YES', 'YES', 'NO', 'YES', 'YES', 'NO', 'NO', 'YES', 'YES', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'YES', 'YES', 'NO', 'YES', 'YES', 'NO', 'YES', 'YES', 'NO', 'NO', 'YES', 'YES', 'NO', 'NO', 'NO', 'YES', 'NO', 'NO', 'YES', 'YES', 'YES', 'NO', 'YES', 'NO', 'NO', 'YES', 'YES', 'NO', 'NO', 'YES', 'YES', 'NO', 'YES', 'NO', 'NO', 'YES', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'YES', 'NO', 'NO', 'YES', 'YES', 'YES', 'NO', 'NO', 'NO', 'YES', 'YES', 'YES', 'YES', 'NO', 'NO', 'YES', 'NO', 'YES', 'YES', 'NO', 'NO', 'YES', 'YES', 'NO', 'YES', 'YES', 'NO', 'NO', 'NO', 'NO', 'YES', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'YES', 'NO', 'YES', 'YES', 'YES', 'NO', 'NO', 'YES', 'YES', 'YES', 'YES', 'NO', 'YES', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'YES', 'YES', 'NO', 'NO', 'YES', 'YES', 'YES', 'NO', 'YES', 'YES', 'NO', 'YES', 'NO', 'YES', 'NO', 'YES', 'YES', 'NO', 'NO', 'YES', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'YES', 'NO', 'YES', 'NO', 'YES', 'YES', 'YES', 'YES', 'NO', 'YES', 'NO', 'NO', 'NO', 'YES', 'YES', 'NO', 'YES', 'NO', 'YES', 'YES', 'YES', 'YES', 'YES', 'YES', 'YES', 'NO', 'NO', 'NO', 'YES', 'YES', 'NO', 'YES', 'NO', 'YES', 'NO', 'YES', 'YES', 'NO', 'YES', 'NO', 'YES', 'YES', 'YES', 'NO', 'NO', 'NO', 'NO', 'YES', 'NO', 'YES', 'YES', 'YES', 'YES', 'NO', 'NO', 'YES', 'YES', 'NO', 'NO', 'YES', 'YES', 'YES', 'NO', 'YES', 'NO', 'NO', 'YES', 'NO', 'YES', 'NO', 'YES', 'NO', 'NO', 'YES', 'NO', 'YES', 'YES', 'YES', 'NO', 'YES', 'YES', 'YES', 'NO', 'NO', 'NO', 'NO', 'YES', 'YES', 'YES', 'NO', 'YES', 'YES', 'NO', 'NO', 'NO', 'YES', 'NO', 'NO', 'NO', 'YES', 'NO', 'YES', 'NO', 'YES', 'NO', 'NO', 'YES', 'NO', 'YES', 'NO', 'NO', 'NO', 'NO', 'YES', 'YES', 'YES', 'YES', 'NO', 'YES', 'YES', 'NO', 'YES', 'NO', 'YES', 'NO', 'YES', 'NO', 'YES', 'NO', 'NO', 'YES', 'NO', 'YES', 'NO', 'YES', 'YES', 'NO', 'YES', 'YES', 'NO', 'NO', 'YES', 'NO', 'YES', 'NO', 'NO', 'NO', 'NO', 'YES', 'NO', 'NO', 'YES', 'NO', 'NO', 'YES', 'NO', 'YES', 'NO', 'NO', 'YES', 'YES', 'YES', 'YES', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'YES', 'NO', 'NO', 'YES', 'YES', 'YES', 'YES', 'YES', 'YES', 'NO', 'YES', 'NO', 'NO', 'NO', 'NO', 'YES', 'NO', 'YES', 'YES', 'YES', 'NO', 'NO', 'NO', 'NO', 'YES', 'YES', 'YES', 'NO', 'YES', 'NO', 'YES', 'YES', 'YES', 'YES', 'YES', 'YES', 'NO', 'NO', 'NO', 'YES', 'NO', 'NO', 'NO', 'NO', 'NO', 'YES', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'YES', 'YES', 'YES', 'YES', 'YES', 'NO', 'YES', 'YES', 'NO', 'YES', 'NO', 'YES', 'NO']
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(exchange)
print('___SENTINEL___')
| 4921167459b8fd06341f1e16573e41bf |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-4
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-04, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[[1, 2, 3, 4], [1, 2, 3, 4]], [[1, 2, 3, 4], [1, 5, 3, 4]]]
results = ['YES', 'NO']
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(exchange)
print('___SENTINEL___')
| 4242f78762806e07fbd794bb5617ef7e |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-6
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-07, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [['a b b a'], ['a b c a b'], ['a b c d g'], ['r t g'], ['b b b b a'], [''], ['a'], ['x y z x y z x'], ['c a r s'], ['h e l l o'], ['a b b b b b'], ['p u z z l e'], ['a a a a a a a b b b b b b b'], ['c c c c b b b a a a'], ['p p p r r r'], ['a b c d e f g'], ['h i j j k l m m m n o o o o p'], ['a b b b b b'], ['h i j j k l m m m p'], ['a a a a a a a b b b b b b'], ['a b h i j j k l m m m n o o o o p'], ['h i j j k l m m m n o o o o p'], ['a b b b b b'], ['h i j j k l m m m n o o o o p'], ['a b c d e f g'], ['p l e'], ['h i j j k l m m m n o o o o p'], ['p u z l e'], [' p p p r r r'], [' p p p r r r'], ['a a a a a a a b b b b b b'], ['p l e'], ['h i j j k l m o o p'], [' p r'], ['a b b b b b b'], [' p '], ['a b c d e f g'], ['a b b b b'], ['h i j m m m p'], ['h i j j k l m p'], ['h i j j k l m o o '], ['h i j j k l m p'], ['a a a a a a a b b b'], ['a b b b b b'], [' p '], [' p p r r r'], ['h i j j k l m o '], ['h i j j k l m m m n o o o o p'], ['h i j j k l m o '], ['h i j j k l m o p'], ['x y z x y z x'], [' p h i j j k l m o '], ['h i j j k l m o '], ['a b c e f g'], ['c c c c b b b a a a'], ['p u z z l e'], ['h i j j k l m m m n o o o o p'], ['a b c d e p f g'], ['a b h i j j m m m n o o o o p'], ['x y z x y z x '], ['h i j j k l m m m n o o p'], ['a b b b b b'], ['h i j j k l m o '], ['p l h i j j k l m m m p e'], ['a b b b b b b'], ['h e'], ['h i j j k l m m m n o o o p'], ['p l h i j j k l m e'], [' p p p r r r p '], [' p p r r r'], ['a b c h i j j k l m o d e p f g'], ['p u z z e'], ['p u z z e'], ['p u z z l e'], [' p '], [' s'], ['h i j j k h i j j k l m o o p p p p r r r m m n o o o o p'], ['h i j m m m p'], ['p l h i j j k l m e'], [' p p r h i j j k l m m m n o o o o p r'], [' p'], [' a b b b b b'], [' a b b b b b'], [' a b b b b b'], ['h i j p p r r r j k l m'], ['c c c c b b a a'], [' p p p r r r'], [' r'], ['a b b b'], ['h i j m m m'], ['h i j j k l m o '], ['h i j j k h i j j k l m o o p p p p r r r m m n o o o o p'], ['a a a a a a a b b b b'], [' p p p r r r '], ['p l h i j j k l m e'], ['p p p r h i j j p p p r r r p k l m m m n o o o o p r u z z e'], ['a b c d e f g'], [' p'], [' p '], ['a a p h i j j k l m o a a a a a b b b b b b'], ['a a a a a a a b b b b b b'], [' p p '], ['p l e'], ['h i p p r h i j j k l m o o r r j k l m'], ['c a a a a b b d d d d f f f g h i'], ['p p q q q r r r s s s t t t u u u v v w w x x y y z z'], ['o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u u u u v v v v v v w w w w w w x x x x x x y y y y y z z z z z'], ['l m m m m m m m m n n n n n n n n n n n n n n o o p p q q r r s'], [' a a a a b b d d d d f f f g h i '], ['x y z x y z x y z x y z x y z x y z x y z x y z x'], [' a b c d e f a g g h h h i j j j k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y z'], ['a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g'], ['x y a a a b b d d d d f f f g h i i i i i j j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w'], [' x a b c d e f a g g h h h h i j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t'], ['h'], ['l'], ['x y a a a b b d d d d f f f g h i i i i i j j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w'], ['d'], ['u'], ['b'], [' a b c d e f a g g h h h i j j j k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y z'], ['p'], ['z'], ['x y a a a b b d d d d f f f g h i i i i i j j j j k k k k l l l l m n o p q r r r s s a a a a b b d d d d f f f g h i s s s s s t t t t t t t t u v w'], ['g'], ['x y a a a b b d d d d f f f g h i i i i i j j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w'], ['s'], ['x y a a a b b d d d d f f f g h i i i i i j j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w'], ['c'], ['x y a a a b b d d d d f f f g h i i i i i j j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w'], ['n'], ['v'], ['x y z x y z x y z x y z x y z x y z x y z x y z x'], ['f'], ['o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u u u u v v v v v v w w w w w w x x x x x x y a a a a b b d d d d f f f g h i y y y y z z z z z'], ['i'], [' a b c d e f a g g h h h i j j j k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y z'], [' a b k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y z'], [' x a b c d e f a g g h h h h i j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t'], ['t'], [' a b k k l l t t t t t t u v w x y z'], ['o'], ['x y a a a b b d d d d f f f g h i i i i i j j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w'], ['m'], ['o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u u u u v v v v v v w w w w w w x x x x y y z z z z z'], ['x y z x y z x y z x y z x y z x y z x y z x y z x'], [' a b k k l l t t t t t t u v w x y z'], ['w'], ['x y a a a b b d d d d f f f g h i i i i i j j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t t t x a b c d e f a g g h h h h i j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t v w'], ['x'], ['r'], ['j'], [' a b c d e f a g g h h h i j a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g m n o p q r r r s s s s s s s t t t t t t t t u v w x y z'], ['o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u u u u v v s x x x x y a a a a b b d d d d f f f g h i y y y y z z z z z'], [' a b c d e f a g g h h h i j j j k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y z'], ['e'], ['x y a a a b b d d d d f f f g h i i i i i j j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w'], ['l a a a a b b d d d d f f f g h i '], ['x y z x y z x y z x y z x y z z x y z x y z x'], [' x a b c d e f a g g h h h h i j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t'], ['x y a a a b b d d d d f f f g h i i i i i j j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t t t x a b c d e f a g g h h h h i j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t v w'], [' l a b k k l l t t t t t t u v w x y z'], [' x a b c d e f o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u u u u v v v v v v w w w w w w x x x x y y z z z z z a g g h h h h i j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t'], ['x y z x y z x y z x y z x y z x y z x y z x y z x'], [' a b c d e f a g g h h h i j j j k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y z x a b c d e f a g g h h h h i j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t'], ['x y z x y z x y x y z x'], [' x a b c d e f o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u u u u v v v v v v w w w w w w x x x x y y z z z z z a g g h h h h i j j j k k k k l l l l m n o p q r r s s s s s s s t t t t t'], [' x a b c d e f a g g h h h h i j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t'], ['l m m m m m m m m n n n n n n n n n n n n n p p q q r r s'], [' a b s s s s s t t t t t t t t u v w x y z'], ['x y a a a b b d d d d f f f g h i i i i i j j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t t t x a b c d e f a g g h h h h i j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t v w'], ['x y z x y z x y z l a a a a b b d d d d f f f g h i x y z x y z x y z x y z x y z x'], ['k'], [' x a b c d e f a g g h h h h i a b c d e f a g g h h h i j j j k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y z j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t'], ['l a a a a b b d d d d f f f g h i '], ['o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u u u u v v v v v v w w w w w w x x x z z'], ['l a a a a b b d d d d f f f g h i'], ['x y a a a o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u u u u v v v v v v w w w w w w x x x x y y z z z z z s s s s s s s t t t t t t t t u v w'], ['y'], [' x a b c d e f o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u u u u v v v v v v w w w w w w x x x x y y z z z z z a g g h h h h i j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t a a a a b b d d d d f f f g h i '], ['x y z x y z x y z x y z x y z x y z x'], [' x a b c d e f o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u u u u v v v v v v w w w w w w x x x x y y z z z z z a g g h h h h i j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t a a a a b b d d d d f f f g h i '], ['l a b b d d d d f f f g h i'], ['x y z x y z x y z x y z x y z x y z e y z x'], [' x a b c d e f a g g h h h h i j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t'], ['x y z x y z x y z o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u u u u v v v v v v w w w w w w x x x x x x y y y y y z z z z z y z e y z x'], ['x x y y z z'], [' a a a a b b d d d d f f f g h i '], [' x a b c d e f o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u u u u v v v v v v w w w w w w x x x x y s s t t t t t'], [' a a a a b b x y z x y z x y z l a a a a b b d d d d f f f g h i x y z x y z x y z x y z x y z x'], ['x y z x z x y z x y z x'], ['l a a a a b b d d d d f f f g h i '], ['x y a a a b b d d d d f f f g h i i i i i j j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t t t x a b c d e f x y a a a b b d d d d f f f g h i i i i i j j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t t t x a b c d e f a g g h h h h i j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t v w a g g h h h h i j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t v w'], [' a b k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y z'], ['x y a a a b b d d d d f f f g h i i i i i j j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w'], ['p p q q q r r r s s s t t t u u u v v w w x x y y z z'], ['o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u u u u v v v v v z'], ['x y z x y z x y z x y z x y z z x y z x y z x'], ['x y a a a b b d d d d f f f g h i i i i i j j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t t t x a b c d e f a g g h a b k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y z h h h i j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t v w'], ['x y a a a b b d d d d f f f g h i i i i i j j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t t t x j a b c d e f a g g h h h h i j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t v w'], ['o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u u u u v v v v v v w w w w w w x x x x x x y a a a a b b d d d d f f f g h i p y y y y z z z z z'], [' a b k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y z'], ['x y z x y z x y z x y z x y z z x y z x y z x'], [' x a b c d e f a g g h h h h i j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t'], [' a b a b s s s s s t t t t t t t t u v w x y z k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y z'], ['x y z x y z x y z x y z x y z z x y z x y z x'], ['x y a a a b b d d d d f f f g l m n o p q r r r s s s s s s s t t t t t t t t a b c d e f a g g h h h i j j j k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y z v w'], ['x y z x y z x y z x y z x y z z x y z x a b c d e f a g g h h h h i j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t x y z x'], [' x a b c d e f a g g h l a a a a b b d d d d f f f g h i h h h i j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t'], ['x y a a a b b d d d d f f f g h i i i i i j j j j k k k k l l l l m t t t u v w'], ['c a a a a i'], [' x a b c d e f o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u u u u v a b a b s s s s s t t t t t t t t u v w x 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k l l t t t t t t u v w x y z'], ['x y z x y z x y a b k k l l t t t t t t u v w x y z z x y z x y z x y z x y z x y z x'], [' x a b c d e f o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u u u u v a b a b s s s s s t t t t t t t t u v w x y z k k l l l l m n o p q r r r s s s s s s s t t x x y y z z z z z a g g h h h h i j j j k k k k l l l l m n o p q r r s s s s s s s t t t t t'], ['x y z x y z x y z x y z x y z z x y z x a b c d e f a g g h h h h i j j j k k k k l l m n o p q r r r s s s s s s s t t t t x y z x'], ['l a a a a b b f f g h i '], ['x y z x y z x y z x y z x y z x y z e y z '], ['c a a a a i a b c d e f a g g h h h i j j j k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y z'], ['x y z x y z x y z x y z z x y z x y z x y z x'], ['l f f f g h i '], ['x y z x y z x y z x y z x y z z x y z x y z x'], ['o o o o o o p p p p p p q q q q q q r r r r r x a b c d e f o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u u u u v a b a b s s s s s t t t t t t t t u v w x y z k k l l l l m n o p q r r r s s s s s s s t t x x y y z z z z z a g g h h h h i j j j k k k k l l l l m n o p q r r s s s s s s s t t t t t r s s s s s s t t t t t t u u u u u u v v v v v v w w w w w w x x x x x x y y y y y z z z z z'], ['x y a a a o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u u u u v v v v v v w w w w w w x x x x y y z z z z z s s s s s t t t t t t t t u v w'], [' a b k k l l t t t t l a a a a b b d d d d f f f g h i t t u v w x y z'], ['x y z x y z x y a b k k l l t t t t t t u v w x y z z x y z x y z x y z x y z x y z x'], ['x y z x y z x y z o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u u u u v v v v v v w w w w w w x x x x x x y y y y y z z z z z y z e y z x'], [' o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u u u u v v v v v v w w w w w w x x x x y y z z z z z a a a a b b d d d d f f f g h i '], ['x y a a a b b d d d d f f f g h i i i i i j j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w'], ['x y a a a b b d d d d f f f g h i i i i i j j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t t t x j a b c d e f a g g h h h j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t v w'], ['x y z x y z x y z x y z x y z z x a b c d e f a g g h h h i j a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g m n o p q r r r s s s s s s s t t t t t t t t u v w x y z y z x a b c d e f a g g h h h h i j j j k k k k l l m n o p q r r r s s s s s s s t t t t x y z x'], ['x y a a a b b d d d d f f f g h i i i i i j j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t t t x j a b c d e f a g g h h h h i j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t v w'], ['l a a a a b b f f g h i '], ['c a a a a b b d f g h i'], [' a b c d e f a g g h h h i j j j k k k l l l l m n o p q r r r s s s s s s s t t t t a b k k l l t t t t l a a a a b b d d d d f f f g h i t t u v w x y z t t t t u v w x y z'], ['l a a a a b b f f g i '], [' x a b c d e f o o o o o o p p p p p p q q q q q q r r r r r r s s s x a b c d e f a g g h h h h i j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t s s s t t t t t t u u u u u u v v v v v v w w w w w w x x x x y y z z z z z a g g h h h h i j j j k k k k l l l l m n o p q r r s s s s s s s t t t t t'], [' a b k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y z'], [' x a b c d e f o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u u u u v v v v v v w w w w w w x x x x y y z z z z z a g g h h h h i j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t a a x a b c d e f o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u u u u v v v v v v w w w w w w x x x x y y z z z z z a g g h h h h i j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t a a a a b b d d d d f f f g h i a a b b d d d d f f f g h i '], ['l a a a a b b d d d d f f f g h i '], ['x y z x y z x y z x y z x y z z x y z x a b c d e f a g g h h h h i j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t x y z x'], [' x a b c d e f o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u u u u v a b a b s s s s s t t t t t t t t u v w x y z k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y z v v v v v w w w w w w x x x x y y z z z z z a g g h h h h i j j j k k k k l l l l m n o p q r r s s s s s s s t t t t t'], ['l a a a a b b f f g i '], ['x y z x y z x y z x y z x y z z x a b c d e f a g g h h x y a a a b b d d d d f f f g h i i i i i j j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w h h i j j j k k k k l l m n o p q r r r s s s s s s s t t t t x y z x'], [' x a b c d e f o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u u u u v a b a b s s s s s t t t t t t t t u v w x y z k k l l l l m n o p q r r r s s s s s s s t t x x y y z z z z z a g g h h h h i j j j k k k k l l l l m n o p q r r s s s s s s s t t t t t'], [' a b k k l l t t t t t t u v w x y z'], ['x y a a a b b d d d d f f f g h i i i i i j j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t t t u v w'], [' x a b c d e f o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u u u u v a b a b s s s s s t t t t t t t t u v w x y z k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y z v v v v v w w w w w w x x x x y y z z z z z a g g h h h h i j j j k k k k l l l l m n o p q r r s s s s s s s t t t t t'], [' a b k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y z'], ['l a a a a b b d d d d f f f g h i '], [' x a b c d e f a g g h h h h i a b s s t t t t t t t t u v w x y z j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t'], ['x y a a a b b d d d d f f f g h i i i i i j j j j k k k k l l l l m n o p q r r r s a a a a b b x y z x y z x y z l a a a a b b d d d d f f f g h i x y z x y z x y z x y z x y z x s s s s s s t t t t t t t t u v w'], [' x a b c d e f o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u u u u v v v v v v w w w w w w x x x x y y z z z z z a g g h h h h i j j j k k k k l l l l m n o p q r r r s s s s s s s t t a b k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y z t t t'], ['x y a a a b b d d d d f f f g h i i i i i j j j j k s s s s t t t t t t t t u v w'], [' x a b c d e f o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u u u u v a b a b s s s s s t t t t t t t t u v w x y z k k l l l l m n o p q r r r s s s s s s s s t t t t t'], ['x y a a a b b d d d d f f f g h i i i i i j j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w'], [' x a b c d e f o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u u u u v v v v v v w w w w w w x x x x y y z z z z z a g g h h h h i j j j k k k k l l l l m n o p q r r r s s s s s s s t t a b k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y z t t t'], [' x a b c d e f o o o o o o p p p p p p q q q q q q r r r r r r s s s x a b c d e f a g g h h h h i j j j k k k k l l l l a a a a b b f f g i l m n o p q r r r s s s s s s s t t t t s s s t t t t t t u u u u u u v v v l l l m n o p q r r s s s s s s s t t t t t'], ['x y z x y z x y z l a a a a b b d d d d f f f g h i x y z x y z x y z x y z x y z x'], ['x y a a a b b d d d d f f f g h i i i i i j j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w'], ['x y z x y z x y z x y z x y z z x y z x y z x'], [' x a b c d e f a g g h h h h i a b c d e f a g g h h h i j j j k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y z j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t'], ['l a b b d d d d f f x a b c d e f o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u u u u v v v v v v w w w w w w x x x x y y z z z z z a g g h h h h i j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t a a x a b c d e f o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u u u u v v v v v v w w w w w w x x x x y y z z z z z a g g h h h h i j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t a a a a b b d d d d f f f g h i a a b b d d d d f f f g h i f g h i'], ['x y z x y z x y z x y z x y z x y z x y z x y z u x'], ['l a a a a b b a b k k l l t t t t t t u v w x y z f f g h i '], ['t a b k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y z'], ['x y a a a b b d d d d f f f g a a a a b b x y z x y z x y z l a a a a b b d d d d f f f g h i x y z x y z x y z x y z x y z x i i i i i j j j j k k k k l l l l m t t t u v w'], ['x y z x y z x y z o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u u u u v v v v v v w w w w w w x x x x x x y y y y y x a b c d e f o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u u u u v a b a b s s s s s t t t t t t t t u v w x y z k k l l l l m n o p q r r r s s s s s s s s t t t t t z z z z z y z e y z x'], [' a b k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v z'], ['x y z x y z x y a b k k l l t t t t t t u v w x y z z x y z x y z x y z x y z x y z a b k k l l t t t t t t u v w x y z'], [' x t t t t t'], ['x y z x y z x y z x y z x y z x'], ['x y z x y z x y z x y z x y z z x y z x y z x'], ['x y z x y z x y z x y z x y z z x a b c d e f a g g h h h i j a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g m n o p q r r r s s s s s s s t t t t t t t t u v w x y z y z x a b c d e f a g g h h h h i j j j k k k k l l m n o p q r r r s s s s s s s t t t t x y z x'], [' o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t u u u u u u v v v v v v w w w w w w x x x x y y z z z z z a a a a b x t t t t t b d d d d f f f g h i '], ['l f f f g h i '], ['x y z x y x a b c d e f a g g h h h h i j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t z x y z x y z x y z z x y z x y z x'], [' x a b c d e f o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u u u u v a b a b s s s s s t t t t t t t t u v w x y z k k l l l l m n o p q r r r s s s s s s s s t t t t t'], [' x a b c d e f o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u u u u v a b a b s s s s s t t t t t t t t u v w x y z k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y z v v v v v w w w w w w x x x x y y z z z z z a g g h h h h i j j j k k k k l l l l m n o p q r r s s s s s s s t t t t t'], ['o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u u u u v v v v v v w w w w z'], ['l a a a a b b a b k k l l t t t t t t u v w x y z f f g h i '], [' h x a b c d e f o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u u u u v a b a b s s s s s t t t t t t t t u v w x y z k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y z v v v v v w w w w w w x x x x y y z z z z z a g g h h h h i j j j k k k k l l l l m n o p q r r s s s s s s s t t t t t'], ['x y z x'], ['o o u u u v v v v v v w w w w w w x x x z z'], ['x y z x y z x y z x y z x y z x z x y z x y z x z x y z x y z x'], [' a b c d e f a g g h h h i j a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q s t u v w x y z a b c d e f g m n o p q r r r s s s s s s s t t t t t t t t u v w x y z'], ['x y z x y z x y z o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u u u u v v v v v v w w w w w w x x x x x x y y y y y z z z z z y z e y z x'], ['x z x'], ['x y z x y z x y z x y z z e y z x'], ['x y z x y z x y z o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t v v v v v w w w w w w x x x x x x y y y y y z z z z z y z e y z x'], ['s a b k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y z'], ['x y y z x y z x y z x y z x y z z x y z x y z x'], ['x y z x y z x y z x y z x y z z x y z x a b c d e f a g g h h h h i j j j k k k k l l l t x y z x'], ['l a a a a f f g h i '], ['x y z x y z x y z x y z x y z x y z a a a a b b x y z x y z x y z l a a a a b b d d d d f f f g h i x y z x y z x y z x y z x y z x x y z x y z x'], ['x y z x y z x y z o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t v v v v v w w w w w w x x x x x x y y y y y z z z z z y z e y z x'], [' a a a a c a a a a i a b c d e f a g g h h h i j j j k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y z h i '], ['p p q q q r r r s s s y y z z'], ['x y z x y z x y z x y z x y z x'], [' x a b c d e f o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u u u u v a b a b s s s s s t t t t t t t t u v w x y z k k l l l l m n o p q r r r s s s s s s s t t x x y y z z z z z a g g h h h h i j j j k k k k l l n o p q r r s s s s s s s t t t t t'], ['c a x a b c d e f o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u u u u v v v v v v w w w w w w x x x x y y z z z z z a g g h h h h i j j j k k k k l l l l m n o p q r r r s s s s s s s t t a b k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y z t t t a a a b b d f g h i'], ['x y z x x y z x y z x'], [' a b k k l l t t t t l a a a a b x y z x y z x y z x y z x y z x y z e y z u v w x y z'], [' x y z x y z x y z l a a a a b b d d d d f f f g h i x y z x y z x y z x y z x y z x x a b c d e f o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u u u u v a b a b s s s s s t t t t t t t t u v w x y z k k l l l l m n o p q r r r s s s s s s s t t x x y y z z z z z a g g h h h h i j j j k k k k l l l l m n o p q r r s s s s s s s t t t t t'], [' x a b c d e f o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u u u u v a b a b s s s s s t t t t t t t t u v w x y z k k l s t t t t t'], [' a b k k l l t t t t l a a a a b x y z x y z u v w x y z'], [' a b k k l l t t t t l a a a a b x y z x y z x y z x y z x y z x y y z'], ['x y z x y z x y z x y z x y z x y z x y z x'], ['x y z x y z x y z x y z x y z z x y z x a b c d e f a g g h h h h i j j j k k k k l l m n o p q r r r s s s s s s s t t t t x y z x'], ['x y z x y z x y z x y z x y z z x y z x y z x'], [' x a b c d e f o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u u u u v v v v v v w w w w w w x x x x y y z z z z z a g g h h h h i j j j k k k k l l l l m n o p q r r r s s s s s s s t t a b k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y z t t '], ['l a a a a b b a b k k l l t t t t t t u v w a b k k l l t t t t l a a a a b x y z x y z x y z x y z x y z x y z e y z u v w x y z x y z f f g h i '], ['x y z x y z x y z x y z x y z z x y z x a b c d e f a g g h h h h i j j j k k k k l l m n o p q r r r s t x y z x'], ['x l a a a a b b d d d d f f f g h i y z x y z x y x y z x'], ['c a x a b c d e f o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u u u u v v v v v v w w w w w w x x x x y y z z z z z a g g h h h h i j j j k k k k l l l l m n o p q r r r s s s s s s s t t a b k k l l l l m n o p q r r r s s s s s s s t t t t t t t a b k k l l t t t t t t u v w x y z t u v w x y z t t t a a a b b d f g h i'], ['x y a a a o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u u u u v v v v v v w w w w w w x x x x y y z z z z z s s s s u v w'], [' a b k x a b c d e f o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u u u u v a b a b s s s s s t t t t t t t t u v w x y z k k l s t t t t t k l l t t t t t t u v w x y z'], ['x y z x y z x y z o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s y z x'], ['o o u u u v v v v v v w w w w w'], ['p p s t t t u u u v v w w x x y y z z'], ['x y z x y z x y z x y z x y z z x a b c d e f a g g h h h i j a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g m n o p q r r r s s s s s s s t t t t t t t t u v w x y z y z x a b c d e f a g g h h h h i j j j k k k k l l m n o p q r r r s s s s s s s t t t t x y z x'], ['x y z x y z a b k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y z y z x y z x y z x y z x y z x y z u x'], [' x a b c d e f o t u u u u u u v a b a b s s s s s t t t t t t t t u v w x y z k k l s t t t t t'], ['x y z x y z x y a b k k l l t t t t t t u v w x y z z x y z x y z x y z x y z x y z x'], ['l f f f g h i '], [' a b k k l l l l m n o p q r r r s s s s s x a b c d e f a g g h h h h i a b s s t t t t t t t t u v w x y z j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v z'], ['c a a a a b b d d d d f f f g h i'], ['x y a a a b b d d d d f f f g a a a a b b x y z x y z x y z l a a a a b b d d d d f f f g h i x y z x y z x y z x y z x y z x i i i i i j j j j k k k k l l l l m t t t u v w a a a a b b a b k k l l t t t t t t u v w x y z f f g h i '], ['l a a a a b b f f g x y a a a b b d d d d f f f g h i i i i i j j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w i '], ['x y z x y z x y z x y z x y z x'], [' x a b c d e f o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u u u u v v v v v v w w w w w w x x x x y y z z z z z a g g h h h h i j j j k k k k l l l l m n o p q r r s s s s s s s t t t t t'], [' a b k k l l l l m n o p q r r r s s s s s s s v w x y z'], [' a b c d e f a g g h h h i j a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g m n o x a b c d e f o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u u u u v a b a b s s s s s t t t t t t t t u v w x y z k k l s t t t t t p q r r r s s s s s s s t t t t t t t t u v w x y z'], [' o o o v w w w w w w x x h i '], [' x t t t t t'], [' a b k k l l l l m n o t t t t u v w x y z'], ['o o o o o o p p p r r r s s s s s s t t t t t t u u u u u u v v v v v z'], [' x a b c d e f a g g h h h h i a b c d e f a g g h h h i j j j k k k l l l l m n o p q r r r s s s s s t t t t t'], [' x a b c d e f o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u u u u v v v v v v w w w w w w x x x x y y z z z z z a g g h h h h i j j j k k k k l l l l m n o p q r r s s s s s s s t t t t t'], ['x y z x y z x y z x y z x y z z x a b c d e f a g g h h h i j a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g m n o p q r r r s s s s s s s t t t t t t t t u v w x y z y z x a b c d e f a g g h h h h i j j j k k k k l l m n o p q r r r s s s s s s s t t t t x y z x'], ['l a a a a b b f f g '], ['x x'], ['l a a a a b b a b k k l l t t t t t t u v w x y z f f g h i '], ['x y a a a b b d d d d f f f g h i i i i i j j j j k k k k l l l l m n o p q r r r u v w'], [' a b c d e f a g g h h h i j j j k k k l l l l m n o a b k k l l t t t t t t u v w x y z p q r r r s s s s s s s t t t t t t t t u v w x y z'], [' x a b c d e f a g g h h h h i a b c d e f a g g h h h i j j j k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y z j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t'], [' x x a b c d e f o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u u u u v v v v v v w w w w w w x x x x y y z z z z z a g g h h h h i j j j k k k k l l l l m n o p q r r s s s s s s s t t t t t a b c d e f o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u u u u v v v v v v w w w w w w x x x x y y z z z z z a g g h h h h i j j j k k k k l l l l m n o p q r r r s s s s s s s t t a b k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y z t t '], ['x y z x y z x y z x y z x y z '], ['x y a a a b b d d d d f f f g h i i i i i j j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t t t x a b c d e f a g g h h h h i j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t v w'], ['c a a a a b b d f g h i'], [' x t t t t'], ['p p s t t t u u u v x a b c d e f o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u u u u v v v v v v w w w w w w x x x x y y z z z z z a g g h h h h i j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t v w w x x y y z z'], ['l a a a a '], [' a b k k l l t t t z'], ['p p s t t t u u u v x a b c d e f o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u q r r r s s s s s s s t t t t t v w w x x y y z z'], [' a b a b s s s s s t t t t t t t t u v w x y z a b s s s s s t t t t t t t t u v w x y z k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y z'], ['x y z x y z x x y z x y z x y z x y z x'], ['l p p q q q r r r s s s t t t u u u v v w w x x y y z z a a a a b b d d d d f f f g h i '], ['t a b k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y z'], [' x a b c d e f a g g h h h h i a b c d e f a g g h h h i j j j k k a b k k l l t t t t t t u v w x a b c d e f o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u u u u v v v v v v w w w w w w x x x x y y z z z z z a g g h h h h i j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t a a a a b b d d d d f f f g h i x y z o p q r r r s s s s s t t t t t'], ['x y z x z x y z x y x'], ['x y z x y z x y z x y z x y z z x y z x a b c d e f a g g h h h h i j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t x y z x'], ['x y z x y z x y z x y z x y z z x y z x y z x'], ['a a b b c c d d'], ['x x x x x'], ['a b c d a b c d a b c d'], [' a'], ['ä å ö'], [' x a b c d e f a g g t t'], [' x a b c d e f a g g t t'], ['l m m m m m m m m n n n n n n n n n n n n n n o o p p q q r r s'], [' x a b c d e f a g g t t'], ['c a a a a b b d d d d f f f g h i'], [' a b c d e f a g g h h h i j j j k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y '], [' g h i '], ['o o o o o o p p p p p p q q q q q q r r r r r r s s s s s y y y z z z z z'], ['x y a a a b b d d d d f f f g h i i i i i j j j j k k k k l l l l m n p q r r r s s s s s s s t t t t t t t t u v w'], ['c g h i '], [' o t x a b c d e f a g g t t'], [' a a a a b b d d d d f f f g h a b c d e f a g g h h h i j j j k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y '], [' x b a b c d e f a g g t t'], ['l m m m m m m m m n n n n n n n n n n n n n n o o p p q q r r s'], ['o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u u u u v v v v v v w w w w w w x x x x x x y y y y y z z z z z'], [' a b c d e f a g g h h h i j j j k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y z'], ['x y a a a b b d d d d f f f g h i i i i i j j j j k k k k l l l l m n p q r r r s s s s s s s t t t t t a b c d e f a g g h h h i j j j k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y z t t t u v w'], [' x a b c d e f a g g h h h h i j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t'], ['q'], [' o t x t a b c d e f a g g t t'], [' a a a a b b d d d d f f f g h i e'], ['o o o o o o p p p p p p q q q q q q r r r r r r s s s x a b c d e f a g g t t s s y y y z z z z z'], [' a a a a b b d d d d f f f g h i x a b c d e f a g g t t'], ['l m m m m m m m m n n n n n n n n n n n n n n o o p p q q r r s'], ['c a a a a b b d d d d f f f g h i'], [' a b c d e f a g g h h h i j j j k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y z'], ['o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u z z z z z'], ['a b c d e f z b c d e f g'], ['l m m m m m m m m n n n n n n n n n n n n m n n o o p p q q r r s'], [' a b c d e f a g g h h h i j j j k k k l l l l m n o p q r r r s s s t t t t t t t t u v w x y '], [' x b a b c d e f a t t'], [' x a b c d e f a g g t t'], [' x a b c d e f e a g g t t'], ['o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u z z z z z'], [' a b c d e f a g g h h h i j j j k k k l l l l m n o p v w x y '], ['o o o o a a a a b b d d d d f f f g h i x a b c d e f a g g t t o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u z z z z z'], ['o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u z z z z z'], ['o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u u u u v v v v v v w w w w w w x x x x x x y y y y y z z'], [' o o o o a a a a b b d d d d f f f g h i x a b c d e f a g g t t o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u z z z z z d e f a t t'], [' a b c d e f a g g h h h i j j j k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y z'], ['o o o o o o p p p p p p q q q q q q r r r r r s s s s s s t t t t t t u u z z z z z'], [' x a b c d e f a g g t'], ['o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t u u z z z z z'], [' o t x a b c d e f a g g t t'], [' x a b c d e f a g g t'], ['a b c d e f g x b a b c d e f a t t h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g'], ['l m m m m p p q q r r s'], [' a b c d e f a g g h h s s s t t t t t t t t u v w x y z'], ['x y a a a b b d d d d f f f g h i i i i i j j j j k k k k l l l l m n p q r r r s s s s s s s t z t t t u v w'], [' a b c d e f a g g h h h i j j j k k k l l l l m n o p q r r r s s s t t t t t t t t u v w x y '], [' x a b c d e f a g g t'], [' a b c d e f a g g h h h i j j j k k k l l l l m n o p q r r r s s s s s s s t t t t a a a a b b d d d d f f f g h a b c d e f a g g h h h i j j j k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y t t t t u v w x y z'], ['x y a a a b b d d d d f f f g h i i i i i j j j j j j k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y z t t t u v w'], ['o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u z z z z z'], ['l m m m m m m m m n n n n n n n n n n n n n n o o p p q q r r s'], ['l m m m m m m m m n n n n n n n n n n n n n n o o p p q q r r s'], [' g g h i '], ['o o o o a a a a b b d d d d f f f g h i x a b c d e f a g g t t o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u z z z z z'], ['o o o o b a a a a b b d d d d f f f g h i x a b c d e f a g g t t o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u z z z z z'], ['p p q q q r r r s s s t t t u u u v v g g h i w w x x y y z z'], [' o o o o a a a a b b d d d d f f f g h i x a b c d e f a g g t t o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u z z z z z d e f a t t'], [' a b c d e f a g g h h h i j j j k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y z'], [' x a b c d e f a g g t'], ['o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u u u u v v v v v v w w w w w w x x x x x x y y y y y z z'], [' o o o o a a a a b b d d d d f f f g h i x a b c d e f a g g t t o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u z z z z z d e f a t t'], ['d g h i '], ['o o o o b a a a a b b d d d d f f f g h i x a b c d e f a g g t t o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u z z z z'], ['o o o o o o p x x x x y y y y y z z'], ['p p q q r r r s s s t t t u u u v v w w x x y y z z'], ['o o o o o o p p p p p p q q q q q q r r r z z'], ['a x a b c d e f a g g h h h h i j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t'], ['p p q q r r r s s s t t t u u u v v w w x x y y z z'], ['l m m m m m m m m n n n n n n n n n n n n n n o o p p q o o o o o o p p p p p p q q q q q q r r r r r s s s s s s t t t t t t u u z z z z z q r r s'], ['p p q q r r r s s s t t t u x x y y z z'], ['x y a a a b b d d d d f f f g h i i i i i j j j j k k k k l l l l m n p q r r r s s s s s s s t t t t t a b c d e f a g g h h h i j j j k k k l l l l m n o a b c d e f a g g h h h i j j j k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y p q r r r s s s s s s s t t t t t t t t u v w x y z t t t u v w'], [' x b a b c d e f a g g t t'], ['l m m m m m m m m n n n n n n n n n n n n n n o o p p q o o o o o p p p p p p q q q q q q r r r r r s s s s s s t t t t t t u u z z z z z q r r s'], [' o o o o a a a a b b d d d d f f f g h i x a b c d e f a z s s t t t t t t u u z z z z z d e f a t t'], [' a b c d e f a g g h h h i j j j o o o o a a a a b b d d d d f f f a a a a b b d d d d f f f g h i w x y z'], [' x a b c d e f t'], [' x a b c d e f a g g t t'], [' x a b c d e f a g g t t'], [' o o o o a a a a b b d d d d f f f g h i x a b c d e f a g g t t o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u z z z z z d e f a t t'], [' x a b c d e f a t t'], ['l m m m m m m m m n n n n n n n n n n n n n n o o o o a a a a b b d d d d f f f g h i x a b c d e f a z s s t t t t t t u u z z z z z d e f a t t r r s'], ['d g h i d '], [' x a b c d e f a g g t t'], ['o o o o a a a a b b d d d d f f f g h i x a b c d e f a g g t t o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u z z z z z'], ['o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u z z z z z'], ['o o o o o o p p s s s s y y y z z z z z'], [' c d e f a g g t'], [' a b c d e f a g g h h h i j j j k k k l l l l m n o p q r r r s s s s s s s t t t t a a a a b b d d d d f f f g h a b c d j j j k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y t t t t u v w x y z'], [' x b a a a a a b b d d d d f f f g h a b c d e f a g g h h h i j j j k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y b c d e f a g g t t'], ['o o o o o o p p p p p p q q q q q q r r r a b s s s s s s t t t t a a a a b b d d d d f f f g h a b c d j j j k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y t t t t u v w x y z r r r s s s s s s t t t t t t u u u z z z z z'], ['l m m m o t x t a b c d e f a g g t t m m m m m n n n n n n n n n n n n n n o o p p q o o o o o p p p p p p q q q q q q r r r r r s s s s s s t t t t t t u u z z z z z q r r s'], [' x a g g t'], [' a b c d e f a g g h h h i j j j k k k l l l l m n o p q r r r s s s t t t t t t t t u v w x y '], ['p p q q q r r r s s s t t t u u u v v w w x x y y z z'], ['c a a a a b b d d d d f f f g h i'], ['o o o o a a a a b b d d d d f f f g h i x a b c d e f a g g t t o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u z z z z z'], [' a b c d e f a g g h h h s t t t t t t t t u v w x y '], ['o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u u u u v v v v v v w w w w w w x x x x x x y y y y y z z'], [' a b c d e f a g g t t'], [' c a a a a b b d d d d f f f g h i g h i '], ['o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u z z z z z'], [' x a b c d e f a g g h h h h i j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t'], ['l m m m m p p q q r r s'], ['o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u u u u v v v v x x x x y y y y y z z'], [' b c d e f a g g t t'], [' a b c d e f a g g t t'], [' a b f a g g h h h i j j j k k k l l l l m n o p q r r r s s s t t t t t t t t u v w x y '], ['o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t z z'], [' x a b c d e f a g g h h h i j j j o o o o a a a a b b d d d d f f f a a a a b b d d d d f f f g h i w x y z a b c d e f a g g t t'], ['d g h i d '], [' x a g g t'], ['x y a a a b b d d d d f f f g h i i i i i j j j j j j k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y z t t t u v w'], [' a a a a b b f f g h i e'], [' a b c d e f a g g h h h i j j j k k k l l l l m n o p q r r r s s s s s s s t t t t v a a a a b b d d d d f f f g h a b c d j j j k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y t t t t u v w x y z'], [' x o o o o a a a a b b d d d d f f f g h i x a b c d e f a z s s t t t t t t u u z z z z z d e f a t t a b c d e f a g g t t'], [' g h i '], [' f a g g h h h i j j j k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y z'], ['a x a b c d e f a g g h h h h i j j j k k k k l l l l m n o p q r r r s s s t t t t t'], [' x a b c d e f a t t'], [' a a a a e'], ['x y a a a b b d d j j j j k k k k l l l l m n p q r r r s s s s s s s t t t t t t t t v w'], [' p p q q r r r s s s t t t u u u v v w w x x y y z z a a a a b b d d d d f f f g h i '], [' a a a a b b d d d d f f f g h o o o o o o p p p p p p q q q q q q r r r a b s s s s s s t t t t a a a a b b d d d d f f f g h a b c d j j j k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y t t t t u v w x y z r r r s s s s s s t t t t t t u u u z z z z z '], [' x a g g x a b c d e f a g g h h h h i j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t'], ['o o o o o o p p p p p p q r r z z'], [' x a b c d e f g a g g t t'], [' b c d e f a g g g t t'], ['p p q q r r r s s s t t t u u u v v w a a a a b b f f g h i e w x x y y z z'], ['a x a b c d e f a g g h h h h i j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t'], ['x y a a a b b d d j j j j k k k k l l l l m n p q r r r s s s s s s s t t t t t t t t v a a a a b b d d d d f f f g h o o o o o o p p p p p p q q q q q q r r r a b s s s s s s t t t t a a a a b b d d d d f f f g h a b c d j j j k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y t t t t u v w x y z r r r s s s s s s t t t t t t u u u z z z z z w'], ['c a a a a b b x b a a a a a b b d d d d f f f g h a b c d e f a g g h h h i j j j k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y b c d e f a g g t t d d d d f f f g h i'], [' a b c d e f a g g h h h i j j j k k k l a b c d j j j k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y t t t t u v w x y z'], ['o o o o o o p p p p p p q q q q q q r r r r r s s s s s s t t t t t t u u z z z z z'], [' a b f a g g h h x a g g t h i j j j k k k l l l l m n o p q r r r s s s t t t t t t t t u v w x y '], [' a b f a g g h h x a g g t h i j j x a b c d e f a g g t t j k k k l l l l m n o p q r r r s s s t t t t t t t t u v w x y '], ['c a a a a b b d d d d f f f g h i'], [' a a a a b b d d t t'], [' p p q q r r r s s s t t t u u u v v w w x x y y z z a a a a b b d d d d f f f g h i '], [' a a a a b b d d d d f f f g h i e'], [' a c a a a a b b d d d d f f f g h i g h i f a g g t t'], ['a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v d e f g'], ['o o o o o o p x x a a a a e x x y y y y y z z'], [' a a a a b b d d d d f f a g g t t'], [' o o o o a a a a b b d d d d f f f g h i x a b c d e f a g g t t o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u z z z z z d e f a t t'], [' x x a g g t a b c d e f a g g t'], ['d g h i '], [' a a a a e'], ['l m m m o t x t a b c d e f a g g t t m m m m m n n n n n n n n n n n n n n o o p p q o o o o o p p p p p p q q q q q q r r r r r s s s s s s t t t t t t u u z z z z z q r r s'], ['o o o o a a a a b b d d d d f f f g h x a g g t r r r s s s s s s t t t t t t u u z z z z z'], ['x y a a a b b d d j j j j k k k k l l l l m n p q r r r s s s s s s s t t t t t t t t v w a b c d e f a g g t t'], ['o o o o a a a a b b d d d d f f f g h i x a b c d e f a g g t t o o p p p p p p q q q q q q r r z z'], [' g g h i x x a b c d e f a g g t t c d e f a g g t t'], [' o o o o a a a a b b d d d d f f f g h i x a b c d e f a g g t t o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u z z z z z d e f a t t'], ['o o o o o o p p p p x a b c d e f t p p q q q q q q r r r r r r s s s s s s t t t t t p p q q r r r s s s t t t u u u v v w w x x y y z z a a a a b b d d d d f f f g h i t u u u z z z z z'], ['a b c d e f g x b a b c d e f a t t h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g'], [' p p q a a a d d d f f f g h i '], ['c a a a a b b x b a a a a a b b d d d d f f f g h a b r s s s s s s s t t t t t t t t u v w x y b c d e f a g g t t d d d d f f f g h i'], [' o o o o a a a a b b d d d d f f f g h i x a b c d e f a g g t t o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t z z z d e f a t t'], [' x o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t u u z z z z z a b c d e f e a g g y t t'], [' a b c d t t t u v w x y '], [' a b c d e f a g g h h h s t t t t t t t t u v w x y '], [' o o o o a a a a b b d d d d f f f g h i x a b c d e f a z s s t t t t t t u u z z z z z d e f a t t'], [' n a b c d e f a g g t t'], [' a a a a b b f f g h i e'], ['o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u z a a a a b b d d d d f f f g h a b c d e f a g g h h h i j j j k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y z z z z'], ['o o o o o o p p p p p p q q q q q q r x b a b c d e f a t t r r r r r s s s s s s t t t t t t u u u z z z z z'], ['d g h i '], ['d x a b c d e f a g g t t g h i '], ['o o o o o o p p p p x a b c d e f t p p q q q q q q r r r r r r s s s s s s t t t t t p p q q r r r s s s t t t u u u v v w w x x y y z z a a a a b b d d d d f f f g h i t u u u z z z z z'], ['o o o o o o p p p p p p q q q q q q r r r r r s s s s s s t t t t t t u u z z z z'], ['p p q q q r r r s s s t t t u u u v v g g h i w w x x y y z z'], ['o o o o a a a a b b d d d d f f f g h i x a b c d e f a a g g t t o o p p p p p p q q q q q q r r z z'], ['o o o o o o p x x a a a a e x x y y y y y z z'], [' o o o o a a a a b b d d d d f f f g h i l m m m o t x t a b c d e f a g g t t m m m m m n n n n n n n n n n n n n n o o p p q o o o o o p p p p p p q q q q q q r r r r r s s s s s s t t t t t t u u z z z z z q r r s x a b c d e f a z s s t t t t t t u u z z z z z d e f a t t'], ['o o o o a a a a b b d d d d f f f g h i x a b c x b a a a a a b b d d d d f f f g h a b c d e f a g g h h h i j j j k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y b c d e f a g g t t d e f a g g t t o o p p p p p p q q q q q q r r z z'], [' a b c d e f a g g h h h i j j j k k k l l l l m n o p q r r r s s s s s s s t t t t a b c d t t t u v w x y v w x y z'], [' o o o o o o p p p p p p q q q q q q r r r r r s s s s s s t t t t t t u u z z z z x a b c d e f a g g t'], [' x b a a a a a b b d d d d f f t t t t t t t u v w x y b c d e f a g g t t'], [' x a b c j d e f a g g h h h h i j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t'], [' x f a g g t'], ['l m m m m p p q q r s'], ['p p q q q r r r s s s t t t u u u v v g g h i a b f a g g h h x a g g t h i j j j k k k l l l l m n o p q r r r s s s t t t t t t t t u v w x y w w x x y y z z'], [' o o o o a a a a b b d d d d f f f g h i x a b c d e f z z d e f a t t'], ['x y a a a b b d d d d f f f g h i i i i i j j j j k k k k l l l l m n p q r r o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u u u u v v v v x x x x y y y y y z z z t t t u v w'], [' x b a b c d e f a g g t t'], [' x x b a b c d e f a t t a b c d e f a g g t t'], ['p p q q q r r r s s s t t t u u u v v g g h i w w x x y y z z'], ['l m m m a a a a b b d d d d f f f g h o o o o o o p p p p p p q q q q q q r r r a b s s s s s s t t t t a a a a b b d d d d f f f g h a b c d j j j k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y t t t t u v w x y z r r r s s s s s s t t t t t t u u u z z z z z m p p q q r s'], [' n a b c d e f a g g l'], [' x a b c j d e f a g g h h h i j j j k k k k l l l l m n o p q r r r s s s s s s s t t t t t'], ['l m m m m p p q q r s x a b c d e f a g g t'], [' x a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v d e f g a b c d e f a g g t t'], [' a b c d e f a g g t'], ['l m m m o t x t a b c d e f a g g t t m m m m m n n n n n n n n n n n n n n o o p p q o o o o o p p p p p p q q q q q q r r r r r s s s s s s t t t t t t u u a b f a g g h h x a g g t h i j j j k k k l l l l m n o p q r r r s s s t t t t t t t t u v w x y z z z z z q r r s'], ['d g h i d '], ['l m n n n o o p p q o o o o o o p p p p q q q r r r r r s s s s s s t t t t t t u u z z z z z q r r s'], [' x b a b c d e f a g t t'], [' a b c d e f a g g h h h i j j j k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y z'], [' x b a a a a a b b d d d d f f f g h a b c d e f a g g h h h i j j j k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y b c d e f a g g t t'], [' a b c d e f a g g h h h i j j j k k k l a b c d j j j k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y t t t t u v w x y z'], [' x a b c d e f o o o o o o p p p p p p q q q q q q r r r r r s s s s s s t t t t t t u u z z z z x a b c d e f a g g t a g g t'], [' a b c d e f a g g h h h i j j j k k k l l l l m n o p q r r r s s s o o o o a a a a b b d d d d f f f g h i x a b c d e f a a g g t t o o p p p p p p q q q q q q r r z z s s t t t t t t t t u v w x y z'], ['p p q q r r r s s s t t t u u u v v w w x x y y z z'], [' a a a a b b d d d d f f f g h a b c d e f a g g h h h i j j j k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v '], [' x a b c d e f g a g g t'], ['l m m m m m m m m n n n n n n n n n n n n n n o o p p q q r r s'], ['d g '], ['d g h i d '], ['x y a a a b b d d j j j j k k k k l l l l m n p q r r r s s s s s s s t t t t t t t t v w'], [' g h i t'], ['p p q q r r r s s s t t t u x x y y z z'], [' a b c d e f a g g h h h i j j j k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y z'], [' n a b c d e f a g g t t'], ['o o o o a a a a b b d d d d f f f g h i x a b c d e f a g g t t o o p p p p p p q q q q q q r r r r r r s s x b a a a a a b b d d d d f f f g h a b c d e f a g g h h h i j j j k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y b c d e f a g g t t t t t t t u u z z z z z'], [' x y z x y z x y z x y z x y z x y z x y z x y z x x a b c d e f a g g t'], [' a a a a b b a b c d e f a g g h h h i j j j k k k l l l l m n o p q r r r s s s t t t t t t t t u v w x y f f g h i e'], [' x o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t u u z z z z z a b c d e f e a g g y t '], [' o o o o a a a a b b d d d d f f f g h i x a b c d e f a z s s t t t t t t u u z z z z z d e f a t t'], ['a b c d e f z b c d e f g'], [' a b c d e f a g g h h h i j j j k k k l l l l m n o p q r r r s s s t t t t t t t t u v w x y '], [' o o o o a a a a b b d d d d f f d e f a g g t t o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u z z z z z d e f a t t'], [' a b c d e f a g g h h h i j j j k k k l l l l m n o p v w x y '], ['o o o o a a a a b b d d d d f f f g h i x a b c d e f a g g t t o o p p p p p p q q q q q q r r z z'], ['l m m m o t x t a b c d e f a g g t t m m m m m n n n n n n n n n n n n n n o o p p q o o o o o p p p p p p q q q q q q r r r r r s s s s s s t t t t t t u u w x y z z z z z q r r s'], [' x a g g x a b c d e f a g g h h h h i j j j k k k k l s s s s t t'], [' o o o o o o p p p p p p q q q q q q r r r r r s s s s s s t t t t t t u u z z z z x a b c d e f a g g t'], ['x y a a a b b d d j j j j k k k k l l l l m q r r r s s s s s s s t t t t t t t t v w a b c d e f a g g t t'], [' a b c d e f a g g h h h i j j j k k k l l l l m n o p q r r r s t u v w x y z'], [' b c d e f a g g g t t'], [' a b c d e f a g g h h h i j j j k k k l l l l m n o p q r r r s s s s s s y z'], [' p p q q r r r s s s t t t u u u v v w w x x y y z z a a a a b b d d d d f f f g h i a b f a g g h h x a g g t h i j j x a b c d e f a g g t t j k k k l l l l m n o p q r r r s s s t t t t t t t t u v w x y '], [' a a b c d e f a g g h h h i j j j k k k l l l l m n o p v w x y b c d e f a g g t t'], [' a a a a b b d d d d f f f g h o o o o o o p p p p p p q q q q q q r r r r r s s s s s s t t t t t t u u z z z z z a b c d e f a g g h h h i j j j k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v '], [' x b a b c d e f a g g t t'], [' g h i '], [' a b c d e f a g g t t'], ['a b c d e f g x b i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g'], [' o o o o a a a a b b d d d d f f f g h i x a b c d e f a g g t t o o p p p p p x a g g x a b c d e f a g g h h h h i j j j k k k k l s s s s t t a t t'], ['l m m m m m m m m n n n n n n n n n n n n n n o o p p q p p p q q q q q q r r r r r s s s s s s t t t t t t u u z z z z z q r r s'], [' d x x b a b c d e f a t t a b c d e f a g g t t'], ['o o o o o o p p p p p p q q q q q q r r r r r s s s s s s t t t t t t u u z z z z x y a a a b b d d d d f f f g h i i i i i j j j j k k k k l l l l m n p q r r r s s s s s s s t t t t t a b c d e f a g g h h j k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y z t t t u v w'], ['c a a a a b b x b a a a a a b b d d d d f f f g h a b r s s s s s s s t t t t t t t t u v w x y b c d e f a g g t t d d d d f f f g h i'], ['l m m m m p m p q q r s'], [' x a b t t t t t u v w x y a g g t'], ['o o o o o o p p p p p p q q q q q q r r r r r r s s s s s o o o o o o p p p p p p q q q q q q r r r z z s t t t t t t u u z z z z z'], ['d g h i d l'], [' a b c d e f a g g h h h i j j j k k k l l l l m n o p q r r r s s s s s s s t t t a b c d e f a g g h h h i j j j k k k l a b c d j j j k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y t t t t u v w x y z t t t t t u v w x y z'], [' x a b c d e f a g g t'], [' a b c d e f a g g h h h i j j j k k k l l l l m n o p q r r r s s s t t t t t t t t u v w x y h'], [' g a a a a b b d d d d f f f g h i e h i '], [' x a a b c d e f t'], [' t'], ['o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u z z z z z'], [' o t x a b c d e f t t'], ['a b c d e f g x b d g h i d c d e f a t t h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g'], ['l m m m o t x t a b c d e f a g g t t m m m m m n n n n n n n n n n n n n n o o p p q o o o o o p p p p p p q q q q q q r r r r r s s s s s s t t t t t t u u z z z z z q r s'], [' o o o o a a a a b b d d d d f f f g h i x a b c d e f a g g t t o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u z z z z z d e f a t t a a a'], ['s a b c d e f a g g h h h i j j j k k k l l l l m n o p v w x y '], [' o o o o a a a a b b d d d d f f d e f a g g t t o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u z z z z z d e f a t t'], ['l m m m m p p q o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t z z r s'], ['x y a a a b b d d j j j j k k k k l x b a b c d e f a g g t t l l l m n p q r r r s s s s s s s t t t t t t t t v w'], ['l m m m m m m m m n o q q r r s'], [' x x g a g g t a b c d e f a g g t'], [' o o o o d a a a a b b d d d d f f f g h i x a b c d e f a g g t t o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u z z z z z d e f a t t'], [' x a b c d e f a g g t t'], [' x y z x y z x y z x y z x y z x y z x y z x y z x x a b c d e f a g g t'], ['o o o o o o p p p p p p q q q q q q r x b a b c d e f a t t u z z z z z'], [' e c d e f a g g t a b c d e f a g g h h h i j j j k k k l l l l m n o p q r r r s s s s s s s t t t t a a a a b b d d d d f f f g h a b c d j j j k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y t t t t u v w x y z'], [' x e c d e f a g g t a b c d e f a g g h h h i j j j k k k l l l l m n o p q r r r s s s s s s s t t t t a a a a b b d d d d f f f g h a b c d j j j k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y t t t t u v w x y z a b c d e f a g g t'], [' o t x t a b c d e f a g g t t'], ['a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g x a b c d e f a g g t h i j k l m n o p q r s t u v w x y z a b c d e f g'], ['o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u z z z z z'], ['o o o o o o p p p p p p q q q q q q r s s s s t t t z z'], ['o o o o o o p p p p p p q q q q q q r r r r r r s s s s s o o o o o o p p p p p p q q q q q q r r r z z s t t t z z z z'], ['o o o o o o p p p p p p q q q q q q r r r r r r s s s s s s t t t t t t u u u u u u v v v v v v w w w w w w x x x x x x y y y y z z'], [' a b c d e f a g g h h h i j j j k k k l l l l m n o p q r r r s s s s s s s t t t t t t t t u v w x y z'], ['d g h i d'], [' g h'], [' x a b c d e f a b c d e f a g g h h h i j j j k k k l l l l m n o p q r r r s s s t t t t t t t t u v w x y g a g g t'], ['x y a a a b b d d j j j j k k k k l x b a b c d e f a g g o o o o o o p p p p p p q q q q q q r r r r r r s s s x a b c d e f a g g t t s s y y y z z z z z t t l l l m n p q r r r s s s s s s s t t t t t t t t v w'], [' p p q q r r r s s s t t t u u u v v w w x x y y z z a a a a b b d d d d f f f g h i ']]
results = [{'a': 2, 'b': 2}, {'a': 2, 'b': 2}, {'a': 1, 'b': 1, 'c': 1, 'd': 1, 'g': 1}, {'r': 1, 't': 1, 'g': 1}, {'b': 4}, {}, {'a': 1}, {'x': 3}, {'c': 1, 'a': 1, 'r': 1, 's': 1}, {'l': 2}, {'b': 5}, {'z': 2}, {'a': 7, 'b': 7}, {'c': 4}, {'p': 3, 'r': 3}, {'a': 1, 'b': 1, 'c': 1, 'd': 1, 'e': 1, 'f': 1, 'g': 1}, {'o': 4}, {'b': 5}, {'m': 3}, {'a': 7}, {'o': 4}, {'o': 4}, {'b': 5}, {'o': 4}, {'a': 1, 'b': 1, 'c': 1, 'd': 1, 'e': 1, 'f': 1, 'g': 1}, {'p': 1, 'l': 1, 'e': 1}, {'o': 4}, {'p': 1, 'u': 1, 'z': 1, 'l': 1, 'e': 1}, {'p': 3, 'r': 3}, {'p': 3, 'r': 3}, {'a': 7}, {'p': 1, 'l': 1, 'e': 1}, {'j': 2, 'o': 2}, {'p': 1, 'r': 1}, {'b': 6}, {'p': 1}, {'a': 1, 'b': 1, 'c': 1, 'd': 1, 'e': 1, 'f': 1, 'g': 1}, {'b': 4}, {'m': 3}, {'j': 2}, {'j': 2, 'o': 2}, {'j': 2}, {'a': 7}, {'b': 5}, {'p': 1}, {'r': 3}, {'j': 2}, {'o': 4}, {'j': 2}, {'j': 2}, {'x': 3}, {'j': 2}, {'j': 2}, {'a': 1, 'b': 1, 'c': 1, 'e': 1, 'f': 1, 'g': 1}, {'c': 4}, {'z': 2}, {'o': 4}, {'a': 1, 'b': 1, 'c': 1, 'd': 1, 'e': 1, 'p': 1, 'f': 1, 'g': 1}, {'o': 4}, {'x': 3}, {'m': 3}, {'b': 5}, {'j': 2}, {'m': 3}, {'b': 6}, {'h': 1, 'e': 1}, {'m': 3, 'o': 3}, {'l': 2, 'j': 2}, {'p': 4}, {'r': 3}, {'j': 2}, {'z': 2}, {'z': 2}, {'z': 2}, {'p': 1}, {'s': 1}, {'o': 6}, {'m': 3}, {'l': 2, 'j': 2}, {'o': 4}, {'p': 1}, {'b': 5}, {'b': 5}, {'b': 5}, {'r': 3}, {'c': 4}, {'p': 3, 'r': 3}, {'r': 1}, {'b': 3}, {'m': 3}, {'j': 2}, {'o': 6}, {'a': 7}, {'p': 3, 'r': 3}, {'l': 2, 'j': 2}, {'p': 8}, {'a': 1, 'b': 1, 'c': 1, 'd': 1, 'e': 1, 'f': 1, 'g': 1}, {'p': 1}, {'p': 1}, {'a': 7}, {'a': 7}, {'p': 2}, {'p': 1, 'l': 1, 'e': 1}, {'r': 3, 'j': 3}, {'a': 4, 'd': 4}, {'q': 3, 'r': 3, 's': 3, 't': 3, 'u': 3}, {'o': 6, 'p': 6, 'q': 6, 'r': 6, 's': 6, 't': 6, 'u': 6, 'v': 6, 'w': 6, 'x': 6}, {'n': 14}, {'a': 4, 'd': 4}, {'x': 9}, {'t': 8}, {'a': 3, 'b': 3, 'c': 3, 'd': 3, 'e': 3, 'f': 3, 'g': 3}, {'t': 8}, {'s': 7}, {'h': 1}, {'l': 1}, {'t': 8}, {'d': 1}, {'u': 1}, {'b': 1}, {'t': 8}, {'p': 1}, {'z': 1}, {'d': 8, 't': 8}, {'g': 1}, {'t': 8}, {'s': 1}, {'t': 8}, {'c': 1}, {'t': 8}, {'n': 1}, {'v': 1}, {'x': 9}, {'f': 1}, {'o': 6, 'p': 6, 'q': 6, 'r': 6, 's': 6, 't': 6, 'u': 6, 'v': 6, 'w': 6, 'x': 6}, {'i': 1}, {'t': 8}, {'t': 8}, {'s': 7}, {'t': 1}, {'t': 6}, {'o': 1}, {'t': 8}, {'m': 1}, {'o': 6, 'p': 6, 'q': 6, 'r': 6, 's': 6, 't': 6, 'u': 6, 'v': 6, 'w': 6}, {'x': 9}, {'t': 6}, {'w': 1}, {'s': 14}, {'x': 1}, {'r': 1}, {'j': 1}, {'t': 10}, {'s': 7}, {'t': 8}, {'e': 1}, {'t': 8}, {'a': 4, 'd': 4}, {'x': 8, 'z': 8}, {'s': 7}, {'s': 14}, {'t': 6}, {'s': 13}, {'x': 9}, {'s': 14}, {'x': 5}, {'s': 13}, {'s': 7}, {'n': 13}, {'t': 8}, {'s': 14}, {'x': 9}, {'k': 1}, {'s': 14}, {'a': 4, 'd': 4}, {'o': 6, 'p': 6, 'q': 6, 'r': 6, 's': 6, 't': 6, 'u': 6, 'v': 6, 'w': 6}, {'a': 4, 'd': 4}, {'t': 14}, {'y': 1}, {'s': 13}, {'x': 7}, {'s': 13}, {'d': 4}, {'x': 7, 'y': 7, 'z': 7}, {'s': 7}, {'x': 10, 'y': 10, 'z': 10}, {'x': 2, 'y': 2, 'z': 2}, {'a': 4, 'd': 4}, {'t': 11}, {'x': 9}, {'x': 5}, {'a': 4, 'd': 4}, {'s': 28}, {'t': 8}, {'t': 8}, {'q': 3, 'r': 3, 's': 3, 't': 3, 'u': 3}, {'o': 6, 'p': 6, 'q': 6, 'r': 6, 's': 6, 't': 6, 'u': 6}, {'x': 8, 'z': 8}, {'s': 21}, {'s': 14}, {'p': 7}, {'t': 8}, {'x': 8, 'z': 8}, {'s': 7}, {'t': 16}, {'x': 8, 'z': 8}, {'t': 16}, {'x': 9}, {'s': 7}, {'i': 5}, {'a': 4}, {'t': 27}, {'s': 7}, {'a': 4}, {'x': 6}, {'x': 13}, {'t': 6}, {'t': 17}, {'s': 13}, {'t': 6}, {'x': 10}, {'s': 25}, {'x': 9}, {'a': 4}, {'y': 7, 'z': 7}, {'t': 8}, {'x': 8, 'z': 8}, {'f': 3}, {'x': 8, 'z': 8}, {'s': 31}, {'t': 14}, {'t': 6}, {'x': 10}, {'x': 10, 'y': 10, 'z': 10}, {'o': 6, 'p': 6, 'q': 6, 'r': 6, 's': 6, 't': 6, 'u': 6, 'v': 6, 'w': 6}, {'t': 8}, {'s': 14}, {'s': 16}, {'s': 14}, {'a': 4}, {'a': 4}, {'t': 14}, {'a': 4}, {'s': 20}, {'t': 8}, {'s': 26}, {'a': 4, 'd': 4}, {'x': 9}, {'t': 27}, {'a': 4}, {'s': 14}, {'s': 25}, {'t': 6}, {'s': 7, 't': 7}, {'t': 27}, {'t': 8}, {'a': 4, 'd': 4}, {'t': 13}, {'a': 11}, {'s': 20}, {'t': 8}, {'s': 19, 't': 19}, {'t': 8}, {'s': 20}, {'s': 20}, {'x': 9}, {'t': 8}, {'x': 8, 'z': 8}, {'s': 14}, {'s': 26}, {'x': 9}, {'t': 6}, {'t': 9}, {'a': 11}, {'s': 25, 't': 25}, {'t': 8}, {'t': 12}, {'t': 5}, {'x': 6}, {'x': 8, 'z': 8}, {'s': 16}, {'t': 8}, {'f': 3}, {'x': 9}, {'s': 19, 't': 19}, {'t': 27}, {'o': 6, 'p': 6, 'q': 6, 'r': 6, 's': 6, 't': 6, 'u': 6, 'v': 6}, {'t': 6}, {'t': 27}, {'x': 2}, {'v': 6, 'w': 6}, {'x': 12}, {'t': 10}, {'x': 10, 'y': 10, 'z': 10}, {'x': 2}, {'z': 6}, {'x': 10, 'y': 10, 'z': 10}, {'s': 8, 't': 8}, {'x': 8, 'y': 8, 'z': 8}, {'x': 9}, {'a': 4}, {'x': 18}, {'x': 10, 'y': 10, 'z': 10}, {'a': 10}, {'q': 3, 'r': 3, 's': 3}, {'x': 6}, {'s': 25}, {'s': 20}, {'x': 5}, {'y': 8, 'z': 8}, {'s': 25}, {'t': 19}, {'a': 5}, {'y': 7}, {'x': 8}, {'x': 9}, {'x': 8, 'z': 8}, {'s': 20}, {'a': 10, 't': 10}, {'x': 9}, {'x': 5}, {'t': 25}, {'s': 10}, {'t': 25}, {'o': 6, 'p': 6, 'q': 6, 'r': 6, 's': 6}, {'v': 6}, {'t': 3, 'u': 3}, {'s': 16}, {'x': 9, 'y': 9, 'z': 9}, {'t': 14}, {'x': 10}, {'f': 3}, {'t': 16}, {'a': 4, 'd': 4}, {'a': 16}, {'t': 8}, {'x': 6}, {'s': 13}, {'s': 7}, {'t': 29}, {'w': 6}, {'t': 5}, {'l': 4, 't': 4}, {'o': 6, 's': 6, 't': 6, 'u': 6}, {'h': 7}, {'s': 13}, {'s': 16}, {'a': 4}, {'x': 2}, {'t': 6}, {'i': 5}, {'t': 14}, {'s': 14}, {'s': 33}, {'x': 5, 'y': 5, 'z': 5}, {'s': 14}, {'a': 4}, {'t': 4}, {'s': 14, 't': 14}, {'a': 4}, {'t': 3}, {'s': 14, 't': 14}, {'t': 24}, {'x': 8}, {'a': 4, 'd': 4}, {'t': 9}, {'t': 22}, {'x': 5}, {'x': 9}, {'x': 8, 'z': 8}, {'a': 2, 'b': 2, 'c': 2, 'd': 2}, {'x': 5}, {'a': 3, 'b': 3, 'c': 3, 'd': 3}, {'a': 1}, {'ä': 1, 'å': 1, 'ö': 1}, {'a': 2, 'g': 2, 't': 2}, {'a': 2, 'g': 2, 't': 2}, {'n': 14}, {'a': 2, 'g': 2, 't': 2}, {'a': 4, 'd': 4}, {'t': 8}, {'g': 1, 'h': 1, 'i': 1}, {'o': 6, 'p': 6, 'q': 6, 'r': 6}, {'t': 8}, {'c': 1, 'g': 1, 'h': 1, 'i': 1}, {'t': 3}, {'t': 8}, {'b': 2, 'a': 2, 'g': 2, 't': 2}, {'n': 14}, {'o': 6, 'p': 6, 'q': 6, 'r': 6, 's': 6, 't': 6, 'u': 6, 'v': 6, 'w': 6, 'x': 6}, {'t': 8}, {'t': 16}, {'s': 7}, {'q': 1}, {'t': 4}, {'a': 4, 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't': 2}, {'t': 8}, {'o': 6, 'p': 6, 'q': 6, 'r': 6, 's': 6}, {'a': 12}, {'d': 2}, {'g': 2}, {'t': 11}, {'a': 4}, {'t': 16}, {'t': 10}, {'g': 1, 'h': 1, 'i': 1}, {'t': 8}, {'t': 5}, {'a': 2, 't': 2}, {'a': 4}, {'t': 8}, {'a': 4, 'd': 4}, {'t': 22}, {'s': 7}, {'o': 6, 'p': 6}, {'g': 3}, {'g': 3}, {'a': 4}, {'s': 7}, {'t': 30}, {'a': 12}, {'t': 12}, {'o': 6, 'p': 6, 'q': 6, 's': 6, 't': 6}, {'t': 9}, {'t': 11}, {'a': 4, 'd': 4}, {'a': 4}, {'a': 4, 'd': 4}, {'a': 4, 'd': 4}, {'a': 6}, {'d': 3, 'e': 3, 'f': 3, 'g': 3}, {'o': 6}, {'a': 5}, {'t': 10}, {'g': 4}, {'d': 1, 'g': 1, 'h': 1, 'i': 1}, {'a': 4}, {'n': 14}, {'t': 7}, {'t': 10}, {'o': 6, 'a': 6, 'p': 6, 'q': 6}, {'g': 6}, {'t': 10}, {'t': 10}, {'a': 5, 'b': 5}, {'a': 3, 'd': 3, 'f': 3}, {'a': 11}, {'t': 9}, {'t': 7}, {'t': 3}, {'t': 8}, {'t': 8}, {'a': 2, 'g': 2, 't': 2}, {'a': 4}, {'t': 14}, {'t': 8}, {'d': 1, 'g': 1, 'h': 1, 'i': 1}, {'g': 3}, {'t': 10}, {'o': 6, 'p': 6, 'q': 6, 's': 6, 't': 6}, {'q': 3, 'r': 3, 's': 3, 't': 3, 'u': 3}, {'a': 7}, {'o': 6}, {'t': 18}, {'a': 14}, {'s': 7, 't': 7}, {'t': 7}, {'t': 9}, {'s': 7}, {'g': 2}, {'m': 4}, {'t': 12}, {'a': 6, 'd': 6}, {'t': 9}, {'b': 2, 'a': 2, 'g': 2, 't': 2}, {'a': 4, 't': 4}, {'q': 3, 'r': 3, 's': 3, 't': 3, 'u': 3}, {'t': 22}, {'a': 2, 'g': 2}, {'s': 7}, {'m': 4}, {'g': 5}, {'a': 2, 'g': 2}, {'t': 19}, {'d': 2}, {'o': 8}, {'b': 2, 'a': 2, 't': 2}, {'t': 8}, {'t': 10}, {'t': 12}, {'t': 8}, {'t': 10}, {'r': 3, 's': 3, 't': 3, 'u': 3}, {'t': 8}, {'g': 3}, {'n': 14}, {'d': 1, 'g': 1}, {'d': 2}, {'t': 8}, {'g': 1, 'h': 1, 'i': 1, 't': 1}, {'r': 3, 's': 3, 't': 3}, {'t': 8}, {'a': 2, 'g': 2, 't': 2}, {'t': 17}, {'x': 10}, {'t': 8}, {'o': 6, 'p': 6, 'q': 6, 'r': 6, 's': 6, 't': 6}, {'t': 8}, {'b': 2, 'c': 2, 'd': 2, 'e': 2, 'f': 2}, {'t': 8}, {'t': 10}, {'l': 4}, {'o': 6, 'a': 6, 'p': 6, 'q': 6}, {'n': 14}, {'g': 4, 'h': 4, 'k': 4, 's': 4}, {'t': 7}, {'t': 10}, {'l': 4}, {'g': 3}, {'s': 6}, {'t': 14}, {'a': 4, 'g': 4, 'l': 4}, {'t': 14}, {'b': 2, 'a': 2, 'g': 2, 't': 2}, {'g': 1, 'h': 1, 'i': 1}, {'a': 2, 'g': 2, 't': 2}, {'b': 4}, {'a': 10}, {'n': 14}, {'a': 4, 't': 4}, {'t': 22}, {'a': 11}, {'m': 5}, {'t': 6}, {'o': 12, 'p': 12, 'q': 12}, {'d': 2}, {'t': 20}, {'a': 2, 'g': 2}, {'t': 8}, {'a': 4, 'd': 4}, {'a': 2}, {'t': 1}, {'o': 6, 'p': 6, 'q': 6, 'r': 6, 's': 6, 't': 6}, {'t': 3}, {'d': 6}, {'n': 14}, {'a': 10, 't': 10}, {'l': 4}, {'t': 10}, {'p': 8}, {'t': 10}, {'m': 8}, {'g': 5}, {'t': 10}, {'a': 2, 'g': 2, 't': 2}, {'x': 10}, {'o': 6, 'p': 6, 'q': 6}, {'t': 17}, {'t': 18}, {'t': 4}, {'a': 5, 'g': 5}, {'o': 6, 'p': 6, 'q': 6, 'r': 6, 's': 6, 't': 6}, {'o': 6, 'p': 6, 'q': 6}, {'o': 12, 'p': 12, 'q': 12}, {'o': 6, 'p': 6, 'q': 6, 'r': 6, 's': 6, 't': 6, 'u': 6, 'v': 6, 'w': 6, 'x': 6}, {'t': 8}, {'d': 2}, {'g': 1, 'h': 1}, {'t': 9}, {'s': 12, 't': 12}, {'a': 4, 'd': 4}]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(histogram)
print('___SENTINEL___')
| b6d04c1c9ccc51352d1fc3a436f0a155 |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-4
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-04, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [['a b c'], ['a b b a'], ['a b c a b'], ['b b b b a'], ['']]
results = [{'a': 1, 'b': 1, 'c': 1}, {'a': 2, 'b': 2}, {'a': 2, 'b': 2}, {'b': 4}, {}]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(histogram)
print('___SENTINEL___')
| 4724608812c1feefae649b3d93a27f71 |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-6
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-07, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [['abcde', 'ae'], ['abcdef', 'b'], ['abcdedcba', 'ab'], ['dwik', 'w'], ['a', 'a'], ['abcdedcba', ''], ['abcdedcba', 'v'], ['vabba', 'v'], ['mamma', 'mia'], ['racecar', 'ace'], ['level', 've'], ['noon', 'on'], ['abcba', 'bc'], ['kayak', 'ka'], ['deified', 'de'], ['radar', 'ad'], ['tenet', 'ne'], ['reviver', 'er'], ['refer', 'fe'], ['non', 'on'], ['abcba', 'ne'], ['radar', 'a'], ['vee', 've'], ['ave', 've'], ['level', 'ave'], ['ve', 've'], ['er', 'ervee'], ['bc', 'ervee'], ['noon', 've'], ['ve', 'v'], ['', 've'], ['deified', 'ne'], ['WqHkuRXIf', 'WqHkuRXIf'], ['ervee', 'vrefere'], ['vnonrefere', 've'], ['nooon', 'noon'], ['vrevivere', 've'], ['racecar', 'racecar'], ['ratcetenetcar', 'racetenetcar'], ['deified', 'deifiedracecar'], ['vnonrefere', 'v'], ['er', 'e'], ['noonoa', 'noona'], ['ve', 'WqHkuRXIf'], ['racetenetcar', 'racetenetcar'], ['', 'e'], ['tenet', 'tenet'], ['vreviveere', 'vrevivere'], ['tenet', 'radar'], ['racecar', 'deace'], ['refer', 'er'], ['racecar', 'vrevivere'], ['dei', 'deified'], ['re', 'rer'], ['vnonvreviveererefere', 'v'], ['accce', 'acce'], ['vnoone', 'v'], ['deifiedve', 'deified'], ['noner', 'ervee'], ['refer', 'vfe'], ['refer', 'vnonvreviveererefere'], ['deifeied', 'deified'], ['racet', 'racetenetcar'], ['abcba', 'abcba'], ['radar', ''], ['refer', 'refer'], ['', ''], ['vnoone', 'xUJIA'], ['onooon', 'nooon'], ['tdetenet', 'tenet'], ['ve', 'WqHXIf'], ['dveeifieacced', 'dveeified'], ['tenetvnonvreviveererefere', 'tenet'], ['dedi', 'e'], ['dedi', 'dedi'], ['r', 'reviver'], ['referr', 'refer'], ['kaonyak', 'kayak'], ['radarr', 'radar'], ['tdetenet', 've'], ['reviver', 'de'], ['radarr', 'radarr'], ['non', 'non'], ['raderveenar', 'deifiedracecara'], ['dei', 'ne'], ['racetenvfeetcar', 'racetenettcar'], ['ne', ''], ['avreviveerebcba', 'bc'], ['erve', 'ervee'], ['noxUJIAn', 'non'], ['racecar', 'ne'], ['vffe', 'vfe'], ['bc', 'bc'], ['e', 'ee'], ['none', 'vfe'], ['vnonreeferrer', 'v'], ['onooon', 'onooon'], ['raderveenar', 'raderveenar'], ['ve', 'eve'], ['nonnon', 'nonnon'], ['raderveenar', 've'], ['vee', 'vee'], ['lelvel', 'ave'], ['vededie', 'vee'], ['raceetenvfeetcar', ''], ['refer', 'fee'], ['acreferrcce', 'accce'], ['racetenvftcar', 'noxUJIAn'], ['dde', 'deified'], ['racecar', 'aei'], ['kayak', 'xyz'], ['madam', 'ab'], ['rotator', 'z'], ['tattarrattat', 'bcdfghjklmnpqvwxyz'], ['abcedeba', 'aceb'], ['level', 'ev'], ['racecar', 'a'], ['rotator', 't'], ['asymmetrical', 'lme'], ['asymmetr', 'asymmetrical'], ['mmadam', 'ab'], ['lme', 'lme'], ['aceb', 'lme'], ['kayak', 'lme'], ['racecaeir', 'racecaeir'], ['abcedeba', 'abcedeba'], ['t', 't'], ['xyz', 'xyz'], ['racecar', 'raccecar'], ['racecaeir', 't'], ['kkayk', 'xyz'], ['mmadadm', 'mmaadam'], ['kayakaceb', 'abcedeba'], ['mmadadm', 'dmmaadam'], ['racecaeir', 'racmadamecaeir'], ['lme', 'a'], ['mmadadm', 'bcdfghjklmnpqvwxyz'], ['rotator', 'asymmetr'], ['kayak', 'ev'], ['madam', 'aab'], ['racecaeir', 'ev'], ['mmadaaeim', 'dmmaadam'], ['aab', 'asymmetrical'], ['kayak', 'racmadamecaeir'], ['ammadadm', 'mmadadm'], ['asymmetrical', 'lmme'], ['kayakasymmetr', 'kayak'], ['t', 'xxyz'], ['aei', 'mmaadam'], ['bcdfghjklmnpqvqwxyz', 'mmadadm'], ['bcdfghraccecarjklmnpqvkkaykwxyz', 'bcdfghjklmnpqvwxyz'], ['adm', 'mmaadam'], ['madbcdfghraccecarjklmnpqvkkaykwxyzam', 'madam'], ['kaadmyak', 'xyz'], ['aceb', 'aceb'], ['rotrator', 'rotrator'], ['bcdfghjklmnpqvwxyz', 'ev'], ['ab', 'ab'], ['bcdfghjklmnpqvqwxyz', 'bcdfghjklmnpqvqwxyz'], ['tattarrattat', 'xxyz'], ['racecar', ''], ['elevelv', 'ev'], ['ev', 'ev'], ['racecaeir', 'rotator'], ['mmaadam', 'mdam'], ['asymmetrical', 'bcdfghraccecarjklmnpqvkkaykwxyz'], ['kayakaceb', ''], ['rotrator', 'ab'], ['elevzelv', 'emadbcdfghraccecarjklmnpqvkkaykwxyzamv'], ['racecar', 'racecear'], ['mmaddadm', 'mmadadm'], ['tattarrattat', 'mdam'], ['madbcdfghraccecarjklmnpqvkkaykwxyzam', 'maraceceardam'], ['madam', 'acebb'], ['bcdfghjklmnpqvqwxyz', 'eacebbv'], ['lme', 'xyz'], ['tattarrattat', 'mddmam'], ['ammadadme', 'ev'], ['t', 'xadmxzyz'], ['rotator', 'racecear'], ['kaadmyak', 'kaadmyak'], ['abcedeba', 'a'], ['bcdfqvwxyz', 'bcdfghjklmnpqvwxyz'], ['madam', 'elevzelv'], ['abceadmdeba', 'abceadmdeba'], ['mmadadm', 'mmadadm'], ['kayak', 'lmxxyz'], ['abctattarrattatedeba', 'abcedeba'], ['racecaeir', 'xadmxzyz'], ['kayaak', 'lmemmadam'], ['ammadadm', 'madam'], ['kayakaceb', 'mmadadm'], ['asymmetrical', 'l'], ['mmadadm', 'rotrator'], ['bcdfghraccecarjklmmnpqvkkaykwxyz', 'bcdfghraccecarjklmnpqvkkaykwxyz'], ['maraceceardam', 'racecear'], ['asymmetrical', 'asymmetrical'], ['bcdfghjklmnpqvqwxyz', 'bcdfghjklmnpqvqwxz'], ['tattarrattaasymmetricalt', 'xxyz'], ['xadmxzyz', 'lmemmadam'], ['dmmaaeacebbvdam', 'mmadaaeim'], ['raceccear', 'racecear'], ['raccecar', 'a'], ['asymmetr', 'asymmetr'], ['aab', 'racecarab'], ['kkayk', 'tattarrattat'], ['racecaeir', 'racmadameceaeir'], ['kayak', 'lmemmadam'], ['bcdfghraccecakrjklmnpqvkkaykwxyz', 'adm'], ['elevzelv', 'xxyz'], ['bcdfghraccecarjklmmnpqvkkaykwxyz', 'mdam'], ['mddmam', 'bcdfghjklmnpqasymmetricalvwxyz'], ['bcdfqvwxyz', 'tattarrattartbcdfghraccecarjklmmnpqvkkaykwxyz'], ['teacebbvattarrraattat', 'tattarraattat'], ['maraceceardam', 'maraceceaarda'], ['xylmxxyzz', 'lme'], ['asytr', 'tattarrattartbcdfghraccecarjklmmnpqvkkaykwxyz'], ['madbcdfghraccecarjklmnpqvkkkaykwxyzam', 'madam'], ['bcdfghraccecarjklmanpqvkkaykwxyzxyz', 'bcdfghraccecarjklmnpqvkkaykwxyzxyz'], ['racecaeir', ''], ['asymmetrical', 'teacebbvattarrraattat'], ['xxyz', 'abcedeba'], ['ammadadm', 'maraceceaarda'], ['racaecaeir', 'racmadameceaeir'], ['asytrmmadam', 'ab'], ['rotrator', 'kayaak'], ['rotrr', 'rotraatasymmetrr'], ['racecear', 'bcdfghraccecarjklmnpqvkkaykwxyz'], ['tattarrattartbcdfghraccecarjklmmnpqvkkaykwxyz', 'tattarrakayakasymmetrttat'], ['racmadameceaeabcedebair', 'racmadameceaeir'], ['tattarrattat', 'bcdfghjlmnpqvwxyz'], ['abcedebaxxyzxadmxzyz', 'abcedebaxadmxzyz'], ['abcedebaxxyzxadmxzyz', 'racmadameceaeir'], ['eccecar', 'madbcdfghraccecarjklmnpqvkkkaykwxyzam'], ['asymmetr', 'mdam'], ['lmxxyz', 'bcdfghjklmnpqvqwxz'], ['t', 'tt'], ['tattarrammaddadmttat', 'tattarrattat'], ['asymmetr', 'aceb'], ['kayakaceb', 'abcedceba'], ['kaadmyak', 'madbcdfghraccecarjklmnpqvkkkaykwxyzam'], ['elevze', 'xxyrotator'], ['xxyz', 'ab'], ['ammadadm', 'tattarrattartbcdfghraccecarjklmmnpqvkkaykwxyz'], ['ledmmaadamvel', 'level'], ['xadmxzyz', 'bcdfghraccecarjklmnpqvkkaykwxyzxyz'], ['rotat', 'rotator'], ['eelevze', 'lmemmadam'], ['xadmxzy', 'xadmxzyz'], ['l', 'tattarrattat'], ['ab', 'lme'], ['tattarrattammadadmat', 'tattarrattat'], ['elevzelv', 'elevzelv'], ['kayakaceb', 'mmadmmadadmadm'], ['tattarrattat', 'abcedeba'], ['mdam', 't'], ['eteacebbvattarrraattatv', 'eteacebbvattarrradmmaadamattatv'], ['racmaeteacebbvattarrraattatvdebair', 'racmadameceaeabcedebair'], ['kmmadaaeimk', 'xyz'], ['mmaddadm', 'eteacebbvattarrradmmaadamattatv'], ['lmme', 'mamadadm'], ['asymttical', 'asymttical'], ['eelevzelv', 'eelevzelv'], ['racmadameceaeir', 'lmemmadam'], ['racecr', 'ammadaadm'], ['racmadameceaeabtattarrattaasymmetricaltcedebair', 'racmadameceaeir'], ['kaadmyak', 'kaadmak'], ['mmadam', 'batattarrammaddadmttatb'], ['mdam', 'xxyz'], ['mmaasymmetrdadkmmadaaeimk', 'mmmadadm'], ['kayamamadadmk', 'xyz'], ['asytrmmadam', 'adm'], ['ammadadm', 'tattarrattartbcdfghraccdecarjklmmnpz'], ['mmaadamm', 'mmaadamm'], ['xxydmmaaeacebbvdamz', 'xxyz'], ['eteacebbvattarrraattatv', 'eteacebbvattarrradmmaadamaelevzettatv'], ['racecea', 'racecear'], ['kkayk', 'xyracecarz'], ['lmem', 'lmemmadam'], ['asytrmmadam', 'tattarrammaddadmttat'], ['dmmmmaadamam', 'dmmaadam'], ['racrecaeeir', 'racrecaeir'], ['abcedebaxadmxzyz', 'mmaadam'], ['racecarab', ''], ['mdam', 'ledmmaadamvel'], ['aceracecarabbb', 'acebb'], ['acbcdfghjklmnpqvqwxyzeb', 'aceb'], ['raccecar', 'raccecar'], ['mdam', 'asymttical'], ['mmadadm', 'lmemmadam'], ['eteacebbvattarrradmmaadamattatv', 'abcedeba'], ['ace', 'asymmetr'], ['tattarrattartbcdfghraccecarjklmmnpqvkkaykwxyz', 'tattrotrrarrakayakasymmetrttat'], ['abceadmdeba', 'ev'], ['', 'xxyz'], ['kaadmak', 'raccecar'], ['ammadalmxxyz', 'abcedceba'], ['mmadadm', 'mmaadadm'], ['acracecare', 'asymmetr'], ['asymmrical', 'lme'], ['ammadalmxxyz', 'kayakaceb'], ['asymmetrical', 'lmee'], ['abctattrtrattatedeba', 'abcedeba'], ['kayamkamadadmk', 'xyz'], ['abcedebaxxyzxadmxzyz', 'tattarraattat'], ['level', 'tattarrattartbcdfghraccecarjklmmnpqvkkaykwxyz'], ['lmee', 'lmee'], ['asytrmmadam', 'lmxxyz'], ['asymmetriabcedebaxxyzxadmxzyzl', ''], ['lmee', 'xyz'], ['asymtr', 'mdaxadmxzyzm'], ['eelevlevelzelv', 'eelevzzelv'], ['rrotrator', 'ammmadaadmmdam'], ['ledmmaadamvel', 'll'], ['acebb', 'kayakattceb'], ['lmee', 'eteacebbvattarrradmmaadamattatv'], ['abcedaeba', 'tattarrattat'], ['lme', 'xxyrotator'], ['bcdfghjklmnpqvwxyz', 'lmeeev'], ['lmme', 'asymtticaldadm'], ['asymdaxadmxzyzmtrmmadam', 'asytrmmadam'], ['lmme', 'abcedeba'], ['mmadam', 'madam'], ['acracecare', 'emadbcdfghraccecarjklmnpqvkkaykwlmmexyzamv'], ['racmmaddadmmadameceaeir', 'racmadameceaeir'], ['levevl', 'ledmmaadamvel'], ['tattrarrattat', 'racecea'], ['xxx', 'xxyz'], ['tattarrattat', 'abcedaeba'], ['teacebbvattarrraattat', 'xyracecarz'], ['bcdfghjklmnpqvqwxyz', 'bcdfghjklmnpqvqwabxyz'], ['abceadmacebdeba', 'abceadmdeba'], ['kkaadmyak', 'madbcdfghraccecarjklmnpqvkaykwxyzam'], ['xxyzlmemmadam', 'abccedeba'], ['kayakasymmetr', 'a'], ['mddmam', 'tattarrattat'], ['emadbcdfghraccecarjklmnpqvkkaykwlmmexyzamv', 'acracecare'], ['eteacebbvattarrraattabatattarrammaddadmttatbtv', 'eteacebbvattarrradmmaadamattatv'], ['abcezadmdeba', 'rotator'], ['lmemmadam', 'kayaamadbcdfghraccecarjklmnpqvkkkaykwxyzamk'], ['t', 'lmemmadam'], ['lme', 'ledmmaadamvel'], ['emadbcdfghraccecarjklmnpqvkkaykwlmmexyzamasytrmmadam', 'acracecare'], ['racmadameceaeabtattarrattaasymmetricaltcedebair', 'racecea'], ['ammadaadm', 'rotator'], ['mddam', 'asymtticaxyzl'], ['lmme', 'lme'], ['asymtdticaldadm', 'asyimtticaldadm'], ['asyimtticaldadm', 'asyimtticaldadm'], ['lmee', 'ledmmaadamvel'], ['mamadadm', 'mmaasymmetrdadkmmadaaeimk'], ['asymmetriabcedebaxxyzxadmxzyzl', 'asymmetriabcedebaxxyzxadmxzyzl'], ['racecarab', 'racecarab'], ['ledmmaadamvel', 'leve'], ['rotator', 'rotator'], ['rrotrator', 'lme'], ['asyimtticaldadm', 'a'], ['xxyzlmemmadam', 'rotator'], ['ma', 'madam'], ['elevze', 'xxyraceceartor'], ['bcdfghjklmnpqvqwxyz', 'emamadadmacebbv'], ['reteacebbvattarrradmmaadamattatvotrator', 'rotrator'], ['amadbcdfghraccecarjklmnpqvkkaykwxyzambcedaeba', 'abcedaeba'], ['raceckayakaceb', 'abcedceba'], ['mmdam', 'mdam'], ['mamadaeacebbv', 'mmaasymmetrdadkmmadaaeimk'], ['abcdeba', 'abcedeba'], ['adm', 'tattarrammaddadmttat'], ['lmem', 'raceckayakaceb'], ['tattarrattartbcdfghraccecarjklmmnpqvkkaykwxyz', 'xxyraceceartor'], ['madbcdfghracabcdebaadmcecnarjklmnpqvkaykwxyzam', 'madbcdfghracabcdebaadmbcdfghjklmnpqvwxyzcecarjklmnpqvkaykwxyzam'], ['abcdeba', 'racecaeir'], ['maeccecardmam', 'acebb'], ['kaadmyak', 'eteacebbvattarrradmmaadamattatvkaadmyaceak'], ['asymmetr', 'lmxxyz'], ['ammadalmxxyz', 'abcedcracmadameceaeabtattarrattaasymmetricaltcedebaira'], ['mmaadaabcedcracmadameceaeabtattarrattaasymmetricaltcedebairam', 'mmaadam'], ['mddmamyz', 'xyz'], ['tattrarrattat', 'xymxxyzz'], ['ammadalmxxyz', 'ammadalmxxyz'], ['asytrmmadam', 'asytrmmadam'], ['madbcdfghraccecarjklmnpqvkkkaykwxyzam', 'y'], ['elerotratore', 'tattarrattammadadmat'], ['racmadameceaeabtattarrattaasymmetricaltcedebair', 'racmadameceaeabtattarrattaasymmetricaltcedebair'], ['racecar', 'asymmrical'], ['lme', 'xadmxzyz'], ['asymmmetr', 'asymmetr'], ['mmaadaabcedcracmadameceaeabtattarrattaasymmetricaltcedebairam', 'mmaadaabcedcracmadameceaeabtattarrattaasymmetricaltcedebairasymmetram'], ['abctattrtrattatedeba', 'tt'], ['bcdfghjklmnpqvqwxyz', 'batattarrammaddadmttatb'], ['mddam', 'bcdfghjlmnpqvwxyz'], ['racecar', 'rtattarrattaasymmetricaltacecear'], ['tattrarrattat', 'racecekayakaceb'], ['adm', 'tattarrammaddadmtatat'], ['xylmxxyzz', 'lmme'], ['ledmmaadamvel', 'racecekayakaceb'], ['eelevzzelv', 'rtattarrattaasymmetricaltacecear'], ['bcdfghraccecarjklmnpqvkkaykwxyzxyz', 'dmmaadam'], ['ammadadm', 'maraceceaardra'], ['amadbcdfghraccecarjklmnpqvkkaykwxyzambcedaeba', 'kaadmak'], ['eelevlevelzelv', 'racecr'], ['mmadmmadadmadm', 'amadbcdfghraccecarjklmnpqvkkaykwxyzambcedaeba'], ['ll', 'ev'], ['teacebbvattarrraattat', 'elevze'], ['rrotrator', 'rrotrator'], ['ll', 'vev'], ['emamadadmacebbv', 'elelvze'], ['kkaadmyak', 'xyz'], ['tattarrattaasymmetricalt', 'tattarrattaasymmetricalt'], ['lmacebraccecarbe', 'lme'], ['mmlme', 'mlme'], ['rotrr', 'aa'], ['kaayakasymmetr', 'kayakasymmetr'], ['xylmxxyzzz', 'xylmxxyzz'], ['kkakyk', 'kkayk'], ['abcezadmdeba', 'adm'], ['ma', 'lmxxyz'], ['eteacebbvattarrraattatv', 'eteacebbvattarrmaadamattatv'], ['bcdfghjklmnpqvqwxz', 'bcdfghjklmnpqvqwxyz'], ['ical', 'asymmettrical'], ['kayakattceb', 'acebbb'], ['asymtdticaldadm', 'rotat'], ['arelerotratoresymmetr', 'asymmetr'], ['ev', 'evlmacebraccecarbe'], ['tattarrattartbcdfghraccecarjklmmnpqvkkaykwxyz', 'aa'], 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['mddam', 'mddam'], ['bcdfghraccecarjklmnpqvkkaykwxrotatoryz', 'xxyraceceartor'], ['tattarrammaddadmtatat', 'dmmaadam'], ['maraceceardam', 'maracecekayaracecarameteacebbvattarrmaadamattatvmadadmkaarda'], ['pqvkkaykwxyz', 'bcdfghraccecarjklmnpqvkkaykwxyz'], ['abcedebaxxyzxadmxzyz', 'tattarraatatat'], ['ba', 'mmadadm'], ['kaayakasymmetr', ''], ['asymmettricammadalmxxyzal', 'abcedebaxadmxzyz'], ['reaeir', 'lmemmadam'], ['asymdaxadmxzyzmtrmmadam', 'aab'], ['racceecar', 'bcdfghracceckwx'], ['mdam', 'tattarrattat'], ['eteacebbvattarrradmmaadamattatv', 'dabcedeba'], ['bcdfghjklmnpqvqwxyz', 'tattarrakayakasymmetrttat'], ['asymemexxydmmaaeacebbvdamzr', 'asymmetr'], ['raceamadbcdfghraccecarjklmnpqvkkaykwxyzambcedaebayakar', 'rtattarrattaasymmetricaltar'], ['', 'xadmxzyz'], ['kaadmak', 'kaaadmak'], ['xabcattatebayz', 'xyz'], ['aracecaraba', 'aa'], ['maraceceaardra', 'maraceceaardra'], ['mmadim', 'dmmaaeacebbvdam'], ['mmadadm', 'amadbcdfghraccecarjklmnpqvkkaykwxyzambcedaeba'], ['mmaadaam', 'bcdfghfjklmnpqvqwabxyz'], ['bcdfghraccecarjklmnpqvkkaykwxyzxyz', 'dmmmaadam'], ['kayamamadadmk', 'kayakaceb'], ['racmadamasymmettricaleceaeabtattarrattaasymmetricaltcedebair', 'racmadamasymmettricaleceaeabtattarrattaasymmetricaltcedebair'], ['tattrarrattat', 'racecmaeccecardmam'], ['ledmmaadamvebcdfqvwxeccecaryzl', 'xadmxzyz'], ['abceadmdebbcdfghjklmnpqhvwxyza', 'abceadmdeba'], ['bcdfghfjklmnpqvqwabxyz', 'bcdfghjklmnpqvvqwxyz'], ['mmaadaam', 'bcdfghklmnpqvqwabxyz'], ['reacecaeir', ''], ['acbcdfghjklmnpqvqwxyzeb', 'dmmaadam'], ['racecara', 'racecarab'], ['lmeeev', 'eelevlevelzeelv'], ['lmmemmadam', 'lmemmadam'], ['mmle', 'mmlme'], ['asymmrical', 'asymmrical'], ['kayaameteeacebbvattarrmaadamattatvmadadmk', 'reaeir'], ['emamadadmacebbv', 'reaeirmmaddadm'], ['asyimtticasymemexxydmmaaeacebbvdamzr', 'asyimtticaldadm'], ['admm', 'tattarrammaddadmttat'], ['tattarrattartbcdfghraccekayakattcebcarjklmmnpqvkkaykwxyz', 'tattarrattartbcdfghraccecarjklmmnpqvkkaykwxyz'], ['asymmrical', 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'kaaadmyak'], ['abcdebea', 'madbcdfghraccecarjklmnpqvkaykwxyzam'], ['racceecar', 'asymmetr'], ['asymttticttaldadm', 'asymttticttaldadm'], ['abc', ''], ['abc', 'abc'], ['aaaaaaaaaa', 'b'], ['abcde', 'fghij'], ['abcb', 'b'], ['abcdcba', 'ac'], ['aasymmetrical', 'asymmetrical'], ['racecar', 'aa'], ['madaam', 'ab'], ['asymmetrical', 'asymmetical'], ['bcdfghjklmnpqvwxyz', 'bcdfghjklmnpqvwxyz'], ['asymmetical', 'asymmetrical'], ['racecar', 'eaei'], ['asymmeetrical', 'asymmetical'], ['aasymmetrical', 'lasymmetrical'], ['asymrical', 'asymmetical'], ['abcedeba', 'xyz'], ['ba', 'xyz'], ['aasymmetacebcal', 'lasymmetrical'], ['aei', 'aei'], ['level', 'level'], ['asymriical', 'asymrical'], ['aasyammetrical', 'aasyammetrical'], ['tattarrattat', 'asymriical'], ['eaei', 'aasyamcal'], ['aei', 'aasymmetacebcal'], ['a', 'bcdfghjklmnpqvwxyz'], ['madaamasymmetical', 'ab'], ['basymmetrbicala', 'ba'], ['abcedeba', 'aceeb'], ['tricaasymmeticall', 'asymmetrical'], ['z', 'or'], ['tricaatsymmeticall', 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['aatricaasymmeticaasymmaaasyammeatricmadaamasyasceaeiymricalmmeticalleaietacebcaallsymmetacebcal', 'xyz'], ['asasymmeetricalytrical', 'asyormmeetricalkayak'], ['eaeei', 'aasyamcal'], ['bcdpfghjklmnpqvwxypz', 'madaamasyaseaeiymricalmmetical'], ['aasymmaetrical', 'ylasymmetrical'], ['asymriyical', 'abracaecar'], ['bcdpfghjklmnpqvwxypz', 'madaamasyaseaeiymricalammetical'], ['aasymmaetrical', 'aasymmaetrical'], ['mabmrmamadamacm', 'mabmrmamadamacm'], ['asykormmeetricalkayak', 'madmaam'], ['eaei', 'mabmrmamadamacecaJlxtadam'], ['xyxz', 'xyxz'], ['madam', 'aabracaecarb'], ['aseaeiymrical', 'madaamasymetical'], ['bba', 'ba'], ['basymmetrbmaadaamasymmeticalicala', 'aba'], ['tatxyyzatev', 'tatxyyzatev'], ['bcdfghjklmnpkqvwxypvz', 'bcdfghjklmnpqvwxyz'], ['aaei', 'aaei'], ['mamad', 'mamad'], ['madaamasyasceaeiymricalmmetical', 'asymmetrical'], ['yasymmetal', 'aracecar'], ['bba', 'aracecar'], ['abracaecmamadaaasymmaeaietaceabcaalam', 'abracaecmamadaaasymmaeaietaceabcaalamar'], ['tatxyyzzatev', 'tatxyyzatev'], ['rotator', 'abracecar'], ['aseasymmeticalaeasymmriicalmrical', 'aseaemrical'], ['tricasymmeticall', 'tricaatsymmeticall'], ['aaeeisymrical', 'bcdfghjklmnpqvwxyz'], ['bcdfghjklmnpqvwxyz', 'or'], ['tattarttat', 'aasymmetrical'], ['yasymmetical', 'tricaaasymmeetricalkayarksymmeticall'], ['asymmasymmetrotbcdfghjklmnpqvwxyzatorricaletrical', 'kayak'], ['mamdam', 'oylasymmetricalasykormmeetricalkayak'], ['aassymmetrical', 'aracecar'], ['asymmeetrtattarrattaticalkayak', 'aei'], ['aeiasymriical', 'asymriical'], ['asyormmeettricaaasymmeetricalkayarksymmeticallricalkayak', 'aasymmetacebcal'], ['asyormmalkayak', 'asyormmeetricalkayak'], ['lasymmetrical', 'lasymmetrical'], ['tricaasymmeticalacasymriicaleebl', 'tricaasymmeticalacasymriicaleebl'], ['level', 'ltricaasymmeticel'], ['xtattarrattleasymricalelt', 'xtattarrattleasymricalelt'], ['xtattarrattat', 'z'], ['abracecar', 'abrmabcdfghjebazcecar'], ['asymmetricalz', 'oor'], ['acaeb', 'xyy'], ['abcedasym', 'abcedasymmra'], ['xxymlmmeyyzy', 'xxylmeyzy'], ['lasymmetrical', 'aasymmetacebcal'], ['zz', 'asymical'], ['tatxyyzatev', 'aeai'], ['iaeiasyaasymmetacebcalmmetrical', 'iaeiasyaasymmetacebcalmmetrical'], ['abmrmamadamacecar', 'bcdfghjklwxyz'], ['alsymriyical', 'asymriyical'], ['xtyz', 'xty'], ['or', 'or'], ['z', 'abracecear'], ['asymrical', 'tricaasymmeticalacasymriicaleebl'], ['aasymmetrical', 'aasymmetmrical'], ['easymmeetricalkayark', 'asymmeetricalkayarkev'], ['asymmasymmetrotbcdfghjklmpqvwxyzatorricaletrical', 'asymmasymmetrotbcydfghjklmnpqvwxyzatorricaletrical'], ['z', 'amadaamasyaseaeiymricalmmeticalbcedeba'], ['z', 'madaamasyaseaeiymricalamadaamasyaseaeiymricalmmeticalbcedebammetical'], ['rotator', 'asyormmeettricaaasymmeetricalkayarksymmeticallricalkayak'], ['xyxz', 'xlmeyz'], ['leracecarveracecarl', 'leasymricalel'], ['aasymmetacebcaal', 'ev'], ['abaxylmyzmeyz', 'xylmyzmeyz'], ['ylasymmetrical', 'ylasymmetrical'], ['arrxyzacecacr', 'arxyzacecaeaiar'], ['asymmriical', 'xxylmeyzy'], ['abcaceeb', 'bab'], ['caaceeb', 'arxyzacecaeaiar'], ['asasymmeetricalytrical', 'amadaamatattarrattatevsyaseaeiymricalmmeticalbcedeba'], ['bcdfghjkllwxyz', 'xylmeyz'], ['rotatorxylmmeyz', 'z'], ['bab', 'rmamadamacrotbcdfghjklmnpqvwxyzatorecaraeei'], ['racecaar', 'cracecaar'], ['cecaraadam', 'xyz'], ['lelel', 'madaamasymetical'], ['madaamasymmetical', 'bcdfghjklmnpqvwxyz'], ['ev', 'aasymmetacebcaal'], ['asymmetmadaamrxyxzical', 'aasymmetaycbasytricalebcaal'], ['lelvel', 'abceedeba'], ['yasymmetal', 'aracecaaaar'], ['aseaeiymrica', 'aseaeiymrica'], ['xyabrmamadamacecarz', 'aracecar'], ['aeiasymriical', 'asymamadaamatattarrattatevsyaseaeiymricalmmeticalbcedebaiical'], ['aaei', 'cecaraadam'], ['basymmetrbmaadaamasymmeticalicala', 'abba'], ['asymmetical', 'asymrical'], ['madaamasyaseaeiymrtattarrattatevicalammetical', 'aacecar'], ['aei', 'ev'], ['madaamasymmetical', 'leevel'], ['iasymmetical', 'asymmetrical'], ['abracecear', 'madmaam'], ['xtyaammetrz', 'xyzaaei'], ['XtMIzX', 'tMaceebIzX'], ['xxymlmmeyyzy', 'asytricalabcedasym'], ['ltricaasymmeticel', 'ltricaasymmeticel'], ['abcedasym', 'abmadaamasyasceaeiymricalmmeticalcedasymmra'], ['rmamadamacecar', 'abcedasymmriicaleba'], ['bcdfghjklmnpqvwxlyz', 'abcedasym'], ['mamdaam', 'madaam'], ['asasymmeetriasymmeticalicalytrical', 'asyormmeetricalkayak'], ['asymmeetrical', 'asymmeetricasl'], ['xbcdfghjklmrmamadamacecarnpqvwxyzz', 'xbcdfghjklmnpqvwxyzz'], ['madaam', 'mbcdfghjebazaam'], ['aasymmaetrical', 'ylmasymmetrical'], ['abcedeba', 'xabracecartatatarrattatyz'], ['tricaasymmeeticalacasymriicaleebl', 'aaor'], ['bcdfghjebaz', 'bcdfghjebaz'], ['arxyzazcecacr', 'arxyzacecar'], ['level', 'eleevel'], ['tricaasymmeticalacasymriicaleebl', 'tricaasymmeticalacasymriicaebl'], ['aaeasyormmeettricaaasymmeetricalkayarksymmeticallricalkayaki', 'aaei'], ['aasymmaetrical', 'ylacal'], ['arxyzazcecacr', 'ylmasymmettricaasymmeticalacasymriicaleeblrical'], ['xyabcedebabaz', 'kayak'], ['maam', 'xylmmeyz'], ['abba', 'abba'], ['amamada', 'lmxbcdfghjklmnpqvwxyzzaa'], ['asymmasymmetrotbcdfghjklmpqvwxyzatorricaletricalam', 'am'], ['arxyzacecacr', 'xllmeyz'], ['mamabmrmamadamacecaradambmrmamadamacm', 'mabmrmamadamacm'], ['asasymmeetricalytrical', 'yasymmetical'], ['XtMIzX', 'xllmeyz'], ['madaamasyasearoreiymricalmmetical', 'tatatarlasymyriyicaltricaasymmeticeltat'], ['cacebasymmetrbicalaeb', 'cacebasymmetrbicalaeb']]
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True), ('eei', False), ('i', True), ('a', True), ('mdmsymmeticl', False), ('symmetricl', False), ('d', True), ('', True), ('z', True), ('', True), ('', True), ('abcedeba', False), ('mmdm', False), ('ll', True), ('aceb', False), ('mmdm', False), ('', True), ('i', True), ('asmmeetricalkaak', False), ('cdfghjklwxyz', False), ('mmdm', False), ('mmd', False), ('syetricl', False), ('', True), ('ba', False), ('tatatev', False), ('r', True), ('lme', False), ('abcedebaba', False), ('', True), ('', True), ('asyormmtricakayak', False), ('', True), ('v', True), ('asymriica', False), ('ror', True), ('cdfghjklwxyz', False), ('adaaastica', False), ('', True), ('', True), ('t', True), ('', True), ('mmdm', False), ('mmmdm', False), ('bdb', True), ('', True), ('', True), ('', True), ('symmtil', False), ('', True), ('mmdm', False), ('xxz', False), ('brcecr', False), ('', True), ('syiil', False), ('', True), ('syetricl', False), ('', True), ('brcecr', False), ('mrmmdmcecr', False), ('', True), ('', True), ('', True), ('symtmtril', False), ('aee', False), ('i', True), ('', True), ('mme', False), ('', True), ('', True), ('aadaa', True), ('orrikk', False), ('sytil', False), ('symmtl', False), ('', True), ('mabmrmamadamacecaradam', False), ('', True), ('', True), ('tattarrattat', True), ('', True), ('ttxztev', False), ('', True), ('mmdm', False), ('lme', False), ('caceeb', False), ('bcedeb', False), ('d', True), ('adaaastica', False), ('', True), ('', True), ('eaei', False), ('t', True), ('tricaasmmeticalacasmriicaleebl', False), ('sytricl', False), ('eei', False), ('b', True), ('', True), ('', True), ('bcdfghjklmnpqvwxyz', False), ('', True), ('rmmdmccr', False), ('', True), ('mabmrmamadamacecaraadam', False), ('mdmsiymmeticl', False), ('', True), ('', True), ('', True), ('', True), ('', True), ('', True), ('', True), ('syetricl', False), ('', True), ('z', True), ('', True), ('aasmmetacebcal', False), ('v', True), ('symrycl', False), ('tricaasmmeticalacasmriicaaleebl', False), ('', True), ('sytil', False), ('', True), ('mmtil', False), ('mdmsyseeiymiclmmeicl', False), ('aad', False), ('mmtil', False), ('aa', True), ('', True), ('mdmmme', False), ('', True), ('bdfghjkmnpqvwxpz', False), ('xyz', False), ('', True), ('xz', False), ('zz', True), ('sysymmecebclmmeicl', False), ('', True), ('symmtcbcl', False), ('i', True), ('', True), ('eeb', False), ('eisyetcebcl', False), ('', True), ('', True), ('', True), ('', True), ('', True), ('rxyzceccrxy', False), ('asymmriical', False), ('', True), ('tricsyeticlcsyriicleebl', False), ('', True), ('xbcdfghjklmnpqvwxyzz', False), ('', True), ('syetrotbcfghjklnpqvwxyztorricl', False), ('aaor', False), ('', True), ('rottor', True), ('r', True), ('', True), ('', True), ('', True), ('mabmrmamadamacm', False), ('axyyzaev', False), ('aracecar', False), ('', True), ('', True), ('cdfcghjklwxcectryz', False), ('tttv', False), ('', True), ('', True), ('symmiil', False), ('', True), ('mmrmmdmcr', False), ('', True), ('cdfghjkllwxyz', False), ('', True), ('symmtilkyk', False), ('symmtl', False), ('', True), ('mmm', True), ('', True), ('kk', True), ('a', True), ('', True), ('ambmrmamadamcar', False), ('', True), ('', True), ('', True), ('v', True), ('', True), ('abcdba', False), ('mdmsyseeiymiclmmeicl', False), ('v', True), ('rmmdmccr', False), ('xrz', False), ('mmd', False), ('', True), ('mabmrmamadamacm', False), ('rxyzcecrxy', False), ('', True), ('', True), ('', True), ('taaasymmtmricarrattat', False), ('', True), ('zz', True), ('', True), ('t', True), ('iri', True), ('araaaaear', False), ('', True), ('tricaasmmeticaasmmaaasammeatricmadaamasasceaeimricalmmeticalleaietacebcaall', False), ('i', True), ('symmtl', False), ('aaad', False), ('', True), ('madaamasymmetical', False), ('', True), ('', True), ('', True), ('aceb', False), ('rcecr', True), ('', True), ('', True), ('rccr', True), ('', True), ('bd', False), ('tricsyeeticlcsyriicleebl', False), ('mmtiil', False), ('a', True), ('', True), ('bfghjknpqvwxfz', False), ('z', True), ('', True), ('dvbdb', False), ('araaemamaaaasmmaeaietaeaaaamar', False), ('aatricaasmmeticaasmmaaasammeatricmadaamasasceaeimricalmmeticalleaietacebcaallsmmetacebcal', False), ('', True), ('eeei', False), ('bpfghjknpqvwxpz', False), ('', True), ('symiyil', False), ('bpfghjknpqvwxpz', False), ('', True), ('', True), ('sykoreetriclkyk', False), ('i', True), ('', True), ('mdm', True), ('r', True), ('', True), ('symmetrmdmsymmeticlicl', False), ('', True), ('', True), ('', True), ('', True), ('d', True), ('ysymmtl', False), ('bb', True), ('', True), ('', True), ('otto', True), ('yty', True), ('', True), ('aaeeisria', False), ('bcdfghjklmnpqvwxyz', False), ('', True), ('', True), ('smmsmmetrotbcdfghjlmnpqvwxztorricletricl', False), ('d', True), ('ssymmtil', False), ('symmtrtttrrtttclkyk', False), ('e', True), ('orririkrkirikk', False), ('', True), ('', True), ('', True), ('v', True), ('', True), ('xtattarrattat', False), ('', True), ('asymmeticalz', False), ('acaeb', False), ('', True), ('', True), ('ri', False), ('zz', True), ('ttxyyztv', False), ('', True), ('amrmamaamaear', False), ('', True), ('z', True), ('', True), ('z', True), ('', True), ('', True), ('', True), ('', True), ('z', True), ('z', True), ('', True), ('', True), ('v', True), ('aasymmtacbcaal', False), ('aba', True), ('', True), ('', True), ('asriica', False), ('ccee', False), ('b', True), ('', True), ('bcdfghjkw', False), ('rotatorxylmmey', False), ('', True), ('', True), ('cecaraadam', False), ('', True), ('aaaasetia', False), ('v', True), ('dxxz', False), ('llvl', False), ('ysymmtl', False), ('', True), ('xybmmdmz', False), ('', True), ('i', True), ('symmetrmdmsymmeticlicl', False), ('et', False), ('mdmsysiymttttttvilmmtil', False), ('ai', False), ('madaamasymmtica', False), ('', True), ('brcecer', False), ('tmmtr', False), ('', True), ('xxz', False), ('', True), ('', True), ('', True), ('fghjklnpqvwxlz', False), ('', True), ('', True), ('', True), ('raaaaear', False), ('', True), ('', True), ('d', True), ('ticsymmeeticlcsymiicleebl', False), ('', True), ('', True), ('', True), ('', True), ('syormmttrcsymmtrclkyrksymmtcllrclkyk', False), ('smmetri', False), ('xzz', False), ('xbcedebbz', False), ('aa', True), ('', True), ('', True), ('sysyetrotbcdfghjklpqvwxyztorricletricl', False), ('araccacr', False), ('e', True), ('rr', True), ('XtMIX', False), ('do', False), ('', True)]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(reverse_delete)
print('___SENTINEL___')
| 34e1e27381887d667ceffd04df69a37c |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-4
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-04, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [['abcde', 'ae'], ['abcdef', 'b'], ['abcdedcba', 'ab']]
results = [('bcd', False), ('acdef', False), ('cdedc', True)]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(reverse_delete)
print('___SENTINEL___')
| c490520daa1760985a4f9dbf7f165c1e |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-6
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-07, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[['1234567']], [['3', '11111111']], [['271', '137', '314']], [['2468']], [[]], [['0', '00', '000']], [['13579', '2468', '357']], [['11224466558888', '55555', '1234567']], [['1111', '3333', '5555', '7777', '9999']], [['444', '8888']], [['555', '777']], [['1111', '333', '5555']], [['123', '321', '12321']], [['7778888', '444', '8888']], [['778888', '333']], [['778888', '12321', '333333']], [['778888']], [['778888', '333', '333']], [['11224466558888', '8888', '55555', '1234567']], [['7778888', '444']], [['2468', '2468']], [['444', '4444', '8888']], [['7778888', '2468', '777', '2468']], [['0', '00', '00', '000']], [['77444888', '12321', '333333', '77444888']], [['13579', '2468', '24648', '357']], [['77444888', '12321', '333333', '77444888', '77444888']], [['747444888', '74447444888', '12321', '333333', '774444888', '77444888']], [['77444888', '12321', '77444888']], [['778888', '333', '333', '333']], [['13579', '3757', '11224466558888', '2468', '3537']], [['7778888', '444', '3757', '8888']], [['24628', '13579', '2468', '357']], [['7778888', '435744']], [['1111', '333', '555', '5555']], [['44413579', '8888']], [['2468', '3333', '2468']], [['77444888', '132321', '77444888']], [['77444888', '12321', '33335555533', '333333', '77444888']], [['55555', '1111', '3333', '5555', '7777', '9999']], [['778855588', '778888', '333', '333']], [['7778888', '88877788888', '444', '3757', '8888']], [['778855588', '778888', '333', '333', '778855588']], [['333']], [['7788878', '333333']], [['1111', '333']], [['11224466558888', '8888']], [['8888', '77444888', '333333', '77444888']], [['747444888']], [['13579', '24648', '357']], [['778888', '778888']], [['123', '3231', '321', '355555231', '12321']], [['778888', '333', '33', '4444333', '333']], [['7778888', '444', '8888', '444']], [['778888', '8778888', '778888']], [['7874448888', '77444888', '12321', '333333', '787444888', '77444888']], [['7778888', '444', '8888', '7778888']], [['7778888', '2468', '268']], [['7778888', '24268', '777', '2468']], [['77444888', '12321', '333333', '77444888', '333333']], [['004441357901111', '0', '00', '0001111']], [['1111', '333', '5555', '5555']], [['7778888', '77788888', '132321']], [['11224466558888', '55555', '1234567', '11224466558888']], [['1111']], [['1111', '333', '333']], [['1111', '333', '3']], [['747444888', '74447444888', '12321', '333333', '75555547444888', '774444888', '77444888']], [['77444888', '12321', '33335555533', '333333']], [['77444888', '132321', '774888']], [['778855588', '24628', '333', '778855588']], [['1111', '333', '3', '1111']], [['7474448833388', '7474448888']], [['2464877444888', '12321', '333333', '77444888', '333333']], [['2464877444888', '12321', '333333', '77444888', '333132321333']], [['778855588', '24628', '3', '000', '333']], [['13579', '357']], [['778855588', '24628', '3', '000', '333', '24628']], [['7878888', '778888', '7778888', '778888']], [['333', '333']], [['2464877444888', '12321', '333333', '77444888']], [['7733378888', '2468', '777', '2468']], [['1111', '3333', '5555', '7777', '9999', '1111']], [['778855588', '246', '333']], [['474413579', '44413579', '8888']], [['1111', '3333', '5555', '7777', '99999']], [['44413579', '8888', '8888']], [['44413579', '8888', '88888']], [['778888', '333', '33', '4444333', '333', '333', '333']], [['00333', '3333', '333']], [['13579', '2468', '24648', '357', '2468']], [['444', '7874448888', '8888', '8888']], [['77444888', '12321', '33335555533', '774484888', '333333', '77444888']], [['778855588', '778888', '333', '377888833']], [['435744']], [['778855588', '778888', '333', '377888833', '778855588']], [['778888', '333', '377888833', '778855588', '778888']], [['11224466558888', '55555', '12345246487', '1234567']], [['123', '3121', '123217777']], [['13579', '357', '13579', '13579']], [['747444888', '74447444888', '12321', '333333', '75555547444888', '77444888']], [['7778888', '77788888', '777788888', '132321']], [['004441357901111', '0', '00']], [['000000001', '222222200', '444444444', '666666677']], [['99', '8888', '55555']], [['101010101', '11010011', '10001100', '11111111']], [['123', '456', '789', '246', '802']], [['0', '2', '4', '6', '8', '000']], [['9999999999999999999999999', '1111111111111111111111111', '000000000000000', '33333333333333333333333333333']], [['246890', '24689013', '24689013579', '13579']], [['11111', '4444444444444444444444444444444', '555555555555555555555555', '33333333333333']], [['2468', '468', '0', '3579', '3579', '3579', '3579', '3579', '3579', '3579']], [['1234567890', '13579', '24680', '11111', '22222222222', '333333333333333']], [['123', '456', '246', '802']], [['11111', '824680888']], [['18023', '456', '789', '789', '246', '802']], [['2468', '4444444444444444444444444444444', '0', '3579', '3579', '3579', '3579', '3579', '3579', '3579']], [['123', '456', '246', '802', '246']], [['123', '456', '246', '802', '456']], [['13579', '123', '456', '246', '802', '456']], [['000000001', '222222200', '444444444', '666666677', '222222200']], [['1234567890', '13579', '24680', '11111', '22222222222', '333333333333333', '1234567890']], [['0', '2', '4', '6', '8', '000', '2']], [['101010101', '11010011', '10001100']], [['0', '2', '6', '8', '000', '2']], [['99', '8888', '8888']], [['123', '456', '246', '2646', '802', '246']], [['123', '456', '789', '246', '802', '123', '246', '246']], [['13579', '123', '456', '246', '802', '456', '456']], [['2', '6', '8', '000', '2']], [['2468', '4444444444444444444444444444444', '0', '3579', '3579', '3579', '3579', '3579', '3579', '3579', '3579']], [['18023', '4656', '789', '789', '246', '222222200']], [['9999999999999999999999999', '1111111111111111111111111', '000000000000000', '99999999999999', '33333333333333333333333333333']], [['123', '456', '2646', '802', '246']], [['123', '456', '1123', '246', '802']], [['24689013', '13579', '123', '456', '246', '802', '456', '456', '6', '246']], [['123', '456', '789', '246', '802', '123', '246', '666666677']], [['18023', '126468023', '4656', '789', '789', '246', '222222200']], [['24689013', '13579', '123', '456', '246', '802', '456', '456', '6', '33333333333333333333333333333', '246']], [['13579', '24680', '333333333333333', '1579', '22222222222', '333333333333333', '1234567890']], [['123', '456', '789', '24', '246', '802']], [['24689013', '13579', '123', '456', '000000000000000', '802', '456', '456', '6', '246']], [['10001100', '101010101']], [['24689013', '13579', '123', '456', '246', '802', '456', '456', '6', '555555555555555555555555', '246', '456', '456']], [['2468', '468', '0', '135799', '3579', '3579', '3579', '3579', '3579', '3579']], [['4', '11010011', '10001100']], [['999999999999911111111999999999999', '1111111111111111111111111', '000000000000000', '99999999999995555555555555555555555559', '33333333333333333333333333333']], [['101010101', '11010011', '110100111', '10001100', '101010101', '101010101']], [['18023', '456', '789', '789', '246', '802', '789']], [['2', '6', '8', '2']], [['000000001', '444444426464', '222222200', '444444444', '666666677', '222222200']], [['11111', '4444444444444444444444444444444', '555555555555555555555555', '33333333333333', '4444444444444444444444444444444']], [['18023', '456', '789', '789', '802']], [['123', '456', '246', '802', '456', '802']], [['1231123', '456', '246', '802']], [['10103333333333333310101', '11010011', '456', '10110100111001100']], [['0', '2', '6', '8', '000', '22', '8']], [['9999999999999999999999999', '1111111111111111111111111', '24689013579', '000000000000000', '99999999999999', '33333333333333333333333333333']], [['444444426464', '222222200', '444444444', '666666677']], [['999999999999911111111999999999999', '0000000000001579000', '1111111111111111111111111', '101010101', '99999999999995555555555555555555555559', '33333333333333333333333333333']], [['123', '456', '2426', '0000000000001579000', '123']], [['2468', '468', '0', '135799', '3579', '3579', '3579', '3579', '3579', '3579', '3579']], [['9999999999999999999999999', '1111111111111111111111111', '000000000000000', '33333333333333333333333333333', '1111111111111111111111111']], [['2468', '4444444444444444444444444444444', '0', '357999', '3579', '3579', '3579', '3579', '3579', '3579', '3579']], [['1111111111111111111111111', '24689013579', '000000000000000', '99999999999999', '33333333333333333333333333333']], [['2468', '468', '0', '24648', '135799', '3579', '3579', '3579', '3579', '3579', '3579']], [['99', '88888', '8888']], [['2468', '468', '0', '3579', '3579', '3579', '3579', '3579', '3579']], [['1111111111111111111111111', '000000000000222222200000', '33333333333333333333333333333']], [['11111', '1111', '4444444444444444444444444444444', '555555555555555555555555']], [['123', '246', '246']], [['789246', '18023', '456', '789', '89', '246', '802']], [['123', '45100011006', '789', '246', '802123', '802']], [['2468', '4444444444444444444444444444444', '1234567890', '3579', '3579', '3579', '3579', '555555555555555555555555', '3579', '3579', '3579']], [['1231123', '456', '110100111', '802', '1111111111111111111111111802']], [['10001100', '101010101', '101010101', '101010101']], [['2468', '4444444444444444444444444', '0', '3579', '3579', '3579', '3579', '3579', '3579', '3579', '3579']], [['99', '246890', '88888', '8888']], [['24689013', '13579', '444444426464', '456', '000000000000000', '802', '456', '456', '6', '246']], [['999910103333333333333310101111111999999999999', '0000000000001579000', '1111111111111111111111111', '101010101', '99999999999995555555555555555555555559', '33333333333333333333333333333']], [['123', '456', '246', '2646', '802', '246', '246']], [['1231123', '456', '110100111', '802', '1111111111111111111111111802', '802']], [['1234567890', '13579', '24680', '11111', '22222222222', '333333333333333', '13579']], [['2468', '88888', '0', '24648', '135799', '3579', '3579', '3579', '18023', '3579', '3579']], [['246890', '2046890', '24689013', '24689013579', '132579']], [['9999999999999999999999999', 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'1111111111111111111111111', '000000000000000', '8888', '333333333333333333333333333333', '00044444444444444444444444444444444444444444444444444444444444444000000000000', '3333333333333333333332468033333333']], [['2466', '456', '2', '789', '246', '22333333333333333333333333333332222200', '8002', '802', '802', '246', '2466']], [['111111', '11010011', '10001100', '11111111', '11111111', '11111111']], [['555555511111111111111111111111111555', '99', '8888', '55555', '55555']], [['2466', '0', '456', '789', '246', '789', '802', '2466', '789']], [['101010101', '55555', '10001100', '11111111', '11111111']], [['24689213', '1111111111111111111111111', '0000000000000000', '000000000000000', '33333333333333333333333333333', '3333333333333333333332468033333333', '333333333333333333333333333333']], [['24688029013579', '13579', '24689013', '24688029013579']], [['101010011', '1112133010011', '1010000000001', '1101001782222222222291', '111111111']], [['1223', '000000001', '222222200', '44444444499', '4', '666666677', '1223']], [['24633333333333333', '99', '8888', '44444444444444444444444444444444444444444444444444444444444444', '8888', '99']], [['24689013', '11111', '2468902463333333333333313579', '24689013579', '24689013579']], [['246890', '24689013', '24689013579', '44444444', '24101012468901300116890', '24689013579', '24689013579', '24689013579']], [['24633333333333333', '000000000000000006', '333333333333333', '8888', '44444444444444444444444444444444444444444444444444444444444444', '55555', '99', '44444444444444444444444444444444444444444444444444444444444444']], [['9999999999999999999999999', '000000000000000', '00000000000000', '333333333333333333333333333333', '9999999999999999999999999']], [['62466', '0', '456', '789', '246', '802', '246']], [['1111111111111111111111111', '33333333333333333333332468033333333', '00000000', '33333333333333333333333333333', '1111111111111111111111111']], [['111111', '11010011', '10001100', '11111111', '11111111']], [['11111111111111111111', '9999999999999999999999999', '99999999999999999999999999', '1111111111111111111111111', '000000000000000', '33333333333333333333333333333']], [['24633333333333333', '99', '8888', '5550555', '8888', '8888']], [['24633333333333333', '99', '8888', '550555', '8888', '8888']], [['44444444444444444444444444444', '11111', '44444444444444444444444444444444444444444444444444444444444444', '555555555555555555555555', '44444444444444444444444444444444444444444444444444444444444444', '555555555555555555555555', '44444444444444444444444444444135794444444444444444444444444', '44444444444444444444444444444135794444444444444444444444444']], [['2466', '0', '6', '3333333333333333333333333333333333332468033333333', '789', '333333333333333333333324368033333333', '246', '33333333333333333333332468033333333', '246', '0']], [['24633333333333333', '994444444444444444444444444444444', '99', '8888', '55555', '99']], [['24689213', '13579', '24689013']], [['123', '456', '78222222222229', '246', '802', '782222222222229', '456', '3', '802']], [['4444444444444444444444444444444', '555555555555555555555555', '111111', '33333333333333', '33333333333333']], [['24689213', '2442689013', '13579', '242689013', '13579', '24689213']], [['1111111111111111111111111', '000000000000000', '33333333333333333333332468033333333', '33333333333333333333333333333', '11111111111111118789', '1111111111111111111111111']], [['11111', '444444444444444444444444444444', '33333333333333']], [['11010011', '100011000', '11111111', '11010011', '33333333333333', '11010011', '33333333333333']], [['1111111111111111111111111', '0044444000000000000000', '000000000000000', '33333333333333333333332468033333333', '33333333333333333333333333333', '00000000000000000', '3333333333333333333332468033333333', '33333333333333333333332468033333333', '3333333333333333333333333333333', '000000000000000']], [['000000001', '444444444444444444444444444444444444444444444444444444444444444444444444', '222222200', '662468901366766677', '6666666677', '000000001', '66246890136666677', '444444444444444444444444444444444444444444444444444444444444444444444444', '666666677']], [['2466', '2426', '2462426890136', '123', '456', '789', '246', '802', '246']], [['2466', '0', '456', '789', '246', '789', '802', '2466', '555555511111111111111111111111111555', '789']], [['550000000015', '99', '8888', '55555', '55555', '55555', '99']], [['11111', '4444444444444444444444444444444', '555555555555555555555555', '111111', '33333333333333', '33333333333333', '555555555555555555555555', '11111']], [['24689013', '24689013579', '2468902463333333333333313579', '2264646896013579', '24689013579']], [['1112133010011', '10100000001', '11010011', '10001100', '111111111', '111111111']], [['9999999999999999999999999', '1111111111111111111111111', '8888', '1112133010011', '333333333333333333333333333333']], [['11010011', '4444444444444444444444444444444', '10001100', '11111111', '355555555555555555555555553333333333333', '33333333333333', '11010011', '33333333333333', '33333333333333']], [['2468', '468', '0', '3579', '3579', '24633333333333333', '33579', '8789', '3579', '3579', '3579']], [['11111', '555555555555555555555555', '111111', '33333333333333', '33333333333333', '33333333333333']], [['44', '0', '6000000000000000', '2', '4', '6', '8', '22', '000', '6', '6']], [['1001010101', '11010011', '78', '10001100', '44444444444444444444444444444135794444444444444444444444444']], [['24689213', '13579', '2468901352463333333333333379', '242689013', '13579']], [['1112133010011', '10100000001', '333333333333333333333324680333333', '10001100', '111111111', '111111111']], [['101010011', '1112133010011', '1010000000001', '11010011', '11112468901311111']], [['0', '6000000000000000', '2', '4', '6', '8', '88', '22', '000']], [['11111', '3579', '5555555555555555555555555', '111111', '33333333333333', '33333333333333']], [['555555511111111111111111111111111555', '55555551111124111111111111111111111555', '99', '8888', '5524666246890136666677555', '555555511111111111111111111111111555']], [['2466', '00', '456', '789', '78', '246', '789', '860000000000000002', '2466', '2466']], [['333333333333333333333333333333', '222222200', '666666677', '000000001', '000000001', '333333333333333333333333333333']], [['44444444444444444444444444444', '11111', '555555555555555555555555', '555555555555555555555555', '44444444444444444444444444444135794444444444444444444444444', '44444444444444444444444444444135794444444444444444444444444', '555555555555555555555555']], [['1111111111111111111111111', '000000000000000', '33333333333333333333333333333', '1111111111111111111111111', '33333333333333333333333333333']], [['11111', '44444444444444444444444444444444444444444444444444444444444444', '555555555555555555555555', '44444444444444444444444444444444444444444444444444444444444444', '444444444444444444444444444444444444444444444444444444444444444', '555555555555555555555555', '44444444444444444444444444444444444444444444444444444444444444', '44444444444444444444444444444444444444444444444444444444444444']], [['1111111111111111111111111', '3333333333333333333332468033333333', '33333333333333333333333333333', '1111111111111111111111111', '1111111111111111111111111']], [['9999999999999999999999999', '1111111111111111111111111', '8888', '1111111111010011', '33333333333333333333333333333', '3333333333333333333332468033333333', '8888']], [['000000001', '222222200', '66246890136666677', '44444444', '22222222222', '666666677', '0000033333333333333333333324680333000000001333330001', '666666677', '000000001']], [['24633333333333333', '99', '333333333333333', '8888', '111010011', '55555', '99']], [['11111', '44444444444444444444444444444444444444444444444444444444444444', '555555555555555555555555', '44444444444444444444444444444444444444444444444444444444444444', '444444444444444444444444444444444444444444444444444444444444444', '555555555555555555555555', '44444444444444444444444444444444444444444444444444444444444444', '44444444444444444444444444444444444444444444444444444444444444', '44444444444444444444444444444444444444444444444444444444444444']], [['11111111111111111111', '000000000000000', '3333333333333333333332468033333333', '33333333333333333333333333333', '1111111111111111111111111', '11111111111111111111111111', '33333333333333333333333333333']], [['000000001', '2462', '222222200', '66246890136666677', '6667', '444444444', '66697', '666666677', '000000001']], [['9999999999999999999999999', '1111111111111111111111111', '11111111111111111111111111', '0000000000000', '33333333333333333333333333333', '3333333333333333333333333333333', '333333333333333333333333333333']], [['1111111111111111111111111', '0000000000000000', '33333333333333333333333333333', '3333333333333333333332468033333333', '33333333333333333333333', '0000000000000000']], [['0', '24628', '0000', '6000000000000000', '2', '4', '6', '8', '22', '000']], [['123', '456', '2468901352463333333333333379', '246', '802', '24689013524633333333333333379']], [['2468', '468', '0', '35779', '33333333333333333333333333333', '3579', '24633333333333333', '3579', '78222222222229', '24', '3579']], [['12000033333333333333333333333333333333333333333324680333333333333333333246000000000003', '456', '3579', '78222222222229', '246', '22333333333333333333333333333332222200', '3333334444444433333333333333333333333']], [['2466', '0', '456', '789', '246', '789', '8002']], [['000000001', '444444444444444444444444444444444444444444444444444444444444444444444444', '222222200', '662468901366766677', '666666677', '666666677', '000000001', '22222266246890136666677200', '44444444444444444444444444444444444444444444444444444444444444', '444444444444444444444444444444444444444444444444444444444444444', '666666677']], [['1223', '222222200', '44444444499', '4', '666666677']], [['24689013', '24689013579', '44444444', '24689013579']], [['11111111111111111111', '99999999999999999999999999', '1111111111111111111111111', '000000000000000', '33333333333333333333333333333']], [['1010000000001', '010011', '10001100', '11111111', '000000024601', '11010011']], [['9999999999999999999999999', '1111111111111111111111111', '10100000001', '333333333333333333333333333333', '1111111111111111111111111']], [['2466', '0', '456', '789', '78', '246', '789', '245555555111111111111111111111111115556', '802', '2466']], [['2466', '2461010000001', '1223', '789', '24666246890136666677', '3333333333333333333332468033333333', '246']], [['123', '2462', '456', '789', '246', '802', '789']]]
results = [['the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 8n the str8ng 8 of the 8nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.'], [], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.'], ['the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.'], ['the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.'], ['the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.'], ['the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 11n the str11ng 11 of the 11nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.'], ['the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.'], ['the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 8n the str8ng 8 of the 8nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.'], ['the number of odd elements 9n the str9ng 9 of the 9nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.'], ['the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 7n the str7ng 7 of the 7nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 11n the str11ng 11 of the 11nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 10n the str10ng 10 of the 10nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.'], ['the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 11n the str11ng 11 of the 11nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 7n the str7ng 7 of the 7nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 7n the str7ng 7 of the 7nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 9n the str9ng 9 of the 9nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 8n the str8ng 8 of the 8nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 24n the str24ng 24 of the 24nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 24n the str24ng 24 of the 24nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.'], ['the number of odd elements 33n the str33ng 33 of the 33nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 38n the str38ng 38 of the 38nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 24n the str24ng 24 of the 24nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 19n the str19ng 19 of the 19nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 9n the str9ng 9 of the 9nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 33n the str33ng 33 of the 33nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 38n the str38ng 38 of the 38nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 24n the str24ng 24 of the 24nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 24n the str24ng 24 of the 24nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 41n the str41ng 41 of the 41nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 38n the str38ng 38 of the 38nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 9n the str9ng 9 of the 9nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.'], ['the number of odd elements 19n the str19ng 19 of the 19nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 9n the str9ng 9 of the 9nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 19n the str19ng 19 of the 19nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 9n the str9ng 9 of the 9nput.', 'the number of odd elements 9n the str9ng 9 of the 9nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 11n the str11ng 11 of the 11nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 9n the str9ng 9 of the 9nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 33n the str33ng 33 of the 33nput.', 'the number of odd elements 20n the str20ng 20 of the 20nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 33n the str33ng 33 of the 33nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 38n the str38ng 38 of the 38nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 8n the str8ng 8 of the 8nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 24n the str24ng 24 of the 24nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 11n the str11ng 11 of the 11nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 11n the str11ng 11 of the 11nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 33n the str33ng 33 of the 33nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 38n the str38ng 38 of the 38nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 41n the str41ng 41 of the 41nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 9n the str9ng 9 of the 9nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.'], ['the number of odd elements 33n the str33ng 33 of the 33nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 27n the str27ng 27 of the 27nput.', 'the number of odd elements 38n the str38ng 38 of the 38nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 11n the str11ng 11 of the 11nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 24n the str24ng 24 of the 24nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 38n the str38ng 38 of the 38nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 17n the str17ng 17 of the 17nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 11n the str11ng 11 of the 11nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 9n the str9ng 9 of the 9nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 24n the str24ng 24 of the 24nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 7n the str7ng 7 of the 7nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 9n the str9ng 9 of the 9nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 20n the str20ng 20 of the 20nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 33n the str33ng 33 of the 33nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 34n the str34ng 34 of the 34nput.', 'the number of odd elements 38n the str38ng 38 of the 38nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.'], ['the number of odd elements 33n the str33ng 33 of the 33nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 38n the str38ng 38 of the 38nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 24n the str24ng 24 of the 24nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 9n the str9ng 9 of the 9nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 26n the str26ng 26 of the 26nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 24n the str24ng 24 of the 24nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 9n the str9ng 9 of the 9nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 9n the str9ng 9 of the 9nput.', 'the number of odd elements 9n the str9ng 9 of the 9nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 33n the str33ng 33 of the 33nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 26n the str26ng 26 of the 26nput.', 'the number of odd elements 34n the str34ng 34 of the 34nput.', 'the number of odd elements 38n the str38ng 38 of the 38nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 27n the str27ng 27 of the 27nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 8n the str8ng 8 of the 8nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 19n the str19ng 19 of the 19nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 9n the str9ng 9 of the 9nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.'], ['the number of odd elements 41n the str41ng 41 of the 41nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 38n the str38ng 38 of the 38nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 24n the str24ng 24 of the 24nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 10n the str10ng 10 of the 10nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 17n the str17ng 17 of the 17nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 31n the str31ng 31 of the 31nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 7n the str7ng 7 of the 7nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 17n the str17ng 17 of the 17nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 8n the str8ng 8 of the 8nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 24n the str24ng 24 of the 24nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 11n the str11ng 11 of the 11nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 7n the str7ng 7 of the 7nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 33n the str33ng 33 of the 33nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 38n the str38ng 38 of the 38nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 9n the str9ng 9 of the 9nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 9n the str9ng 9 of the 9nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 9n the str9ng 9 of the 9nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 17n the str17ng 17 of the 17nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 8n the str8ng 8 of the 8nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 17n the str17ng 17 of the 17nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 11n the str11ng 11 of the 11nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 24n the str24ng 24 of the 24nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 33n the str33ng 33 of the 33nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 10n the str10ng 10 of the 10nput.', 'the number of odd elements 38n the str38ng 38 of the 38nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 9n the str9ng 9 of the 9nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 8n the str8ng 8 of the 8nput.'], ['the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 9n the str9ng 9 of the 9nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 9n the str9ng 9 of the 9nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 24n the str24ng 24 of the 24nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 11n the str11ng 11 of the 11nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 24n the str24ng 24 of the 24nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 8n the str8ng 8 of the 8nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 33n the str33ng 33 of the 33nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 19n the str19ng 19 of the 19nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 19n the str19ng 19 of the 19nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 26n the str26ng 26 of the 26nput.', 'the number of odd elements 9n the str9ng 9 of the 9nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 19n the str19ng 19 of the 19nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 9n the str9ng 9 of the 9nput.'], ['the number of odd elements 19n the str19ng 19 of the 19nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 23n the str23ng 23 of the 23nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 9n the str9ng 9 of the 9nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 46n the str46ng 46 of the 46nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 11n the str11ng 11 of the 11nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 24n the str24ng 24 of the 24nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 24n the str24ng 24 of the 24nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 7n the str7ng 7 of the 7nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 16n the str16ng 16 of the 16nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 28n the str28ng 28 of the 28nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 24n the str24ng 24 of the 24nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 9n the str9ng 9 of the 9nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 9n the str9ng 9 of the 9nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 24n the str24ng 24 of the 24nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 26n the str26ng 26 of the 26nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 9n the str9ng 9 of the 9nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.'], ['the number of odd elements 11n the str11ng 11 of the 11nput.', 'the number of odd elements 11n the str11ng 11 of the 11nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 11n the str11ng 11 of the 11nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 9n the str9ng 9 of the 9nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 26n the str26ng 26 of the 26nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 17n the str17ng 17 of the 17nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 7n the str7ng 7 of the 7nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 26n the str26ng 26 of the 26nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 26n the str26ng 26 of the 26nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 52n the str52ng 52 of the 52nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 24n the str24ng 24 of the 24nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 20n the str20ng 20 of the 20nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 26n the str26ng 26 of the 26nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 17n the str17ng 17 of the 17nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 7n the str7ng 7 of the 7nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 9n the str9ng 9 of the 9nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 11n the str11ng 11 of the 11nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 9n the str9ng 9 of the 9nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 11n the str11ng 11 of the 11nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 24n the str24ng 24 of the 24nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 24n the str24ng 24 of the 24nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 33n the str33ng 33 of the 33nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 10n the str10ng 10 of the 10nput.', 'the number of odd elements 38n the str38ng 38 of the 38nput.'], ['the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 41n the str41ng 41 of the 41nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 38n the str38ng 38 of the 38nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 8n the str8ng 8 of the 8nput.', 'the number of odd elements 9n the str9ng 9 of the 9nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 24n the str24ng 24 of the 24nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 11n the str11ng 11 of the 11nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 11n the str11ng 11 of the 11nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 26n the str26ng 26 of the 26nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 19n the str19ng 19 of the 19nput.', 'the number of odd elements 22n the str22ng 22 of the 22nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 9n the str9ng 9 of the 9nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 9n the str9ng 9 of the 9nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 13n the str13ng 13 of the 13nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 7n the str7ng 7 of the 7nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 24n the str24ng 24 of the 24nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 7n the str7ng 7 of the 7nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 8n the str8ng 8 of the 8nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 24n the str24ng 24 of the 24nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 24n the str24ng 24 of the 24nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 31n the str31ng 31 of the 31nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.'], ['the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 24n the str24ng 24 of the 24nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.'], ['the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 9n the str9ng 9 of the 9nput.'], ['the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 24n the str24ng 24 of the 24nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 24n the str24ng 24 of the 24nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 24n the str24ng 24 of the 24nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 31n the str31ng 31 of the 31nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 26n the str26ng 26 of the 26nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 8n the str8ng 8 of the 8nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 60n the str60ng 60 of the 60nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.'], ['the number of odd elements 60n the str60ng 60 of the 60nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 20n the str20ng 20 of the 20nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 8n the str8ng 8 of the 8nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 60n the str60ng 60 of the 60nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 20n the str20ng 20 of the 20nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 20n the str20ng 20 of the 20nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 8n the str8ng 8 of the 8nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 60n the str60ng 60 of the 60nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 28n the str28ng 28 of the 28nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 8n the str8ng 8 of the 8nput.', 'the number of odd elements 8n the str8ng 8 of the 8nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 23n the str23ng 23 of the 23nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 60n the str60ng 60 of the 60nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 44n the str44ng 44 of the 44nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 20n the str20ng 20 of the 20nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 20n the str20ng 20 of the 20nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 9n the str9ng 9 of the 9nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 9n the str9ng 9 of the 9nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 9n the str9ng 9 of the 9nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 9n the str9ng 9 of the 9nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 33n the str33ng 33 of the 33nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 8n the str8ng 8 of the 8nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 44n the str44ng 44 of the 44nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 44n the str44ng 44 of the 44nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 20n the str20ng 20 of the 20nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 24n the str24ng 24 of the 24nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 24n the str24ng 24 of the 24nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 24n the str24ng 24 of the 24nput.', 'the number of odd elements 60n the str60ng 60 of the 60nput.', 'the number of odd elements 24n the str24ng 24 of the 24nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 8n the str8ng 8 of the 8nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.'], ['the number of odd elements 62n the str62ng 62 of the 62nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.'], ['the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.'], ['the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.'], ['the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 20n the str20ng 20 of the 20nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 20n the str20ng 20 of the 20nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 26n the str26ng 26 of the 26nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 26n the str26ng 26 of the 26nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 31n the str31ng 31 of the 31nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 24n the str24ng 24 of the 24nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 24n the str24ng 24 of the 24nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 60n the str60ng 60 of the 60nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 26n the str26ng 26 of the 26nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 44n the str44ng 44 of the 44nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 60n the str60ng 60 of the 60nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.'], ['the number of odd elements 9n the str9ng 9 of the 9nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 9n the str9ng 9 of the 9nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 60n the str60ng 60 of the 60nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 24n the str24ng 24 of the 24nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 8n the str8ng 8 of the 8nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 20n the str20ng 20 of the 20nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.'], ['the number of odd elements 7n the str7ng 7 of the 7nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 26n the str26ng 26 of the 26nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 24n the str24ng 24 of the 24nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 24n the str24ng 24 of the 24nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 20n the str20ng 20 of the 20nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 62n the str62ng 62 of the 62nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.'], ['the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 44n the str44ng 44 of the 44nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 17n the str17ng 17 of the 17nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 44n the str44ng 44 of the 44nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 24n the str24ng 24 of the 24nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.'], ['the number of odd elements 44n the str44ng 44 of the 44nput.', 'the number of odd elements 20n the str20ng 20 of the 20nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 44n the str44ng 44 of the 44nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 20n the str20ng 20 of the 20nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 31n the str31ng 31 of the 31nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 31n the str31ng 31 of the 31nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 9n the str9ng 9 of the 9nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 9n the str9ng 9 of the 9nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 9n the str9ng 9 of the 9nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 9n the str9ng 9 of the 9nput.', 'the number of odd elements 9n the str9ng 9 of the 9nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 26n the str26ng 26 of the 26nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 31n the str31ng 31 of the 31nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.'], ['the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 20n the str20ng 20 of the 20nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 44n the str44ng 44 of the 44nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 17n the str17ng 17 of the 17nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 55n the str55ng 55 of the 55nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 26n the str26ng 26 of the 26nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 60n the str60ng 60 of the 60nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 9n the str9ng 9 of the 9nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 8n the str8ng 8 of the 8nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 9n the str9ng 9 of the 9nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.'], ['the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 33n the str33ng 33 of the 33nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 8n the str8ng 8 of the 8nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 33n the str33ng 33 of the 33nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 8n the str8ng 8 of the 8nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 8n the str8ng 8 of the 8nput.', 'the number of odd elements 8n the str8ng 8 of the 8nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 26n the str26ng 26 of the 26nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 31n the str31ng 31 of the 31nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 24n the str24ng 24 of the 24nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 60n the str60ng 60 of the 60nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 60n the str60ng 60 of the 60nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 24n the str24ng 24 of the 24nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 60n the str60ng 60 of the 60nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 28n the str28ng 28 of the 28nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 9n the str9ng 9 of the 9nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 60n the str60ng 60 of the 60nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 9n the str9ng 9 of the 9nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 20n the str20ng 20 of the 20nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 8n the str8ng 8 of the 8nput.', 'the number of odd elements 39n the str39ng 39 of the 39nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 62n the str62ng 62 of the 62nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 8n the str8ng 8 of the 8nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 13n the str13ng 13 of the 13nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 39n the str39ng 39 of the 39nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 7n the str7ng 7 of the 7nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.'], ['the number of odd elements 53n the str53ng 53 of the 53nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 17n the str17ng 17 of the 17nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 55n the str55ng 55 of the 55nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 26n the str26ng 26 of the 26nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 44n the str44ng 44 of the 44nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 9n the str9ng 9 of the 9nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 9n the str9ng 9 of the 9nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 62n the str62ng 62 of the 62nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 8n the str8ng 8 of the 8nput.', 'the number of odd elements 8n the str8ng 8 of the 8nput.', 'the number of odd elements 8n the str8ng 8 of the 8nput.'], ['the number of odd elements 36n the str36ng 36 of the 36nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 8n the str8ng 8 of the 8nput.', 'the number of odd elements 8n the str8ng 8 of the 8nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.'], ['the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 9n the str9ng 9 of the 9nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 7n the str7ng 7 of the 7nput.', 'the number of odd elements 9n the str9ng 9 of the 9nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 20n the str20ng 20 of the 20nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 9n the str9ng 9 of the 9nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.'], ['the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.'], ['the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 8n the str8ng 8 of the 8nput.', 'the number of odd elements 8n the str8ng 8 of the 8nput.'], ['the number of odd elements 20n the str20ng 20 of the 20nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 26n the str26ng 26 of the 26nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.'], ['the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 24n the str24ng 24 of the 24nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 24n the str24ng 24 of the 24nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 44n the str44ng 44 of the 44nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 31n the str31ng 31 of the 31nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 24n the str24ng 24 of the 24nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 18n the str18ng 18 of the 18nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 8n the str8ng 8 of the 8nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 31n the str31ng 31 of the 31nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 36n the str36ng 36 of the 36nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 24n the str24ng 24 of the 24nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 24n the str24ng 24 of the 24nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 20n the str20ng 20 of the 20nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.'], ['the number of odd elements 9n the str9ng 9 of the 9nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 9n the str9ng 9 of the 9nput.', 'the number of odd elements 9n the str9ng 9 of the 9nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 9n the str9ng 9 of the 9nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 8n the str8ng 8 of the 8nput.', 'the number of odd elements 39n the str39ng 39 of the 39nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 24n the str24ng 24 of the 24nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 20n the str20ng 20 of the 20nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 9n the str9ng 9 of the 9nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 28n the str28ng 28 of the 28nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 9n the str9ng 9 of the 9nput.', 'the number of odd elements 9n the str9ng 9 of the 9nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 9n the str9ng 9 of the 9nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 12n the str12ng 12 of the 12nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.'], ['the number of odd elements 36n the str36ng 36 of the 36nput.', 'the number of odd elements 36n the str36ng 36 of the 36nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 10n the str10ng 10 of the 10nput.', 'the number of odd elements 36n the str36ng 36 of the 36nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 24n the str24ng 24 of the 24nput.', 'the number of odd elements 24n the str24ng 24 of the 24nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 24n the str24ng 24 of the 24nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 24n the str24ng 24 of the 24nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 24n the str24ng 24 of the 24nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 13n the str13ng 13 of the 13nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 31n the str31ng 31 of the 31nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 15n the str15ng 15 of the 15nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 24n the str24ng 24 of the 24nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 24n the str24ng 24 of the 24nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 20n the str20ng 20 of the 20nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 26n the str26ng 26 of the 26nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 26n the str26ng 26 of the 26nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 31n the str31ng 31 of the 31nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 23n the str23ng 23 of the 23nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 20n the str20ng 20 of the 20nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 21n the str21ng 21 of the 21nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 14n the str14ng 14 of the 14nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 62n the str62ng 62 of the 62nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 4n the str4ng 4 of the 4nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 6n the str6ng 6 of the 6nput.'], ['the number of odd elements 20n the str20ng 20 of the 20nput.', 'the number of odd elements 26n the str26ng 26 of the 26nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.'], ['the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 8n the str8ng 8 of the 8nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.'], ['the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 30n the str30ng 30 of the 30nput.', 'the number of odd elements 25n the str25ng 25 of the 25nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 36n the str36ng 36 of the 36nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 3n the str3ng 3 of the 3nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 5n the str5ng 5 of the 5nput.', 'the number of odd elements 29n the str29ng 29 of the 29nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.'], ['the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 0n the str0ng 0 of the 0nput.', 'the number of odd elements 2n the str2ng 2 of the 2nput.']]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(odd_count)
print('___SENTINEL___')
| a4e44ed3ad1afc4c02f2782f23776e11 |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-4
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-04, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[['1234567']], [['3', '11111111']]]
results = [['the number of odd elements 4n the str4ng 4 of the 4nput.'], ['the number of odd elements 1n the str1ng 1 of the 1nput.', 'the number of odd elements 8n the str8ng 8 of the 8nput.']]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(odd_count)
print('___SENTINEL___')
| 45600430ef00b70966636c6907e24e56 |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-6
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-07, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[[2, 3, 4, 1, 2, 4]], [[-1, -2, -3]], [[-1, -2, -3, 2, -10]], [[-9999999999999999]], [[0, 10, 20, 1000000]], [[-1, -2, -3, 10, -5]], [[100, -1, -2, -3, 10, -5]], [[10, 11, 13, 8, 3, 4]], [[100, -33, 32, -1, 0, -2]], [[-10]], [[7]], [[1, -1]], [[2, 4, -1, 3, 5, -4, 1, -2]], [[4, -4, -5, -3, 5, -1, 6]], [[-10, 5, 3, -2, 0, 4, -8]], [[2, 1, -3, 4, -1, 2, 1, -5, 4]], [[-2, -5, -8, -3, -1, -2, -4]], [[3, 2, -5, 4, 1, -3, 2, -2, 5]], [[1, 2, -3, -4, 7, -6, 8, -10]], [[-1, -2, -3, -4]], [[-2, 3, -1, -4, 6, -7, 8, -5]], [[-10, -15, -20, -25, -30]], [[-2, -1, -4, 6, -7, 8, -5]], [[-2, -1, -4, 6, -7, 8, -4, -5]], [[-5, 4, -4, -5, -3, 5, -1, 6]], [[1, 2, -3, -4, 7, -6, 8, -10, -6]], [[-2, 1, -4, 6, -7, -4, -5]], [[-2, 3, -1, -4, -2, 6, 8, -5, 8]], [[-2, 1, -4, 6, -7, -4, -5, 1]], [[-2, -5, -8, -3, -1, 5, -4]], [[3, 2, -5, 4, 2, -3, 2, -2, 5]], [[3, 2, -5, 4, 2, -3, 2, 5]], [[-10, 4, 5, 3, -2, 0, 4, -8]], [[-5, -8, -3, -1, -2, -4, 6, -1]], [[-2, 1, 2, 6, -7, -3, -5, 1, -2]], [[-2, -5, -8, -3, -1, -2, -4, -3]], [[-5, 4, -3, -5, -3, 5, -1, 6]], [[-2, -1, -4, 6, 7, -7, 8, -6]], [[-2, 1, -4, 6, -7, -4, -5, 1, -4]], [[1, 2, -3, 7, -6, 8, -10]], [[-5, -8, -3, -2, -4, 6, -1]], [[-2, 3, -1, -4, 6, 8, -5, -2]], [[-6, -5, 4, -3, -5, -3, 5, -1, 6]], [[1, 2, 7, -6, 8]], [[-5, 2, 4, -1, 3, 3, 5, -4, 1, -2]], [[1, -3, 4, -1, 2, 1, -5, 4]], [[-2, -1, -4, 8, -5, -2, 6]], [[-3, -2, -3, -4]], [[-2, -5, 8, -8, -3, -1, -2, 0, -4]], [[-2, -5, 8, -8, -3, -1, -2, -2, -4]], [[-2, 1, -4, -7, -4, -5, 1, -4]], [[-8, -3, -2, -4, 6, -1]], [[3, 2, -5, 4, 2, -3, 2, -1]], [[-5, -1, -2, -4, 6, -1, -1]], [[1, 2, -6, 8]], [[-5, -1, -2, -2, -4, 6, -1, -1]], [[-5, -8, -3, -2, -3, 6, -1]], [[-5, -1, 3, -2, -4, 6, -1, -1]], [[3, 2, -5, 4, 1, -3, 1, -2, 5]], [[-2, 1, -4, 6, -7, 0, -4, -5, 1]], [[2, 1, -3, -1, 2, 1, -5, 5]], [[-2, -5, -8, -3, -1, -2, -4, -10, -3]], [[-5, 4, -4, -5, -3, 5, -30, 6]], [[-15, 2, -3, -4, 7, 8, -10]], [[-5, -4, -1, -2, -4, 6, -1, -1]], [[-2, 1, -4, 6, -10, 0, -4, -5, 1]], [[-2, 3, -4, -2, 6, 8, -5, 9, -1]], [[-3, -4]], [[-2, 1, -4, 6, -7, 2, -4, -5, 1, -4, -4]], [[-2, 1, 2, 6, -7, -4, -3, -5, 1, -2, 2]], [[-3, -2, -3, 4, -4]], [[3, 2, -5, 4, 2, -3, 2, 5, 4]], [[-5, -8, -3, -1, -2, -4, -1]], [[2, 1, -3, -1, 2, 1, -5, 5, -1]], [[2, 1, 2, -3, -1, 1, -5, 5]], [[-5, -1, -2, -4, 6, 9, -1]], [[-6, 6, 5, 3, -2, 0, 4, -8]], [[-5, 4, -30, -3, 5, -1, 6]], [[-8, -3, -2, -4, 6, -1, -8]], [[-2, 1, 2, 6, -7, -4, -3, -5, 1, -2, 2, 1]], [[-2, -4, 6, -7, -25, -5, 1, -4]], [[-6, 6, 5, 3, -2, -3, 0, 4, 3, -8]], [[1, 2, -3, 7, -6, 8, -10, 1]], [[-2, -5, -8, -3, -1, -2, -4, -4]], [[-5, -8, -3, -2, -3, 6, -3, -1]], [[0, -3, -2, -4, 6, -1, -8, -8]], [[1, 2, -3, -4, 7, -6, 8, -10, -6, -6]], [[-2, -1, -4, 6, -7, 8, -5, -2]], [[0, -7, -2, -3, -4]], [[1, -4, 6, -7, -4, -5]], [[-3, -5, -8, -3, -2, -4, -10, -3]], [[5, -1, -2, -2, -4, 6, -1, -1]], [[2, 4, -1, 3, 5, -4, 1, 5, -2]], [[3, 2, -5, 3, 2, -3, 2, -1]], [[2, 1, 2, -3, -1, 1, -5, 5, 5]], [[-2, 3, -4, -2, 6, 8, -5, 9, -1, -2]], [[-15, 2, -3, -4, 7, 8, -10, -10, 2]], [[-2, 3, -1, -4, 6, 8, -5, -2, 3]], [[-5, -1, -2, -4, 6, -1, -1, -1]], [[2, -5, 4, -1, 3, 5, -4, 1, -2]], [[-3, -5, -8, -3, -2, -4, -10]], [[-2, 3, -4, 6, -5, 9, -6, -2, 3]], [[3, 2, -5, 4, 0, 1, -3, 2, -2, 5]], [[-3, -5, -8, -3, -2, -4, -3]], [[-7, -8, -3, -2, -4, 6, -1, -8, -3]], [[-2, 3, -2, -4, 6, -7, 8, -5]], [[1, 3, 2, -3, 7, -6, 8, -10, 1, 1]], [[-1, -5, -1, -2, -2, -4, 6, -1, -1]], [[-5, -4, -1, -2, -4, 6, -1, -1, -4]], [[-5, -4, -1, -2, -4, 6, -3, -1, -1]], [[-2, 3, -2, -4, 6, -7, 8, -5, -7]], [[-5, 2, 4, -1, 3, 3, 5, -15, -4, 1, -2]], [[1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1]], [[-100, 50, -50, 100, -100, 50, -50, 100, -100, 50, -50, 100, -100, 50, -50, 100, -100, 50, -50, 100]], [[100000, -50000, 50000, -100000, 100000, -50000, 50000, -100000, 100000, -50000, 50000, -100000, 100000, -50000, 50000, -100000, 100000, -50000, 50000, -100000]], [[1, -2, 3, -4, 5, -6, 7, -8, 9, 4, -3, 2, -1]], [[-10, 20, -30, 40, -50, 60, -70, 80, -90, 100]], [[1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1]], [[-1, 2, -3, 4, -5, 6, -7, 8, -9, 10]], [[10, -20, 30, -40, 50, -60, 70, -80, 90, -100]], [[1, -2, 3, -4, 5, -6, 7, -8, 9, -10]], [[-10, -9, -8, -7, -6, -5, -4, -3, -2, -1]], [[10, -20, 30, -40, 50, -60, 70, -80, 60, 90, -100]], [[1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 30, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1]], [[1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 30, -1, 1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1]], [[-39, 10, -20, 30, -40, 50, -60, -80, 60, 90, -100]], [[-100, 50, -50, 100, -100, 50, -50, 100, -100, 50, -50, 100, -100, 50, -50, 100, -100, 50, -51, 100]], [[-8, -1, 2, -3, 4, -5, 6, -7, 8, -9, 10]], [[-100, 50, -50, 100, -100, 50, -50, 100, -100, 50, -50, 100, -100, 50, -50, 100, -100, 9, -50, 100, 50]], [[-100, 50, 100, -100, 50, -50, 100, -100, 50, -50, 100, -100, 50, -50, 100, -100, 50, -50, 100]], [[1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 2, 1, -1, 30, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, -39]], [[-100, 50, -50, 100, 50, -50, 100, -100, -50, 100, -100, 50, -50, 100, -100, 50, -51, 100]], [[-100, -10, -50, 100, 50, -50, 100, -100, -50, 100, -100, 50, -50, 100, -100, -100000, 50, -51, 100]], [[1, -2, 3, -4, 5, -6, 7, -8, 9, 4, 1, 2, -1]], [[-100, 50, -50, 100, 50, -50, 100, -100, -50, 100, -100, 50, -50, 100, -100, 50, -51, 100, -100]], [[-1, -8, 2, -3, 4, -5, 6, -7, 8, -9, 10]], [[1, -2, 3, -4, 5, -6, 7, -100, -9, 9, -10]], [[-100, 50, -50, 100, 50, -50, 100, -100, -50, 100, -3, -100, 50, -50, 70, -100, 50, -51, 100, -100]], [[-1, -8, 2, -3, 4, -5, -7, 8, -9, 10]], [[1, -2, 3, -4, 5, -6, 7, -8, 9, 4, 1, 6, 2, -1, -6]], [[1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 30, -1, 1, -1, 1, -1, 1, 1, -1, 1, -1, 1, -1, 1, -1]], [[-100, -10, -50, 100, 50, -50, -100, -50, 100, -100, 50, -50, 100, -100, -100000, 50, -51, 100]], [[1, -2, 3, -4, 5, -6, 7, -8, 9, -10, -4]], [[1, -1, 1, -1, -1, 1, -1, 1, -9, -1, 1, -1]], [[1, -2, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1]], [[-39, 10, -20, 30, -40, 50, -60, -80, 4, 90, -100]], [[1, -2, 3, -4, 5, -6, 7, -8, 9, 4, 4, 1, 6, 2, -1, -6]], [[-1, 2, -3, 4, 6, -7, 8, -9, 10]], [[-100, -10, -50, 100, 50, -50, -100, -50, 100, -100, 50, -50, 100, -100, -100000, -51, 100]], [[1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 30, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1]], [[1, -1, 1, -1, 1, -1, 1, -100, -1, 1, 1, -1, 1, -1]], [[-100, 50, -50, 100, -100, 50, -50, 100, -100, 50, -50, 100, -100, 50, -50, 100, -100, 50, -51, 100, 100]], [[-100, 50, -50, 100, -100, 50, -50, 100, -100, 50, -50, 100, -100, 50, -50, 100, -100, 50, -50, 100, 100]], [[1, -2, 3, -4, 5, -6, 7, -8, 9, 4, 1, 2, 70, -1]], [[1, -2, 3, -4, 5, -6, 7, -8, 9, -10, -10]], [[1, -2, 3, -4, 5, -6, 7, -8, 9, -10, 7]], [[1, -2, 3, -5, 5, -6, 7, -8, 9, 4, 2, 2, 70, -1]], [[1, -2, 3, -4, 5, -6, 7, -6, 9, 4, 1, 6, 2, -1, -6]], [[1, -1, 1, -1, 1, -1, 1, -100, -1, 1, 0, 1, -1, 1, -1]], [[-100, -10, -50, 100, 50, -50, -100, -50, 100, -100, 50, -50, 100, -100, -100000, -51, 100, 50]], [[1, -2, -4, 5, -6, 8, -8, 9, 4, -3, 2, -1]], [[1, -2, 1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1]], [[-100, 50, -50, 100, -100, 50, -50, 100, -100, 49, -50, 100, -100, 50, -50, 100, -100, 50, -51, 100]], [[-100, -10, -50, 100, 50, -50, -100, -50, 100, -100, -50, 100, -100, -100000, 50, -51, 100]], [[1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 30, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1]], [[1, -2, 3, -4, 5, -6, -99, 7, -100, -9, 9, -10, 7]], [[1, -2, 3, -4, 5, -6, 7, -8, 9, -3, 2, -1]], [[1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1]], [[-100, -10, -50, 100, 50, -50, -100, -50, 100, -100, 50, -50, 100, -100, -100000, -51]], [[-1, -2, 3, -4, 5, -6, 7, -8, 4, 4, 1, 6, 2, -1, -6]], [[-1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 30, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1]], [[-100, 50, -50, 100, -100, -100000, -50, 100, -100, 50, -50, 100, -100, 50, -50, 100, -100, 50, -51, -7]], [[1, -2, 3, -4, 5, -6, 7, -90, -6, 9, 4, 1, 6, 2, -1, -6]], [[1, -1, 1, -1, 1, -1, 1, -100, -1, 1, 1, -1, 1, -1, 1]], [[1, -2, 3, -4, 6, 5, -6, 7, -8, 9, 4, 1, 2, 70, -1]], [[10, -20, 30, -40, 50, 1, 70, -80, 60, 90, -100]], [[1, -2, 3, -4, 5, -6, -8, 9, -2, -10]], [[1, -2, 3, -4, 5, -6, 7, -8, 9, -10, -10, -10]], [[8, -2, 3, -4, 5, -6, 7, -90, -6, 9, 4, 1, 6, 2, -1, -6]], [[1, -2, 3, -4, 4, 5, -6, 7, -8, 9, -10, -4]], [[100000, -2, 3, -4, 5, -6, 7, -8, 9, 4, -3, 2, -1]], [[1, -2, -4, -6, 8, -8, 9, 4, -3, 2, -1]], [[-100, -10, -50, 100, 50, -50, -100, 100, -100, 50, -50, 100, -100, -100000, -51, 100]], [[1, -2, 3, -30, 5, -6, 7, -8, 9, 4, 4, 1, 6, 2, -1, -6]], [[-1, -8, 2, 4, 4, -5, 6, -7, 8, -9, 10]], [[-100, -10, -50, 100, 50, -50, -100, -50, 100, -100, -50, 100, -100, -100000, 50, -51, 100, 50]], [[1, -1, 1, -1, 1, -1, 1, -1, 1, -1, -1]], [[1, -2, 3, -4, 5, -6, 7, -8, 9, 10, 4, 1, 2, 70, -1]], [[-10, -9, -8, -7, -6, -5, -4, -3, -1]], [[-100, -10, -50, 100, 50, -50, -100, -50, 100, -100, -50, -100, -100000, 50, -51, 100]], [[100000, -50000, 50000, -100000, 100000, -50000, 50000, -100000, 100000, -50000, 50000, -100000, 100000, -50000, 50000, -100000, 100000, -50000, 50000, -100000, -100000]], [[100000, -50000, 50000, -100000, 100000, -50000, 50000, -100000, 100000, -50000, 50000, -100000, 100000, -50000, 50000, -100000, 100000, -50000, 50000, -100000, -100000, -100000]], [[-1, 1, -1, 1, -1, 1, -1, 0, 1, -1, 1, -1, 1, -1, 1, -1, 30, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1]], [[-100, 50, -50, 100, 50, -50, 100, -100, -50, 100, -100, 50, -50, 100, -100, 50, -51, 100, -100, 100]], [[3, -2, 3, -4, 5, -6, -8, 9, -2, -10]], [[-1, -8, 2, -3, 4, -5, 6, 5, -4, -7, -8, 8, -9, 10]], [[1, -2, 3, -4, 5, -6, 7, -8, 9, -10, -10, -8]], [[-100, -10, -50, 100, 50, -50, -100, 100, -100, 50, -50, 100, -100, -100000, -51, 100, -100]], [[1, -2, 3, -4, 5, -6, 7, -8, 9, -10, -10, 3]], [[100000, -50000, 50000, -100000, 100000, -50000, 50000, -100000, 100000, -50000, 49999, 50000, -100000, 100000, -50000, 100, 50000, -100000, 100000, -50000, 50000, -100000, -100000, -100000]], [[-1, -8, 2, 4, 4, -5, 6, -7, 8, -9, 0, 10]], [[-1, 1, -1, 1, -1, 1, -1, 0, 1, -1, 1, -1, 1, -1, 1, 30, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1]], [[-100, -10, -50, 100, 50, -50, 100, -100, -50, 100, 99, -100, 50, -50, 100, -100, -100000, 50, -51, 100]], [[-100, 50, -50, 100, -100, 50, -50, 100, -100, 50, -50, 100, -100, 50, -50, 100, -100, 50, -50, 100, 100, 50]], [[-8, -1, 2, -3, 4, 6, -7, 8, -9, 10]], [[2, -2, 3, -4, 5, -6, -99, 7, -100, -9, 9, -10, 7]], [[-100, -10, -50, 100, 50, -50, -100, -50, 100, 20, -50, 100, -100, -100000, 50, -51, 101, 50]], [[1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 2, 1, -1, 30, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, -39, -1]], [[-1, 1, -1, 1, -1, 1, -1, 0, 1, -1, 1, 1, -1, 1, -1, 1, 30, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1]], [[1, -2, 3, 9, -4, 5, -6, -8, 9, -2, -10]], [[1, 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50]], [[-1, 2, -3, 4, -5, 6, -7, -90, -9, 10]], [[100, -10, -30, -50000, -30, 40, -50, 60, -70, -2, 80, 39, 100, 100]], [[100000, -50000, 50000, -100000, 100000, -50000, 50000, -100000, 100000, -50000, 50000, -100000, 100000, -50000, 50000, -100000, -10, 100000, -50000, 50000, -100000, -50000, -50000, 50000]], [[-8, -9, 20, -30, 40, -50, 60, 80, -9, -70, 80, -90, 100]], [[10, -20, 30, 1, 70, -78, 90, -100, 50]], [[1, -1, 1, 1, -1, 1, -20, 1, -1, 21, 1, -1, 1, -1]], [[-10, -9, -7, -6, -5, -9, -9, -100, -2, -1]], [[-9, -7, -6, -5, 5, -2, 50, -1, -8]], [[1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1, -1, -1]], [[-10, -9, -8, -7, -5, -60, -3, 1, -2, -1, -5]], [[1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1]], [[10, -4, -20, 30, -40, 50, 70, -80, 90, -100, 50]], [[-8, -9, 40, -50, 60, -70, 100, -50]], [[1, -6, -3, -4, 5, -6, 7, -8, 9, 4, 8, -2, 2, 9]], [[-1, 2, 4, -5, 6, -7, 8, -7, -9, 10, -7, 4, 10, 2]], [[1, -1, -1, 1, -1, 1, -1, 1, -1, 1]], [[-20, 30, 50, 70, -80, 90, -100]], [[100000, 1, -1, 1, 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-80, 90, -100, 10]], [[1, -1, 1, 1, -1, -1, 1, -1, 1, -1, 1, 1]], [[2, 1, -1, 1, 1, -1, -8, 1, -1, -1, 1, -1, 1, -1]], [[-10, -9, -8, -1, -1, -5, 49, -3, 50000, -9, -2, 100000, -1, -9]], [[-8, 20, -30, 40, -50, 60, -70, 80, 100]], [[10, -20, 30, -21, -39, 50, -60, 70, -21, -80, 90, -100, 10, -100]], [[1, -1, 1, -1, 1, -1, 1, -1, 1, 2, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 81, 1, -1, 1, -1, 1, -1, 1, -1, -1]], [[50, -50, 100, -100, -99, 50, 100, -100, 50, -50, 100, -100, 50, -50, 100, 50, -50, 100, 50]], [[1, -1, 1, -1, 1, -1, 1, 0, -1, -7, -1, 1, -1, 1]], [[60, 3, -4, 50000, 5, -6, 7, -8, -3, 2, -1, 60, 2, -6]], [[-10, -10, -9, -7, -6, -5, -3, -8, -100, -2, -1, -4]], [[1, -1, 1, 0, -1, 1, 1, -1, 1, -1, 1, -1, 90, 0, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 89, 1, 0]], [[1, -2, -4, 5, -6, 7, -8, 9, -10]], [[100, -10, -30, -50000, -30, 40, -50, 60, -70, -2, 80, 39, 100, 100, -50000]], [[-4, 6, 5, -6, 7, -8, 9, 4, -2, 2, -6]], [[-1, 2, -71, 4, -5, 6, -50, 8, -7, -9, -71, 10, -7]], [[-8, 101, -8, 20, 40, -50, 60, 80, 100, -9]], [[-30, -9, 20, -30, 40, -50, 80, 80, -90, 100, 20]], [[3, -8, -9, -9, -7, -5, -60, -3, -9, -2, -1, -5, -8, 3, -9, -2, -8]], [[89, -10, -9, -7, -6, -3, -70, -2, 49, -5, -7]], [[100000, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -2, -1, 90, 0, 1, -7, -1, 1, -1, 1, 0, 1, -1, 2, -1, 1, -1, 1, -1, 0, 100000]], [[-10, -9, -8, -7, -5, -60, -3, -9, -2, 30, -5]], [[1, 1, -1, 1, -1, 1, -1, 1, -20, 1, -1, -19, 1, -1, 1, -1]], [[-10, -9, -8, -7, -6, -5, -4, -3, -2, -8, -1, -10, -6]], [[10, -20, 30, -40, 3, 50, -60, 70, -80, -100, 10]], [[20, -30, -50, 60, -70, 80, -90, 100]], [[-1, 2, 80, -3, 4, -5, 6, -7, 8, -9, 10, 8, -7]], [[-10, -9, -7, -7, -6, -5, -50000, -2, -2, -8]], [[-10, -10, -6, -5, -3, -9, -100, -2, -1, -4]], [[3, -8, -9, -9, -7, -5, -60, -9, -2, -1, -5, -8, -60]], [[-10, -30, -30, 40, -50, 60, -70, 81, -90]], [[20, -50, 60, -70, 80, -90, 100, 20]], [[1, 1, -1, 1, -1, 1, -1, 1, 49, -20, 1, -1, 1, -1, 1, -1, 1]], [[10, -20, 30, -21, -39, 50, 70, -21, -80, 90, -100, 10, -100, 90]], [[-1, 2, 80, -3, 4, -5, 6, -7, 8, -9, 10, 8, -7, -9]], [[1, -4, 6, -6, 7, -8, 9, 4, -2, 2]], [[10, -20, 30, 50, 70, -80, 90, 90]], [[-3, 21, 1, -2, 3, 5, -6, 7, -8, 4, -3, 2, -1]], [[60, 3, -4, 5, -6, 7, -5, -8, -3, 2, -1, 60, -6, 3]], [[10, -20, 30, -40, 3, 50, 21, 70, -80, 89, -100, 10]], [[10, -20, 30, 50, 70, 90, -100]], [[-3, 1, -2, 3, -4, 5, -6, 7, -8, 5, 2, -1, -1]], [[-100, 50, -50, 100, -100, 50, -50, 100, -100, 50, -50, 100, -100, 50, -50, -50, 100, -100, 50, -50, 100, 50]], [[-10, -10, -9, -7, -6, -5, -3, -9, -100, 7, -1, -5]], [[-8, -9, 20, -30, 40, -9, 60, 89, -70, 80, -90, 100]], [[1, -1, 1, 1, -1, 80, 1, -1, 1, -49, 2, -1]], [[21, -1, 1, 1, -1, 0, -1, 1, -1, 1]], [[-3, 21, 1, -2, 3, 5, -8, -6, 7, -8, 4, -3, 2, -1]], [[3, -8, -9, -8, -7, -5, -60, -3, -9, -2, -1, -5, -8, -60]], [[20, -31, 40, -9, 60, -70, 80, -90, 100, 100, -90]], [[-2, 6, -4, 5, -6, 7, -8, -3, -3, 2, -1, 4]], [[20, -8, -10, 20, -30, 40, -50, 60, 80, -70, 80, -90, 100, 80, 20, -50]], [[100000, -50000, 50000, -100000, 100000, -50000, 50000, -100000, 50000, 100000, -50000, -10, -100000, 100000, -50000, 50000, -100000, 100000, -50000, 50000, -100000, 100000]], [[-40, -10, -9, -7, -7, -6, -5, -50000, -2, -2, -8]], [[10, -20, 30, -21, -40, 50, -60, 50000, 70, -21, -80, 90, -100, 10, 10]]]
results = [1, -6, -14, -9999999999999999, 0, -6, -6, 3, -33, -10, 7, -1, -5, -12, -10, -5, -25, -5, -10, -10, -7, -100, -8, -9, -13, -16, -16, -7, -16, -19, -5, -5, -10, -23, -16, -28, -12, -7, -19, -10, -22, -7, -18, -6, -5, -5, -7, -12, -18, -20, -24, -17, -5, -12, -6, -14, -21, -9, -5, -16, -6, -38, -38, -20, -16, -19, -6, -7, -21, -20, -8, -5, -24, -6, -8, -12, -8, -34, -20, -20, -40, -8, -10, -29, -21, -20, -22, -8, -16, -16, -38, -9, -4, -5, -8, -6, -25, -7, -12, -5, -35, -8, -5, -28, -30, -7, -10, -15, -16, -16, -12, -20, -1, -100, -100000, -8, -90, -1, -9, -100, -10, -55, -100, -1, -2, -149, -101, -13, -141, -100, -40, -151, -100151, -8, -151, -13, -110, -184, -19, -8, -1, -100211, -14, -11, -2, -155, -8, -9, -100261, -1, -101, -101, -100, -8, -20, -10, -8, -7, -101, -100261, -8, -3, -102, -100261, -1, -208, -8, -1, -100261, -8, -1, -100158, -96, -101, -8, -100, -17, -30, -96, -14, -8, -12, -100211, -32, -9, -100261, -2, -8, -53, -100361, -200000, -300000, -1, -151, -17, -20, -28, -100211, -20, -300000, -9, -1, -100101, -100, -10, -208, -100141, -41, -1, -17, -8, -299999, -150107, -38, -33, -120, -300000, -1, -2, -8, -100262, -101, -1, -8, -62, -32, -151, -100001, -8, -2, -101, -13, -203, -100101, -2, -8, -8, -100192, -14, -150, -42, -6, -101, -8, -11, -100251, -1, -1, -154, -200090, -100241, -20, -21, -100211, -1, -14, -7, -8, -100211, -100212, -2, -50008, -300000, -8, -100101, -8, -20, -8, -150211, -100158, -150, -96, -101, -153, -28, -13, -50018, -8, -8, -154, -43, -400000, -11, -50008, -150, -44, -100, -15, -100101, -104, -1, -100, -141, -14, -130, -100201, -100260, -20, -200160, -20, -8, -1, -100101, -300009, -10, -150, -20, -100207, -100162, -50018, -100262, -8, -1, -1, -100201, -53, -37, -12, -2, -139, -260, -8, -141, -30, -208, -21, -100211, -8, -12, -220, -10, -9, -3, -101, -141, -16, -14, -1, -13, -8, -27, -1, -100, -300000, -20, -22, -34, -17, -3, -20, -10, -19, -100151, -208, -8, -2, -121, -33, -10, -1, -96, -50011, -53, -14, -154, -139, -20, -34, -171, -100260, -43, -44, -9, -185, -300000, -110, -100202, -100, -20, -151, -14, -100221, -50011, -100262, -1, -11, -7, -13, -50018, -103, -2, -17, -110, -4, -100012, -37, -151, -8, -100101, -100101, -53, -6, -10, -100307, -1, -96, -12, -100, -100, -100202, -20, -54, -101, -1, -200009, -200260, -100152, -500000, -199, -2, -100201, -20, -80, -2, -39, -100, -2, -100261, -139, -29, -184, False, -39, -7, -8, -12, -8, -18, -250090, -100161, -100131, -2, -62, -150, -102, -100101, -26, -110, -8, -150, -53, -101, -284, -15, -40, -100, -100311, -1, -208, -180, -12, -100, -9, -150, -18, -100157, -8, -100211, -3, -17, -149987, -8, -11, -50022, -100251, -41, -100, -169, -2, -20, -100, -100, -40, -61, -9, -150, -100, -20, -10, -13, -203, -11, -110, -101, -80, -5, -3, -250, -17, -100, -50000, -64, -100201, -2, -100002, -11, -8, -260, -132, -12, -100151, -26, -2, -1, -100101, -100364, -20, -100152, -205, -2, -17, -9, -100144, -11, -13, -42, -17, -97, -150, -2, -11, -8, -18, -14, -139, -171, -3, -250000, -9, -100, -70, -1, -41, -28, -11, -2, -8, -101, -100101, -20, -4, -31, -150261, -100201, -11, -28, -7, -19, -100, -253, -100, -8, -100361, -250010, -201, -3, -20, -100312, -100372, -50, -100, -22, -8, -103, -150361, -40, -8, -10, -13, -101, -77, -100101, -100351, -1, -100121, -1, -14, -28, -206, -8, -100101, -10, -9, -8, -32, -120, -150361, -23, -203, -12, -100151, -151, -11, -8, -200010, -100101, -63, -8, -100, -13, -100261, -100271, -16, -10, -48, -169, -13, -100250, -87, -140, 0, -1, -2, -1, -1, -2, -3, -2, -1, -2, -1, -8, -100056, -100, -64, -100, -2, -99, -157, -2, -88, -90, -65, -9, -1, -1, -90, -8, -1, -90, -1, -50100, -90, -72, -72, -1, -100000, -73, -15, -164, -8, -8, -100, -2, -90, -100, -8, -90, -72, -1, -72, -66, -90, -1, -100, -11, -30, -149, -2, -90, -1, -9, -100, -8, -50129, -119, -8, -100065, -20, -11, -150010, -100, -66, -47, -71, -100, -125, -110, -1, -72, -76, -9, -33, -90, -2, -90, -1, -101, -63, -90, -8, -71, -1, -2, -1, -65, -90, -111, -50128, -16, -8, -63, -14, -77, -8, -3, -1, -100, -2, -72, -1, -2, -100000, -29, -100010, -156, -90, -167, -10, -14, -250000, -188, -14, -150010, -33, -55, -14, -70, -4, -100, -71, -90, -2, -46, -90, -11, -90, -51, -188, -100, -2, -7, -12, -1, -20, -50160, -199, -200010, -180, -34, -100154, -162, -61, -22, -72, -101, -65, -100, -209, -100, -126, -3, -199, -60, -72, -80, -123, -2, -9, -3, -1, -100, -8, -73, -6, -3, -114, -163, -100, -45, -20, -90, -8, -8, -13, -8, -46, -1, -90, -70, -121, -101, -166, -90, -56, -197, -100, -88, -8, -100, -93, -2, -71, -6, -46, -2, -6, -90, -100163, -121, -124, -4, -14, -100, -197, -225, -70, -100, -100, -2, -8, -50001, -120, -100, -150010, -83, -250021, -16, -112, -8, -14, -162, -70, -50092, -24, -216, -154, -16, -50060, -177, -9, -71, -269, -101, -2, -70, -90, -73, -15, -90, -37, -8, -210, -58, -8, -1, -197, -93, -100, -79, -8, -2, -90, -5, -10, -78, -1, -8, -106, -50092, -200010, -90, -100, -20, -158, -27, -4, -109, -2, -100, -70, -15, -16, -2, -100, -78, -320, -1, -250000, -200013, -20, -76, -8, -209, -9, -174, -20, -9, -5, -1, -70, -159, -68, -199, -80, -135, -1, -2, -9, -50168, -150, -57, -149, -132, -100030, -11, -3, -90, -112, -78, -17, -106, -100, -100, -8, -120, -14, -250000, -46, -1, -79, -74, -20, -7, -8, -43, -91, -153, -2, -10, -34, -70, -201, -2, -199, -9, -11, -165, -1, -10, -99773, -8, -195, -50, -90, -142, -107, -8, -113, -39, -79, -180, -100, -9, -50056, -150, -183, -99, -90, -20, -201, -16, -8, -80, -8, -16, -100, -100, -8, -150, -159, -90, -49, -2, -15, -185, -90, -14, -90, -150010, -50096, -111]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(minSubArraySum)
print('___SENTINEL___')
| d52fdd9249e5b497a5a61fedcfd80081 |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-4
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-04, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[[2, 3, 4, 1, 2, 4]], [[-1, -2, -3]]]
results = [1, -6]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(minSubArraySum)
print('___SENTINEL___')
| e641e544ee8c26cd1cc745eee1f116b1 |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-6
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-07, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[[[0, 0, 1, 0], [0, 1, 0, 0], [1, 1, 1, 1]], 1], [[[0, 0, 1, 1], [0, 0, 0, 0], [1, 1, 1, 1], [0, 1, 1, 1]], 2], [[[0, 0, 0], [0, 0, 0]], 5], [[[1, 1, 1, 1], [1, 1, 1, 1]], 2], [[[1, 1, 1, 1], [1, 1, 1, 1]], 9], [[[1, 0, 0, 1], [0, 1, 1, 1], [0, 0, 0, 0], [1, 0, 1, 1]], 2], [[[1, 1, 1], [1, 0, 1], [1, 1, 1], [1, 1, 1]], 3], [[[0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0]], 1], [[[0, 1, 0, 1], [1, 0, 0, 0], [1, 1, 1, 1]], 2], [[[1, 0, 0], [0, 1, 0], [0, 0, 1]], 2], [[[1, 0, 0], [0, 1, 0], [0, 0, 1]], 1], [[[1, 1, 1], [1, 1, 1]], 2], [[[0, 0, 1, 0], [0, 0, 1, 0], [1, 1, 1, 1]], 2], [[[0, 0, 0, 0], [0, 0, 0, 0]], 1], [[[1, 0, 0, 1], [0, 1, 1, 0], [1, 0, 0, 1]], 3], [[[0, 0, 1, 0], [0, 0, 1, 0], [1, 1, 1, 1], [0, 0, 1, 0]], 2], [[[0, 1, 0, 1], [1, 0, 0, 0], [1, 1, 1, 1]], 3], [[[1, 0, 0], [0, 1, 0], [0, 0, 1], [1, 0, 0]], 2], [[[0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0]], 1], [[[0, 1, 0, 1], [1, 0, 0, 0]], 3], [[[1, 0, 0], [0, 1, 0], [0, 0, 1], [1, 0, 0]], 3], [[[1, 1, 1], [1, 0, 1], [1, 1, 1], [1, 1, 1]], 4], [[[0, 0, 0, 0]], 1], [[[0, 1, 0], [0, 0, 1], [1, 0, 0]], 2], [[[0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0]], 2], [[[0, 1, 0], [0, 0, 1], [1, 0, 0]], 4], [[[0, 1, 0], [0, 0, 1]], 4], [[[0, 1, 0], [0, 0, 1], [1, 0, 0]], 3], [[[0, 1, 0], [0, 1, 0], [0, 0, 1], [1, 0, 0]], 3], [[[0, 0, 1, 0], [0, 1, 1, 0], [0, 1, 1, 0], [1, 1, 1, 1], [0, 1, 1, 0]], 2], [[[0, 0, 0, 0]], 3], [[[1, 1, 1]], 2], [[[1, 1, 1], [1, 0, 1], [1, 1, 1], [1, 1, 1], [1, 1, 1], [1, 1, 1]], 4], [[[0, 0, 0, 0]], 4], [[[1, 0, 0], [0, 1, 0]], 1], [[[0, 0, 1, 0], [0, 0, 1, 0], [1, 1, 1, 1], [0, 0, 1, 0]], 1], [[[0, 0, 1, 0], [0, 0, 1, 0], [1, 1, 1, 1]], 4], [[[0, 0, 1], [0, 0, 0], [0, 0, 0], [0, 0, 0]], 1], [[[0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0]], 3], [[[0, 0, 0], [0, 0, 0]], 4], [[[1, 0, 0], [0, 1, 0], [0, 0, 1], [1, 0, 0]], 4], [[[1, 1, 1], [1, 0, 1], [1, 1, 1], [1, 1, 1], [1, 1, 1], [1, 1, 1]], 1], [[[0, 1, 0, 1], [1, 0, 0, 0]], 1], [[[0, 1, 0], [0, 0, 1], [1, 0, 0]], 1], [[[1, 0, 0], [0, 1, 0], [0, 0, 1], [1, 0, 0]], 1], [[[0, 0, 1, 0], [0, 0, 1, 0], [1, 1, 1, 1]], 3], [[[1, 1, 1], [1, 0, 1], [1, 1, 1]], 1], [[[1, 1, 1], [1, 1, 1]], 1], [[[0, 0, 0]], 2], [[[0, 1, 0], [1, 0, 0]], 4], [[[0, 1, 0], [1, 0, 0], [0, 0, 1], [1, 0, 0], [0, 1, 0]], 2], [[[1, 1, 1]], 4], [[[0, 0, 1, 0], [0, 0, 1, 0], [1, 1, 1, 1], [0, 0, 1, 0]], 3], [[[0, 0, 0, 0]], 5], [[[1, 0, 0, 1], [0, 1, 1, 1], [0, 0, 0, 0]], 2], [[[0, 0, 1, 0], [1, 1, 1, 1]], 6], [[[0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0]], 4], [[[1, 0, 0], [0, 1, 0], [0, 0, 1], [1, 0, 0], [1, 0, 0]], 1], [[[0, 1, 0, 1], [1, 0, 0, 0], [1, 1, 1, 1]], 4], [[[0, 0, 0], [0, 0, 0]], 3], [[[1, 1, 1], [1, 1, 1]], 3], [[[0, 0, 1, 0], [0, 0, 1, 0], [1, 1, 1, 1], [0, 0, 1, 0], [0, 0, 1, 0]], 3], [[[1, 0, 0], [1, 1, 0], [0, 0, 1], [1, 0, 0]], 3], [[[1, 1, 1], [1, 1, 1], [1, 1, 1]], 2], [[[0, 1, 0], [0, 1, 0], [0, 0, 1], [1, 0, 0]], 4], [[[1, 1, 1], [1, 0, 1], [1, 1, 1], [1, 1, 1]], 1], [[[0, 0, 0, 0], [0, 0, 0, 0]], 2], [[[1, 0]], 6], [[[0, 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1, 0], [1, 1, 0], [1, 1, 0], [1, 1, 0], [1, 1, 0]], 1], [[[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]], 5], [[[0, 0, 0, 1], [0, 1, 0, 1], [0, 0, 0, 1], [0, 0, 0, 1], [0, 1, 0, 1], [0, 1, 0, 1], [0, 1, 0, 1]], 2], [[[0, 0, 1], [0, 0, 1], [0, 0, 1], [0, 0, 1]], 5], [[[1, 0, 1, 1], [1, 0, 1, 1], [1, 1, 0, 1], [1, 0, 1, 1]], 3], [[[1, 0, 0, 0], [0, 0, 0, 1], [1, 0, 0, 0], [0, 0, 0, 1]], 1], [[[0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0]], 1], [[[0, 1, 1, 1], [0, 0, 1, 1], [1, 1, 0, 0], [0, 1, 1, 1], [1, 1, 0, 0]], 2], [[[0, 0], [0, 0], [0, 0], [0, 0]], 4], [[[0, 0, 0], [0, 0, 1], [0, 0, 1]], 4], [[[0, 1, 1, 1, 1, 1, 1], [0, 1, 1, 1, 1, 1, 1], [0, 1, 1, 1, 1, 1, 1]], 1], [[[0, 0, 0], [0, 0, 1], [0, 0, 1]], 1], [[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], 6], [[[0, 1, 1, 1, 1, 1, 1], [0, 1, 1, 1, 1, 1, 1], [0, 1, 1, 1, 1, 1, 1], [0, 1, 1, 1, 1, 1, 1]], 6], [[[1, 0, 1, 1], [1, 0, 1, 1], [1, 1, 0, 1], [1, 0, 1, 1], [1, 0, 1, 1], [1, 0, 1, 1]], 3], [[[1, 0, 1, 1], [1, 0, 1, 1], [1, 0, 1, 1]], 2], [[[1, 0, 0, 0], [0, 0, 0, 1], [0, 0, 0, 1], [1, 0, 0, 0]], 5], [[[1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0]], 1], [[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], 5], [[[1, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0]], 1], [[[1, 1, 1, 1], [1, 0, 1, 1], [1, 1, 0, 1], [1, 1, 1, 1], [1, 1, 1, 1], [1, 1, 1, 1], [1, 0, 1, 1]], 1], [[[0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0]], 5], [[[0, 0, 0, 1], [0, 1, 1, 1], [0, 0, 0, 1], [0, 0, 0, 1], [0, 1, 1, 1], [0, 1, 1, 1], [0, 0, 0, 1], [0, 1, 1, 1]], 1], [[[0, 0, 0, 1], [0, 0, 1, 0], [0, 0, 1, 0], [0, 0, 1, 0], [0, 0, 0, 1], [0, 0, 0, 1], [0, 0, 1, 0], [0, 0, 1, 0], [0, 0, 0, 1], [0, 0, 0, 1], [0, 0, 0, 1]], 1], [[[0, 1, 1, 1, 1, 1, 1], [0, 1, 1, 1, 1, 1, 1], [0, 1, 1, 1, 1, 1, 1]], 8], [[[0, 1, 1, 1, 1, 1, 1], [0, 1, 1, 1, 1, 1, 1]], 1], [[[1, 1, 0], [1, 1, 0], [1, 1, 0]], 2], [[[0, 0, 0, 1], [0, 1, 0, 1], [0, 1, 0, 1], [0, 0, 0, 1], [0, 1, 0, 1], [0, 0, 0, 1], [0, 1, 0, 1], [0, 1, 0, 1]], 2], [[[0, 0, 0, 1], [0, 1, 1, 1], [0, 0, 0, 1], [0, 0, 0, 1], [0, 1, 1, 1], [0, 0, 0, 1], [0, 1, 1, 1]], 3], [[[1, 0, 0, 0], [1, 1, 1, 1], [1, 0, 0, 0], [1, 1, 1, 1], [1, 0, 0, 0]], 1], [[[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]], 5], [[[0, 0, 1, 0, 0]], 3], [[[1, 0, 0, 0], [0, 0, 0, 1]], 8], [[[0, 0, 0, 1], [0, 0, 0, 1], [0, 0, 0, 1]], 6], [[[0, 1, 1, 1], [1, 0, 1, 1], [1, 1, 0, 1], [1, 0, 1, 1], [0, 1, 1, 1]], 3], [[[0, 1, 1, 1, 1, 1, 1, 1], [0, 1, 1, 1, 1, 1, 1, 1], [0, 1, 1, 1, 1, 1, 1, 1], [0, 1, 1, 1, 1, 1, 1, 1], [0, 1, 1, 1, 1, 1, 1, 1]], 6], [[[0, 1, 1, 1], [1, 0, 1, 1], [1, 0, 1, 1], [1, 1, 0, 1], [0, 1, 1, 1], [1, 0, 1, 1]], 3], [[[0, 0, 1, 1], [0, 0, 1, 1]], 4], [[[1, 0, 1, 1], [1, 0, 1, 1], [1, 1, 0, 1]], 6], [[[0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0]], 1], [[[1, 0, 0, 0], [0, 0, 0, 1], [0, 0, 0, 1], [1, 0, 0, 0], [0, 0, 0, 1]], 5], [[[0, 1, 1, 1], [0, 0, 0, 1], [0, 0, 0, 1], [0, 1, 1, 1]], 8], [[[0, 0, 0, 1], [0, 1, 1, 1], [0, 0, 0, 1], [0, 1, 1, 1], [0, 0, 0, 1]], 4], [[[1, 0, 0, 1], [0, 1, 0, 1], [0, 1, 0, 1], [0, 0, 0, 1], [0, 1, 0, 1], [0, 1, 0, 1], [0, 0, 0, 1], [0, 1, 0, 1]], 3], [[[0, 0, 0, 1], [0, 1, 1, 1], [0, 0, 0, 1], [0, 0, 0, 1], [0, 0, 0, 1], [0, 0, 0, 1], [0, 0, 0, 1]], 5], [[[0, 0, 1], [1, 1, 1], [0, 0, 0]], 3], [[[1, 1, 0, 0], [1, 1, 0, 0]], 4], [[[0, 1, 1, 0], [1, 1, 1, 1]], 5], [[[0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0]], 4], [[[0, 1, 1, 1], [1, 0, 0, 1], [0, 0, 0, 1], [0, 1, 1, 1], [0, 1, 1, 1]], 3], [[[0, 1, 1, 1], [1, 0, 1, 1], [1, 0, 1, 1], [1, 0, 1, 1]], 3], [[[0, 0, 0, 1], [0, 1, 0, 1], [0, 1, 0, 1], [0, 0, 0, 1], [0, 1, 0, 1], [0, 1, 0, 1], [0, 0, 0, 1], [0, 1, 0, 1], [0, 1, 0, 1]], 5], [[[0, 0, 0, 0, 0]], 6], [[[1, 0, 0, 0], [0, 0, 0, 1], [1, 0, 0, 0], [0, 0, 0, 1], [1, 0, 0, 0]], 1], [[[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]], 4], [[[0, 0, 0, 1], [0, 0, 1, 1], [0, 0, 0, 1]], 2], [[[1, 0, 1, 1], [1, 0, 1, 1], [1, 1, 0, 1], [1, 0, 1, 1], [1, 0, 1, 1]], 1], [[[1, 0, 1, 1], [1, 1, 0, 1], [1, 0, 1, 1]], 8], [[[0, 0, 0, 0, 0]], 8], [[[0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0]], 4], [[[1, 0, 0, 0], [1, 1, 1, 1]], 2], [[[0, 0, 1, 1], [1, 1, 1, 1], [0, 0, 1, 1], [0, 0, 0, 0], [1, 1, 1, 1]], 6], [[[1, 0, 0], [1, 0, 0], [1, 0, 0]], 2], [[[0, 0, 0, 1], [0, 0, 1, 0], [0, 0, 1, 0], [0, 0, 1, 0], [0, 0, 0, 1], [0, 0, 0, 1], [0, 0, 1, 0], [0, 0, 1, 0], [0, 0, 0, 1], [0, 0, 0, 1]], 2], [[[0, 1, 1, 1], [1, 0, 1, 1], [1, 1, 0, 1], [1, 1, 0, 1], [1, 0, 1, 1], [0, 1, 1, 1]], 5], [[[0, 0, 0, 1], [0, 1, 1, 1], [0, 0, 0, 1], [0, 1, 1, 1], [0, 0, 0, 1]], 3], [[[0, 0, 0, 1], [0, 1, 0, 1], [0, 1, 0, 1], [0, 0, 0, 1], [0, 0, 0, 1], [0, 1, 0, 1], [0, 1, 0, 1], [0, 0, 0, 1], [0, 0, 0, 1], [0, 0, 0, 1]], 4], [[[0, 0, 0], [0, 0, 1], [1, 1, 1], [0, 0, 0]], 1], [[[0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0]], 6], [[[1, 0], [1, 0], [1, 0], [1, 0], [1, 0], [1, 0]], 1], [[[0, 0, 0, 1], [0, 1, 1, 1]], 1], [[[0, 1, 1, 1], [1, 0, 1, 1], [1, 0, 1, 1]], 1], [[[0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0]], 6], [[[0, 0, 0, 1], [0, 1, 0, 1], [0, 0, 0, 1], [0, 1, 0, 1], [0, 1, 0, 1], [0, 1, 0, 1], [0, 1, 0, 1]], 3], [[[0, 1, 1, 1], [0, 0, 0, 1], [0, 0, 0, 1], [0, 1, 1, 1], [0, 1, 1, 1], [0, 0, 0, 1]], 8], [[[0, 1, 1, 0], [1, 1, 1, 1], [0, 1, 1, 0], [0, 1, 1, 0]], 3], [[[0, 1, 1, 1], [0, 0, 0, 1], [0, 0, 0, 1], [0, 1, 1, 1], [0, 1, 1, 1], [0, 1, 1, 1], [0, 1, 1, 1]], 8], [[[0, 0, 1, 1], [0, 0, 1, 1], [1, 1, 0, 0]], 2], [[[1, 0, 0, 0], [0, 0, 0, 1], [1, 0, 0, 0]], 1], [[[0, 0, 1, 0], [0, 0, 1, 0], [0, 0, 1, 0], [0, 0, 0, 1], [0, 0, 0, 1], [0, 0, 1, 0], [0, 0, 1, 0], [0, 0, 0, 1], [0, 0, 0, 1]], 2], [[[0, 0, 1, 0, 0]], 2], [[[0, 0, 0, 1], [0, 1, 1, 1], [0, 0, 0, 1]], 5], [[[0, 0, 0, 0, 0]], 9], [[[0, 1, 1, 1], [1, 0, 1, 1], [1, 0, 1, 1]], 6], [[[1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1]], 2], [[[0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0]], 1], [[[0, 1, 1, 1], [1, 0, 1, 1], [1, 0, 1, 1], [1, 1, 0, 1], [0, 1, 1, 1], [1, 0, 1, 1], [1, 0, 1, 1]], 1], [[[0, 0, 0, 1], [0, 0, 0, 1], [0, 0, 0, 1], [0, 0, 0, 1], [0, 0, 0, 1], [0, 0, 0, 1], [0, 0, 0, 1], [0, 0, 0, 1]], 4], [[[0, 0, 0, 0], [0, 0, 0, 0]], 9], [[[1, 0, 1, 1], [1, 1, 0, 1], [1, 0, 1, 1]], 6], [[[0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0]], 3], [[[0, 0, 0, 0, 1], [0, 0, 0, 0, 1], [0, 0, 0, 0, 1]], 2]]
results = [6, 5, 0, 4, 2, 5, 4, 0, 4, 3, 3, 4, 4, 0, 3, 5, 4, 4, 0, 2, 4, 4, 0, 3, 0, 3, 2, 3, 4, 6, 0, 2, 6, 0, 2, 7, 3, 1, 0, 0, 4, 17, 3, 3, 4, 4, 8, 6, 0, 2, 5, 1, 5, 0, 3, 2, 0, 5, 3, 0, 2, 6, 4, 6, 4, 11, 0, 1, 0, 4, 0, 6, 0, 0, 4, 3, 2, 0, 2, 1, 5, 2, 7, 2, 2, 1, 0, 3, 0, 2, 7, 0, 0, 5, 1, 0, 4, 1, 0, 3, 0, 7, 3, 14, 0, 4, 6, 2, 3, 4, 5, 3, 16, 3, 5, 3, 6, 8, 20, 4, 4, 6, 6, 4, 3, 2, 6, 8, 3, 5, 5, 5, 6, 6, 5, 6, 3, 5, 6, 9, 4, 4, 4, 5, 7, 3, 5, 2, 3, 6, 2, 2, 6, 7, 7, 5, 3, 3, 5, 4, 3, 5, 8, 1, 5, 6, 4, 7, 2, 2, 6, 8, 3, 6, 4, 8, 2, 2, 10, 2, 7, 2, 2, 5, 6, 4, 7, 6, 4, 24, 2, 8, 7, 1, 8, 5, 3, 5, 3, 5, 2, 2, 3, 5, 6, 4, 3, 12, 4, 5, 7, 2, 6, 2, 2, 1, 1, 4, 4, 3, 4, 2, 6, 7, 7, 11, 13, 5, 2, 4, 3, 4, 10, 8, 2, 3, 3, 2, 3, 5, 5, 2, 2, 0, 3, 5, 9, 2, 1, 7, 5, 5, 3, 1, 4, 7, 10, 4, 4, 2, 1, 1, 2, 4, 7, 4, 2, 4, 6, 8, 9, 7, 3, 2, 3, 3, 5, 2, 8, 7, 5, 2, 6, 8, 5, 2, 3, 3, 5, 3, 3, 3, 1, 8, 4, 4, 2, 6, 1, 6, 5, 3, 2, 7, 7, 6, 6, 0, 8, 5, 2, 10, 3, 0, 1, 9, 10, 8, 9, 6, 2, 7, 7, 7, 4, 6, 6, 4, 1, 9, 3, 12, 2, 3, 7, 5, 3, 6, 2, 7, 7, 12, 4, 4, 4, 2, 2, 10, 4, 6, 4, 4, 13, 0, 7, 10, 4, 4, 7, 4, 7, 7, 1, 2, 4, 2, 2, 3, 2, 2, 3, 7, 4, 2, 5, 5, 4, 1, 4, 5, 10, 2, 12, 1, 2, 8, 4, 3, 1, 2, 5, 3, 7, 3, 3, 8, 1, 8, 8, 1, 3, 6, 3, 9, 6, 2, 5, 2, 1, 5, 8, 6, 4, 8, 3, 6, 6, 7, 9, 1, 5, 4, 2, 5, 5, 0, 3, 4, 0, 10, 12, 3, 0, 5, 2, 1, 2, 2, 5, 0, 8, 10, 5, 10, 1, 7, 3, 8, 4, 3, 1, 3, 2, 4, 7, 10, 3, 5, 8, 11, 18, 4, 3, 3, 12, 1, 4, 2, 3, 2, 6, 4, 1, 4, 1, 1, 0, 8, 1, 9, 3, 0, 4, 4, 2, 7, 8, 2, 0, 3, 0, 0, 6, 9, 12, 4, 0, 0, 12, 0, 6, 7, 3, 9, 5, 8, 0, 5, 6, 14, 0, 9, 10, 2, 8, 2, 7, 1, 6, 4, 4, 2, 1, 6, 0, 2, 0, 4, 2, 2, 5, 0, 6, 4, 1, 13, 11, 4, 4, 3, 6, 5, 5, 1, 10, 2, 3, 0, 0, 9, 0, 5, 8, 7, 15, 0, 0, 6, 4, 0, 4, 8, 2, 10, 28, 5, 6, 2, 8, 2, 5, 1, 4, 8, 9, 0, 13, 0, 6, 7, 2, 8, 6, 5, 4, 6, 5, 0, 11, 8, 9, 18, 8, 8, 0, 0, 1, 5, 0, 0, 3, 3, 7, 3, 1, 8, 8, 10, 10, 1, 4, 0, 0, 3, 4, 10, 8, 4, 5, 2, 1, 7, 3, 0, 0, 4, 3, 5, 0, 4, 0, 8, 4, 5, 2, 4, 0, 5, 2, 7, 3, 10, 5, 2, 0, 5, 12, 0, 4, 6, 7, 0, 0, 3, 2, 0, 6, 1, 0, 3, 7, 1, 3, 0, 0, 9, 0, 6, 6, 6, 15, 4, 3, 0, 3, 4, 9, 5, 1, 5, 1, 8, 0, 0, 6, 9, 0, 4, 8, 9, 7, 7, 5, 0, 0, 0, 4, 4, 0, 6, 7, 2, 2, 4, 0, 9, 3, 0, 12, 8, 0, 9, 3, 6, 10, 0, 7, 4, 4, 4, 0, 7, 0, 2, 18, 2, 0, 4, 6, 6, 4, 4, 0, 3, 25, 0, 16, 11, 3, 12, 3, 8, 7, 11, 0, 1, 2, 3, 5, 10, 6, 2, 3, 0, 5, 4, 5, 8, 7, 2, 2, 2, 0, 5, 4, 9, 0, 5, 5, 3, 15, 3, 0, 0, 3, 4, 3, 10, 6, 5, 10, 4, 0, 6, 4, 9, 0, 7, 6, 5, 7, 3, 3, 9, 1, 3, 0, 3, 9, 0, 21, 8, 0, 3, 0, 3]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(max_fill)
print('___SENTINEL___')
| 110d2eeaa8483f8848052a4b118e6b5f |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-4
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-04, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[[[0, 0, 1, 0], [0, 1, 0, 0], [1, 1, 1, 1]], 1], [[[0, 0, 1, 1], [0, 0, 0, 0], [1, 1, 1, 1], [0, 1, 1, 1]], 2], [[[0, 0, 0], [0, 0, 0]], 5]]
results = [6, 5, 0]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(max_fill)
print('___SENTINEL___')
| 850824dbdaee7b0c490f5d239791e3a9 |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-6
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-07, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[[1, 5, 2, 3, 4]], [[-2, -3, -4, -5, -6]], [[1, 0, 2, 3, 4]], [[]], [[2, 5, 77, 4, 5, 3, 5, 7, 2, 3, 4]], [[3, 6, 44, 12, 32, 5]], [[2, 4, 8, 16, 32]], [[3, 7, 6, 5, 4]], [[10, 8, 12, 11, 9]], [[111, 222, 333, 444]], [[100000000, 0, 10101010, 111111111, 100000]], [[0, 15, 3, 7, 12]], [[2, 4, 6, 8, 10]], [[16, 32, 64, 128, 256]], [[1023, 511, 255, 127, 63]], [[2, 4, 6, 8, 10, 10]], [[33, 16, 32, 64, 128, 256, 32]], [[7, 12, 11, 9]], [[3, 7, 6, 6, 5, 4]], [[3, 111, 221, 222, 333, 444, 222, 222]], [[3, 111, 511, 222, 3, 333, 444, 222, 222, 222]], [[127, 32, 12, 11, 9]], [[3, 111, 511, 222, 3, 333, 444, 222, 221, 222, 512]], [[15, 0, 10101010, 0, 100000]], [[111, 15, 222, 333, 444]], [[3, 111, 511, 222, 3, 333, 444, 222, 222]], [[0, 15, 3, 7, 12, 3]], [[2, 4, 6, 10, 10]], [[0, 15, 3, 7, 12, 12, 3, 3]], [[3, 111, 511, 222, 3, 333, 444, 222, 222, 222, 111]], [[111, 15, 222, 333, 444, 333]], [[511, 16, 32, 2, 128, 256]], [[0, 15, 3, 12]], [[0, 15, 3, 12, 3]], [[0, 100000, 3, 7, 12]], [[7, 12, 11, 9, 12]], [[127, 32, 12, 11, 9, 12]], [[4, 7, 6, 5, 4]], [[2, 4, 2, 6, 8, 10, 8]], [[4, 6, 10, 10]], [[511, 16, 32, 2, 128]], [[127, 32, 12, 11, 9, 13]], [[15, 0, 10101009, 0, 100000]], [[2, 4, 2, 6, 8, 10, 9]], [[111, 15, 222, 333, 444, 333, 222]], [[4, 7, 6, 5, 3, 4, 7]], [[16, 15, 3, 12, 3]], [[3, 7, 6, 6, 4]], [[111, 222, 333, 334, 444]], [[16, 15, 3, 12, 3, 15]], [[16, 12, 15, 3, 12, 3]], [[3, 111, 222, 333, 444, 222, 222]], [[32, 12, 11, 9, 12]], [[16, 15, 3, 13, 3, 15]], [[15, 0, 10101010, 0, 100000, 100000]], [[16, 12, 15, 12]], [[7, 12]], [[2, 4, 2, 6, 10, 9]], [[10, 9, 12, 11, 9]], [[10, 8, 12, 11]], [[3, 111, 511, 222, 3, 333, 444, 222, 222, 222, 222]], [[32, 2, 128, 128]], [[10, 8, 12, 7, 11]], [[111, 222, 333, 444, 444]], [[511, 16, 32, 2, 128, 256, 128]], [[16, 2, 128, 128]], [[2, 4, 2, 6, 10, 9, 2]], [[7, 8, 64, 12]], [[333, 111, 15, 222, 332, 444, 333, 222]], [[12, 3, 12, 3]], [[511, 16, 32, 2, 128, 129, 128, 32]], [[512, 16, 32, 2, 128]], [[10, 9, 12, 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[[16, 1024, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 16, 1029, 16]], [[1111111111, 1, 1111111111, 1111111111]], [[1024, 1025, 1024, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1033, 1028]], [[7, 7, 7, 8, 10, 8888, 7, 7, 7, 7]], [[568, 7, 7, 8, 7, 7, 8, 7, 7, 7]], [[1024, 1031, 1025, 1027, 89, 1029, 1030, 1111111111, 1032, 1033, 1027]], [[1023, 1025, 1028, 1027, 1028, 1029, 1030, 1111111111, 1032, 1033]], [[7, 7, 7, 8, 7, 7, 7, 7, 7, 7]], [[1027, 7, 7, 7, 7, 9, 268435455, 7, 7, 7]], [[6, 7, 7, 7, 8, 268435455, 7, 6, 7, 7, 7]], [[6, 7, 7, 7, 268435455, 6, 7, 7, 7]], [[7, 7, 7, 7, 9, 268435455, 7, 7, 8, 7, 7, 7, 7, 8]], [[7, 7, 8, 7, 7, 7, 8]], [[1, 1111111110, 0]], [[7, 7, 7, 7, 8, 7, 7, 7, 7]], [[7, 1028, 7, 7, 7, 8, 268435455, 7, 7, 8, 7, 7, 7, 8]], [[7, 7, 7, 8, 10, 8888, 7, 9, 7, 7, 7]], [[16, 1024, 1026, 1028, 1029, 1030, 1031, 1032, 1033, 16, 1029, 16]], [[7, 7, 7, 8, 10, 8888, 7, 9, 7, 7, 7, 7]], [[90, 7, 7, 7, 8, 7, 7, 8, 7]], [[1024, 1025, 1027, 1027, 1028, 1029, 1111111110, 268435455, 1111111111, 1032, 1033]], [[1, 0, 1]], [[7, 7, 7, 7, 8, 268435455, 7, 7, 8, 7, 7, 7, 7, 7]], [[1024, 1031, 1025, 1027, 89, 1029, 1030, 1032, 1033, 1111111111]], [[7, 1028, 7, 7, 7, 8, 268435455, 7, 7, 8, 6, 7, 7, 6]], [[2097151, 16777214, 524287, 16777215, 33554431, 568, 134217727, 268435455]], [[7, 7, 7, 7, 6, 7, 7, 7, 7]], [[7, 7, 8, 7, 7, 8, 1029, 7, 8]], [[567, 9, 90, 15, 56, 67, 777777, 89, 143, 568, 789, 987, 56]], [[7, 7, 7, 31, 8, 268435455, 7, 7, 8, 7, 7, 7, 7, 7]], [[1024, 1025, 1026, 1027, 1027, 1028, 1029, 1030, 1032, 1033]], [[7, 6, 7, 7, 8, 268435455, 7, 7, 8, 7, 7]], [[1111111111, 0, 0]], [[111111, 7, 7, 7, 7, 8, 8, 7, 7, 8, 7, 7]], [[1024, 1025, 1027, 1027, 1028, 1029, 1111111110, 268435455, 1111111111, 1032, 1033, 1028]], [[7, 7, 7, 6, 7, 7, 7, 7, 7]], [[6, 7, 524287, 7, 7, 268435455, 6, 7, 7, 7]], [[134217728, 2097151, 524287, 16777215, 33554431, 134217727, 268435455, 2097151, 2097151]], [[7, 7, 7, 6, 7, 7, 7, 7]], [[111111, 1111111, 11110, 11111111, 111111111, 1111111111, 111111, 1111, 111, 11111]], [[7, 7, 7, 6, 7, 8, 268435455, 7, 7, 7]], [[2097151, 16777215, 134217727, 268435455, 33554431]], [[1031, 10, 11, 12, 13, 14, 15, 568, 16, 17, 18, 19, 16]], [[567, 9, 90, 15, 56, 67, 89, 143, 568, 789, 9999999]], [[1024, 1025, 1026, 1027, 1028, 1029, 1032, 1033]], [[9999999, 987654321, 123456789, 777777, 111111111, 444555666, 12312312, 8888, 12312312]], [[16, 1024, 1027, 1028, 1029, 1030, 16, 1030, 1032, 1033, 90]], [[1024, 1025, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1030]], [[1024, 1025, 1025, 1027, 1027, 111111, 1030, 1111111111, 1032, 1033]], [[7, 7, 7, 8, 10, 13, 8888, 7, 9, 7, 7, 7, 7]], [[7, 7, 7, 8, 9, 31, 268435455, 7, 7, 7, 7, 7]], [[7, 1111, 7, 7, 8, 1111, 268435455, 7, 7, 8, 8]], [[567, 9, 90, 15, 56, 67, 89, 568, 789, 987, 9]], [[2097151, 524287, 16777215, 33554431, 134217727, 268435455, 2097151, 2097151]], [[567, 9, 90, 15, 56, 67, 89, 568, 789, 987]], [[6, 7, 7, 7, 268435455, 6, 7, 7, 7, 7]], [[1023, 7, 8, 7, 7, 8, 7, 8]], [[7, 7, 9, 268435455, 7, 7]], [[9999999, 987654321, 123456789, 99998, 111111111, 444555666, 12312312, 8888, 99999]], [[7, 7, 13, 7, 8, 1111, 268435455, 7, 7, 7]], [[10, 11, 12, 13, 14, 18, 56, 15, 16, 17, 18]], [[1024, 1025, 1026, 1027, 1028, 1029, 1111111111, 1032, 1033, 1026]], [[111111, 1111111, 11111111, 111111111, 1111111111, 111111, 1111, 111, 567]], [[7, 7, 8, 7, 8, 8, 8888, 7, 7, 7, 7, 7]], [[1111111111, 19, 18, 1111111112, 0]], [[1024, 1031, 1025, 1027, 89, 1029, 1030, 1032, 1033]], [[7, 7, 7, 8, 7, 7, 7, 7, 7, 7, 8]], [[567, 9, 90, 6, 15, 56, 67, 89, 524287, 568, 789, 9999999]], [[134217728, 16, 1024, 1026, 1028, 1029, 1030, 1031, 1032, 1033, 16, 1029, 16, 1032]], [[7, 7, 8, 7, 7, 8, 7, 7, 8]], [[7, 7, 7, 31, 8, 268435455, 7, 6, 8, 7, 7, 7, 7, 7]], [[567, 9, 90, 15, 55, 67, 89, 568, 789, 987]], [[7, 7, 7, 6, 7, 7, 17, 7, 7, 7, 7]], [[7, 1111111110, 1111111110, 7]], [[1111111111, 19, 1111111110, 1111111112, 0]], [[1029, 1024, 1025, 1026, 1027, 1027, 1028, 1030, 1029, 1030, 1032, 1033]], [[1024, 1025, 1024, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1033, 1028, 1030]], [[19, 0]], [[1024, 1031, 1025, 1027, 89, 1029, 1030, 1111111111, 1032, 1027, 1032]], [[7, 1027, 7, 7, 7, 268435455, 7, 7, 8, 6, 7, 7, 6]], [[1024, 1031, 1025, 1027, 1029, 1030, 1032, 1033, 1111111111]], [[1031, 10, 11, 12, 13, 14, 15, 568, 16, 17, 18, 99998, 19, 16]], [[567, 9, 90, 15, 56, 67, 777777, 89, 143, 568, 789, 987, 56, 15]], [[567, 9, 90, 15, 56, 67, 89, 568, 789, 9]], [[9999999, 123456789, 111111111, 444555666, 12312312, 8887, 99999]], [[7, 6, 7, 7, 9, 268435455, 7, 7]], [[2097151, 16777214, 524287, 12312312, 33554431, 134217727, 268435455]], [[1024, 1025, 1027, 1027, 1028, 1029, 1111111110, 268435455, 1111111111, 1032, 1033, 1029]], [[111111, 7, 7, 7, 7, 8, 7, 7, 8, 7, 7, 7]], [[16777215, 134217727, 268435455, 33554431, 33554430, 134217727, 16777215]], [[7, 7, 7, 6, 7, 8, 7, 7, 7]], [[6, 89, 7, 7, 8, 268435455, 6, 7, 7, 7]], [[7, 7, 7, 7, 8, 7, 7, 7, 7, 8]], [[1024, 1025, 1026, 1027, 17, 1028, 216, 1030, 1031, 1032, 1033, 1033]], [[7, 7, 7, 8, 7, 8887, 7, 7]], [[567, 9, 90, 15, 56, 67, 90, 143, 568, 789, 987]], [[7, 7, 7, 31, 268435455, 7, 6, 8, 7, 7, 7, 7, 7]], [[567, 9, 90, 12, 15, 56, 67, 89, 568, 789, 987, 789]], [[1024, 1031, 1025, 1027, 89, 1029, 1030, 1032, 1033, 1029]], [[7, 7, 7, 6, 7, 7, 7, 7, 7, 7]], [[7, 7, 13, 7, 8, 1111, 9, 268435455, 7, 7, 7]], [[1024, 1025, 1027, 1027, 1028, 1029, 1111111110, 268435455, 1111111111, 1032, 1033, 1024]], [[7, 1028, 7, 7, 7, 8, 268435455, 7, 7, 216, 7, 7, 7, 8]], [[7, 7, 7, 8, 7, 8887, 7, 7, 7]], [[8, 7, 7, 7, 8, 111, 7, 7, 7, 7, 8]], [[1024, 1025, 1026, 1027, 1028, 1029, 1030, 1111111111, 1032, 1033, 1032]], [[1024, 1025, 1026, 1027, 1028, 1029, 1031, 33554431, 1033, 1033]], [[7, 7, 6, 7, 8, 268435455, 7, 7, 7]], [[6, 7, 524287, 7, 7, 268435455, 6, 7, 5, 7, 7]], [[1024, 1024, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1033, 1028]], [[9999999, 17, 568, 777777, 111111111, 444555666, 12312312, 8888, 99999]], [[10000000, 987654321, 123456789, 777777, 111111111, 444555666, 12312312, 8888, 99999]], [[16, 1024, 1027, 1028, 1029, 1030, 16, 1030, 1032, 1033, 90, 16]], [[567, 9, 90, 15, 56, 67, 89, 568, 789, 9, 56]], [[111111, 7, 7, 7, 8, 8, 8, 7, 7, 1033, 8, 7, 7]], [[6, 7, 7, 7, 268435455, 268435455, 6, 7, 7, 7, 7, 268435455]], [[1111111111, 0, 1111111111, 1111111111]], [[134217728, 16, 1024, 1026, 1028, 1029, 1030, 1030, 1032, 1033, 16, 1029, 16, 1032]], [[7, 7, 6, 10, 8888, 7, 9, 7, 7, 7]], [[7, 1028, 7, 7, 7, 8, 268435455, 7, 7, 8, 6, 7, 6]], [[6, 7, 7, 7, 8, 268435455, 7, 6, 7, 7, 7, 7]], [[7, 7, 7, 8, 7, 7, 7, 7, 7, 7, 8, 7]], [[134217728, 2097152, 524287, 16777215, 33554431, 134217727, 268435455, 2097151]], [[7, 7, 7, 8, 8887, 7, 7]], [[7, 1028, 1033, 7, 7, 7, 10000000, 8, 268435455, 7, 7, 216, 7, 7, 8]], [[1024, 1025, 1027, 1027, 1028, 1029, 1111111110, 268435455, 1111111111, 1032, 1033, 268435456, 1029]], [[1111111113, 1111111111, 19, 1111111110, 1111111112, 0]], [[7, 1111, 7, 7, 8, 1111, 268435455, 7, 7, 8, 8, 7]], [[111111, 7, 7, 7, 7, 8, 8, 7, 1030, 8, 7, 7]], [[111111111, 89, 7, 7, 7, 7, 9, 268435455, 7, 7, 7]], [[7, 7, 7, 9, 268435455, 7, 7, 7]], [[7, 7, 7, 7, 8, 7, 7, 7]], [[19, 16777214, 0, 16777214]], [[7, 7, 7, 7, 31, 268435455, 7, 7, 8, 7, 7, 7, 7, 7]], [[8, 7, 7, 8, 7, 7, 7, 8]], [[1111111111, 1111111111, 19, 2, 0]], [[1031, 1025, 1026, 1027, 89, 1028, 1029, 1030, 1111111111, 1032, 1033, 1025]], [[111111, 1111111, 111111, 11111111, 111111112, 1111111111, 111111, 1111]], [[1024, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1033, 1028, 1033]], [[10, 11, 12, 13, 14, 15, 568, 15, 17, 18, 19, 16]], [[1111111111, 0, 1, 1111111111]], [[7, 7, 7, 31, 268435455, 7, 6, 8, 7, 7, 7, 7, 7, 8, 7]], [[7, 1028, 7, 7, 7, 8, 268435455, 7, 7, 8, 6, 7, 6, 1028]], [[15, 1111111, 111111111, 1111111111, 99999, 1111, 111, 11111]], [[1111111111, 1111111111, 19, 18, 1111111112, 0]], [[6, 7, 7, 7, 268435455, 6, 7, 7, 7, 7, 6]], [[1024, 1025, 1026, 1027, 1028, 1031, 33554431, 1033, 1033]], [[7, 7, 7, 31, 268435455, 7, 6, 8, 7, 7, 7, 7, 7, 8, 7, 7]], [[1024, 1025, 1027, 89, 1029, 1030, 143, 1032]], [[567, 9, 90, 12, 15, 56, 67, 89, 568, 789, 987, 789, 789]], [[567, 9, 90, 15, 56, 67, 16, 89, 568, 789, 987]], [[16, 1024, 1028, 1026, 1027, 1028, 1029, 1030, 1031, 1033, 16, 143, 16]], [[6, 7, 7, 7, 268435455, 6, 7, 7, 7, 6]], [[7, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7]], [[6, 7, 7, 7, 8, 268435455, 7, 6, 7, 7, 9]], [[2, 90, 2]], [[567, 90, 12, 15, 1030, 67, 89, 568, 789, 987, 789, 789]], [[7, 1028, 7, 7, 7, 8, 268435455, 7, 7, 216, 7, 7, 7, 8, 7, 7]], [[1024, 1025, 1027, 1027, 1028, 1111111110, 268435455, 1111111111, 1032, 1033]], [[7, 7, 7, 7, 9, 268435455, 7, 7, 7, 7]], [[7, 216, 1, 1111, 7, 7, 8, 1111, 268435455, 7, 7, 8, 8, 7]], [[1024, 1025, 1027, 1027, 1111111110, 1028, 1029, 1111111110, 268435455, 1111111111, 1032, 1033]], [[16, 1024, 1030, 1028, 1026, 1027, 1028, 1029, 1030, 1031, 1033, 16, 143, 16]], [[1024, 1025, 1027, 89, 1029, 1030, 143, 7]], [[9999999, 987654321, 123456789, 216, 777777, 99998, 111111111, 444555666, 12312312, 8888, 99999]], [[9999999, 123456789, 111111111, 10, 12312312, 8887, 99999]], [[16777215, 33554431, 134217727, 268435455, 33554431]], [[567, 9, 90, 15, 56, 67, 777777, 89, 143, 568, 789, 987, 56, 15, 90]], [[134217728, 2097151, 524287, 16777215, 33554431, 134217727, 268435455, 2097151, 2097151, 134217727]], [[16, 1024, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1029, 16]], [[1111111110, 1111111110, 7]], [[21, 1024, 1025, 1027, 1028, 1029, 1030, 1111111111, 1032, 1033]], [[1024, 1031, 1025, 1027, 14, 89, 1029, 1030, 1111111111, 1032, 1033, 1027]], [[567, 9, 90, 15, 56, 67, 89, 143, 568, 789, 987, 67]], [[111111, 7, 7, 7, 8, 8, 8, 8, 7, 7, 1033, 8, 7, 7]], [[134217728, 16, 1024, 9999999, 1028, 1029, 1030, 1031, 1032, 1033, 16, 1029, 16, 1032]], [[16, 1024, 1026, 1028, 1029, 1030, 1031, 1032, 1033, 16, 1029]], [[7, 7, 7, 8, 10, 8888, 7, 9, 7, 7, 9, 7]], [[7, 7, 7, 7, 9, 268435455, 7, 7, 7, 9]], [[2097151, 524287, 16777215, 33554431, 268435455, 2097151, 2097151]], [[1111111113, 1111111111, 19, 1111111110, 1111111112, 0, 1111111113]], [[1024, 1031, 1025, 1026, 14, 89, 1029, 1030, 1111111111, 1032, 1033, 1027]], [[16, 1024, 1030, 1028, 1026, 1027, 1028, 1029, 1030, 1031, 16, 143, 16, 1030, 16]], [[567, 9, 90, 12, 15, 56, 67, 9, 89, 568, 789, 987, 789, 789]], [[1111111111, 524287, 16777215, 33554431, 134217727, 268435455, 2097151, 2097152]], [[1031, 10, 12, 13, 14, 15, 568, 16, 17, 18, 19, 16, 568]], [[7, 7, 7, 7, 6, 8, 1111, 268435455, 7, 7, 7, 7]], [[111111, 7, 7, 7, 7, 8, 8, 7, 1030, 8, 7, 7, 7, 8]], [[1, 0, 777777]], [[1024, 1026, 1027, 1028, 1028, 1030, 1031, 1032, 1033, 1033, 1028]], [[7, 7, 13, 7, 8, 1111, 9, 268435455, 7, 7]], [[1024, 1025, 1027, 1027, 1028, 1029, 1111111110, 268435455, 1111111111, 1033]], [[90, 7, 7, 7, 8, 7, 7, 8, 7, 7]], [[567, 9, 90, 15, 56, 67, 90, 143, 789, 987]], [[7, 444555666, 7, 8, 7, 8887, 7, 7, 7]], [[1, 0, 0]], [[7, 7, 7, 7, 9, 268435455, 7, 7, 9]], [[1111111110, 0]], [[7, 7, 7, 31, 8, 268435455, 7, 6, 8, 7, 7, 7, 7, 7, 31]], [[6, 11, 7, 7, 8, 7, 6, 7, 7, 7]], [[1111111111, 19, 1111111112, 0, 1111111110]], [[6, 7, 524287, 7, 7, 45, 268435455, 6, 7, 5, 7, 7]], [[111111, 7, 7, 7, 7, 8, 8, 7, 7, 8, 7, 7, 111111]], [[1024, 1031, 1025, 1027, 89, 2, 1029, 1030, 1032, 1033, 1029]], [[1024, 1031, 1025, 1026, 14, 89, 1029, 11111111, 1030, 1111111111, 1032, 1033, 1027, 1025]], [[67, 2, 1]], [[134217728, 2097151, 524287, 16777215, 134217727, 268435455, 2097151, 134217728]], [[7, 7, 7, 7, 9, 268435455, 7, 7, 7, 7, 7, 7, 8]], [[1024, 1025, 1026, 1027, 1028, 1111111, 1029, 1030, 1032, 1031, 1033, 1031]], [[1024, 1024, 1027, 1027, 1028, 1029, 1111111110, 268435455, 1111111111, 1032, 1033, 1028]], [[1, 524287, 1, 0]], [[134217728, 16, 1024, 1026, 1028, 1030, 1029, 1030, 1031, 1032, 1033, 16, 1029, 16, 1032]], [[1024, 1025, 1027, 89, 1029, 1030, 143, 7, 7]], [[1111111112, 0]], [[7, 216, 1, 1111, 7, 7, 8, 1111, 268435455, 7, 8, 8, 7]], [[789, 567, 9, 90, 12, 15, 56, 67, 91, 89, 568, 789, 987, 789]], [[7, 1028, 1033, 7, 7, 7, 10000000, 8, 268435455, 7, 7, 216, 7, 7, 8, 7]], [[1024, 1024, 1027, 1027, 1029, 1029, 1111111110, 268435455, 1032, 1111111111, 1032, 1033, 1028]], [[7, 7, 7, 31, 22, 268435455, 7, 6, 8, 7, 7, 7, 7, 7, 8, 7]], [[16, 1024, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 17, 1029, 16]], [[1024, 1025, 1026, 1027, 1028, 1029, 1030, 1111111111, 1032, 1033, 1032, 1032, 1032]], [[1024, 1024, 1026, 524287, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1033, 1028]], [[1031, 1025, 1026, 1027, 89, 1028, 1029, 1030, 1111111111, 1032, 1033, 1025, 1025]], [[7, 7, 7, 7, 8, 268435455, 7, 7, 7, 7, 7]], [[1, 0, 777777, 777777, 0, 0]]]
results = [[1, 2, 4, 3, 5], [-4, -2, -6, -5, -3], [0, 1, 2, 4, 3], [], [2, 2, 4, 4, 3, 3, 5, 5, 5, 7, 77], [32, 3, 5, 6, 12, 44], [2, 4, 8, 16, 32], [4, 3, 5, 6, 7], [8, 9, 10, 12, 11], [333, 111, 222, 444], [0, 100000, 10101010, 100000000, 111111111], [0, 3, 12, 7, 15], [2, 4, 8, 6, 10], [16, 32, 64, 128, 256], [63, 127, 255, 511, 1023], [2, 4, 8, 6, 10, 10], [16, 32, 32, 64, 128, 256, 33], [9, 12, 7, 11], [4, 3, 5, 6, 6, 7], [3, 333, 111, 221, 222, 222, 222, 444], [3, 3, 333, 111, 222, 222, 222, 222, 444, 511], [32, 9, 12, 11, 127], [512, 3, 3, 333, 111, 221, 222, 222, 222, 444, 511], [0, 0, 15, 100000, 10101010], [15, 333, 111, 222, 444], [3, 3, 333, 111, 222, 222, 222, 444, 511], [0, 3, 3, 12, 7, 15], [2, 4, 6, 10, 10], [0, 3, 3, 3, 12, 12, 7, 15], [3, 3, 333, 111, 111, 222, 222, 222, 222, 444, 511], [15, 333, 333, 111, 222, 444], [2, 16, 32, 128, 256, 511], [0, 3, 12, 15], [0, 3, 3, 12, 15], [0, 3, 12, 7, 100000], [9, 12, 12, 7, 11], [32, 9, 12, 12, 11, 127], [4, 4, 5, 6, 7], [2, 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1033, 1031], [0, 0], [7, 7, 7, 7, 7, 7, 7], [0, 1111111111, 1111111111], [8, 7, 7, 7, 7, 7, 7, 7, 7], [1024, 1025, 1026, 1028, 1032, 1027, 1029, 1030, 1033, 89, 1031, 1111111111], [524287, 2097151, 16777214, 16777215, 33554431, 134217727, 268435455], [8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 268435455], [1024, 1025, 1026, 1028, 1032, 1027, 1027, 1029, 1030, 1033, 1111111111], [8, 8, 7, 7, 7, 7, 7, 7, 7], [1024, 1025, 1025, 1028, 1032, 1027, 1027, 1029, 1030, 1033, 1111111111], [1024, 17, 1025, 1026, 1028, 1032, 1027, 1029, 1030, 1033, 1033, 1031], [8, 7, 7, 7, 7, 7, 7, 7, 1111, 268435455], [1024, 1025, 1028, 1032, 1027, 1027, 1029, 1030, 1033, 1111111111], [8, 8, 7, 7, 7, 7, 7, 7], [8, 8, 1028, 7, 7, 7, 7, 7, 7, 7, 7, 7, 268435455], [8888, 99998, 99999, 777777, 9999999, 123456789, 444555666, 12312312, 987654321, 111111111], [9, 7, 7, 7, 7, 7, 7, 7, 268435455], [9, 7, 7, 7, 7, 7, 268435455], [1, 1111111111, 1111111111], [8, 7, 7, 7, 7, 7, 7, 7, 8888], [8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 111111], [16, 1024, 1028, 1032, 1027, 1029, 1030, 1033, 90, 1031], [134217728, 134217728, 524287, 2097151, 2097151, 16777215, 33554431, 134217727, 268435455], [9, 56, 67, 15, 89, 90, 568, 143, 789, 567, 987, 777777], [1024, 1025, 1026, 1028, 1032, 1027, 1029, 1033, 1033, 1031], [1024, 1025, 1028, 1032, 1027, 1027, 1029, 1030, 1033, 1111111111, 268435455], [8, 8, 8, 7, 7, 7, 7, 7, 7, 7], [8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 268435455], [0, 1], [8, 8, 8, 7, 7, 7, 7, 7], [0, 19, 1111111112, 1111111111], [1024, 1025, 1026, 1028, 1027, 1029, 1030, 1033, 1033, 1033, 1111111111], [1024, 1025, 1032, 1027, 1029, 1030, 1033, 89, 1031, 1111111111], [2097151, 16777215, 33554431, 134217727, 134217727, 268435455], [568, 8888, 99999, 777777, 9999999, 444555666, 12312312, 987654321, 111111111], [1024, 1025, 1026, 1028, 1032, 1027, 1029, 1033, 1111111111], [16, 10, 12, 17, 18, 11, 13, 14, 19], [8, 6, 6, 7, 7, 7, 7, 7, 7, 268435455], [0, 1, 1111111111], [1024, 1025, 1028, 1032, 1027, 1027, 1029, 1030, 1033, 789, 1111111111], [16, 16, 16, 1024, 1026, 1028, 1032, 1027, 1029, 1029, 1030, 1033, 1031], [1, 1111111111, 1111111111, 1111111111], [1024, 1024, 1025, 1026, 1028, 1028, 1032, 1027, 1029, 1030, 1033, 1033, 1031], [8, 10, 7, 7, 7, 7, 7, 7, 7, 8888], [8, 8, 7, 7, 7, 7, 7, 7, 7, 568], [1024, 1025, 1032, 1027, 1027, 1029, 1030, 1033, 89, 1031, 1111111111], [1025, 1028, 1028, 1032, 1027, 1029, 1030, 1033, 1023, 1111111111], [8, 7, 7, 7, 7, 7, 7, 7, 7, 7], [9, 7, 7, 7, 7, 7, 7, 7, 1027, 268435455], [8, 6, 6, 7, 7, 7, 7, 7, 7, 7, 268435455], [6, 6, 7, 7, 7, 7, 7, 7, 268435455], [8, 8, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 268435455], [8, 8, 7, 7, 7, 7, 7], [0, 1, 1111111110], [8, 7, 7, 7, 7, 7, 7, 7, 7], [8, 8, 8, 1028, 7, 7, 7, 7, 7, 7, 7, 7, 7, 268435455], [8, 9, 10, 7, 7, 7, 7, 7, 7, 7, 8888], [16, 16, 16, 1024, 1026, 1028, 1032, 1029, 1029, 1030, 1033, 1031], [8, 9, 10, 7, 7, 7, 7, 7, 7, 7, 7, 8888], [8, 8, 7, 7, 7, 7, 7, 7, 90], [1024, 1025, 1028, 1032, 1027, 1027, 1029, 1033, 1111111110, 1111111111, 268435455], [0, 1, 1], [8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 268435455], [1024, 1025, 1032, 1027, 1029, 1030, 1033, 89, 1031, 1111111111], [8, 8, 6, 6, 1028, 7, 7, 7, 7, 7, 7, 7, 7, 268435455], [568, 524287, 2097151, 16777214, 16777215, 33554431, 134217727, 268435455], [6, 7, 7, 7, 7, 7, 7, 7, 7], [8, 8, 8, 7, 7, 7, 7, 7, 1029], [9, 56, 56, 67, 15, 89, 90, 568, 143, 789, 567, 987, 777777], [8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 31, 268435455], [1024, 1025, 1026, 1028, 1032, 1027, 1027, 1029, 1030, 1033], [8, 8, 6, 7, 7, 7, 7, 7, 7, 7, 268435455], [0, 0, 1111111111], [8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 111111], [1024, 1025, 1028, 1028, 1032, 1027, 1027, 1029, 1033, 1111111110, 1111111111, 268435455], [6, 7, 7, 7, 7, 7, 7, 7, 7], [6, 6, 7, 7, 7, 7, 7, 7, 524287, 268435455], [134217728, 524287, 2097151, 2097151, 2097151, 16777215, 33554431, 134217727, 268435455], [6, 7, 7, 7, 7, 7, 7, 7], [111, 1111, 11110, 111111, 111111, 11111, 1111111, 11111111, 1111111111, 111111111], [8, 6, 7, 7, 7, 7, 7, 7, 7, 268435455], [2097151, 16777215, 33554431, 134217727, 268435455], [16, 16, 10, 12, 17, 18, 11, 13, 14, 19, 15, 568, 1031], [9, 56, 67, 15, 89, 90, 568, 143, 789, 567, 9999999], [1024, 1025, 1026, 1028, 1032, 1027, 1029, 1033], [8888, 777777, 9999999, 123456789, 444555666, 12312312, 12312312, 987654321, 111111111], [16, 16, 1024, 1028, 1032, 1027, 1029, 1030, 1030, 1033, 90], [1024, 1025, 1028, 1032, 1027, 1029, 1030, 1030, 1033, 1031], [1024, 1025, 1025, 1032, 1027, 1027, 1030, 1033, 111111, 1111111111], [8, 9, 10, 7, 7, 7, 7, 7, 7, 7, 7, 13, 8888], [8, 9, 7, 7, 7, 7, 7, 7, 7, 7, 31, 268435455], [8, 8, 8, 7, 7, 7, 7, 7, 1111, 1111, 268435455], [9, 9, 56, 67, 15, 89, 90, 568, 789, 567, 987], [524287, 2097151, 2097151, 2097151, 16777215, 33554431, 134217727, 268435455], [9, 56, 67, 15, 89, 90, 568, 789, 567, 987], [6, 6, 7, 7, 7, 7, 7, 7, 7, 268435455], [8, 8, 8, 7, 7, 7, 7, 1023], [9, 7, 7, 7, 7, 268435455], [8888, 99998, 99999, 9999999, 123456789, 444555666, 12312312, 987654321, 111111111], [8, 7, 7, 7, 7, 7, 7, 13, 1111, 268435455], [16, 10, 12, 17, 18, 18, 11, 13, 14, 56, 15], [1024, 1025, 1026, 1026, 1028, 1032, 1027, 1029, 1033, 1111111111], [111, 567, 1111, 111111, 111111, 1111111, 11111111, 1111111111, 111111111], [8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 8888], [0, 18, 19, 1111111112, 1111111111], [1024, 1025, 1032, 1027, 1029, 1030, 1033, 89, 1031], [8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7], [6, 9, 56, 67, 15, 89, 90, 568, 789, 567, 9999999, 524287], [16, 16, 16, 1024, 134217728, 1026, 1028, 1032, 1032, 1029, 1029, 1030, 1033, 1031], [8, 8, 8, 7, 7, 7, 7, 7, 7], [8, 8, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 31, 268435455], [9, 67, 15, 89, 90, 568, 55, 789, 567, 987], [6, 17, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 1111111110, 1111111110], [0, 19, 1111111112, 1111111110, 1111111111], [1024, 1025, 1026, 1028, 1032, 1027, 1027, 1029, 1029, 1030, 1030, 1033], [1024, 1024, 1025, 1026, 1028, 1028, 1032, 1027, 1029, 1030, 1030, 1033, 1033, 1031], [0, 19], [1024, 1025, 1032, 1032, 1027, 1027, 1029, 1030, 89, 1031, 1111111111], [8, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 1027, 268435455], [1024, 1025, 1032, 1027, 1029, 1030, 1033, 1031, 1111111111], [16, 16, 10, 12, 17, 18, 11, 13, 14, 19, 15, 568, 1031, 99998], [9, 56, 56, 67, 15, 15, 89, 90, 568, 143, 789, 567, 987, 777777], [9, 9, 56, 67, 15, 89, 90, 568, 789, 567], [8887, 99999, 9999999, 123456789, 444555666, 12312312, 111111111], [6, 9, 7, 7, 7, 7, 7, 268435455], [12312312, 524287, 2097151, 16777214, 33554431, 134217727, 268435455], [1024, 1025, 1028, 1032, 1027, 1027, 1029, 1029, 1033, 1111111110, 1111111111, 268435455], [8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 111111], [16777215, 16777215, 33554430, 33554431, 134217727, 134217727, 268435455], [8, 6, 7, 7, 7, 7, 7, 7, 7], [8, 6, 6, 7, 7, 7, 7, 7, 89, 268435455], [8, 8, 7, 7, 7, 7, 7, 7, 7, 7], [1024, 17, 1025, 1026, 1028, 1032, 1027, 1030, 1033, 1033, 216, 1031], [8, 7, 7, 7, 7, 7, 7, 8887], [9, 56, 67, 15, 90, 90, 568, 143, 789, 567, 987], [8, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 31, 268435455], [9, 12, 56, 67, 15, 89, 90, 568, 789, 789, 567, 987], [1024, 1025, 1032, 1027, 1029, 1029, 1030, 1033, 89, 1031], [6, 7, 7, 7, 7, 7, 7, 7, 7, 7], [8, 9, 7, 7, 7, 7, 7, 7, 13, 1111, 268435455], [1024, 1024, 1025, 1028, 1032, 1027, 1027, 1029, 1033, 1111111110, 1111111111, 268435455], [8, 8, 1028, 7, 7, 7, 7, 7, 7, 7, 7, 7, 216, 268435455], [8, 7, 7, 7, 7, 7, 7, 7, 8887], [8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 111], [1024, 1025, 1026, 1028, 1032, 1032, 1027, 1029, 1030, 1033, 1111111111], [1024, 1025, 1026, 1028, 1027, 1029, 1033, 1033, 1031, 33554431], [8, 6, 7, 7, 7, 7, 7, 7, 268435455], [5, 6, 6, 7, 7, 7, 7, 7, 7, 524287, 268435455], [1024, 1024, 1026, 1028, 1028, 1032, 1027, 1029, 1030, 1033, 1033, 1031], [17, 568, 8888, 99999, 777777, 9999999, 444555666, 12312312, 111111111], [8888, 10000000, 99999, 777777, 123456789, 444555666, 12312312, 987654321, 111111111], [16, 16, 16, 1024, 1028, 1032, 1027, 1029, 1030, 1030, 1033, 90], [9, 9, 56, 56, 67, 15, 89, 90, 568, 789, 567], [8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 1033, 111111], [6, 6, 7, 7, 7, 7, 7, 7, 7, 268435455, 268435455, 268435455], [0, 1111111111, 1111111111, 1111111111], [16, 16, 16, 1024, 134217728, 1026, 1028, 1032, 1032, 1029, 1029, 1030, 1030, 1033], [6, 9, 10, 7, 7, 7, 7, 7, 7, 8888], [8, 8, 6, 6, 1028, 7, 7, 7, 7, 7, 7, 7, 268435455], [8, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 268435455], [8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [2097152, 134217728, 524287, 2097151, 16777215, 33554431, 134217727, 268435455], [8, 7, 7, 7, 7, 7, 8887], [8, 8, 1028, 7, 7, 7, 7, 7, 7, 7, 7, 1033, 216, 10000000, 268435455], [1024, 268435456, 1025, 1028, 1032, 1027, 1027, 1029, 1029, 1033, 1111111110, 1111111111, 268435455], [0, 19, 1111111112, 1111111110, 1111111113, 1111111111], [8, 8, 8, 7, 7, 7, 7, 7, 7, 1111, 1111, 268435455], [8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 1030, 111111], [9, 7, 7, 7, 7, 7, 7, 7, 89, 111111111, 268435455], [9, 7, 7, 7, 7, 7, 7, 268435455], [8, 7, 7, 7, 7, 7, 7, 7], [0, 19, 16777214, 16777214], [8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 31, 268435455], [8, 8, 8, 7, 7, 7, 7, 7], [0, 2, 19, 1111111111, 1111111111], [1025, 1025, 1026, 1028, 1032, 1027, 1029, 1030, 1033, 89, 1031, 1111111111], [1111, 111111, 111111, 111111, 1111111, 11111111, 1111111111, 111111112], [1024, 1026, 1028, 1028, 1032, 1027, 1029, 1030, 1033, 1033, 1033, 1031], [16, 10, 12, 17, 18, 11, 13, 14, 19, 15, 15, 568], [0, 1, 1111111111, 1111111111], [8, 8, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 31, 268435455], [8, 8, 6, 6, 1028, 1028, 7, 7, 7, 7, 7, 7, 7, 268435455], [15, 111, 1111, 11111, 99999, 1111111, 1111111111, 111111111], [0, 18, 19, 1111111112, 1111111111, 1111111111], [6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 268435455], [1024, 1025, 1026, 1028, 1027, 1033, 1033, 1031, 33554431], [8, 8, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 31, 268435455], [1024, 1025, 1032, 1027, 1029, 1030, 89, 143], [9, 12, 56, 67, 15, 89, 90, 568, 789, 789, 789, 567, 987], [16, 9, 56, 67, 15, 89, 90, 568, 789, 567, 987], [16, 16, 16, 1024, 1026, 1028, 1028, 1027, 1029, 1030, 1033, 1031, 143], [6, 6, 6, 7, 7, 7, 7, 7, 7, 268435455], [6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [8, 6, 6, 9, 7, 7, 7, 7, 7, 7, 268435455], [2, 2, 90], [12, 67, 1030, 15, 89, 90, 568, 789, 789, 789, 567, 987], [8, 8, 1028, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 216, 268435455], [1024, 1025, 1028, 1032, 1027, 1027, 1033, 1111111110, 1111111111, 268435455], [9, 7, 7, 7, 7, 7, 7, 7, 7, 268435455], [1, 8, 8, 8, 7, 7, 7, 7, 7, 7, 216, 1111, 1111, 268435455], [1024, 1025, 1028, 1032, 1027, 1027, 1029, 1033, 1111111110, 1111111110, 1111111111, 268435455], [16, 16, 16, 1024, 1026, 1028, 1028, 1027, 1029, 1030, 1030, 1033, 1031, 143], [1024, 1025, 7, 1027, 1029, 1030, 89, 143], [216, 8888, 99998, 99999, 777777, 9999999, 123456789, 444555666, 12312312, 987654321, 111111111], [10, 8887, 99999, 9999999, 123456789, 12312312, 111111111], [16777215, 33554431, 33554431, 134217727, 268435455], [9, 56, 56, 67, 15, 15, 89, 90, 90, 568, 143, 789, 567, 987, 777777], [134217728, 524287, 2097151, 2097151, 2097151, 16777215, 33554431, 134217727, 134217727, 268435455], [16, 16, 1024, 1026, 1028, 1032, 1027, 1029, 1029, 1030, 1033, 1031], [7, 1111111110, 1111111110], [1024, 1025, 1028, 1032, 21, 1027, 1029, 1030, 1033, 1111111111], [1024, 1025, 1032, 14, 1027, 1027, 1029, 1030, 1033, 89, 1031, 1111111111], [9, 56, 67, 67, 15, 89, 90, 568, 143, 789, 567, 987], [8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 1033, 111111], [16, 16, 16, 1024, 134217728, 1028, 1032, 1032, 1029, 1029, 1030, 1033, 1031, 9999999], [16, 16, 1024, 1026, 1028, 1032, 1029, 1029, 1030, 1033, 1031], [8, 9, 9, 10, 7, 7, 7, 7, 7, 7, 7, 8888], [9, 9, 7, 7, 7, 7, 7, 7, 7, 268435455], [524287, 2097151, 2097151, 2097151, 16777215, 33554431, 268435455], [0, 19, 1111111112, 1111111110, 1111111113, 1111111113, 1111111111], [1024, 1025, 1026, 1032, 14, 1027, 1029, 1030, 1033, 89, 1031, 1111111111], [16, 16, 16, 16, 1024, 1026, 1028, 1028, 1027, 1029, 1030, 1030, 1030, 1031, 143], [9, 9, 12, 56, 67, 15, 89, 90, 568, 789, 789, 789, 567, 987], [2097152, 1111111111, 524287, 2097151, 16777215, 33554431, 134217727, 268435455], [16, 16, 10, 12, 17, 18, 13, 14, 19, 15, 568, 568, 1031], [8, 6, 7, 7, 7, 7, 7, 7, 7, 7, 1111, 268435455], [8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 1030, 111111], [0, 1, 777777], [1024, 1026, 1028, 1028, 1028, 1032, 1027, 1030, 1033, 1033, 1031], [8, 9, 7, 7, 7, 7, 7, 13, 1111, 268435455], [1024, 1025, 1028, 1027, 1027, 1029, 1033, 1111111110, 1111111111, 268435455], [8, 8, 7, 7, 7, 7, 7, 7, 7, 90], [9, 56, 67, 15, 90, 90, 143, 789, 567, 987], [8, 7, 7, 7, 7, 7, 7, 8887, 444555666], [0, 0, 1], [9, 9, 7, 7, 7, 7, 7, 7, 268435455], [0, 1111111110], [8, 8, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 31, 31, 268435455], [8, 6, 6, 7, 7, 7, 7, 7, 7, 11], [0, 19, 1111111112, 1111111110, 1111111111], [5, 6, 6, 7, 7, 7, 7, 7, 7, 45, 524287, 268435455], [8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 111111, 111111], [2, 1024, 1025, 1032, 1027, 1029, 1029, 1030, 1033, 89, 1031], [1024, 1025, 1025, 1026, 1032, 14, 1027, 1029, 1030, 1033, 89, 1031, 11111111, 1111111111], [1, 2, 67], [134217728, 134217728, 524287, 2097151, 2097151, 16777215, 134217727, 268435455], [8, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 268435455], [1024, 1025, 1026, 1028, 1032, 1027, 1029, 1030, 1033, 1031, 1031, 1111111], [1024, 1024, 1028, 1028, 1032, 1027, 1027, 1029, 1033, 1111111110, 1111111111, 268435455], [0, 1, 1, 524287], [16, 16, 16, 1024, 134217728, 1026, 1028, 1032, 1032, 1029, 1029, 1030, 1030, 1033, 1031], [1024, 1025, 7, 7, 1027, 1029, 1030, 89, 143], [0, 1111111112], [1, 8, 8, 8, 7, 7, 7, 7, 7, 216, 1111, 1111, 268435455], [9, 12, 56, 67, 15, 89, 90, 568, 91, 789, 789, 789, 567, 987], [8, 8, 1028, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1033, 216, 10000000, 268435455], [1024, 1024, 1028, 1032, 1032, 1027, 1027, 1029, 1029, 1033, 1111111110, 1111111111, 268435455], [8, 8, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 22, 31, 268435455], [16, 16, 1024, 17, 1026, 1028, 1032, 1027, 1029, 1029, 1030, 1033, 1031], [1024, 1025, 1026, 1028, 1032, 1032, 1032, 1032, 1027, 1029, 1030, 1033, 1111111111], [1024, 1024, 1026, 1028, 1028, 1032, 1027, 1029, 1030, 1033, 1033, 1031, 524287], [1025, 1025, 1025, 1026, 1028, 1032, 1027, 1029, 1030, 1033, 89, 1031, 1111111111], [8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 268435455], [0, 0, 0, 1, 777777, 777777]]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(sort_array)
print('___SENTINEL___')
| ffb9398e0082d043573b5ed4516e081d |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-4
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-04, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[[1, 5, 2, 3, 4]], [[-2, -3, -4, -5, -6]], [[1, 0, 2, 3, 4]]]
results = [[1, 2, 4, 3, 5], [-4, -2, -6, -5, -3], [0, 1, 2, 4, 3]]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(sort_array)
print('___SENTINEL___')
| a234fc5c5a2979dc64f329dacc86883d |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-6
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-07, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [['Mary had a little lamb', 4], ['Mary had a little lamb', 3], ['simple white space', 2], ['Hello world', 4], ['Uncle sam', 3], ['', 4], ['a b c d e f', 1], ['apple banana cherry', 3], ['random words are fun to write', 5], ['the quick brown fox jumps over the lazy dog', 6], ['the cat in the hat', 2], ['jingle bells jingle bells jingle all the way', 8], ['Python is a popular programming language', 3], ['', 1], ['this is a test string with multiple words containing different numbers of consonants', 7], ['quack quack goes the duck', 2], ['ThE qUiCk BrOwN fOx JuMpS oVeR tHe LaZy DoG', 6], ['apple banana cherry', 6], ['random words are fun to write', 2], ['Python isp a popular programming language', 3], ['apple banana chernry', 3], ['random words are fun to write', 8], ['apple banana cherry', 2], ['', 2], ['apple banana cherry', 1], ['apple banana chethe cat in the hatrry', 6], ['the quick brown fox jumps over the lazy dog', 1], ['quack quack goes the duck', 1], ['the quick browan fox jumps over the lazy dog', 0], ['Python isp a popular programming languagePython is a popular progrmming language', 2], ['appna cherry', 2], ['the quick brown fox jumps og', 1], ['this is a test string with multiple words containing different numbers of consonants', 6], ['Python isp a popular programmia popular progrmming language', 2], ['jingle bells jingle bells jingle all the way', 2], ['apple banappna cherryana cherry', 2], ['apple banappna cherryana cherry', 1], ['apple banaapple banana chethe cat in the hatrryppna cherryana cherry', 8], ['Python isp a popular programmia popular progrmming language', 1], ['ThE qUiCk BrOwN fOx JuMpS oVeR tHe LaZy DoG', 5], ['Python isp a popular programming language', 0], ['Python isp a popular programmia popular progrmming language', 3], ['Python isp a popular mprogramming language', 7], ['apple banana cherapple banaapple banana chethe cat ine hatrryppna cherryana cherryry', 2], ['apple banana chernry', 1], ['apple banappna cherryana cherr', 1], ['the quick brown fox jumps over the lazy dog', 0], ['apple banana chethe cat in the hatrry', 3], ['this is a test sThE qUiCk BrOwN fOx JuMpS oVeR tHe LaZy DoGds containing different numbers of consonants', 7], ['Pythion isp a popular programmia popular progrmming language', 2], ['apple banana cherapple banaapple banana chethe cat ine hatrrypypna cherryana cherryry', 2], ['Python isp a popular program ming language', 3], ['apple banana cherapple banaapple banana chethe cat ine hatrrypypna cherryana chcerryry', 2], ['the quick browan fox jumps over the lazy dog', 2], ['Python isp a popular program ming language', 1], ['apple banaapple banana chethe cat in the hatrryppna cherryana cherry', 1], ['the quick brown fox jumps over the lazy dog', 8], ['eapple banana chernry', 8], ['apple banana cherry', 5], ['random words are fun to write', 9], ['Pythion isp a popular programmia popular progrmming language', 1], ['ThE qUiCk BrOwN fOx JuMpS oVPython isp a popular program ming languageeR tHe LaZy DoG', 5], ['this is a test s tring with multiple words containing different numbers of consonants', 5], ['Python isp a popular program ming language', 5], ['this is a test s tring with multiple words containing different numbers of consonants', 6], ['apple banana chernry', 6], ['apple banana cheraptple banaapple banana chethe cat ine hatrrypypna cherryana chcerryry', 2], ['apple banana cherPython isp a popular mprogramming languageapple banaapple banana chethe cat ine hatrrypypna cherryana cherryry', 2], ['Thapple banana cherPython isp a popular mprogramming languageapple banaapple banana chethe cat ine hatrrypypna cherryana cherryryE qUiCk BrOwN fOx JuMpS oVeR tHe LaZy DoG', 6], ['the quick browan fox jumps over the lazy dog', 7], ['the quic k brown fox jumps over the lazy dog', 8], ['apple banaapple banana chethe cat in the hatrryppna cherryana cherry', 5], ['the quick browan fox jgumps over the lazy dog', 3], ['aeppna cherry', 2], ['Python isp a popular program mithe quick browan fox jgumps over the lazy dogng language', 1], ['Python isp a popular program ming language', 0], ['the quick brown fox jumps over the laapanana chethe cat ine hatrrypypna cherryana chcerryryzy dog', 1], ['this is a test string with multiplePython isp a popular program ming language words containing different numbers of consonants', 1], ['ther quick browan fox jumps over the lazy dog', 0], ['the quick brown fox jumps over tvhe lazy dog', 0], ['apple banaThE qUiCk BrOwN fOx JuMpS oVPython isp a popular program ming languageeR tHe LaZy DoGna cherry', 1], ['eapple banana cher nry', 8], ['apple banappna cherryana cherry', 0], ['jingle bells jingle bellthe quick brown fox jumps over the lazy dog all the way', 2], ['this is a test sThE qUiCk BrOwN fOx JuMpS oVeR tHe LaZy DoGds containing different numbers of consonants', 6], ['apple banaapple apple banana cherrybanana chethe cat in the hatrryppna cherryana cherry', 1], ['apple banappna cherryanra cherry', 9], ['apple baanana chernry', 6], ['ThE qUiCk BrOwN fOx JuMpS oVeR tHe LaZy DoG', 9], ['Python isp a popular programming language', 9], ['ThE qUiCk BrOwN fOx JuMpS oVeR tHe LaZy DoGS oVeR tHe LaZy DoG', 6], ['jingle bells jingle bells jingle all the way', 3], ['ThE qUiCk BrOwN fOx JuMpS oVeR tHe LaZy DoG', 2], ['aeppnac cherry', 0], ['jingle bells jingle bells jingle all t he way', 2], ['the quick browan fox jPython isp a popular program mithe qugick browan fox jgumps over the lazy dogng languageumps over the lazy dog', 0], ['Pythapple banappna cherryana cherron isp a popular mprogramming language', 7], ['Python isp a popular programming language', 2], ['Python isp a popular programminPython isp a popular programming languagePython is a popular progrmming languageg language', 0], ['apple banaapple apple banana cherrybanana chethe cat in the hatrryppna cherryana cherry', 6], ['ThE qUiCk BrOwN fOx JuMpS oVPython isp a popular program ming languageeR tHe LaZy DoG', 6], ['the quick browan fox jPython isp a popular program mithe qugick browan fox jgumps over the lazy dogng languageumps over the lazy dog', 1], ['the quick brown fox jumps og', 1], ['the quick brown fox jumps over tvhe lazy dog', 1], ['eapple banana chernry', 7], ['Python isp a popular programminPython isp a populathis is a test string with multiplePython isp a popular program ming language words containing different numbers of consonants programming languagePython is a popular progrmming languageg language', 0], ['random words are funy to wrPython isp a popular programming languageite', 5], ['', 5], ['aaa eee iii ooo uuu', 3], ['The quick brown fox jumped over the lazy dog', 6], ['The quick brown fox jumped over the lazy dog', 3], ['The Quick brown fox jUmPed over the lAzY dog', 5], ['ABCDEFGH', 0], ['Mississippi River', 4], ['ab cd ef gh ij', 2], ['the quick brown fox', 3], ['Qwertyuiopasdfghjklzxcvbnm', 10], ['The', 5], ['The Quick brown fox jUmPed over the lAzY dog', 2], ['Qwertyuiopasdfghjklzxcvbnm', 3], ['brown', 4], ['bwrown', 5], ['Thee Quick brown fox jUmPed over the lAzY dog', 2], ['The Quick brown fox jUmPed over the lAzY dog', 4], ['the quick brown fox', 6], ['The', 3], ['uuu', 3], ['uuu', 0], ['The quick brown fox jumped over the lazy dog', 5], ['the quick brown fox', 2], ['ABCDEFGH', 10], ['ab cd ef gh ij', 3], ['ThTe', 3], ['brown', 5], ['Mississippi River', 5], ['River', 3], ['aaa eee iii ooo uuu', 1], ['The quick brown fojx jumped over the lazy dog', 5], ['The quick brown fox jumped over the lazy dog', 0], ['The quick brown fojex jumped over the lazy dog', 5], ['Qwertyuiopasdfghjklzxcvbnm', 4], ['The Quick brown fox jUmPed over the lAzY dog', 9], ['gh', 0], ['The quick brown fojexd jumped over the lazy dog', 5], ['aaa eee iii ooo uuu', 2], ['jumpedABCDEFGH', 10], ['aaa eee iii ooo uuu', 0], ['the quick brown fox', 0], ['Qwertyvbnm', 4], ['aaa eee iii ooo uuuQuick', 6], ['guuuh', 1], ['Thee', 3], ['uuuu', 0], ['Theooo quick brown fox jumped over the lazy dog', 6], ['u', 3], ['Theooo quieck brown fox jumped over the lazy dog', 6], ['the quick brown fox', 1], ['guuuuh', 3], ['wbwrown', 5], ['uuuQuick', 10], ['guuuuh', 2], ['ab cd ef g ij', 2], ['The Quick brown fox jUmPed over the lAzY dog', 8], ['Thee Quick brown fox jUmPed over the lAzY dog', 3], ['Misesissippi River', 1], ['Quick', 6], ['The quick brown fox jumped over the lazy dog', 4], ['The Quick brown fox jUmPed over the lAzY dog', 7], ['Misppi River', 5], ['Thee Quick brown fox jUmPed over the lAzY dog', 4], ['thhe quick buuurown fox', 0], ['u', 2], ['The Quick brown fox jUmPed over the lAzY dog', 6], ['', 3], ['', 9], ['foTheooo quick browjn fox jumped over the lazy dog', 4], ['Thee Quick brown fox jUmPed over the lAzY dog', 8], ['Misppi Riuuuuver', 5], ['aaoa eee iii ooo uuuQuick', 6], ['The Quick bnrown fox jUmPed over the lAzY dog', 9], ['Quick', 5], ['The Quick brown fox jUmPed over the lAzY dog', 10], ['guuuu', 9], ['ThTheooo quieck brown fox jumped over the lazy doge Quick brown fox jUmPed over the lAzY dog', 7], ['iii', 0], ['The Quick bnrown fox jUmPed over the lAzY doggh', 2], ['The Quick brown fox jQuickUmPed over the lAzY dog', 5], ['buuurown', 1], ['the quick brown fox', 10], ['ab cd efb gh ij', 3], ['guuuuh', 9], ['aaoa eee iii oou uuick', 2], ['doggh', 3], ['The quick brown fojx jumped over the lazy dog', 10], ['iii', 6], ['iicdi', 0], ['aadoga eee iii ooo uuu', 2], ['iiiMississippi River', 6], ['braaoa eee iii ooo uuuQuickn', 9], ['the quick brown foxwbwrown', 4], ['ab cdf gh ij', 3], ['Thee Quick brown fox jUmPed over the lAzY dog', 9], ['ab', 4], ['the quick brown fox', 5], ['Qwertyuiopasdfghjklzxcvbnm', 2], ['thhe quick buuurownfox', 1], ['The quick brown fojx jumped over the lazy dog', 3], ['ab cd ef gh ij', 10], ['Thee', 9], ['The Quick bnrown fox jUmPed over the lAzY doggh', 6], ['aaa eee iii ooo uuuQuickguuuuh', 9], ['brown', 0], ['quick', 9], ['ab cd ef g ij', 1], ['The quick brown fox jumped over rthe lanzy dog', 5], ['bnrown', 3], ['Misesissippi River', 0], ['Qwertyuiopasdfghjklzxmcvbnm', 4], ['ab cd ef g ij', 6], ['lAzY', 5], ['quick', 10], ['bnrown', 9], ['iii', 5], ['aadoga eee iii ooo uuu', 5], ['The Quick brown foxaadoga jUmPed over the lAzY dog', 5], ['The quick brown fojx jumped over the lazy dog', 2], ['thjumpede quick brown fox', 0], ['iicdi', 2], ['thher quick buuurownfox', 1], ['ab ij', 10], ['ab cdguuuh ef g ij', 1], ['aaa eee iii ooo uuu', 10], ['The Quick brown foxaadoga jUmPed over the lAzY dog', 10], ['doggh', 6], ['Thab cdf gh ijy dog', 0], ['doge', 9], ['ed over the lazy dog', 5], ['Tee', 9], ['MisesissippiRiver', 0], ['the', 2], ['ab cd h ij', 3], ['ef', 10], ['ab cd ef g ij', 9], ['doggh', 1], ['iiicdi', 2], ['afoxb', 4], ['iii', 1], ['ij', 9], ['guu', 9], ['The', 10], ['Tee', 4], ['uuuQuick', 2], ['ab cddog ef gh ij', 2], ['The Quick brown fox jUmPed over tlanzyhe lAzY dog', 5], ['The Quick brown fox juuuUmPed oveer the lAzY dog', 9], ['aaoa eee iii oou uuick', 1], ['ABCDab cd h ijEFGH', 5], ['aaoathher', 1], ['doghgh', 6], ['ed over the lazy dohg', 5], ['TeThe Quick brown fox jUmPed over the lAzY doge', 4], ['thher quick buuurownfox', 10], ['jumpedABCCDEFGH', 10], ['The Quick brown fox jUmPed over the lAzY dog', 3], ['thher quick buuurowuuuQuickguuuuhnfox', 7], ['ijEFGH', 5], ['ef', 9], ['ef', 11], ['iicdi', 10], ['iij', 9], ['The Quick bnrown fox jUmPed over the lAzY doggh', 8], ['The Quick bnrown fox jUmPed over the lAzY dog', 7], ['Mispspi River', 5], ['iiab cdf gh ij', 2], ['The quick brown fojx jumped oviiiMississippier the lazy dog', 10], ['guuuuab cd ef gh ijh', 2], ['Tee', 0], ['iiafb cdf gh ij', 2], ['The quick brown fox jumped over rthe lyanzy dog', 1], ['aaa eee iii obrownoo uuuQuickguuuuh', 5], ['the quick browab', 2], ['the qquick brown fox', 2], ['cd', 7], ['uu', 3], ['foTheooo quick browjn fox jumped over the lazy dog', 0], ['uuuu', 3], ['doggh', 11], ['ab cd ef g ij', 5], ['Qwertyuiopasdfghjklkzxcvbnm', 6], ['ab cdf gh ij', 2], ['aaa eee iii ooo uuu', 9], ['The Quick brown fox jUmPed over the lAzY afoxbdog', 6], ['The Quick brown fox jUmPed over the lAzY dog', 0], ['foxaadoga', 7], ['thher quick buuurownfox', 11], ['aaacdguuuuh', 5], ['The Quick brown fox jUmPed over the lAzY aab cd ef g ijfoxbdog', 6], ['The quick brown fojx jumped oviiiMississippier the lazy dog', 6], ['iiii', 0], ['Mab cd ef g ijisppi River', 5], ['cddog', 0], ['Thee Quick brown fox jUmPed over the lAzY dog', 5], ['ab cddog ef gh ij', 0], ['Thee Quick brohwn fox jUmPed over the lAzY dog', 10], ['aaoathher', 6], ['aaa eee iii ooo uuuQuick', 4], ['The Quick brown foxaadAoga jUmPed over the lAzY dog', 5], ['lazy', 3], ['Misppi Rsr', 4], ['ab cdf gdh ij', 3], ['The quick brown fox jumped over rthe lyanzy dog', 5], ['MMississippi River', 4], ['thher quick buuurownfox', 9], ['ab cddog ef g', 2], ['guuuuh', 4], ['aaoa eee iii oou uuuick', 7], ['g', 2], ['Misesissippi River', 11], ['wbwrown', 9], ['Theeab cd h ij Quick brown fox jUmPed over the lAzY dog', 9], ['Qwerbtyuiopasdfghjklzxcvbnm', 4], ['aadee iii ooo uuu', 5], ['Misesissippi ooover', 11], ['oviiiMississippier', 6], ['rthe', 6], ['iiab cdf gh ij', 0], ['ab cd h ij', 10], ['MisesssippiRiver', 2], ['iiiMississippi River', 10], ['Thee Quick brown fThab cdf gh ijy dogox jUmPed over the lAzY dog', 9], ['obrownoo', 4], ['guuuuh', 8], ['Misesissippi River', 7], ['iiab cdf gh ij', 1], ['The Quick bnrown fox jUmPed oUver the lAzY dog', 9], ['aadee', 0], ['MisesissippiRiver', 11], ['foxwbwrown', 5], ['aaa eee iii ooo uuu', 5], ['Thee Quick brown fox jUmPed ov dog', 4], ['aiiafbadee iii ooo uuu', 5], ['Theeab cd h ij Quick brown fox jUmPed over the lAzY dog', 10], ['lanzy', 10], ['doggh', 9], ['ab cd ef g ij', 0], ['oviiiMississippier', 10], ['The Quick brown fox Qwertyuiopasdfghjklkzxcvbnmver the lAzY dog', 9], ['ijEFiGH', 5], ['the quick browab', 5], ['iiafb cdf gh ij', 7], ['Misesissippi ooover', 7], ['aadoga eee iii ooo uuu', 1], ['lyanzy', 8], ['ijy', 5], ['The Quick bnrown fox jUmPed oUver the lgAzY dog', 5], ['efab ij', 12], ['thher quick buuuroMisesissippiRiverx', 1], ['quieck', 2], ['juuuUmPed', 5], ['The Quick brown folx jUmPed over tlanzyhe lAzY dog', 5], ['the qudoghghick brown fox', 2], ['aaa eee iii obrownoo uuuQuickguuuuh', 4], ['jumpedABCDQuiQwertyuiopasdfghjklkzxcvbnmverckEFGH', 10], ['The Quick bnrown fox jUmPed oUver the lg', 4], ['The quick brown fojexd jumped oover the lazy dog', 5], ['oviiiMississippier', 7], ['cd', 12], ['ABCDab cd Gh ijEFGH', 5], ['oviiiMississippier', 4], ['doghggh', 11], ['Thab', 4], ['The Quick Thee Quick brown fThab cdf gh ijy dogox jUmPed over the lAzY dogbrown fox jUmPed over the lAzY aab cd ef g ijfoxbdog', 6], ['iicd', 1], ['MisesissippiRiver', 4], ['TeThe Quick berown fox jUmPed over the lAzY doge', 6], ['aaoathher', 5], ['aadoga eee iii ooo uu', 2], ['Mab cd ef g ijisppi RrtheiveQwertyuiopasdfghjklkzxcvbnmverr', 13], ['The Quick brown folx jUmPed over tlanzyhe lAzY dog', 4], ['braaoa eee iii ooo uuuQuickn', 5], ['rthe', 3], ['quick', 12], ['guuuu', 2], ['MisesssippiTeeRiver', 2], ['Qwertyuiopasdfghjklzxmcvbnm', 6], ['The Quick brown fox jUmPed eover the lAzY dog', 0], ['dh', 6], ['foxwbrwron', 5], ['doggh', 7], ['thhe quick buuhurownfox', 1], ['QwertyuiopasdfQwertyuiopasdfghjklkzxcvbnmverghjklzxcvbnm', 10], ['bwrown', 0], ['dogghh', 9], ['The quick d over the lazy dog', 6], ['ij', 10], ['ThTe', 11], ['thher quick buuurownfox', 6], ['uu', 5], ['aaa eee iii obrowunoo uuuQuickguuuuh', 5], ['Thee Quick brown fox jUmPed over the lAzY dog', 7], ['guuuu', 7], ['thhe', 3], ['The quick brown fojx jumped oviiiMississippier the lazy dog', 5], ['buuuroMisesissippiRiverx', 8], ['aaa eeeThe Quick brown fox jQuickUmPed over the lAzY dog iii ooo uuuQuick', 4], ['t he quick brown fox', 3], ['ab cad ef gh ij', 10], ['thher quick buuurownfox', 13], ['MisesissippiRiverQwerbtyuiopasdfghjklzxcvbnm', 0], ['TeThe Quick brown fox jUmPed oab cddog ef gver the lAzY doge', 4], ['The Quick brownThTheooo over the lAzY afoxbdog', 6], ['Misppi Riuuuuver', 7], ['bwrown', 12], ['Thee Quick brown fox jUmP ed over the lAzY dog', 9], ['Qwertyuiopasdfghjklzxcvbnm', 9], ['iiab cdf gch ij', 1], ['iijy', 5], ['thher quick buuurownfox', 8], ['tlanzyhe', 5], ['t he quick brown fox', 12], ['guuuuh', 11], ['gownuh', 3], ['ab ij', 6], ['brrowwn', 4], ['ga', 7], ['bwrown', 4], ['aaa eee iii obrownoo uuuQuickguuuuh', 1], ['uu', 7], ['Misesissippi River', 12], ['aadoga eee iii ooo uuu', 0], ['browThee', 5], ['guu', 8], ['ABCDab cd Gh ijEFGH', 4], ['MisppMi Rsr', 4], ['the qrown fox', 7], ['bworon', 5], ['rthe', 2], ['iiii', 4], ['Misesssipaaoa eee iii ooo uuuQuickpiRiver', 2], ['TeThe', 0], ['uuuQuickTheooo quieck brown fox jumped over the lazy dogpiRiveruuu', 0], ['iijiii', 6], ['e', 12], ['ThTheooo quieck brown fox jumped over the lazy doge Quick brown fox jUmPed over the lAzY dog', 5], ['the quick bthjumpedeown fox', 10], ['the quick brown foxwbwrown', 0], ['gaa', 7], ['Mab cd ef g ijisppi RrtheiveQwertyuiopasdfghjklkzxcvbnmverrThe', 5], ['ab cad ef gh ijthe quick brothherown foxwbwrown', 0], ['aaoa eee iii oou uuobrowunooick', 7], ['Mab', 5], ['ijEFiGH', 3], ['ThTe', 4], ['aadberownoga eee iii ooo uuu', 2], ['iiTheooo quieck brown fox jumped over the lazy dogicdi', 10], ['The Quickab cddog ef g brown fox jQuickUmPed over the lAzY dog', 5], ['Thee Quick brown fThab cdf gh ijy dogox jUmPed over the lAzY dog', 4], ['uuobrowunooick', 2], ['iicdi', 3], ['uuThe Quick brown fox jQuickUmPed over the lAzY dog', 5], ['The Quick brown fox jUmPed over iicdithe lAzY dog', 7], ['Misesissippi', 10], ['The quick brown fox jumped over rthe lyanzy dog', 5], ['ee', 9], ['Theeab', 2], ['guthe quick bthjumpedeown foxuuuh', 3], ['aadoga eee iii ooo uuu', 10], ['doge', 5], ['MMississippi River', 3], ['Misesissippi River', 8], ['pjumpDEFGH', 10], ['ab cd h ij', 4], ['QweTeThe Quick brown fox jUmPed over the lAzY dogertyuiopasdfghjklzxmcvbnm', 6], ['TeThe Quick berown fox jUmPed over the lAzY doge', 7], ['juuuUmPed', 10], ['euuue', 9], ['lanlzy', 10], ['bnrown', 11], ['The Quick brown fox juuuUmPed oveer the lAzY dogaaoa eee iii oou uuick', 2], ['jUmP', 5], ['bworon', 10], ['Qwertyuiopasdfghjklzxcvberownbnm', 4], ['The Quick brown fox juuuUmPed oveer the lAzY dogaaoa eee iii oou uuick', 3], ['ab ij', 9], ['ooover', 12], ['aaaab', 4], ['bwrrown', 0], ['ed over the lazy dog', 2], ['ABCDab cd h ijEFGH', 2], ['RrtheiveQwertyuiopasdfghjklkzxcvbnmverrThe', 4], ['MisesissipipiRiver', 0], ['guuuu', 11], ['uuuQuick', 8], ['Theeab cd h ij Quick brown fox jUmPed over the lAzY dog', 7], ['RrtheiveQwertyuiopasdfghjklkzxcvbnmverrThe', 3], ['aadoga eee iii oab cddog ef gh ijoo uuu', 0], ['The Quick brown fox jUmPed over the lAzY dog', 12], ['RrtheiveQwertyuiopasdfghjklkzxcvbnmverrThe', 5], ['jumpedABCCDEFGH', 4], ['The quick brown fojex jumped over theg', 5], ['MisppMi Rsr', 10], ['cc', 7], ['e quick brown foxwbwrown', 3], ['ABCDEFGH', 4], ['cc', 13], ['eQwerbtyuiopasdfghjklzxcvbnm', 1], ['Misppi River', 9], ['The Quick brown fox jUmPed over tlanzyhe lAzY dog', 12], ['thjumpede quick brown fox', 7], ['e quick brown foxwbwrown', 12], ['RrtheiveQwertyuiopasdfghjklkzxcvbnmverr', 4], ['The Quick brown folx jUmPed over tlanzyhe lAzY do', 4], ['guuuuab cd ef gh ijh', 6], ['lanlzy', 11], ['thhe quick buuurownfox', 0], ['iicd', 4], ['RrtheiveQwerityuiopasdfghjklkzxcvbnmverrThe', 4], ['aadoga eee iiid ooo uuu', 5], ['eTee', 4], ['guuuuab cd ef gh ijh', 1], ['efab ijgownuh', 3], ['abaaa eeeThe Quick brown fox jQuickUmPed over the lAzY dog iii ooo uuuQuick cd h ij', 3], ['Gh', 11], ['Thee Quick brohwn fox jUmPed over the lAzY dog', 4], ['lanlzy', 9], ['dogicdi', 7], ['ab ij', 7], ['aaa eeeef iii obrownoo uuuQuickguuuuh', 5], ['obrowunoo', 5], ['doge', 12], ['aadoga eee iii ooo uuu', 7], ['ThTheooo quieck brown fox jumped over the lazy doge Quick brown fox jUmPed over the lAzY dog', 8], ['aaoa eee iii oou uuick', 7], ['cd', 5], ['ov', 9], ['guuuuuh', 8], ['The Quick brown fox jUmPed over the lAijthegchdog', 4], ['quieck', 8], ['oab', 5], ['e quick brown foxwbwrown', 11], ['eaaacdguuuuhrown foxwbwrown', 4], ['folx', 6], ['ABCDab cd Gh ijEFGH', 12], ['folx', 12], ['thher quick buuuroMisesissippiRiverx', 4], ['TheTheooo Quick brown fox jUmPed over the lAzY dog', 5], ['guuuuuh', 11], ['ThTe', 8], ['Mab cd ef gThe Quick brown fox jUmPed over the lAzY aab cd ef g ijfoxbdog ijisppi RrtheiveQwertyuiopasdfghjklkzxcvbnmverr', 13], ['c', 10], ['Qwertiyuiopasdfghjklzxcvbnm', 3], ['iiTheooo', 9], ['ddogicdi', 7], ['jUmPed', 7], ['jumpedABCCDE', 10], ['t he quick brown fox', 13], ['ABCDEFGH', 5], ['MMississippi', 2], ['thhe quick buuhurownfox', 5], ['dbrownThTheooooge', 11], ['ijthe', 8], ['ab cd ef g ij', 10], ['ab ddog ef g', 12], ['The Quick brown fox jUmPed over tlanzyhe lAzY dog', 10], ['e quick brown foxwbwrown', 4], ['ed', 0], ['ab cd ef ij', 6], ['dogghh', 6], ['aiiafbadee iii ooo uuulyanzy', 11], ['ab cddog ef aiiafbadee iii ooo uuulyanzygh ij', 0], ['Te', 9], ['doggh', 8], ['eTeafoxbdoge', 4], ['iiiMississipp', 6], ['Mispspi', 5], ['The Quick brown fox jUmPed over tbuuurownhe lAzY dog', 8], ['dijy', 13], ['MisppiijEFGH Riuuuuver', 7], ['Theetbuuurownhe', 3], ['aaoa eee iii oou uuick', 9], ['The quick brown fox jumped over the lazy dog', 1], ['t xhe quick brown fox', 11], ['gouwnuh', 3], ['ooab', 5], ['Theeab cd h ij Quoverh the lAzY dog', 10], ['ijEFiGH', 7], ['uuab cdf gdh iju', 0], ['brown', 3], ['guuiiab cdf gch ijuu', 7], ['Thee Quick brown fox jUmPed over the lAzY dog', 12], ['uuuQuickTheooo quieck brown fox jumped over the lazy dogpiRiveruuu', 3], ['ThTheooo quieck brown fox jumped over th e lazy doge Quick brown fox jUmPed over the lAzY dog', 7], ['bthjumpedeown', 4], ['tdbrownThTheoooogehe qquick brorwn fox', 2], ['iiTheooo quieck brown fox jumped over the lazy dogicdi', 2], ['The Quick bnrown fox jUmPed oUver the lAzY dog', 8], ['cdddog', 7], ['the qudoghghick brown fox', 5], ['The Quick brown folx jUmPed over tlanzyhe lAzY do', 2], ['gdh', 5], ['brorwn', 5], ['The', 0], ['aoou 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[], [], [], ['aaa', 'eee', 'iiii', 'ooo', 'uuu'], [], [], [], [], [], ['brown', 'jumped'], [], [], [], [], [], ['y'], [], [], [], [], [], [], ['brown', 'jumped'], ['Toohe', 'fox', 'dog'], ['ABCDEFGAH'], [], [], [], [], [], [], [], [], [], ['Toohe', 'fox', 'dog'], [], [], [], [], [], [], [], [], ['nthe', 'quick', 'brox'], ['quuick'], ['quick'], ['bo'], [], [], [], [], [], [], [], [], [], ['quicqk'], [], [], [], [], [], ['Qaaa'], [], [], ['jumped'], ['jumpedover'], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], ['a', 'aa', 'euee', 'iii', 'ooo'], [], [], ['euee'], [], [], ['quick', 'tzy'], [], [], [], [], [], [], ['aaaaa'], [], [], [], [], ['brown', 'jumped'], [], [], [], [], [], [], ['fox', 'over', 'the', 'dog'], [], [], [], [], [], [], [], [], ['lazzy'], [], [], [], [], ['cd'], [], [], ['he'], [], [], [], [], [], ['reriiii'], [], [], [], [], [], [], [], [], [], [], ['the', 'fox'], [], [], ['over'], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], ['y'], ['theMississiThe'], [], ['fox', 'over', 'the', 'dog'], [], [], [], [], [], [], [], ['browonABCDEFGHr'], [], [], [], [], ['quick'], [], [], [], ['brownonr'], [], [], [], [], [], ['quick', 'tzy'], [], [], [], [], [], ['quickiiii', 'dogk'], [], [], [], [], [], [], [], [], [], [], [], [], [], [], ['cQuiick'], [], [], ['rbrown', 'Riverck'], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], ['fox'], [], ['aa'], [], [], [], [], ['ABCDEFG'], [], [], [], [], ['ab'], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], ['the'], [], [], [], [], [], [], [], [], ['cd'], [], [], [], ['The', 'fox', 'dog'], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], ['oo'], [], [], [], [], [], [], [], ['fox', 'over', 'dog'], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(select_words)
print('___SENTINEL___')
| dbb125b39cd293ff0a5d3ec05b07549f |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-4
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-04, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [['Mary had a little lamb', 4], ['Mary had a little lamb', 3], ['simple white space', 2], ['Hello world', 4], ['Uncle sam', 3]]
results = [['little'], ['Mary', 'lamb'], [], ['world'], ['Uncle']]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(select_words)
print('___SENTINEL___')
| 1ca4fb574f0c25b887b727554efc4425 |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-6
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-07, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [['yogurt'], ['full'], ['easy'], ['eAsy'], ['ali'], ['bad'], ['most'], ['ab'], ['ba'], ['quick'], ['anime'], ['Asia'], ['Above'], ['hello'], ['cup'], ['kill'], ['bike'], ['album'], ['mute'], ['nylon'], ['jelly'], ['hi'], ['try'], ['himute'], ['jejellylly'], ['hill'], ['hilljejellylly'], [''], ['alb'], ['hilljhejellylly'], ['ttrty'], ['helo'], ['lalb'], ['aabuum'], ['ehehilo'], ['tttrjejellyllyt'], ['kilbike'], ['bkike'], ['ccup'], ['ehehi'], ['kiill'], ['trjejellyllyt'], ['himuhilljejellyllyte'], ['hhimute'], ['ehehilohi'], ['knylonill'], ['bik'], ['hhhimutehimute'], ['hhimutehilljhejellyllbiky'], ['hhhimutehimuute'], ['halbilljhejellylly'], ['knyloknill'], ['knyonnill'], ['al'], ['hhimue'], ['ty'], ['knylonbikill'], ['ehello'], ['knyloknnill'], ['ehehhhimutehimutehilohi'], ['hillhhhimutehimuute'], ['ttrtybike'], ['hhhimutehimuuehehilote'], ['kilil'], ['hii'], ['hiylljejellly'], ['hialllhi'], ['knylonbik'], ['ehhimutehilljhejellyllbiky'], ['kiliiil'], ['ljelly'], ['halbilljhejellyy'], ['thilljejellylly'], ['knyloll'], ['nyhialllhilon'], ['kiliil'], ['hillll'], ['muthiie'], ['heolo'], ['lnyhialllhilon'], ['hialllihhi'], ['knkilbikieylonbikehehi'], ['eheho'], ['hiill'], ['lal'], ['mte'], ['hhiue'], ['hialllhhimutehi'], ['hiilhalbilljhejellyllyl'], ['h'], ['hlialllihhehehoi'], ['khhimueilbhiilhalbilljhejellyllylike'], ['ehehjellyo'], ['lehhello'], ['ljellly'], ['jlemuthiielly'], ['kiihlialllihhehehoill'], ['lly'], ['jelely'], ['jejhhimute'], ['hikillll'], ['trthialllihhiy'], ['knyonnillhhimue'], ['ehehhhimutehimutehilkilbikeohi'], ['jlemutly'], ['knylonbikilll'], ['hlikilhialllhhimutehilll'], ['lalbkike'], ['hhimutehilljhejellyllbikytmute'], ['hhimutbkikee'], ['hillhhhimhimuute'], ['ehlo'], ['hhhimutehimuuehehilalbkikelote'], ['tttuxiozmcnrvxaxeeeeekzpwiktlvbjjvydknsnhpbcttrrrzkurifpqjyypugyhiiiiiiiiiiiiiinprlxfaaaaaaaaaaaztqdwllntofsacsitzzlcnvtvlztxxmgwondjofzhhvyscurovmxebakretepxhapqjriulawnpeyxvlnufkwcyjxkiyhfwmbvdzmssxxpwoaynylrlzhkemjxbopglbghojxxwnovsmrqajx'], ['zzzqaiozzz'], ['abcdeffeedcba'], ['zbcdafghijklmnoprstuvwxeyzzouzzza'], ['tttxuxzzzrttt'], ['kooxnne'], ['bbkrtfdoiyyiuy'], ['UVWXYZuvwxya'], ['xyzabcDEFghi'], ['QWERTYqwerty'], ['zbcdafghijklmnoprszouzzza'], ['tttxuxzzzrtt'], ['qwerty'], ['zbcdafghijklmnoprstuvwxUVWXYZuvwxyaeyzzouzzza'], ['zbcdabbkrtfdoiyyiuyfghijklmnoprszouzzza'], ['tttxuxzzzrttQWERTYqwerty'], ['bbkrtiyyiuy'], ['bbkyrtfdoiyyiuy'], ['bbkrtiyyiuykooxnne'], ['kooxnzbcdabbkrtfdoiyyiuyfghijklmnoprszouzzzane'], ['zbcdafghijklmnoprszuouzzza'], ['zbcdafghijklmnoprstuvwxUVWXYZuvwxyaeyzzouzzzaqwerty'], ['qwertty'], ['qwertyxyzabcDEFghi'], ['xyzabcDEDFghi'], ['abdcdeffeedcba'], ['zzzqaiozzzbcdafghijklmnoprszuouzzzaz'], ['abcdzzzqaiozzzbcdafghijklmnoprszuouzzzazeffeedcba'], ['zbcdafghijklmnoprstuvwvwxyaeyzzouzzzaqwerty'], ['zbcdafghijklmnoprstuvwwxyaeyzzouzzzaqwerty'], ['tttuxiozmcnrvxaxeeeeekzpwiktlvbjjvydknsnhpbcttrrrzkurifpqjyypugyhiiiiiiiiiiiiiinprlxfaaaaaaaaaaaztqdwllntofsacsitzzlcnvtvlztxxmgwabcdzzzqaiozzzbcdafghijklmnoprszuouzzzazeffeedcbaondjofzhhvyscurovmxebakretepxhapqjriulawnpeyxvlnufkwcyjxkiyhfwmbvdzmssxxpwoaynylrlzhkemjxbopglbghojxxwnovsmrqajx'], ['zbcdabbkrtfdoiyyizbcdafghijklmnoprstuvwxUVWXYZuvwxyaeyzzouzzzaqwertyuyfghijklmnoprszouzzza'], ['xytttuxiozmcnrvxaxeeeeekzpwiktlvbjjvydknsnhpbcttrrrzkurifpqjyypugyhiiiiiiiiiiiiiinprlxfaaaaaaaaaaaztqdwllntofsacsitzzlcnvtvlztxxmgwabcdzzzqaiozzzbcdafghijklmnoprszuouzzzazeffeedcbaondjofzhhvyscurovmxebakretepxhapqjriulawnpeyxvlnufkwcyjxkiyhfwmbvdzmssxxpwoaynylrlzhkemjxbopglbghojxxwnovsmrqajxzabcDEFghi'], ['Mss'], ['abcdzzzqaiozzzxyzabcDEFghibcdafghijklmnoprszuouzzzazeffeedcba'], ['bbitttuxiozmcnrvxaxeeeeekzpwiktlvbjjvydknsnhptbcttrrrzkurifpqjyypugyhiiiiiiiiiiiiiinprlxfaaaaaaaaaaaztqdwllntofsacsitzzlcnvtvlztxxmgwondjofzhhvyscurovmxebakretepxhapqjriulawnpeyxvlnufkwcyjxkiyhfwmbvdzmssxxpwoaynylrlzhkemjxbopglbghojxxwnovsmrqajxkrtiyyiuykooxnne'], ['sMss'], ['zbcdafabcdeffeedcbaghijklmnoyprstuvwwxyaeyzzouzzzaqwerty'], ['sMbbkrtiyyiuyss'], ['zzzqaiozzzbcdafghijklmnoprszuouzzzzaz'], ['xytttuxiozmcnrvxaxeeeeekzpwiktlvbjjvydknsnhpbcttrrrzkurifpqjyypugyhiiiiiiiiiiiiiinprlxfaaaaaaaaaaaztqdwllntofsacsitzzlcnvtvlztxxmgwabcdzzzqaiozzzbcdafghijklmnoprszuouzzzazeffeedcbaondjofzhhvyscurovmxebakretepxhapqjriulawnpeyxvlnufkwcyjxkiyhfwmbvdzmssxxpwoaynylrlzhkemjxbopglbghoqwerttyjxxwnovsmrqajxzabcDEFghi'], ['zzzzqaiozzxyzabcDEFghizbcdafghikooxnnejklmnoprszuouzzzazbcdafghijklmnoprszouzzza'], ['abcdzzzqaiozzzbcdafghijklmnoprszuouzfzzazeffeedcba'], ['zbzbcdafghijklmnoprszouzzzacdmafghijklmnoprszuouzzza'], ['zbcdafghijkllmnoprszuouzzza'], ['zzzqaiozzzbcdafghijklmnxytttuxiozmcnrvxaxeeeeekzpwiktlvbjjvydknsnhpbcttrrrzkurifpqjyypugyhiiiiiiiiiiiiiinprlxfaaaaaaaaaaaztqdwllntofsacsitzzlcnvtvlztxxmgwabcdzzzqaiozzzbcdafghijklmnoprszuouzzzazeffeedcbaondjofzhhvyscurovmxebakretepxhapqjriulawnpeyxvlnufkwcyjxkiyhfwmbvdzmssxxpwoaynylrlzhkemjxbopglbghojxxwnovsmrqajxzabcDEFghioprszuouzzzaz'], ['tttxuxzzrttt'], ['Msss'], ['zbcdafghizbcdabbkrtfdoiyyizbcdafghijklmnoprstuvwxUVWXYZuvwxyaeyzzouzzzaqwertyuyfghijklmnoprszouzzzajklmnoprstuvwvwxyaeyzzouzzzaqwerty'], ['zbcdafghijklmnoprstuvQWERTYqwertywxeyzzouzzza'], ['zbcdafghizbcdabbkrtfdoiyyizbcdafghijklmnoprstuvwxUVWXYZuvwxyaeyzzouzzzaqwertyuyfghijklmnoprszouzzzajklmnoprstuvwvwxyaeyzzouzabcdeffeedcbazzaqwerty'], ['xyzabcDEDFghDi'], ['abdcdefabcdzzzqaiozzczbcdafghijklmnoprszuouzzzazeffeedcbafeedcba'], ['zbcdafghijklmnoprstuvwxUVWXYZuvzbcdafghijklmnoprstuvwxeyzzouzzzawxyaeyzzouzzza'], ['zbcdafghijkllmnoaprszluouzzza'], ['iqwertyxyzabcDEFghi'], ['zbcdabbkrtfdoiyyiuyfghijklmnoprszouzozza'], ['tttxuxzzzrttQWERTYqw'], ['zjklmnoprstuvEQWERTYqwertywxeyzzouzzza'], ['tttxuxzzzrttQWERTYTqw'], ['abccdeffeedcba'], ['s'], ['zbcdafghijklmnoprstuvwwabcdzzzqaiozzzxyzabcDEFghibcdafghijklmnoprszuouzzzazeffeedcbaxyaeyzzouzzzgaqwerty'], ['zbcdafghijklmnoprstuvwxUVtttuxiozmcnrvxaxeeeeekzpwiktlvbjjvydknsnhpbcttrrrzkurifpqjyypugyhiiiiiiiiiiiiiinprlxfaaaaaaaaaaaztqdwllntofsacsitzzlcnvtvlztxxmgwondjofzhhvyscurovmxebakretepxhapqjriulawnpeyxvlnufkwcyjxkiyhfwmbvdzmssxxpwoaynylrlzhkemjxbopglbghojxxwnovsmrqajxWXYZuvwxyaeyzzouzzzaqwerty'], ['zbcdafghijklmnoprstuvwxUVtttuxiozmcnrvxaxeeeeekzpwiktlvbjjvydknsnhpbcttrrrzkurifpqjyypugyhiiiiiiiiiiiiiinprlxfaaaaaaaaaaauztqdwllntofsacsitzzlcnvtvlztxxmgwondjofzhhvyscurovmxebakretepxhapqjriulawnpeyxvlnufkwcyjxkiyhfwmbvdzmssxxpwoaynylrlzhkemjxbopglbghojxxwnovsmrqajxWXYZuvwxyaeyzzouzzzaqwerty'], ['abdcdeffeeba'], ['zbcdafghijklmnoprstuvwxUVtttuxiozmcnrvxaxeeeeekzpwiktlvbjjvydknsnhpbcttrrrzkurifpqjyypugyhiiiiiiiizzzqaiozzzbcdafghijklmnoprszuouzzzaziiiiiinprlxfaaaaaaaaaaaztqdwllntofsacsitzzlcnvtvlztxxmgwondjofzhhvyscurovmxebakretepxhapqjriulawnpeyxvlnufkwcyjxkiyhfwmbvdzmssxxpwoaynylrlzhkemjxbopglbghojxxwnovsmrqajxWXYZuvwxyaeyzzouzaqwerty'], ['zbcdafghijklmnoprstuvwwabcdzzzqaiozzzxyzabcDEFghibcdafghijzzzqaiozzzbcdafghijklmnoprszuouzzzzazklmnoprszuouzzzazeffeedcbaxyaeyzzouzzzgaqwerty'], ['xyhzabcDEDFghDi'], ['zbcdafghijkzlmnoprszuouzzza'], ['tttExuxzzzrttQtttuxiozmcnrvxaxeeeeekzpwiktlvbjjvydknsnhpbcttrrrzkurifpqjyypugyhiiiiiiiiiiiiiinprlxfaaaaaaaaaaaztqdwllntofsacsitzzlcnvtvlztxxmgwondjofzhhvyscurovmxebakretepxhapqjriulawnpeyxvlnufkwcyjxkiyhfwmbvdzmssxxpwoaynylrlzhkemjxbopglbghojxxwnovsmrqajxWERTYqw'], ['abcdzzzqaiozzzbcdafghijklmnoprszuouzfzzazefzbcdafghijklmnoprstuvwwxyaeyzzouzzzaqwertyfeedcba'], ['xyzabczbcdafghijklmnoprstuvwxeyzzouzzzaDEDFghi'], ['bbitttuxiozmcnrvxaxeeeeekzpwiktlvbjjvydknsnhptbcttrrrzkurifpqjyypugyhiiiiiiiiiiiiiinprlxfaaaaaaaaaaaztqdwllntofsacsitzzlcnvtvlztxxmgwondjofzhhvyscurovmxebakretepxhapqjriulawnpeyxvlnufkwcyjxkiyhfwszmssxxpwoaynylrlzhkemjxbopglbghojxxwnovsmrqajxkrtiyyiuykooxnne'], ['zbcydafabcdeffeedcbaghijklmnoyprstuvwwxyaeyzzouzzzaqwerty'], ['tttrtt'], ['tttxuxzrty'], ['zxyzabcDEDFghi'], ['abcdzzzqaiozzzbcdafghijklmnobprszuouzzzazeffeedcba'], ['tttxuxzzrtttt'], ['abdcdeffeeMssdcbatttxuxzrty'], ['tttuxiozmcnrvxaxeeeeekzpwiktlvbjjvydknsnhpbcttrrrzkurifpqjyypugyhiiiiiiiiiiiiiinprlxfaaaaaaaaaaaztqdwllntofsacsitzzlcnvtvlztxxmgwondjofzhhvyscurovmxebakretepxhapqjriulawnpeyxvlnufkwcyjxkiyhfwmbvdzmssxxpwoaynylrlzhkemjxbopglbghojxxwnovesmrqajx'], ['tttuxzrty'], ['zbcdafghijkzlmnoprszuonuzzza'], ['tttExuxzzzrttQtttuxiozmcnrvxaxeeeeekzpwiktlvbjjvydknsnhpbcttrrrzkurifpqjyypugyhiiiiiiiiiiiiiinprlxfaaaaaaaaaaaztqdwllntofsacsitzzlcnvtvlztxxmgwondjofzhhvyscurovmxebakretepxhapqjriulawnpeyxvlnufkwcyjxkiyhfwmbvdzmssxuxpwoaynylrlzhkemjxbopglbghojxxwnovsmrqajxWERTYqw'], ['tttxuxzrtysMss'], ['bbkyyrtfdoiyyiuyy'], ['zbcdafghijklmnoprstuvwxUVtttuxiozmcnrvxaxeeeeekzpwiktlvbjjvydknsnhpbcttrrrzkurifpqtjyypugyhiiiiiiiizzzqaiozzzbcdafghijklmnoprszuouzzzaziiiiiinprlxfaaaaaaaaaaaztqdwllntofsacsitzzlcnvtvlztxxmgwondjofzhhvyscurovmxebakretepxhapqjriulawnpeyxvlnufkwcyjxkiyhfwmbvdzmssxxpwoaynylrlzhkemjxbopglbghojxxwnovsmrqajxWXYZuvwxyaeyzzouzaqwerty'], ['QWERTYqwerEty'], ['tttuxiozmcnrvxaxeeeeekzpwiktlvbjjvydknsnhpbcttrrrzkurifpqjyypugyhiiiiiiiiiiiiiinprlxfaaaaaaaaaaaztqdwllntofsretepxhapqjriulawnpeyxvlnufkwcyjxkiyhfwmbvdzmssxxpwoaynylrlzhkemjxbopglbghojxxwnovsmrqajx'], ['xytttuxiozmcnrvxaxeeeeekzpwiktlvbjjvydknsnhpbcttrrrzkurifpqjyypugyhiiiiiiiiiiiiiinprlxfaaaaaaaaaaaztqdwllntofsacsitzzlcnvtvlztxxmgwabcdzzzqaiozzzbcdafghijklmnoprszuouzzzazeulawnpeyxvlnufkwcyjxkiyhfwmbvdzmssxxpwoaynylrlzhkemjxbopglbghojxxwnovsmrqajxzabcDEFghi'], ['qwertyxyzabDcDEFghi'], ['zbcydafabcdeffeedcbaghijklmnoyprstuvwwxyaeyzzouzzzaqwerzbcdafghizbcdabbkrtfdoiyyizbcdafghijklmnoprstuvwxUVWXYZuvwxyaeyzzouzzzaqwertyuyfghijklmnoprszouzzzajklmnoprstuvwvwxyaeyzzouzzzaqwertyty'], ['tttxuxzztrtttt'], ['txyzabcDEDFghittuxzrty'], ['zzzszuouzzzaz'], ['zbcdafghijklmnoprstuvQWERTYqwertywxeyzzouzzzza'], ['zbcdafghijklmnoprstuvQWERTYqwertzzzszuouzzzazywxeyzzouzzzza'], ['xyzabcDhEiFghi'], ['xytttuxiozmcnrvxaxeeeeekzpwiktlvbjjvydknsnhpbcttrrrzkurifpqjyypugyhiiiiiiiiiiiiiinprlxfaaaaaaaaaaaztqdwllntofsacsitzzlcnvtvlztxxmgwabcdzzzqxaiozzzbcdafghijklmnoprszuouzzzazeulawnpeyxvlnufkwcyjxkiyhfwmbvdzmssxxpwoaynylrlzhkemjxbopglbghojxxwnovsmrqajxzabcDEFghi'], ['zbcdafghijklmnoprstuvwwabcdzzzqaiozzzxyzabcDEFghibcdafghijzzzqaiozzzbcdafghijklmnoprszuouzzzzazklmnoaprszuouzzzazeffeedcbaxyaeyzzouzzzbgaqwerty'], ['zbcdafghijklmnoprstuvwxUVtttuxiozmcnrvxaxeeeeekzpwiktlvbjjvydknsnhpbcttrrrzkurifpqjyypugyhiiiiiiiiiiiiiinprlxfaaaaaaaaaaauztqdwllntofsacsitzzlcnvtvlztxxmgwondjofzhhvyscurovmxebakretepxhapqjriulopglbghojxxwnovsmrqajxWXYZuvwxyaeyzzouzzzaqwerty'], ['xyzabczbcdafghi'], ['bbitttuxiozmcnrvxaxeeeeekzpwiktlvbjjvydknsnhptbcttrrrzkurifpsqjyypugyhiiiiiiiiiiiiiinprlxfaaaaaaaaaaaztqdwllntofsacsitzzlcnvtvlztxxmgwondjofzhhvyscurovmxebakretepxhapqjriulawnpeyxvlnufkwcyjxkiyhfwszmssxxpwoaynylrlzhkemjxbopglbghojxxwnovsmrqajxkrtiyyiuykooxnne'], ['xyzabczbsMbbkrtiyyiuysscdafghijklmnoprstuvwxeyzzouzzzaDEDFghi'], ['kooxnnzbcdabbkrtfdoiyyizbcdafghijklmnoprstuvwxUVWXYZuvwxyaeyzzouzzzaqwertyuyfghijklmnoprszouzzzae'], ['abcdzrzzqaiozzzbcdafghijklmnoprszuouzfzzazefzbcdafghijklmnoprstuvwwxyaeyzzouzzzaqwertyfeedcba'], 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results = ['u', 'u', '', '', '', 'a', 'o', '', '', '', 'i', '', 'o', 'e', 'u', 'i', 'i', 'u', 'u', 'o', 'e', '', '', 'u', 'e', 'i', 'e', '', '', 'e', '', 'e', 'a', '', 'i', 'e', 'i', 'i', 'u', 'e', '', 'e', 'e', 'u', 'o', 'i', 'i', 'u', 'i', 'i', 'e', 'i', 'i', '', 'i', '', 'i', 'e', 'i', 'o', 'i', 'i', 'o', 'i', '', 'e', '', 'i', 'i', 'i', 'e', 'e', 'e', 'o', 'o', 'i', 'i', 'u', '', 'o', 'i', 'e', 'e', '', 'a', '', '', 'e', 'e', '', 'e', 'i', 'e', 'e', 'e', 'u', 'e', '', 'e', 'u', 'i', 'i', 'i', 'i', 'u', 'i', 'i', 'i', 'u', 'i', 'i', '', 'o', 'a', '', 'e', 'e', 'u', '', '', 'u', 'E', 'e', 'o', 'u', 'e', 'u', 'o', 'e', 'i', '', 'i', 'a', 'o', 'e', 'e', 'E', 'E', 'e', 'a', 'e', 'e', 'e', 'a', 'o', 'E', '', 'e', 'i', '', 'e', 'i', 'a', 'E', 'o', 'e', 'o', 'o', 'a', 'u', '', 'e', 'e', 'e', 'E', 'a', 'a', 'i', 'E', 'o', 'E', 'e', 'E', 'e', '', 'e', 'e', 'e', 'e', 'e', 'e', 'E', 'o', 'E', 'e', 'E', 'i', 'e', '', 'u', 'E', 'e', 'u', 'u', 'a', 'u', 'u', 'E', 'u', '', 'e', 'E', 'a', 'E', 'E', 'e', 'u', 'u', 'a', 'e', 'e', 'a', 'E', 'e', 'e', 'a', 'i', 'E', 'o', 'e', 'E', 'e', 'e', 'E', 'u', 'u', 'i', 'e', 'a', 'e', 'a', 'e', 'E', 'o', 'o', 'a', 'u', 'a', 'E', 'e', 'e', 'e', 'a', 'E', 'e', 'u', 'o', 'i', '', 'a', 'e', 'E', 'E', 'a', 'E', 'E', 'o', 'e', 'i', 'e', 'E', 'e', 'e', 'i', 'o', 'i', 'u', 'e', 'E', 'a', 'E', 'a', 'o', 'e', 'E', 'a', 'o', 'a', 'i', 'a', 'o', 'i', 'e', 'u', 'u', 'e', 'e', 'e', 'a', 'o', 'E', 'i', 'u', 'i', 'e', 'E', 'u', 'a', 'e', '', 'e', 'u', 'a', 'a', 'o', 'a', 'E', 'E', 'e', '', 'E', 'a', 'a', 'a', 'a', 'u', 'a', '', 'u', 'i', 'E', 'e', 'o', 'u', 'a', 'o', 'e', 'e', 'a', 'a', 'e', 'e', 'e', 'e', 'e', '', 'u', 'e', 'a', 'i', 'a', 'o', 'a', 'a', '', 'E', 'e', 'e', 'a', 'i', 'E', 'a', 'e', 'e', 'e', 'i', 'i', 'u', 'e', 'e', 'i', 'e', 'E', 'u', '', 'o', 'a', 'a', 'u', 'a', 'i', 'e', '', 'o', '', 'u', 'a', 'i', 'E', 'e', 'E', 'E', 'e', 'a', 'e', 'E', 'a', 'u', 'o', 'a', 'i', 'a', 'a', 'a', 'u', 'E', 'e', 'e', 'u', 'a', 'E', 'i', 'e', 'E', 'E', 'a', 'a', 'E', 'e', 'e', 'a', 'e', 'u', 'a', 'a', 'e', 'u', 'i', 'e', 'e', 'i', 'e', 'a', 'a', 'i', 'e', 'e', 'E', 'E', 'a', 'e', 'e', 'o', 'e', 'e', 'i', 'o', 'e', 'e', 'a', 'u', 'o', 'E', '', 'u', 'e', 'a', 'i', 'o', 'i', 'E', 'e', 'a', 'i', 'u', 'o', 'a', 'e', 'a', 'o', 'a', '', 'e', 'u', 'u', 'E', 'E', '', 'a', 'i', 'a', 'u', 'u', 'a', '', 'e', 'E', 'e', 'i', '', 'a', 'e', 'o', 'E', '', 'e', 'a', 'e', 'a', 'e', 'a', 'a', 'a', 'e', 'e', 'i', 'a', 'a', 'a', 'a', 'E', 'a', 'a', 'o', 'e', 'E', 'e', 'e', 'u', 'o', 'e', 'e', 'e', 'a', 'i', 'E', 'e', 'a', 'i', 'E', 'o', 'o', 'e', 'a', 'e', 'E', 'u', 'E', 'E', 'u', 'a', 'E', 'i', 'u', 'i', 'e', 'e', 'a', 'e', 'o', 'a', 'E', '', 'e', 'e', 'a', 'a', 'E', 'E', 'i', 'i', 'a', 'E', 'o', 'e', 'o', 'e', 'o', 'e', 'a', 'E', 'E', 'e', 'e', 'o', 'e', 'e', 'u', 'a', '', 'a', 'e', 'a', 'a', 'a', 'a', 'i', '', 'e', 'a', 'u', 'u', 'e', 'e', 'a', 'i', 'u', 'e', 'a', 'a', 'e', 'e', 'u', 'i', 'a', 'E', 'u', 'e', 'a', 'E', 'e', 'u', 'a', 'e', 'E', 'E', 'e', 'e', 'e', 'a', 'o', '', 'a', 'E', 'e', 'i', 'u', 'e', 'E', 'E', 'o', 'o', '', '', '', '', '', 'a', '', '', 'E', 'E', 'a', 'e', 'E', 'e', 'e', 'e', 'e', 'e', 'e', 'a', 'e', 'a', 'u', '', 'o', 'o', 'E', 'E', 'a', 'e', 'a', 'o', 'i', 'o', 'e', 'E', 'E', 'e', 'o', 'a', 'E', 'a', 'u', 'e', 'e', 'o', 'o', 'o', 'u', 'i', '', '', 'u', 'E', 'E', 'o', 'e', 'e', 'e', 'a', 'o', 'i', 'i', 'o', 'u', 'e', 'a', 'i', 'e', 'a', 'e', 'e', 'E', '', '', 'e', 'E', 'e', 'i', 'E', 'e', 'e', 'E', 'a', 'e', 'e', 'u', 'a', 'a', 'E', 'e', 'e', 'a', 'a', 'e', 'a', 'e', 'a', 'o', 'i', 'i', 'a', '', 'e', 'u', 'i', 'i', 'e', 'a', 'a', 'o', 'a', 'E', 'i', 'o', '', 'e', '', 'a', 'e', 'e', 'i', 'i', 'u', '', 'i', 'e', 'e', 'o', 'u', 'o', 'a', 'u', 'i', 'u', 'a', 'e', 'e', 'e', 'a', 'a', 'a', 'i', 'e', 'e', 'e', '', 'E', 'E', '', 'e', 'o', 'e', 'a', 'o', 'u', 'i', 'e', 'u', 'e', 'e', 'e', 'e', 'u', 'E', 'e', 'e', 'o', 'e', 'e', 'e', 'e', 'a', 'a', '', 'i', 'e', 'E', 'o', 'u', 'E', 'E', 'o', 'a', 'a', 'o', 'e', 'E', 'e', 'i', 'o', 'a', 'E', 'U', 'i', 'o', '', 'i', 'E', 'a', 'i', '', 'e', 'a', '', 'u', 'o', 'a', 'E', 'i', 'e', 'a', 'e', 'a', 'o', 'o', 'i', 'e', 'E', 'i', 'u', 'E', 'e', 'e', '', 'i', 'a', 'e', 'E', 'e', 'a', 'e', 'E', 'e', 'E', 'a', '', 'u', 'E', 'i', 'u', 'i', 'o', 'i', 'i', 'a', 'o', 'e', 'o', '', 'e', 'a', 'u', 'o', 'E', 'i', 'e', 'e', '', 'a', '', 'a', 'i', '', 'a', 'o', 'e', 'u', 'e', 'e', 'o', 'E', 'i', 'e', 'E', 'a', 'i', 'e', 'u', 'e', 'i', 'e', '', 'E', 'e', 'i', 'i', 'e', 'E', 'o', 'o', 'a', 'o', 'e', 'E', 'u', 'a', 'e', 'e', 'E', 'o', 'u', 'o', 'a', '', 'a', 'i', 'o', 'o', 'e', 'i', 'e', 'e', 'e', 'o', 'a', 'u', 'a', 'a', 'i', 'E', '', 'a', 'a', 'e', 'a', 'a', 'o', 'e', 'i', 'o', '', 'e', 'i', 'e', 'E', 'o', 'a', 'o', 'i', 'a', 'e', '', 'i', 'a', 'e', 'e', '', 'i', 'E', 'o', 'o', 'i', 'e', '', 'a', 'i', 'e', 'E', 'e', 'o', 'e', 'i', 'i', 'e', 'a', 'a', 'o', 'a', 'i', 'a', 'o', '', '', 'e', 'e', 'e', 'E', 'e', 'o', 'a', 'E', 'a', 'i', 'i', 'o', 'e', 'I', 'i', 'e', 'u']
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(get_closest_vowel)
print('___SENTINEL___')
| 12c52f12f6772e94adc90b77c3feaa2a |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-4
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-04, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [['yogurt'], ['FULL'], ['quick'], ['ab']]
results = ['u', 'U', '', '']
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(get_closest_vowel)
print('___SENTINEL___')
| 43b2ce9e1d16862ff98b83eb0f47f056 |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-6
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-07, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[['()(', ')']], [[')', ')']], [['(()(())', '())())']], [[')())', '(()()(']], [['(())))', '(()())((']], [['()', '())']], [['(()(', '()))()']], [['((((', '((())']], [[')(()', '(()(']], [[')(', ')(']], [['(', ')']], [[')', '(']], [['(', '(']], [['))', '))']], [['(', '()())(']], [['()()', '()()()']], [['(())', ')()(']], [['()()', '))']], [['((', '))']], [['(((', ')))']], [['()', ')()(']], [['())(', '()']], [['(', '((']], [['()()()()', '))']], [['()()()(', '))']], [['()()()(()())', '))']], [['', '(']], [['()()(()()()()()', '))']], [['()()()(', ')()()()(()()))']], [[')()()()(', ')()()()(()()))']], [[')()(', ')()(']], [[')()(', ')())()()()(']], [[')()()()(()()))', '(']], [['()(()()()(()()))()(()())', '))']], [['((', '(']], [['()(()()()(()()))()(()())', '()(()(()()(()()))()(()())']], [['())(', '((']], [['()()', '()()()()()()()']], [['())))(', '((']], [['', '((']], [['(((', '(']], [['()(()()()()))()(()())', '))']], [['())(', '())']], [['()()', '()()']], [['((', '((']], [[')()(', ')()))()()()(']], [['(())(', '()']], [['()()()(', '))())']], [['))())', '((']], [['', '']], [['(', '()(']], [['()())((((', ')))']], [['((', ')()(']], [['()(()()()(()()))()(()())', '()(()(()()(()()())(()())']], [['((', '()())(']], [['(())(((', '))']], [['(((', ')']], [['()()()()()()()', '']], [['()()((', ')()(']], [['((', ')()))()()()(']], [['((', '']], [['(())', ')))()))(']], [['()()(())())', '))())']], [['()()()()()()()()()()()', '()()()()()()()']], [['())))(', ')()()()(()()))']], [[')()()()(()()))', '((']], [['()())(())(', '((']], [['()()()(()())', ')()()()())']], [['((', '()()()()(()()))(']], [['())(', '())(']], [['((((', '(']], [['(())', '()())()))()()((']], [['()())((((', '))))']], [['', '()()(()()()()()']], [['()()()((', '))())']], [['()())(())(', ')()()()(()()))']], [[')()()()(()()))', '())))(']], [['', '()']], [[')()))()))))()()(', ')()))()()()(']], [[')()(', ')()()()(()()))']], [['()(()()()()))()(()())', ')()()()())']], [['())(', ')()']], [['((', '()()(']], [[')()))()))))()()(', ')()))()(()((())(']], [['(())(', '()())(())((()']], [['(()(', '()']], [['(())(((', '()()()()()()()()()()()']], [['()()()()()()()', '))))']], [['()()()((', '))(']], [['', '())']], [[')())()()()(', '()']], [['()', '()']], [['((', '()()()()()()()()()(']], [['((((', ')()))()))))()()(']], [['(())(', '()()()()()()()()())(())((()']], [['((', '()())()))()()((']], [['()())(()))(', ')()()()(()()))']], [['()(((', '()()((']], [[')()(', ')()))()()(()(']], [[')()))()()(()((((', '(']], [['())()()()()(', '()']], [['()()()(', ')()))()()(()((((']], [['()()()))))((', '))(']], [['()(()()()()))()(()())', '((']], [['()()((', '()()(']], [['(())', '(((']], [['(()(()()(()()())', ')))()))(']], [['()(()()()(()()))()(()())', '((((']], [['(((', '()()(']], [['()()()()(()()))(', '(()))(((']], [['())))(', '(']], [['(', '()(()))()']], [['(((((((', '((((())))))))']], [['()(((', '))))']], [[')(()()', '((((((())))']], [['())()()(', ')))))(']], [['(((())))', '()']], [[')()()(', '(()))']], [[')))))', '(((((']], [['((', ')))))(((']], [['(()(', '))))']], [['())()()(', ')))(()()))(']], [['(((())))', '(((())))']], [['())()()(', ')))))(((']], [[')()())(', '(()))']], [['(((())))', '(()))']], [['())()())))))(', ')))(()()))(']], [['((((())))))))', '))))']], [['()(((', ')))))']], [['((((())))))))', '((((()))))((((()))))))))))']], [['(', ')))))(((']], [['((()(', '))))']], [['((((())))))))', '((((()))))(())']], [['(', ')))))']], [['((((())))))))', '((((()))))((((())))))))))))))((())']], [[')))(()()))(', ')))(()()))(']], [['((((((())))', '))))']], [[')))(', ')))(()())))(']], [['((()((', '))))']], [['((((())))))))', '((((()))))((((()))))))))))))))((())']], [['(((())))))))((()', '(((())))']], [['((((((())())', '))))']], [[')))))(((', '())()()(']], [['()(((', '((((()))))(())']], [['((((())))))))', '((((()))))(()))(()())))()))))))))))((())']], [['(()(', ')))(()()))(']], [['(((((', '()']], [[')()()(', '(']], [['()(((', '((((())))))))))(())']], [['((((()((((((()))))))', '))))']], [['((((()(()))))))', ')))))']], [[')()(((', '((((()))))(())']], [['((((((((()))))(()))(()())))()))))))))))((())()((((((()))))))', '))))']], [['(((()()))', '(((())))']], [['((((()))))(((((())))))))))))))((())', '((((()))))((((())))))))))))))((())']], [['((((()))))(((((())))))))))))))((())', '()(()))()']], [['()', '(((())))']], [['((((((((()))))(()))(()())))()))))))))))((())()((((((()))))))', ')))(()())))(']], [[')))))(((', '))))']], [['(()()()()(', '(()))']], [[')))(()()))(((((()))))(((((())))))))))))))((())', ')))(()())))(']], [['(()))))(', '))))']], [[')((((()((((((()))))))))))', '(((((']], [['())()()(', '())()()(']], [['(', '()((((()((()']], [['((((()))))', '((((()))))((((()))))))))))))))((())']], [['(((((((', '(']], [['())()()(', '(()(']], [['()((()))(', '((((()))))(())']], [['())()())))))(', '()()))(']], [[')()(', '(()))']], [['(()(', '))))()(((']], [['()((()))(())()()(', '(()(']], [['(((((((', '((']], [['(()(', '((']], [['()(((', '()(((']], [['((', '()((((()((()']], [[')))))', '((()(()()((']], [['((((((()()))((((((()((((((()))))))(())))', '((((((()()))(((())))']], [['())()()))))', '()()))(']], [['()((()))(', '(((((((']], [[')))(((())))()))(', ')))(()()))(']], [['(((((((', '((((()))))(())']], [[')()(', '()']], [[')(()()', ')))))(((']], [['(()(', ')))))']], [['((()((()))()()()()(', '(()))']], [[')))))', ')))))']], [[')()(((', ')))(()()))(']], [['(()((', ')))(()()))(']], [['((((((())))', ')))))']], [['())()()))))', '((((())))))))']], [['())()()))(()()))()(', ')))))(((']], [['))))', '((((()))))((((()))))))))))))))((())']], [[')))))', '()((()))(']], [['(()((', ')()())(']], [['(()(', '(()))']], [[')(()()', ')(()()']], [[')))))((', ')))))(((']], [[')()())(', '()((()))(())()()(']], [[')))(()())))(', '))))']], [['((((()))))((((())))))))))))))((())', '(()))']], [[')))))', '))))']], [[')))))((', '(()))))(']], [['((((())))))))', '']], [['())()())))()())())', '((((())))))))']], [['))))', '((((()))))(())']], [['(((((', '((((()))))(())']], [['((()((()))()()()()(', '()((((()((()']], [[')()(', '(())))']], [['((()((', ')))(()()))(']], [['()(((', '()((((((())))))))))(())(']], [['()((()))(', '(((((((()))))(((((())))))))))))))((())((((']], [['()(()))()', '))))']], [[')))))', '((((()((((((()))))))']], [['((((()))))(())', '((((()))))(())']], [['()))))()(((', '()(((']], [['()(((', ')()(((']], [['())(()()(', '(()(']], [[')))))', '))(()))))))']], [['((((()))))', '(()))']], [[')()(', '((()(']], [['()((()))(', '((((()()))((((((']], [['()()))(', '()']], [['(()(', '(((']], [[')))))((', '()()))(']], [['()))(((())))()))((()(()()((', '((()(()()((']], [['(()(((((()((((((()))))))', '(()(']], [['))(()))))))', '))(()))))))']], [['()))()())))))(', '())()())))))(']], [['()((((', '()((((((())))))))))(())(']], [['((((((', '()']], [['()))()())))))(', '()(((']], [[')))))', '()(((']], [['((((()))))))))))(())', '())()())))))(']], [['())()()))))', '))))']], [[')))(', '(()((']], [['(((((((())))', ')))))']], [['((((()((((((()))))))', '))())))))()((()']], [['(((((', ')()']], 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results = ['Yes', 'No', 'No', 'Yes', 'Yes', 'No', 'Yes', 'No', 'No', 'No', 'Yes', 'Yes', 'No', 'No', 'No', 'Yes', 'No', 'No', 'Yes', 'Yes', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'Yes', 'No', 'No', 'No', 'No', 'No', 'Yes', 'No', 'No', 'No', 'No', 'No', 'Yes', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'Yes', 'No', 'No', 'No', 'No', 'No', 'Yes', 'No', 'Yes', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'Yes', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'Yes', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'Yes', 'No', 'No', 'No', 'No', 'Yes', 'No', 'Yes', 'No', 'No', 'No', 'Yes', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'Yes', 'No', 'No', 'Yes', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'Yes', 'No', 'No', 'No', 'No', 'No', 'No', 'Yes', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'Yes', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'Yes', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'Yes', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'Yes', 'No', 'No', 'No', 'No', 'No', 'No', 'Yes', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'Yes', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'Yes', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'Yes', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'Yes', 'No', 'No', 'No', 'No', 'Yes', 'No', 'No', 'No', 'No', 'No', 'Yes', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'Yes', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'Yes', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'Yes', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'Yes', 'No']
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(match_parens)
print('___SENTINEL___')
| 259cb29109c9bd26b7ead89008ee5e04 |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-4
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-04, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[['()(', ')']], [[')', ')']]]
results = ['Yes', 'No']
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(match_parens)
print('___SENTINEL___')
| 61f09ec3b23f48a89409e08cbc7f1e0a |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-6
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-07, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[[-3, -4, 5], 3], [[4, -4, 4], 2], [[-3, 2, 1, 2, -1, -2, 1], 1], [[123, -123, 20, 0, 1, 2, -3], 3], [[-123, 20, 0, 1, 2, -3], 4], [[5, 15, 0, 3, -13, -8, 0], 7], [[-1, 0, 2, 5, 3, -10], 2], [[1, 0, 5, -7], 1], [[4, -4], 2], [[-10, 10], 2], [[1, 2, 3, -23, 243, -400, 0], 0], [[1, 2, 3, 4, 5], 3], [[-1, -2, -3, -4, -5], 2], [[2, 2, 2, 2, 2], 3], [[0, 0, 0, 0, 0, 0], 4], [[1, 2, 3], 1], [[1], 0], [[0], 1], [[-2, 5, 10, 3, 8], 4], [[-1000, 0, 1000], 3], [[5, 2, 1], 1], [[-2, 5, 4, 10, 3, 8], 4], [[2, 2, 2, 2, 2, 2], 3], [[1, 4, 4], 1], [[1, 1], 0], [[2, 2, 2, 2, 2], 2], [[1, 2, -3, 2], 1], [[2, 2, 2, 2, 2, 2], 2], [[1, 1, 1], 0], [[2, 2, 2, 2, 2, 2], 1], [[1, 1, 1], 1], [[1, 2, 3], 2], [[-1, -3, -2, -3, -4, 10, -5], 2], [[2, 2, 2, 2, 2], 1], [[2, 3, 2, 2, 2], 1], [[1, 2, 3, 3], 1], [[2, 2, 2, 2, 2], 0], [[-1, -2, -3, -3, 10, -5], 3], [[2, 2, 8, 2, 2, 2], 2], [[0, 0, 0, 0, 0, 0, 0], 5], [[0, 0, 0, 0, 0], 4], [[1, 4, 4, 4], 1], [[-3, 1], 0], [[-3], 0], [[0, -3, 1, -3], 0], [[2, 3, 2, 2, 2], 2], [[-1, -2, -3, -4, -5, -4], 2], [[2, 3], 2], [[0, 0, 0, 0], 4], [[-3, 1], 1], [[0, 1, 4, 4], 2], [[1, 4, 4, 1], 1], [[1, 2, 2, 3, 4, 5], 3], [[0], 0], [[-4, -3, 1], 1], [[-2, 5, 4, 10, 3, 8, 3], 3], [[1], 1], [[-1, 5, 4, 4, 4], 1], [[5, 2, 1], 2], [[0, 1000, 0, 0], 4], [[2, 3, 2, 3, 2], 2], [[2, 2, 2, 2, 2, 2, 2], 5], [[1, 10, 4, 4], 1], [[2, 3, 2, 3, 2, 2], 2], [[0, 0], 0], [[0, -3, 1, -3, -3], 0], [[-2, -3, -3, 10, -5], 4], [[1, 2, -3], 1], [[1, 2, 3, 3], 0], [[-1, -2, -3, 10, -5], 3], [[0, 0, 0, 0, 0, 0, 0], 4], [[-1, -2, -3, 10, -5], 2], [[2, 2, 2, -999, 2], 0], [[1, 1], 1], [[-1000, 0, 1000], 1], [[1, 2, -3, 2, 2], 2], [[2, 0, 0, 0, 0, 0], 0], [[1, 10, 4], 1], [[2, 2, 2, 2, 2, 2, 2], 4], [[-1, -2, -3, -3, 10, 10, -5], 3], [[-3, -3], 0], [[-1, 11, -2, -3, 10, -5], 3], [[-2, -3, -4, -5], 2], [[0, 0], 1], [[1, 4], 1], [[1, 2, 2, 3, 4, 5], 4], [[-2, 5, 4, 10, 3, 8, 3, 8], 3], [[2, 2, 2, 2], 0], [[-2, 5, 4, 10, 3, 8, 3, 8, 8], 3], [[-1, -2, -3, -3, 10, 10, -5], 5], [[1, 0, 1000, 0, 0], 4], [[-1, -2, -3, 8, -5], 2], [[1, 1, 3], 1], [[-2, 5, 4, 10, 3, 8], 3], [[1, 4, 4, 4], 2], [[5, 2, 0], 2], [[2, 3, 2, 2, 2, 2], 1], [[1, 2, -3, -2], 1], [[1, 4, 4, 1], 0], [[3, 4, 5], 3], [[2, 2, 2, 2], 2], [[2, 2, 2, 2], 1], [[1, 2, 2, 3, 5, 2], 3], [[-1000, -4, 1000], 1], [[1, 1], 2], [[-3, 1, -3], 0], [[-2, -3, -3, 10, -5, -5], 4], [[-3, 1, -3, 1], 0], [[0, 0, 0, 0, 0, 1], 5], [[1, 4], 0], [[0, 0, 0, 0, 0, 0, 0, 0], 5], [[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, -5, -5, -5, -5, -5], 10], [[100, -100, 100, -100, 100, -100, 100, -100, 100, -100], 5], [[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, -5, -5, -5, -5, -5], 4], [[10, -20, 30, -40, 50, -60], 3], [[4, 2, 5, 6, 7, 4, 8, 4], 3], [[1, 2, 3, -23, 243, -400, -400, 0], 2], [[1000, -1000], 2], [[0, 0, 0, 1, -1, 1000, -1000, 1000, -1000], 7], [[1, 2, 3, -23, 243, -400, -400, 0, 243, -400], 2], [[1, 2, 3, -23, 243, -399, -400, -400, 0], 2], [[10, -20, 30, -40, 50, -60], 4], [[1, 2, 3, -23, 243, -400, -400, 0, -400], 1], [[10, -20, 30, -40, 50, -60, -60], 4], [[5, 5, 5, 4, 5, 5, 5, 5, 5, 5, -5, -5, -5, -5, -5], 4], [[1, 2, 3, -23, 243, -400, -400, 4, 0, 243, -400], 2], [[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, -5, -5, -5, -5, -5], 11], [[1000, -1000, -1000], 2], [[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, -5, -5, -5, -5, -5], 3], [[3, 0, 0, 1, -1, 1000, -1000, 1000, -1000], 7], [[1, 2, 3, -23, 243, -400, -400, 0, 1], 2], [[2, 5, 6, 7, 4, 8, 4], 3], [[10, -20, 30, -40, 50, -60], 2], [[999, -1000], 2], [[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, -5, -5, -5, -5, -5, -5], 10], [[10, -20, 30, -40, 50, -60, -40], 3], [[11], 1], [[2, 3, -23, 243, -400, -400, 0, 1], 2], [[-1, 0], 0], [[11, 11], 1], [[1, 2, 3, -23, 243, -400, -400, 0], 3], [[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, -5, -5, -5, -5, -5, -5], 9], [[1, 2, 3, -23, 243, -400, -400, 0], 6], [[1, 2, 3, -23, 243, -400, 0, 243, -400, -23], 2], [[10, -20, 30, -40, 50, -59], 2], [[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, -5, -5, -5, -5, -5], 6], [[2, 3, -23, 243, -400, -400, 0, 1], 3], [[5, 5, 5, 4, 5, 5, 5, 5, 5, 5, -5, 7, -5, -5, -5, 5], 4], [[10, -20, 30, -60, -40, 50, -60, -60], 4], [[100, -100, 100, 30, -100, 100, -100, 100, -100], 5], [[1, 2, 3, -23, 243, -400, -400, 0, 1], 8], [[10, -20, 30, -40, 50, -60, 50], 2], [[999, -1000], 1], [[10, -20, 30, -40, 50, -59, 10], 2], [[10, 30, -40, 50, -60, -40], 3], [[10, -20, 30, -40, 50, -60, 50], 3], [[1, 2, 3, -23, 243, 3, -400, -400, 0, 243, -400], 2], [[7], 1], [[1, 2, 3, 243, 3, -400, -400, 0, 243, -400, -400], 2], [[5, 5, 5, 5, 2, 5, 5, 5, 5, 5, -5, -5, -5, -5, -5, -5], 4], [[10, -20, 30, -40, 50, -60, -20], 4], [[-401, 0, 0, 1, -1, 1000, -1000, 1000, -1000], 7], [[1, 2, 3, -23, 243, -400, -400, 0], 0], [[11, 11], 0], [[998, 999, -1000], 1], [[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, -5, -5, -5, -5, -5, -5, -5], 9], [[50, 1], 1], [[1, 2, 3, -23, 243, 100, -400, -400, 0, -400], 6], [[1, 2, 3, -23, 243, -400, -400, 0, -400], 0], [[1, -399, 2, 3, -23, 243, -400, -400, 0, 1, 3], 1], [[10, -20, 30, -40, 50, -60, -40], 2], [[5, 5, 5, 5, 5, 5, 5, 5, 5, -5, -5, -5, -5, -5], 4], [[2, 5, 6, 7, 4, 8, 4], 2], [[1, 2, 3, -23, 243, -400, -400, 0, 1], 7], [[10, -100, 30, -40, 50, -60, -40], 2], [[-401, 100, 0, 1, -1, 1000, -1000, 1000, -1000], 8], [[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, -5, -5, -5, -5, -5, 5], 3], [[10, -20, 30, 1000, -40, 50, -59, 10], 2], [[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, -5, -5, -5, -5, -5, 5], 4], [[1000, -1000, -1000, -1000], 2], [[1, 2, 3, -23, -5, -400, -400, 0, -400], 0], [[10, -20, 30, -40, 1, -60, -40, -40], 2], [[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, -5, -5, -5, -5, -5, 5, -5], 4], [[2, 3, -23, 243, -400, -400, 0, 1], 8], [[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 30, -5, -5, -5, -5, -5, 5], 4], [[2, 5, 6, 7, 4, 100, 8, 4], 3], [[5, 5, 5, 4, 5, 5, 5, 5, -1000, 5, 30, -5, -5, -5, -5, -5, 5], 4], [[2, -23, 243, -400, -400, 0, 1], 2], [[1, 2, 3, 243, -400, -400, 0, 243, -400], 2], [[1, 2, 3, -22, 243, -400, -400, 0], 7], [[1, 0], 1], [[10, -20, -40, 50, -60], 3], [[100, 2, 3, -23, 243, -400, 0, 243, -400, -23], 3], [[1000, -1000, -1000], 1], [[10, 30, -40, 50, -60, -1, -40], 3], [[1, 2, 3, -23, 243, -400, -400, 0, 243, -400], 3], [[10, -20, 30, -40, 50, 50], 1], [[-100, 30, -40, 50, -60, -40], 2], [[10, -20, 30, -40, 1, -59, -40, -40], 2], [[8, 1, 2, 3, -23, 243, 8, -400, 0, -400], 1], [[1, 2, 3, -23, 243, -22, -400, -400, 0, -400], 6], [[-401, -1000, -1000], 1], [[-100, 30, -40, 50, -60, -40], 1], [[-40, 30, -40, 1, -60, -40, -40], 2], [[11], 0], [[1, 2, 3, 243, 3, -400, -400, 0, 243, -400, -400], 7], [[10, -20, -40, 50, -59, 10], 2], [[10, -20, 6, 30, -40, 50, -60], 3], [[10, -20, 30, 1000, -40, 50, -59, 10], 1], [[10, -20, 30, -40, 50, -59], 3], [[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, -5, -5, -5, -5, -5, 5], 8], [[999, -20, -1000], 2], [[1, 2, -20, 4, 243, -400, -400, 0, 243, -400], 2], [[10, -20, 30, -40, 30, 50, -60], 3], [[1, 2, 3, -22, 243, -400, -400, 0, 1], 6], [[10, -20, 30, -40, -59, 10], 2], [[100, -100, 100, 30, -100, 100, -100, 100, -100, 30], 5], [[1, 2, 3, -23, 243, -400, -400, 243, -400, 243], 3], [[10, -20, 6, 30, -40, 50, -60, -40], 3], [[5, 5, 5, 4, 5, 5, 5, 5, 5, 5, -5, 7, -5, -5, -5, 5], 9], [[1, 2, 3, 243, -400, -400, 0, 243, 7], 1], [[9, 0], 0], [[2, 3, -23, 243, -400, -400, 0, 1], 7], [[10, -20, 30, -40, 50, -60, 50], 4], [[10, -20, 30, -40, 50, -60, -40, -40], 3], [[5, 5, 5, 5, -22, 5, 5, 5, 5, -5, -5, -5, -5, -5, -5, -5], 9], [[3, 0, 0, 1, -1, 1000, -1000, 1000, -1000], 6], [[-1000, -1000], 1], [[1, 2, 3, 244, 3, -400, -400, 0, 243, -400, -400], 7], [[10, -20, 30, -40, 10], 2], [[-20, 30, -40, 50, -60, -20], 4], [[-1000, 10], 1], [[9, 2, 5, 6, 6, 4, 8, 4], 1], [[1, 2, 3, -23, 243, -400, -400, 0, 243], 0], [[2, 5, 7, 4, 8, 4], 3], [[1, 2, 3, 243, -400, -400, 0, -400], 0], [[10, -20, 50, 6, 30, -40, 50, -60, -40], 3], [[1, 2, 3, 243, -400, -400, 0, 243, 7, -400], 1], [[5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, -5, -5, -5, -5, -5, 5], 4], [[5, 5, 5, 5, 5, 2, 5, 5, 5, 5, 5, -5, -5, -5, -5, -5, -5], 4], [[1, 2, 3, -23, 243, -400, -400, 0, 243], 9], [[10, -20, 30, -40, 50, 10], 2], [[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, -5, -5, -5, 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5, 5, 5, 5, 5, 5, 5, 5, 5], [100, 100, 100, 100, 100], [5, 5, 5, 5], [10, 30, 50], [6, 7, 8], [3, 243], [-1000, 1000], [-1, 0, 0, 0, 1, 1000, 1000], [243, 243], [3, 243], [-20, 10, 30, 50], [243], [-20, 10, 30, 50], [5, 5, 5, 5], [243, 243], [-5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [-1000, 1000], [5, 5, 5], [-1, 0, 0, 1, 3, 1000, 1000], [3, 243], [6, 7, 8], [30, 50], [-1000, 999], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [10, 30, 50], [11], [3, 243], [], [11], [2, 3, 243], [5, 5, 5, 5, 5, 5, 5, 5, 5], [-23, 0, 1, 2, 3, 243], [243, 243], [30, 50], [5, 5, 5, 5, 5, 5], [2, 3, 243], [5, 5, 5, 7], [-20, 10, 30, 50], [30, 100, 100, 100, 100], [-400, -23, 0, 1, 1, 2, 3, 243], [50, 50], [999], [30, 50], [10, 30, 50], [30, 50, 50], [243, 243], [7], [243, 243], [5, 5, 5, 5], [-20, 10, 30, 50], [-401, -1, 0, 0, 1, 1000, 1000], [], [], [999], [5, 5, 5, 5, 5, 5, 5, 5, 5], [50], [0, 1, 2, 3, 100, 243], [], [243], [30, 50], [5, 5, 5, 5], [7, 8], [-23, 0, 1, 1, 2, 3, 243], [30, 50], [-1000, -401, -1, 0, 1, 100, 1000, 1000], [5, 5, 5], [50, 1000], [5, 5, 5, 5], [-1000, 1000], [], [10, 30], [5, 5, 5, 5], [-400, -400, -23, 0, 1, 2, 3, 243], [5, 5, 5, 30], [7, 8, 100], [5, 5, 5, 30], [2, 243], [243, 243], [-400, -22, 0, 1, 2, 3, 243], [1], [-20, 10, 50], [100, 243, 243], [1000], [10, 30, 50], [3, 243, 243], [50], [30, 50], [10, 30], [243], [-22, 0, 1, 2, 3, 243], [-401], [50], [1, 30], [], [0, 1, 2, 3, 3, 243, 243], [10, 50], [10, 30, 50], [1000], [10, 30, 50], [5, 5, 5, 5, 5, 5, 5, 5], [-20, 999], [243, 243], [30, 30, 50], [0, 1, 1, 2, 3, 243], [10, 30], [30, 100, 100, 100, 100], [243, 243, 243], [10, 30, 50], [5, 5, 5, 5, 5, 5, 5, 5, 7], [243], [], [-400, -23, 0, 1, 2, 3, 243], [10, 30, 50, 50], [10, 30, 50], [-5, 5, 5, 5, 5, 5, 5, 5, 5], [0, 0, 1, 3, 1000, 1000], [-1000], [0, 1, 2, 3, 3, 243, 244], [10, 30], [-20, -20, 30, 50], [10], [9], [], [5, 7, 8], [], [30, 50, 50], [243], [5, 5, 5, 6], [5, 5, 5, 5], [-400, -400, -23, 0, 1, 2, 3, 243, 243], [30, 50], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5], [100, 243, 243], [30, 100, 100, 100, 100], [10, 30, 50], [10, 30], [-400, 0, 1, 2, 3, 243, 1000], [243, 243], [5, 5, 5, 30], [5, 6, 8], [3, 243], [-20, 999], [-20, 10, 30, 50], [1], [3, 30, 243, 243], [100, 243, 243], [5, 7, 8], [0, 0, 1, 2, 3, 243], [50, 1000], [30, 49, 50, 50], [-19, 999], [-400, -23, 0, 1, 1, 2, 3, 243], [243], [5, 5, 5, 5, 5, 5, 5, 5, 5], [-400, -400, -22, 0, 2, 3, 243], [5, 6, 7, 8], [], [1000], [], [-61, -23, 0, 1, 1, 2, 3, 243], [-20, 30, 50, 50], [5, 5, 5], [10, 30, 50], [-1, -1, 0, 0, 1, 3, 1000, 1000], [5, 5, 5, 5, 5, 5, 5, 5], [242, 243], [10, 30, 50], [10, 30, 50], [8, 29], [999], [-22, 0, 1, 2, 3, 243], [30, 50], [0], [243], [31, 100, 100, 100, 100], [49, 243], [-5, 10, 50], [30, 50], [30, 50, 50], [-40, 30, 50], [], [3, 5, 100, 243, 243], [243, 243], [10, 50, 100], [999], [5, 5, 998], [999], [2, 3, 30, 243, 243], [30, 30, 50], [1, 2, 3, 3, 3, 243, 244], [7, 8], [243], [9, 10, 30, 50], [999], [999], [0, 1, 2, 2, 3, 243, 1000], [1000], [-400, -22, 0, 2, 3, 243], [50], [-1000, -1, 0, 0, 1, 1000, 1000], [1, 2, 3, 3, 50, 243, 244], [50, 50], [-20, 10, 30, 50, 50], [100, 100, 100, 100, 100], [999], [1, 30], [-60, -40, -40, -40, -40, 1, 30], [100, 100, 100, 100, 100], [3, 243], [-40, 10, 30, 50], [-401, -1, 0, 1, 30, 1000, 1000], [243], [], [30, 30, 50], [30, 30, 50], [], [-1000, -401, -1, 0, 0, 1, 1000, 1000], [-401, -1, 0, 1, 100, 1000, 1000], [50], [0, 0, 1, 3, 1000, 1000], [-1, 0, 1, 10, 30, 1000, 1000], [-100, 99, 100, 100, 100, 100, 100], [243, 243], [6, 100, 243], [-22, 0, 1, 2, 3, 243], [5, 5, 5, 5, 998], [-1, 0, 0, 0, 1, 1000, 1000], [-5, 10, 50], [243], [50, 1000], [0], [5, 5, 5, 5, 7], [31, 100, 100, 100, 100], [50, 243], [5, 5, 6, 6], [-1000, -1, 0, 1, 244, 1000, 1000], [1000], [10, 30, 50], [], [5, 5, 5, 99], [-20, 9, 30], [6, 7, 8], [6, 7, 8, 100], [50, 50, 242], [-100, -100, 99, 100, 100, 100, 100, 100], [], [0, 0, 0, 1, 1, 1000, 1000], [0, 1, 1, 100, 1000, 1000], [6, 7, 8], [0, 1, 2, 2, 3, 243, 1000], [243, 243], [5, 5, 5, 5], [-20, 10, 29, 30], [100, 100, 100, 100], [243, 243, 243], [50], [5, 6, 7, 8], [999], [-400, -400, -23, 0, 2, 3, 243], [243, 1000], [5, 5, 5], [30, 50], [30, 50, 1000], [], [1000, 1000], [243], [30, 51], [30, 30], [5, 5, 5, 6], [999], [5, 6, 7, 8], [999], [30, 50, 50, 50], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 3, 5, 100, 243, 243], [-400, -61, -23, 0, 1, 2, 3, 243], [100, 100, 100, 100, 100], [-20], [-40, -40, 10, 30, 50], [243, 243], [5, 5, 5, 30], [-401, -1, 0, 1, 101, 1000, 1000], [3, 3, 242, 243], [2, 3, 3, 50, 243, 244], [-400, -400, -23, 0, 2, 3, 243], [9, 243, 243, 243], [30, 30], [10], [5, 5, 5, 5, 5], [5, 5, 998], [243], [50, 243], [30, 50], [243], [243, 1000], [30, 50], [2, 3, 243], [5, 5, 5, 5], [50, 1000], [243], [5, 5, 5], [6, 7, 8], [9, 10, 30, 50], [3, 3, 50, 243, 244], [30, 50], [50, 50, 242], [5, 5, 5, 99], [999, 999], [-40, -40, -5, 10, 50], [30, 243, 243, 999], [0, 1, 3, 1000, 1000], [50, 50, 242], [-1, 0, 0, 0, 1, 1000, 1000], [-40, -5, 50], [5, 5, 5, 5, 5], [-100, -100, 100, 100, 100, 100, 100], [10, 30, 50], [999], [50], [-999, 1000], [-19, 10, 30, 50], [-23, 1, 2, 3, 8, 243, 1000], [30, 50], [5, 5], [-22, 1, 1, 2, 3, 243], [5, 5, 998], [243, 1000], [0, 1, 2, 3, 99, 243], [-40, -20, 10, 30, 50], [5, 5, 5, 5, 6], [5, 5, 5, 6], [50], [0, 1, 2, 3, 3, 243], [-1000, -401, -1, 0, 1, 101, 1000], [5, 5, 5, 5], [50, 50, 242], [999], [49, 50, 1000], [999], [5, 5, 5, 5, 5, 5, 5, 5], [6, 7, 8], [5, 5, 998], [5, 5, 5, 5], [30, 50, 50], [-40, 10, 30, 50], [30, 100, 100, 100, 100], [5, 5, 6], [30, 30, 50], [1000, 1000], [243, 243], [243, 243], [-5, 0], [], [243], [6, 7, 8], [30, 30], [-400, -400, 0, 1, 2, 3, 243, 1000], [100, 243, 243], [10, 30, 51], [5, 5, 5, 5, 5, 5, 5], [999], [7, 7, 8], [-59, -40, -40, -5, 10, 50], [243], [], [10, 30, 50, 50], [-19, -4, 10, 30], [30, 50], [10, 50], [5, 5, 5, 5, 5, 5, 5, 5, 5], [10], [999], [7, 8, 8], [2, 3, 243, 243], [], [30, 50, 244], [1, 2, 3, 243, 243], [5, 5, 5, 5], [10, 10, 29, 30], [-1000, -1, 0, 0, 3, 1000, 1000], [5, 5, 5, 100, 243], [], [999], [-20, 10, 30, 50], [100, 243, 243], [-1, 0, 0, 3, 1000, 1000, 1000], [5, 5, 5], [5, 5, 5, 5], [-4, 0, 2, 3, 3, 243, 1000], [-20, 30, 50], [7, 8], [4], [30, 51], [4, 7, 8], [5, 5, 5, 5, 5, 5, 5, 5], [243, 243], [5, 5, 5, 5, 5, 5], [-60, -40, -40, 10, 30, 50], [-400, -23, 0, 1, 3, 3, 243], [243, 243], [243, 243], [5, 5, 5, 5, 5, 5, 5, 100, 243], [50], [7, 8, 100], [30, 50], [5, 5, 5, 5, 5, 5], [1, 2, 3, 243], [0, 0, 1, 1, 3, 1000, 1000], [-1, 5, 5, 5, 5, 5, 5, 5], [2, 3, 243], [7, 8, 100], [10, 10, 30, 100], [], [-5, 10, 50], [0, 1, 1, 100, 1000, 1000], [30, 50, 244], [5, 5, 5, 5, 5, 5, 5, 5], [10, 30, 50], [6, 10, 30, 50], [243, 243], [30, 49, 50, 50], [5, 5, 5, 5], [50], [1000, 1000], [-40, 5, 10, 30, 50], [1000], [30, 50], [10, 30], [243, 243], [1, 10, 30], [-400, -22, 1, 1, 2, 3, 243], [999], [5, 5, 5, 5, 5, 7], [243, 243], [-40, -5, 10, 50], [3, 8, 243, 1000], [3, 243, 243], [5, 5, 5, 5], [-400, -400, -23, 0, 1, 2, 3], [-1, 5, 5, 5, 5, 5, 5, 5], [10, 30, 30, 50], [30], [30, 50, 50], [1, 2, 3, 243], [243, 243], [], [243, 243, 243], [50, 1000], [29, 50], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [1000, 1000], [5, 5, 5, 5, 30], [], [243], [30, 50, 244], [30, 50, 51], [0, 1, 2, 2, 3, 243, 1000], [-23, 1, 2, 3, 8, 243, 1000], [100, 243, 243], [1, 3, 1000, 1000], [5, 5, 5, 5], [30, 50, 51], [30, 50], [3, 243], [10, 30, 50], [30, 50, 50], [-5, -5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [-22, 0, 1, 2, 3, 99, 243], [243], [], [9, 30], [-99], [1000], [5, 5, 5, 5], [-20, 10, 30, 50], [999], [3, 243, 243], [-5, 50, 51], [999], [243], [10, 10, 30, 51], [1000, 1000], [5, 5, 5, 5, 5, 7], [], [50, 1000], [50, 51], [6, 100, 243], [-23, 0, 1, 3, 243], [6, 8, 10], [30, 50, 51], [50, 1000], [244, 1000], [2, 3, 243], [100, 243, 243], [-1, 0, 1, 3, 1000, 1000], [-19, 999], [-20, 10, 30, 50, 50], [5, 5, 5, 5, 5], [4, 7, 100], [], [-1000, -1, 0, 0, 3, 1000, 1000, 1000], [30, 50], [-10, -5], [30], [7, 10], [], [], [5, 5], [-2, -1], [999, 1000], [-5], [1000], [6, 8, 243], [100, 100, 100, 100, 100], [-1, 80], [], [-100, 100, 100, 100, 100, 100], [999, 1000], [5, 6, 7], [6, 7, 8], [-20, 10, 30, 50], [80, 243], [6, 8, 243], [-40, 10, 30], [6, 8, 243], [-5, 100, 100, 100, 100], [80, 100, 100, 100, 100, 100], [-5, 100, 100, 100, 100], [7, 8], [80, 80], [-5, 30, 100, 100, 100, 100], [999, 1000], [5, 5, 5, 5, 5, 5, 5, 5, 6], [5, 5, 5, 5, 5, 5, 5, 5, 6], [10, 30, 50], [30, 49, 50], [5, 6, 8, 243], [-1000, -1, 0, 0, 0, 1, 1000, 1000], [80, 80], [9, 10, 30, 49], [-5, 100, 100, 100, 100], [6, 80], [10, 10, 30, 50], [100, 100, 100, 100, 100], [10, 80], [80, 100, 100, 100, 100, 100], [7, 8], [6, 7, 8], [100, 100, 100, 100, 999], [80, 80], [0, 80, 100, 100, 100, 100, 100], [7, 8, 9], [80, 81], [-1, 80], [80, 80], [1, 30, 100, 100, 100, 101], [100, 100, 100, 100], [80, 80], [1000], [7, 8], [30, 49, 50], [-1000, -1000, -1, 0, 0, 1, 1000, 1000], [6, 7, 8], [-999, 999, 1000], [5, 5], [5, 6, 7], [30, 49, 50], [7, 8], [7, 8], [-1000, -1, -1, 0, 1, 4, 1000, 1000], [10, 80], [-1], [5, 5, 5], [30, 50, 1000], [81], [0, 0, 0, 0, 1, 1000, 1000], [-1, -1, 0, 1, 4, 5, 1000, 1000], [6, 8, 243], [100, 100, 100, 100], [11, 30, 49, 50], [7, 8], [-1, -1, 80], [10, 80], [-100, -5, 100, 100, 100, 100], [-20, 10, 30, 30, 49], [-100, 100, 100, 100, 100], [-1, -1, -1, 80], [5, 8], [5, 6, 8, 242], [6, 7, 8], [100, 100, 100, 100], [7, 8], [-5, 100, 100, 100, 101], [5, 6, 7], [], [10, 80], [30, 50, 50, 51], [80, 101], [5, 5], [6, 7], [-1, -1, 80], [-1, 79, 80], [-1], [5, 6, 7, 8], [10, 10, 30, 50], [-5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [6, 8, 243], [-5, -5, 100, 100, 100, 101], [-5, 100, 100, 100, 101], [80, 81], [1000], [10, 10, 80], [100, 100, 100, 100], [10, 10, 30, 50], [100, 100, 100, 100, 100], [-5, 30, 100, 100, 100, 100], [10, 10, 79], [49, 50, 999], [-100, 100, 100, 100, 100], [5, 5, 5, 5, 5, 5, 5, 6, 999], [100, 100, 100, 100], [80, 100, 100, 100, 100, 100], [1], [99, 100, 100, 100, 999], [100, 100, 100, 100, 242], [5, 5, 5], [80, 101], [0, 80, 100, 100, 100, 100], [80, 80, 243], [49, 50, 999], [5, 5, 5, 5, 5, 5, 5, 6, 8], [5, 5, 5, 5, 5, 5, 5, 6, 999], [-5, 100, 100, 100, 100, 100], [8], [-1, 80], [8, 8], [6, 7], [], [81], [80, 81], [7, 8], [81], [80], [30, 49, 50], [5, 6, 7], [100, 100, 100, 100], [5, 5, 5, 6], [80, 81], [80, 81], [-100, -5, 100, 100, 100, 100, 100], [1], [81], [7, 8], [5, 5, 5, 5, 5, 5, 5, 6, 50], [-5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [-5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [81], [49, 50, 999], [5, 5, 5, 5, 5, 5, 5, 5, 6], [-5, 30, 100, 100, 100, 100], [0], [10, 30, 49], [100, 100, 100], [10], [8, 243], [5, 5, 5], [101], [-1, 0, 0, 0, 0, 1, 1000, 1000], [5, 6, 8, 243], [8, 81], [80, 101], [5, 6, 7], [6, 7, 8], [10, 10, 80], [4, 4, 4, 4, 4, 5, 6, 7, 8], [5, 6, 7, 8], [7, 8], [5, 5, 5, 5, 5, 5, 5, 6, 8], [81], [30, 49, 50], [10, 80], [8, 243, 244], [6, 7, 51], [10, 30, 30, 30, 49], [0, 80, 100, 100, 100, 100], [100, 100, 100, 100, 100], [-5], [100, 100, 100, 999], [6, 7, 8], [-1, 6, 79, 80, 80, 81], [], [80, 100, 100, 100, 100, 100], [-100, -99, -99, 0, 80, 100, 100, 100, 100, 100], [100, 100, 100, 100, 100], [5, 5, 5, 5, 5, 5, 5, 6, 999], [100, 100, 100, 100, 999], [10, 30, 30, 30, 49], [81], [], [10], [4, 5, 6, 7, 8, 8], [-100, 80, 100, 100, 100, 100, 100], [100, 100, 100, 100, 999], [3, 243], [6, 8, 8, 242], [5, 6, 8], [100, 100, 100, 101, 999], [81], [6, 8, 30], [243, 243], [100, 100, 100, 100, 100], [7, 51, 101], [80, 82], [30, 100, 100, 100, 100], [7, 8], [-100, 80, 100, 100, 100, 100, 100], [7, 8], [100, 100, 100, 999], [5, 5, 5], [100, 100, 100, 100, 100, 999], [49, 50, 999], [5, 80, 100, 100, 100, 100], [], [5, 8], [-1, 0, 0, 0, 1, 1, 1000, 1000], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [6, 7], [2, 4, 4, 4, 4, 5, 6, 7, 8], [4, 4, 4, 4, 4, 5, 6, 7, 8], [80], [30, 49, 50], [], [100, 100, 100, 100, 100], [10], [6, 8, 9], [-1, 79, 80], [30, 30, 49], [-5, 100, 100, 100, 100], [30, 51, 100, 100, 100, 100], [7, 8], [10, 10, 79], [10, 51], [80, 80, 81], [80, 82], [], [], [80, 81], [8, 243], [100, 100, 100, 100], [6, 7, 8], [100, 100, 100, 999], [-1, 80, 81], [100, 100, 100, 100, 100, 100], [2, 4, 4, 4, 4, 5, 5, 5, 6, 7, 8], [80, 243], [100, 100, 101, 999, 999], [5, 6, 8, 243], [30, 49, 50], [100, 100, 100], [7, 8, 29], [100, 100, 100, 100], [30, 30, 50, 51], [5, 5, 5, 5, 5, 5, 6, 999], [5, 5, 5], [-1, -1], [100, 101, 101, 101], [0], [80, 81], [5, 5, 6, 7, 8], [100, 100, 999, 999], [5, 6, 7, 8], [-1, 6, 8, 10, 10, 80], [-1, -1, -1], [-5, 30, 100, 100, 100, 100], [4, 5, 6, 7, 51], [99, 100, 100, 100, 999], [2, 3, 243], [-20, 30, 30, 50], [5, 5, 5, 101], [-1000, -1, 0, 0, 0, 0, 1000, 1000], [80, 243], [4, 4, 4, 4, 4, 5, 6, 7, 8], [5, 6, 8, 242], [100, 100, 100], [8, 29], [-1000, -1000, -1, -1, 0, 4, 1000, 1000], [80, 81], [11, 30, 50], [100, 100, 100], [50, 50, 51], [5, 5, 5, 5, 6], [81, 99], [5, 5, 5, 5, 5, 5, 5, 5, 5, 51], [5, 6, 7], [101], [80, 100, 100, 100, 100, 100], [80, 100, 100, 100, 100, 100], [-5, 99, 100, 100, 100], [-1000, -40], [5, 5, 5], [7, 8, 30], [4, 5, 6, 7], [-5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [], [7, 8], [5, 6, 8, 243], [3, 243], [4, 5, 6, 8, 242], [7, 10, 80], [100, 100, 100, 101], [6, 7], [], [100, 100], [80, 80, 81], [5, 6, 7], [100, 100, 100], [-5, -5, 100, 100, 100, 100], [100, 100], [1], [], [-5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [-5, -5, 100, 100, 100, 101], [5, 5, 5], [4, 4, 4, 4, 5, 5, 5, 6, 7, 8], [5, 5, 5, 5, 6], [0, 80, 100, 100, 100, 100], [4, 5, 5, 6, 7], [10], [81], [243, 243], [], [80, 80, 81], [0, 80, 100, 100, 100, 100, 100], [80], [5, 5, 5], [-5, -5, 5, 5, 5, 5, 5, 5, 5, 5], [80, 100, 100, 100, 100, 100], [-5, 30, 100, 100, 100, 100], [-1, -1, 0, 0, 1, 4, 1000, 1000], [100], [-2, 4, 4, 4, 5, 5, 6, 7, 8], [10], [8], [100, 100, 100, 999], [100, 100, 100, 999], [80, 81], [100, 100, 100, 100, 100], [7, 8, 243], [30, 30, 50], [9, 10, 30, 49], [6, 7], [-100, -100, 100, 100, 100, 100, 100], [], [-100, -100, 100, 100, 100, 100], [7, 8, 30], [10, 10, 30, 50], [7, 8], [-6, 100, 100, 100, 100, 100], [49], [8], [-1, -1], [5, 5, 5, 5, 5, 5, 5, 5, 5, 10], [8, 8], [1, 4, 1000, 1000], [80], [], [999, 1000], [5, 6, 7], [7, 8], [100, 100, 100, 100], [-20, 10, 30, 49, 50], [0, 0, 1, 1, 1000, 1000], [100, 100, 101, 999, 999], [], [100, 100, 100, 100], [50, 50, 999], [-60, -40, -20, 11, 30, 49, 50], [-5, -5, 5, 5, 5, 5, 5, 5, 5, 6], [100, 100, 100, 100], [5, 7, 8], [5, 6, 7, 51], [30, 50], [80, 81], [100, 100, 100, 999], [], [49, 50, 100], [-5, 99, 100, 100, 100, 101], [], [80], [0], [-1000, -1, 0, 0, 0, 1, 1, 1000, 1000], [100, 100, 100, 101, 999], [-1, 0, 0, 0, 0, 0, 83, 1000, 1000], [4, 5, 7, 8], [-1, 80], [3, 243], [-60, -1, 6, 8, 10, 10, 80]]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(maximum)
print('___SENTINEL___')
| cd267940c709662c9ae954baa61eab9e |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-4
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-04, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[[-3, -4, 5], 3], [[4, -4, 4], 2], [[-3, 2, 1, 2, -1, -2, 1], 1]]
results = [[-4, -3, 5], [4, 4], [2]]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(maximum)
print('___SENTINEL___')
| 49dd758109835ecad0e155ba1e47dd55 |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-6
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-07, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[[5, 8, 7, 1]], [[3, 3, 3, 3, 3]], [[30, 13, 24, 321]], [[5, 9]], [[2, 4, 8]], [[30, 13, 23, 32]], [[3, 13, 2, 9]], [[1, 2, 3, 4, 5, 6]], [[0, 1, 2, 3, 4, 5, 6, 7]], [[2, 5, 10, 11, 18]], [[1, 3, 5, 7]], [[2, 3, 5, 8, 13]], [[2, 4, 6, 8, 10]], [[1, 1, 1, 1, 1, 1]], [[7]], [[2, 1, 2, 1, 2, 1]], [[0, 0, 0, 0, 1]], [[2, 5, 10, 11, 11]], [[2, 4, 0, 6, 8, 1]], [[2, 10, 11, 18]], [[2, 1, 2, 1, 2, 2, 1]], [[2, 7, 1, 2, 1, 2, 1]], [[1, 2, 3, 4, 5]], [[2, 5, 10, 11, 2, 11, 11]], [[1, 1, 1, 3, 4, 5, 5, 7]], [[4, 10, 11, 18]], [[1, 2, 3, 13, 5, 6]], [[2, 1, 2, 1, 2, 2, 1, 2]], [[2, 3, 4, 5]], [[13, 5, 10, 11, 2, 11, 11]], [[2, 5, 11, 2, 11, 11]], [[2, 1, 2, 6, 2, 1]], [[0, 1, 3, 5, 7, 5]], [[2, 7, 1, 2, 3, 1, 2, 1, 2]], [[1, 3, 2, 7]], [[2, 7, 1, 2, 3, 1, 2, 1, 2, 2]], [[2, 1, 2, 2, 1, 2]], [[2, 4, 8, 10]], [[0, 1, 2, 3, 5, 6, 7, 2]], [[1, 2, 1, 2, 1, 2, 2, 1, 2]], [[2, 5, 10, 11, 2, 11]], [[2, 3, 5, 13, 5]], [[6, 10, 11, 18]], [[0, 0, 10, 0, 1]], [[2, 7, 4, 8, 10]], [[7, 2, 10, 11, 10, 18]], [[2, 3, 5, 8, 12]], [[1, 1, 1, 1]], [[2, 7, 1, 2, 3, 1, 11, 13, 2, 1, 2, 2]], [[2, 3, 5, 13, 13]], [[2, 1, 2, 1, 2, 1, 1]], [[0, 1, 2, 3, 4, 5, 6, 7, 6]], [[4, 10, 11, 18, 18]], [[12, 13]], [[2, 5, 10, 11, 11, 2, 11]], [[2, 3, 5, 8, 13, 13]], [[2, 5, 6, 11, 2, 11, 11, 2]], [[2, 1, 3, 1, 2]], [[7, 1, 2, 3, 1, 2, 1, 2]], [[2, 5, 10, 11, 11, 2, 11, 2]], [[0, 3, 5, 7, 5, 7]], [[2, 1, 2, 6, 2, 1, 1, 1]], [[1, 2, 4, 5, 6]], [[1, 3, 13, 14, 5, 6]], [[10, 2, 3, 13, 5, 6, 2]], [[10, 2, 14, 3, 13, 5, 6]], [[0, 5, 2, 7, 5, 7, 2]], [[2, 5, 10, 11, 11, 2, 11, 2, 11]], [[3, 2, 7]], [[2, 5, 10, 11, 2, 11, 11, 2]], [[0, 1, 0, 0, 0, 1]], [[1, 3, 3, 13, 14, 5, 18]], [[0, 1, 3, 7, 5]], [[2, 4, 5, 13, 5, 5]], [[1, 1, 1, 10, 3, 4, 5, 5, 7]], [[4, 10, 11, 18, 10]], [[0, 3, 5, 7, 5]], [[2, 8, 10, 10]], [[0, 1, 2, 3, 11, 4, 5, 6, 7]], [[2, 2, 5, 10, 11, 11]], [[1, 1, 1, 10, 3, 4, 5, 5, 7, 4]], [[2, 4, 7, 8, 10]], [[2, 1, 2, 0, 1, 2, 12, 1]], [[1, 2, 1, 2, 2, 1, 2]], [[1, 2, 10, 2, 2]], [[2, 7, 4, 8, 10, 10]], [[5, 3, 4, 5]], [[0, 1, 3, 2, 7]], [[5, 3, 5, 4, 5]], [[2, 6, 1, 2, 6, 2, 1, 1, 1, 1]], [[1, 2, 3, 4, 5, 6, 7, 6]], [[6, 12, 13]], [[1, 4, 7, 8, 10]], [[2, 5, 10, 11, 11, 11]], [[5, 11, 10, 11, 2, 11]], [[2, 5, 10, 12, 11, 11, 11, 11]], [[0, 10, 0, 1, 0]], [[13, 5, 10, 11, 2, 11, 11, 10]], [[1, 2, 3, 4, 5, 6, 5]], [[0, 10, 0, 1, 0, 1]], [[1, 3, 2, 1, 2, 2, 1, 2]], [[1, 2, 4, 5, 6, 1, 6]], [[2, 5, 10, 11, 2, 11, 11, 10, 5, 5]], [[2, 1, 3, 2]], [[2, 5, 10, 11, 11, 2]], [[0, 0, 0, 13]], [[2, 3, 4, 5, 6, 7, 8, 9, 10]], [[1, 4, 1, 4, 1, 4, 1, 4]], [[2, 2, 2, 1, 1, 1, 5, 5, 5]], [[0, 0, 0, 0, 0, 0, 0, 0]], [[11, 22, 33, 44, 55, 66, 77, 88, 99]], [[1, 1, 1, 1, 1, 1, 1, 1, 1]], [[0, 1, 2, 3, 4, 5, 6, 7, 8]], [[2, 3, 4, 5, 6, 9, 8, 11, 10]], [[31, 42, 53, 64, 75, 86, 97, 108, 119]], [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]], [[65, 11, 22, 33, 44, 55, 66, 77, 88, 99]], [[0, 2, 3, 4, 5, 6, 7, 8, 9, 10]], [[2, 5, 2, 2, 1, 1, 1, 5, 5, 5, 1]], [[65, 22, 33, 44, 55, 66, 77, 88]], [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1]], [[2, 2, 1, 1, 1, 5, 5, 5]], [[2, 3, 4, 6, 9, 8, 11, 10]], [[2, 2, 1, 1, 1, 5, 5, 5, 5]], [[0, 1, 2, 3, 4, 5, 6, 7, 9, 2]], [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 2]], [[2, 3, 4, 5, 6, 7, 8, 9, 31, 10]], [[11, 22, 33, 44, 55, 66, 88, 99]], [[2, 1, 1, 1, 5, 5, 5]], [[2, 2, 2, 1, 1, 1, 5, 5]], [[2, 3, 4, 9, 8, 11, 10]], [[2, 3, 4, 4, 6, 9, 8, 11, 10]], [[2, 3, 4, 5, 6, 8, 9, 31, 10]], [[65, 22, 44, 55, 66, 77]], [[1, 4, 1, 1, 4, 1, 4]], [[65, 11, 22, 33, 44, 55, 66, 77, 88, 77, 99]], [[2, 11, 3, 4, 5, 88, 6, 9, 8, 11, 10, 8]], [[2, 3, 4, 4, 6, 9, 8, 11, 10, 8]], [[12, 22, 33, 44, 55, 66, 77, 88, 99]], [[2, 3, 4, 9, 8, 11]], [[2, 11, 3, 4, 4, 6, 9, 8, 11, 10, 8]], [[0, 0, 0, 0, 0, 0, 0, 0, 0]], [[3, 3, 4, 4, 6, 9, 8, 11, 10, 8]], [[1, 2, 2, 1, 1, 1, 5, 5]], [[86, 2, 3, 4, 5, 6, 7, 8, 9, 10]], [[65, 22, 33, 55, 66, 77, 88]], [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]], [[1, 11, 1, 1, 4, 1, 4, 1]], [[3, 3, 4, 4, 6, 9, 12, 8, 11, 10, 8]], [[11, 22, 33, 44, 65, 55, 66, 88, 99, 22]], [[3, 1, 1, 1, 5, 5, 5]], [[2, 5, 2, 2, 1, 1, 1, 5, 5, 5, 1, 1, 5]], [[75, 1, 2, 3, 4, 5, 6, 7, 9, 2]], [[1, 55, 2, 2, 1, 1, 1, 5, 5, 1]], [[2, 2, 2, 44, 1, 1, 5, 5, 5]], [[99, 1, 4, 1, 4, 1, 4, 1, 4]], [[0, 0, 0, 0, 0, 0, 0]], [[86, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10]], [[11, 12, 22, 33, 44, 55, 66, 77, 88, 99]], [[3, 3, 4, 4, 6, 9, 12, 8, 11, 33, 8]], [[75, 1, 2, 3, 4, 5, 6, 7, 9, 2, 4]], [[86, 2, 3, 4, 4, 6, 7, 8, 9, 10]], [[75, 1, 2, 4, 4, 5, 6, 7, 9, 2, 4]], [[12, 22, 33, 44, 55, 44, 77, 88, 99, 77]], [[2, 11, 3, 4, 5, 88, 6, 9, 8, 55, 11, 10, 8, 8]], [[11, 22, 33, 56, 44, 65, 55, 66, 88, 99, 22, 22]], [[1, 1, 1, 1, 1, 1, 1, 1]], [[1, 2, 2, 6, 1, 77, 1, 1, 5, 1, 5]], [[3, 3, 4, 4, 6, 9, 12, 8, 11, 10, 8, 9]], [[1, 1, 1, 1, 1, 1, 1, 1, 97, 1, 1, 1]], [[3, 4, 4, 6, 9, 12, 8, 11, 33, 8]], [[3, 3, 4, 4, 6, 9, 12, 8, 11, 10, 9, 8, 10]], [[1, 1, 1, 1, 1, 1, 1, 5, 1, 1]], [[11, 12, 22, 33, 44, 55, 66, 77, 0, 88, 99]], [[86, 2, 3, 4, 5, 6, 7, 8, 53, 9, 10]], [[2, 3, 4, 5, 6, 9, 9, 31, 10, 2]], [[33, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1]], [[0, 1, 1, 1, 1, 1, 1, 97, 1, 1, 1]], [[2, 1, 4, 1, 4, 5, 1, 5]], [[2, 11, 3, 3, 4, 6, 9, 8, 11, 10, 8]], [[3, 3, 4, 4, 6, 9, 7, 11, 10, 44]], [[3, 4, 6, 9, 8, 11, 10]], [[2, 5, 2, 2, 1, 1, 1, 5, 5, 5, 1, 1, 5, 5]], [[2, 2, 2, 1, 1, 55, 5]], [[0, 1, 2, 3, 5, 6, 7, 8, 9, 10]], [[2, 3, 4, 9, 9, 11, 2, 10]], [[11, 22, 33, 44, 65, 55, 66, 88, 99, 22, 22]], [[11, 22, 33, 55, 66, 88, 99]], [[3, 3, 4, 6, 9, 12, 8, 11, 10, 9, 8, 10]], [[1, 11, 1, 1, 4, 1, 4, 1, 1]], [[11, 12, 22, 33, 44, 55, 66, 77, 88, 99, 55]], [[75, 1, 2, 3, 4, 5, 6, 7, 9, 2, 4, 1]], [[1, 1, 1, 1, 1, 1, 1, 1, 97, 1, 1, 1, 1]], [[0, 1, 2, 3, 3, 4, 5, 6, 7, 9, 2]], [[75, 1, 2, 3, 4, 6, 7, 9, 2, 4]], [[76, 1, 2, 4, 4, 5, 6, 7, 9, 2, 4]], [[2, 3, 4, 6, 8, 9, 31]], [[1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]], [[1, 1, 1, 2, 1, 1, 1, 1, 97, 1, 1, 1]], [[2, 5, 6, 2, 2, 1, 1, 1, 5, 5, 5, 1, 1, 5]], [[3, 3, 3, 4, 4, 6, 9, 12, 8, 11, 10, 8, 9, 11]], [[1, 55, 2, 2, 1, 1, 1, 5, 5, 33, 1]], [[75, 1, 2, 4, 5, 6, 7, 9, 2, 4]], [[2, 3, 4, 4, 6, 9, 8, 11, 10, 8, 4, 6]], [[1, 1, 1, 2, 1, 1, 1, 1, 1, 97, 1, 1, 1]], [[86, 2, 2, 4, 4, 5, 6, 7, 8, 9, 10]], [[2, 2, 1, 1, 1, 0, 5, 5, 5]], [[2, 11, 3, 4, 5, 88, 9, 8, 11, 10]], [[1, 1, 1, 1, 1, 1, 1, 1, 97, 1, 1, 0, 1, 1]], [[11, 22, 33, 44, 6, 65, 55, 66, 88, 99, 22, 22]], [[11, 22, 33, 6, 65, 55, 66, 88, 99, 22, 22, 65]], [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 4, 9]], [[56, 11, 3, 4, 5, 88, 9, 8, 55, 11, 10, 8, 8]], [[0, 53, 2, 3, 5, 6, 7, 8, 9, 10]], [[3, 3, 3, 4, 4, 6, 9, 3, 12, 8, 11, 10, 8, 9, 11]], [[31, 42, 53, 64, 5, 76, 86, 97, 108, 119]], [[3, 3, 4, 4, 6, 9, 12, 8, 11, 10, 10, 8, 10, 12]], [[2, 11, 0, 4, 4, 6, 9, 8, 11, 10, 8]], [[11, 22, 33, 44, 55, 66, 88, 99, 22]], [[3, 3, 3, 4, 4, 6, 9, 12, 8, 12, 10, 8, 9, 11]], [[1, 1, 1, 1, 1, 1, 1, 5, 1, 8, 1, 1, 1]], [[1, 55, 2, 2, 1, 1, 1, 5, 5, 1, 1]], [[2, 11, 3, 4, 5, 88, 5, 9, 8, 55, 11, 8, 8]], [[2, 2, 2, 1, 1, 1, 5, 5, 5, 1]], [[2, 3, 4, 4, 6, 9, 44, 11, 10]], [[0, 1, 2, 3, 5, 6, 7, 8, 9, 10, 4, 9]], [[12, 22, 33, 44, 55, 44, 77, 88, 99, 77, 77]], [[75, 119, 2, 3, 64, 6, 7, 9, 2, 4]], [[0, 1, 2, 3, 0, 4, 5, 6, 7, 8, 0]], [[99, 1, 4, 1, 1, 4, 1, 4]], [[3, 3, 4, 4, 4, 12, 8, 33, 8]], [[2, 3, 4, 4, 6, 9, 11, 10, 8, 4, 6]], [[2, 1, 1, 1, 4, 5, 5, 5, 5]], [[2, 11, 3, 3, 88, 6, 9, 8, 11, 10, 8, 3]], [[2, 2, 2, 1, 1, 5, 5, 1, 5]], [[2, 3, 4, 6, 65, 8, 11, 10, 8, 4, 6]], [[1, 1, 1, 108, 1, 1, 1, 1, 1, 97, 1, 1, 1]], [[2, 10, 3, 4, 5, 6, 7, 8, 9, 31, 10]], [[1, 1, 1, 2, 1, 1, 1, 1, 22, 1, 1, 1, 1]], [[3, 3, 4, 4, 4, 12, 8, 33, 9]], [[1, 1, 1, 77, 12, 1, 1, 1, 1, 97, 1, 1, 1]], [[11, 22, 33, 44, 65, 55, 66, 88, 99, 22, 22, 33]], [[2, 5, 2, 2, 1, 1, 1, 5, 5, 5, 6, 1, 5]], [[0, 2, 3, 4, 5, 6, 7, 8, 77, 10]], [[99, 1, 4, 1, 4, 1, 4, 22, 1, 4]], [[2, 1, 1, 1, 1, 4, 5, 5, 5, 5]], [[1, 4, 1, 4, 1, 4, 1]], [[0, 1, 2, 3, 9, 5, 6, 7, 8, 9, 10]], [[2, 2, 2, 1, 1, 2, 5, 5, 5]], [[2, 11, 3, 4, 5, 88, 5, 9, 8, 11, 8, 66]], [[10, 12, 22, 33, 44, 55, 66, 77, 88, 99]], [[2, 4, 2, 4, 5, 1, 5]], [[3, 4, 4, 6, 9, 12, 8, 11, 32, 8, 8]], [[65, 56, 22, 33, 44, 55, 66, 77, 88]], [[65, 11, 65, 22, 33, 44, 55, 66, 77, 88, 77, 99, 10]], [[0, 1, 2, 3, 4, 6, 7, 8, 9, 10]], [[99, 1, 4, 1, 1, 4, 1, 4, 1]], [[2, 11, 3, 4, 5, 88, 5, 76, 55, 11, 8, 8]], [[2, 2, 1, 1, 1, 5, 5, 5, 5, 5]], [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9]], [[12, 22, 33, 86, 55, 44, 32, 76, 88, 99, 77, 77]], [[3, 3, 4, 4, 6, 9, 12, 8, 11, 10, 8, 9, 6]], [[0, 1, 1, 1, 1, 1, 97, 1, 1, 1, 1]], [[11, 22, 33, 44, 65, 55, 66, 88, 99, 22, 65]], [[1, 55, 2, 2, 1, 1, 1, 1, 5, 5, 33, 1]], [[2, 1, 1, 1, 2, 1, 1, 1, 1, 22, 1, 1, 1, 1]], [[2, 5, 2, 2, 33, 1, 1, 5, 5, 5, 42, 1, 1, 5, 5]], [[2, 3, 4, 9, 9, 11, 2, 2, 10]], [[1, 1, 1, 1, 1, 1, 1]], [[1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0]], [[0, 0, 0, 0, 0, 0]], [[1, 4, 1, 1, 4, 1, 4, 1]], [[1, 1, 1, 1, 1, 1, 1, 22, 1, 1, 1, 1]], [[2, 3, 4, 3, 6, 44, 11, 10, 44]], [[2, 2, 2, 1, 1, 1, 5, 5, 5, 1, 1, 5]], [[1, 1, 44, 1, 44, 1, 1, 1, 1, 1, 97, 1, 1, 1]], [[11, 22, 33, 44, 65, 55, 66, 88, 99, 0, 22, 33, 88]], [[2, 4, 2, 4, 5, 1, 5, 2]], [[1, 1, 1, 108, 1, 1, 1, 1, 1, 97, 1, 1, 119, 1]], [[0, 1, 2, 3, 6, 7, 8, 9, 10, 5, 2]], [[2, 4, 3, 4, 6, 1, 5, 2]], [[75, 119, 2, 3, 64, 6, 9, 7, 9, 2, 4]], [[65, 10, 22, 33, 44, 55, 76, 66, 77, 88, 22, 33]], [[11, 22, 32, 44, 6, 65, 55, 66, 88, 99, 64, 22, 22]], [[3, 3, 4, 4, 42, 7, 11, 10, 32, 44]], [[1, 1, 1, 1, 1, 1, 1, 1, 97, 1, 1, 0, 1, 1, 1]], [[1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0]], [[86, 2, 3, 4, 5, 6, 6, 7, 8, 53, 10]], [[1, 1, 1, 1, 1, 1, 1, 1, 1, 32, 1]], [[11, 21, 33, 44, 65, 55, 89, 66, 88, 99, 22, 65]], [[31, 42, 53, 5, 76, 86, 97, 108, 119]], [[12, 11, 22, 33, 6, 65, 55, 66, 88, 99, 22, 22, 65, 88]], [[1, 1, 1, 1, 1, 1, 22, 1, 1, 1, 1]], [[2, 4, 5, 6, 7, 8, 9, 31, 10]], [[2, 4, 2, 4, 6, 1, 5, 2]], [[75, 1, 2, 4, 5, 6, 7, 9, 2, 4, 1]], [[2, 5, 2, 2, 1, 1, 1, 5, 21, 5, 5, 1]], [[31, 42, 53, 5, 86, 97, 108]], [[3, 3, 4, 4, 42, 7, 10, 32, 44]], [[2, 11, 3, 4, 5, 88, 5, 76, 55, 11, 8, 8, 8]], [[1, 4, 1, 4, 2, 1, 4, 1, 4, 4, 4]], [[86, 2, 21, 4, 4, 6, 7, 8, 9, 10, 7]], [[3, 3, 4, 4, 6, 9, 12, 11, 10, 8, 9]], [[4, 4, 77, 4, 6, 9, 12, 8, 11, 33, 8, 33, 9]], [[33, 11, 2, 33, 44, 65, 55, 66, 88, 99, 0, 22, 33, 88]], [[11, 22, 33, 44, 65, 54, 66, 88, 99, 22, 22, 33, 22]], [[2, 3, 4, 6, 44, 11, 10, 44]], [[0, 1, 2, 3, 4, 5, 6, 7, 97, 9, 2]], [[0, 1, 1, 1, 1, 1, 1, 64, 97, 1, 1, 1, 1]], [[0, 53, 2, 3, 6, 5, 75, 7, 8, 9, 10]], [[11, 22, 33, 44, 65, 55, 66, 88, 99, 77, 22, 22, 99]], [[11, 22, 33, 44, 55, 32, 66, 77, 88, 99]], [[65, 11, 65, 22, 33, 44, 55, 66, 77, 88, 77, 99, 10, 77, 88]], [[76, 22, 33, 100, 44, 65, 55, 66, 88, 99, 0, 22, 33, 88]], [[1, 3, 4, 2, 4, 5, 1, 5]], [[22, 33, 100, 65, 55, 66, 56, 99, 21, 0, 22, 33, 88]], [[1, 1, 1, 2, 1, 1, 1, 1, 22, 1, 1, 1, 1, 2]], [[11, 22, 33, 44, 65, 55, 66, 88, 56, 99, 0, 22, 33, 88]], [[1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1]], [[0, 1, 2, 3, 5, 7, 7, 8, 9, 10]], [[86, 2, 2, 4, 4, 5, 6, 7, 8, 9, 10, 9]], [[0, 53, 2, 3, 5, 6, 8, 9, 10]], [[1, 1, 1, 1, 1, 1, 1, 5, 1, 8, 108, 1, 1]], [[0, 1, 1, 1, 1, 1, 97, 1, 1, 0, 1]], [[2, 2, 2, 1, 1, 1, 5, 5, 2]], [[0, 1, 2, 3, 100, 5, 6, 7, 8, 9, 10, 4, 9, 7]], [[31, 11, 53, 64, 5, 76, 86, 97, 108, 119]], [[1, 1, 1, 1, 1, 1, 1, 1, 98, 1, 1, 1, 1]], [[1, 1, 1, 1, 1, 1, 1, 1, 97, 1, 1, 1, 1, 1]], [[0, 1, 2, 3, 5, 6, 7, 8, 9, 10, 4]], [[100, 2, 3, 3, 6, 44, 11, 10, 44, 100]], [[11, 22, 33, 44, 54, 66, 88, 99, 22, 22, 33, 22, 22]], [[2, 11, 3, 4, 9, 8, 11, 10]], [[86, 2, 3, 65, 5, 6, 42, 53, 77, 9, 10]], [[2, 11, 0, 4, 10, 4, 6, 9, 8, 11, 10, 8]], [[75, 75, 2, 3, 4, 5, 6, 7, 9, 2]], [[76, 3, 1, 2, 4, 4, 5, 6, 10, 9, 1, 4]], [[0, 1, 2, 54, 3, 4, 5, 6, 7, 9, 10]], [[2, 11, 0, 4, 10, 4, 4, 6, 9, 8, 11, 10, 8]], [[0, 2, 3, 4, 5, 6, 7, 8, 10]], [[2, 2, 44, 1, 1, 5, 5, 5]], [[0, 1, 2, 5, 6, 7, 8, 9, 10, 9]], [[2, 2, 1, 31, 2, 5, 5, 5]], [[86, 2, 2, 4, 4, 5, 6, 7, 8, 9, 10, 5]], [[99, 1, 4, 1, 4, 1, 4, 1, 4, 1]], [[2, 3, 4, 6, 6, 7, 8, 9, 10, 6]], [[3, 3, 4, 4, 6, 9, 8, 11, 10, 8, 9]], [[11, 22, 33, 44, 54, 66, 88, 99, 22, 22, 66, 33, 22, 22, 22, 33]], [[11, 22, 33, 44, 55, 66, 77, 88, 99, 77]], [[5, 3, 3, 4, 4, 4, 12, 8, 33, 8, 4]], [[2, 66, 3, 4, 6, 65, 8, 11, 10, 8, 4, 6, 8]], [[2, 3, 4, 4, 45, 6, 9, 44, 11, 10]], [[9, 3, 3, 4, 33, 4, 42, 7, 10, 32, 44]], [[1, 100, 1, 56, 1, 1, 1, 1, 1, 99, 1]], [[11, 21, 33, 44, 65, 89, 66, 88, 86, 99, 22, 65]], [[11, 22, 33, 44, 54, 66, 88, 99, 22, 22, 33, 22, 22, 22]], [[2, 11, 0, 4, 10, 4, 4, 6, 9, 8, 11, 10, 6, 10]], [[3, 1, 1, 1, 5, 100, 5, 5]], [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 2, 2]], [[3, 3, 4, 6, 9, 8, 11, 10, 8, 9]], [[2, 11, 3, 4, 5, 88, 6, 9, 8, 11, 10, 8, 4]], [[11, 22, 33, 44, 6, 65, 55, 66, 99, 22, 22, 22]], [[3, 4, 6, 9, 12, 8, 11, 33, 8, 8]], [[3, 3, 4, 4, 6, 9, 12, 8, 11, 33, 8, 12]], [[1, 1, 2, 1, 1, 1, 1, 22, 1, 1, 1, 1, 2, 1]], [[3, 4, 6, 21, 12, 8, 11, 100, 8, 8, 9]], [[2, 3, 4, 5, 4, 6, 8, 9, 31, 10]], [[1, 1, 1, 1, 1, 53, 1, 1, 1, 1, 32, 1]], [[99, 1, 4, 1, 4, 0, 1, 4, 22, 1, 4]], [[2, 3, 4, 11, 6, 44, 11, 10, 44]], [[2, 3, 4, 4, 6, 9, 8, 11, 10, 2]], [[3, 0, 1, 2, 3, 5, 6, 7, 8, 9, 10, 4, 2]], [[2, 1, 1, 1, 2, 1, 1, 1, 97, 1, 1, 1]], [[86, 2, 3, 4, 4, 6, 7, 8, 9, 31, 10]], [[98, 1, 2, 4, 5, 6, 7, 9, 2, 4, 1]], [[2, 1, 1, 1, 1, 4, 5, 5, 5, 5, 1]], [[0, 1, 2, 3, 3, 4, 5, 7, 9, 2, 7]], [[2, 11, 3, 3, 88, 6, 9, 8, 11, 10, 8, 3, 2, 2]], [[2, 1, 1, 1, 2, 1, 1, 1, 97, 1, 1, 1, 1]], [[2, 11, 4, 10, 4, 6, 9, 8, 11, 10, 8, 8]], [[31, 11, 53, 64, 5, 76, 86, 97, 108, 119, 31]], [[1, 1, 1, 1, 1, 1, 1, 98, 0, 1, 1, 1, 1]], [[12, 22, 34, 86, 55, 44, 32, 76, 99, 77, 77]], [[3, 4, 4, 6, 9, 108, 8, 11, 33, 8]], [[75, 1, 2, 11, 5, 6, 7, 9, 2, 4, 1]], [[0, 1, 1, 1, 1, 1, 1, 1, 97, 1, 1, 1]], [[86, 2, 3, 4, 5, 6, 7, 9, 10]], [[2, 1, 3, 1, 1, 5, 5, 5]], [[2, 2, 2, 1, 1, 2, 5, 5, 6, 5]], [[65, 1, 4, 1, 4, 0, 1, 4, 22, 1, 4, 1]], [[3, 4, 6, 8, 9, 31]], [[2, 2, 1, 1, 5, 5, 5, 2]], [[11, 22, 32, 44, 6, 64, 55, 66, 88, 99, 64, 22, 22]], [[2, 2, 1, 31, 2, 6, 5, 5, 5]], [[1, 1, 1, 1, 1, 2, 1, 1, 1, 32, 1]], [[0, 1, 2, 3, 4, 4, 6, 7, 8]], [[1, 0, 1, 2, 54, 3, 4, 5, 6, 7, 9, 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0, 1, 1, 1]], [[41, 1, 3, 4, 5, 7, 7, 43, 8]], [[1, 31, 2, 5, 1, 1, 99, 1, 1, 1, 1, 119, 1]], [[1, 2, 1, 1, 120, 119, 1, 1, 89, 1]], [[1, 1, 1, 44, 120, 119, 1, 1, 119, 1]], [[1, 2, 1, 22, 2, 1, 0, 119, 1, 1, 9, 1, 1]], [[31, 42, 5, 97, 120, 75, 75, 88]], [[31, 42, 3, 64, 88, 75, 97, 108, 31]], [[89, 2, 3, 119, 1, 5, 6, 7]], [[1, 1, 1, 1, 2, 2, 74, 75, 0, 1, 2]], [[118, 96, 53, 97, 120, 75, 75, 120]], [[1, 1, 2, 1, -1, 1, 6, 1, 66, 1, 1, 1]], [[42, 53, 86, 119, 97, 76, 75, 120]], [[1, 1, 2, 1, 86, 1, 1, 0, 77, 1, 1, 86]], [[0, 1, 44, 4, 5, 6, 7, 66, 3]], [[1, 2, 1, 43, 1, 1, 88, 1, 1, 1, 1]], [[31, 120, 42, 41, 53, 75, 86, 97, 52, 119, 75, 75, 75, 53]], [[31, 120, 42, 53, 75, 86, 97, 52, 89, 119, 90, 75, 75]], [[31, 4, 42, 42, 53, 75, 97, 120, 75, 75, 53]], [[30, 42, 3, 64, 87, 75, 86, 97, 119]], [[1, 2, 42, 1, 6, 66, 99, 1, 1, 1, 1, 1, 1]], [[1, 2, 1, 1, 120, 76, 119, 1, 1, 119, 1]], [[0, 1, 2, 2, 3, 4, 5, 6, 7, 31, 8, 1, 2, 8]], [[89, 4, 5, 6, 7, 6]], [[89, 3, 52, 64, 75, 86, 97, 108, 119, 97, 75, 89]], [[30, 31, 54, 42, 53, 86, 97, 118, 75, 97, 118, 54]], [[100, 1, 2, 1, 1, 1, 1, 0, 0]], [[100, 52, 1, 2, 1, 1, 1, 99, 1, 2, 1, 1, 0, 1]], [[100, 52, 1, 2, 1, 1, 1, 31, 99, 1, 1, 1, 0, 1]], [[1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1]], [[31, 42, 3, 64, 87, 75, 64, 86, 97, 108, 119, 31]], [[1, 2, 1, 1, 1, 88, 1, 1, 1, 1]], [[1, 1, 2, 1, 0, 1, 0, 97]], [[30, 42, 3, 64, 87, 2, 75, 86, 97, 119, 3]], [[1, 2, 1, 89, 1, 99, 10, 1, 1, 1, 1, 1]], [[31, 120, 2, 42, 55, 54, 53, 75, 119, 75, 75, 120]], [[1, 1, 119, 0, 1, 1, 1, 1, 1, 1]], [[4, 3, 4, 5, 7, 8, 9]], [[31, 120, 42, 75, 120, 41, 53, 75, 86, 97, 52, 119, 75, 75, 75, 53]], [[1, 2, 1, 43, 1, 1, 88, 1, 1, 1]], [[31, 42, 53, 75, 86, 97, 52, 75, 53]], [[4, 41, 2, 3, 4, 6, 7, 8, 9, 5, 9]], [[1, 119, 88, 1, 1, 1]], [[31, 120, 76, 42, 41, 53, 75, 86, 97, 52, 119, 75, 75, 51, 75]], [[30, 42, 3, 64, 87, 75, 86, 108, 119]], [[86, 2, 2, 1, 1, 1, 1, 1, 1, 4, 107, 44, 1, 1]]]
results = [12, 9, 0, 5, 0, 23, 3, 9, 0, 0, 6, 18, 0, 3, 7, 0, 1, 11, 0, 11, 1, 3, 9, 11, 7, 11, 9, 1, 0, 24, 22, 0, 10, 4, 1, 4, 1, 0, 12, 3, 0, 10, 11, 1, 0, 7, 5, 2, 15, 18, 1, 0, 11, 0, 22, 18, 11, 3, 9, 22, 10, 1, 1, 19, 8, 13, 5, 33, 10, 11, 0, 4, 8, 10, 17, 11, 10, 0, 23, 16, 17, 7, 1, 2, 1, 0, 5, 10, 15, 3, 16, 13, 8, 11, 5, 22, 0, 24, 14, 0, 2, 1, 16, 3, 11, 0, 0, 4, 11, 0, 275, 5, 0, 0, 375, 0, 65, 24, 8, 230, 5, 7, 20, 12, 9, 0, 31, 99, 11, 6, 0, 0, 9, 65, 2, 164, 8, 0, 264, 0, 23, 0, 3, 7, 24, 98, 6, 2, 14, 208, 14, 13, 84, 8, 11, 99, 0, 3, 11, 14, 84, 19, 84, 264, 19, 99, 4, 13, 14, 102, 45, 23, 5, 110, 68, 9, 42, 5, 1, 23, 10, 3, 13, 6, 21, 9, 208, 143, 12, 3, 66, 84, 103, 15, 82, 9, 31, 6, 102, 12, 24, 9, 87, 0, 7, 0, 12, 28, 103, 99, 208, 9, 72, 21, 37, 89, 14, 20, 99, 24, 7, 9, 24, 11, 0, 21, 341, 82, 12, 101, 3, 11, 11, 23, 11, 76, 7, 24, 6, 12, 6, 208, 12, 92, 100, 12, 4, 9, 11, 13, 0, 10, 12, 65, 372, 16, 102, 68, 12, 0, 165, 14, 101, 273, 41, 5, 45, 9, 4, 7, 0, 2, 6, 11, 12, 101, 208, 10, 125, 0, 8, 93, 142, 66, 14, 104, 7, 8, 6, 198, 300, 120, 5, 21, 5, 88, 28, 84, 3, 68, 2, 44, 12, 97, 121, 208, 0, 97, 102, 75, 307, 99, 372, 121, 2, 76, 6, 142, 6, 21, 0, 5, 6, 101, 6, 9, 89, 6, 103, 21, 14, 77, 23, 85, 0, 84, 7, 15, 20, 15, 6, 0, 6, 0, 99, 0, 12, 44, 275, 41, 3, 65, 45, 6, 109, 77, 20, 14, 0, 23, 8, 198, 14, 14, 5, 23, 31, 5, 100, 11, 0, 7, 100, 19, 13, 13, 24, 23, 101, 20, 120, 6, 231, 45, 88, 101, 15, 9, 6, 66, 12, 11, 66, 11, 6, 0, 11, 13, 24, 120, 231, 0, 5, 21, 10, 16, 307, 110, 12, 23, 6, 6, 17, 86, 13, 12, 341, 9, 8, 26, 275, 68, 108, 149, 121, 11, 9, 84, 0, 120, 44, 38, 7, 10, 0, 14, 23, 9, 6, 175, 109, 171, 20, 133, 41, 82, 62, 104, 175, 9, 9, 78, 102, 11, 110, 5, 5, 4, 155, 5, 23, 11, 101, 94, 110, 90, 127, 45, 275, 49, 25, 16, 7, 6, 44, 117, 82, 20, 20, 15, 5, 15, 2, 6, 7, 6, 6, 132, 104, 100, 274, 136, 70, 66, 13, 16, 23, 0, 89, 12, 7, 41, 20, 11, 12, 26, 10, 110, 97, 69, 109, 85, 11, 11, 24, 136, 120, 110, 231, 44, 3, 42, 0, 1, 181, 33, 11, 6, 84, 0, 20, 5, 157, 14, 36, 153, 100, 6, 165, 165, 69, 36, 18, 10, 7, 83, 6, 99, 33, 143, 24, 0, 4, 9, 12, 5, 30, 241, 197, 6, 109, 98, 7, 101, 186, 121, 10, 155, 0, 198, 12, 0, 15, 4, 2, 258, 100, 24, 2, 17, 13, 6, 99, 300, 95, 104, 3, 14, 176, 24, 31, 17, 65, 6, 1, 81, 7, 23, 294, 9, 13, 135, 12, 76, 0, 9, 9, 24, 21, 137, 5, 13, 47, 99, 15, 1, 0, 3, 21, 3, 0, 4, 11, 110, 203, 5, 84, 4, 31, 84, 5, 4, 10, 5, 256, 4, 5, 159, 6, 6, 0, 325, 4, 6, 43, 256, 159, 256, 159, 43, 210, 181, 5, 101, 181, 5, 0, 397, 5, 6, 13, 397, 0, 159, 159, 278, 121, 101, 5, 450, 5, 234, 4, 5, 15, 103, 5, 0, 256, 6, 3, 6, 118, 181, 8, 325, 256, 256, 8, 365, 5, 6, 375, 16, 400, 0, 8, 12, 159, 278, 15, 5, 0, 5, 122, 159, 278, 109, 89, 6, 159, 4, 3, 322, -1, 192, 241, 186, 12, 3, 206, 4, 13, 4, 5, 181, 8, 187, 2, 8, 225, 0, 256, 122, 6, 181, 7, 6, 96, 367, 0, 276, 175, 15, 256, 1, 5, 3, 3, 106, 152, 12, 5, 0, 92, 3, 121, 285, 6, 118, 101, 337, 5, 122, 159, 15, 5, 4, 0, 333, 84, 4, 172, 137, 7, 456, 16, 122, 4, 172, 181, 104, 4, 5, 256, 6, 13, 36, 488, 159, 5, 90, 5, 210, 84, 103, 61, 1, 83, 171, 90, 256, 385, 122, 22, 163, 150, 203, 4, 122, 191, 188, 149, 8, 77, 114, 112, 247, 8, 91, 128, 278, 3, 2, 4, 355, 2, 4, 6, 6, 241, 281, 60, 205, 240, 191, 121, 238, 265, 100, 8, 123, 5, 6, 14, -1, 6, 2, 104, 53, 114, 194, 1, 96, 6, 111, 281, 2, 102, 16, 419, 53, 3, 192, 3, 78, 200, 9, 96, 60, 80, 247, 60, 16, 225, 0, 78, 119, 172, 164, 193, 13, 3, 1, 247, 225, 128, 4, 159, 1, 11, 171, 194, 181, 234, 234, 118, 124, 50, 3, 3, 112, 419, 234, 250, 0, 96, 10, 147, 5, 1, 6, 156, 43, 1, 0, 80, 53, 2, 257, 6, 84, 3, 459, 6, 365, 241, 13, 31, 128, 4, 121, 172, 0, 5, 61, 210, 5, 3, 104, 6, 256, 441, 4, 4, 6, 2, 124, 91, 150, 7, 87, 234, 331, 5, 181, 102, 172, 5, 5, 56, 104, 92, 122, 13, 111, 162, 93, 2, 128, 1, 172, 80, 15, 5, 234, 367, 309, 209, 103, 123, 15, 101, 455, 225, 2, 5, 103, 6, 337, 5, 1, 265, 5, 333, 123, 16, 234, 4, 137, 25, 2, 513, 209, 111]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(solution)
print('___SENTINEL___')
| aaf2fd2a17562767c9c98c346aad1a55 |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-4
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-04, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[[5, 8, 7, 1]], [[3, 3, 3, 3, 3]], [[30, 13, 24, 321]]]
results = [12, 9, 0]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(solution)
print('___SENTINEL___')
| ee2b4ceeb928c26bd3260fa9497c755a |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-6
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-07, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[[1, -2, -3, 41, 57, 76, 87, 88, 99], 3], [[111, 121, 3, 4000, 5, 6], 2], [[11, 21, 3, 90, 5, 6, 7, 8, 9], 4], [[111, 21, 3, 4000, 5, 6, 7, 8, 9], 4], [[1], 1], [[98, 87, 76, 65, 54, 43, 32, 21, 10], 5], [[-4, 5, 67, 34, 56, 12, 89, 23, 45], 7], [[100, 200, 300, 400, 500, 600], 3], [[10, 20, 30, 40, 50, 60], 1], [[-1, -2, -3, -4, -5, -6, -7, -8, -9], 4], [[9, 10, 11, 100, 200, 300], 5], [[90, 80, 70, 60, 50, 40, 30], 3], [[1, 11, 22, 99, 100, 999], 6], [[5, 10, 15, 20, 25, 30, 35, 40, 45, 50], 10], [[101, 202, 303], 2], [[98, 87, 65, 54, 43, 32, 21, 10, 87], 5], [[100, 199, 300, 400, 500, 600], 3], [[200, 300, 400, 500, 600], 3], [[-1, -2, -3, -4, -5, -6, -7, -8, -9], 3], [[100, 199, 300, 400, 500, 600], 2], [[98, 87, 76, 20, 65, 54, 43, 32, 21, 10], 5], [[98, 87, 76, 20, 65, 54, 43, 32, 21, 10, 87], 5], [[100, 199, 400, 500, 600], 2], [[-4, 5, 67, 34, 56, 12, 23, 87], 7], [[-1, -2, -3, -4, -5, -6, -7, -8, -10], 3], [[90, 80, 70, 60, 50, 40, 30, 90], 3], [[-1, -2, -3, -4, -5, -6, -7, 99, -10], 3], [[100, 199, 300, 400, 500, 600, 600], 3], [[-4, 5, 67, 34, 56, 12, 23, 87, 67, 34], 7], [[101, 303], 2], [[5, 10, 15, 20, -2, 25, 30, 35, 40, 45, 50], 10], [[9, 10, 11, 101, 200, 300], 6], [[5, 10, 15, 20, -2, 25, 30, 35, 40, 45, 50, -2], 10], [[-4, 5, 67, 34, 56, 12, 23, 87, 67], 7], [[100, 199, 300, 400, 500, 600], 1], [[100, 199, 400, 9, 500, 600], 2], [[100, 199, 299, 400, 500, 600], 3], [[5, 21, 10, 15, 20, -2, 25, 30, 35, 40, 45, 50], 10], [[5, 21, 10, 15, 20, -2, 25, 30, 35, 40, 45, 50, 5], 10], [[100, 199, 300, 400, 500, 600, 300], 2], [[-1, -2, -3, -4, -5, -6, -7, 99, -10], 2], [[100, 199, 300, 399, 500, 600, 50, 300], 1], [[9, 10, 11, 100, 200, 300], 4], [[101, 23], 2], [[-7, -1, -2, -3, -4, -5, -6, -7, 99, -10], 2], [[-1, -2, -3, -4, -5, -6, -7, -8], 5], [[-1, -2, -3, -4, -5, -6, -7, 99, -10], 4], [[-4, 5, 67, 34, 56, 12, 89, 23, 11, 45], 7], [[100, 199, 300, 400, 500, 600, 300], 7], [[90, 80, 60, 50, 40, 51, 30], 3], [[-1, -2, -3, -4, -5, -6, 35, -8], 5], [[304, 101, 303], 2], [[98, 87, 65, 54, 43, 32, 21, 10, 87, 21], 6], [[9, 10, 100, 200, 10, 300, 10], 5], [[5, 21, 10, 15, 20, -2, 25, 30, 35, 40, 45, 50, 5, 10], 11], [[23, 101, 23], 2], [[90, 80, 70, 60, 50, 40, 30], 2], [[-1, -2, -3, 12, -5, -6, 35, -8], 5], [[-4, 5, 67, 34, 56, 12, 89, 23, 11, 45], 8], [[-4, 5, 67, 34, 56, 12, 23, 87], 6], [[101, 23], 1], [[202, 101, 202, 303], 2], [[-4, 5, 67, 34, 56, 12, 23, 87, 67, -4], 7], [[-1, -2, -3, -4, -5, -6, -7, -8, -9, -8], 3], [[5, 21, 10, 20, -2, 25, 30, 35, 40, 45, 50], 9], [[-5, 5, 67, 34, 56, 12, 23, 87, 67, 34], 7], [[5, 21, 10, 15, 20, -2, 25, 30, 35, 40, 45, 50], 12], [[90, 80, 70, 60, 50, 40, 30, 90, 70], 3], [[100, 300, 400, 500, 600, 600], 1], [[5, 10, 15, 20, 24, 30, 35, 40, 45, 50], 10], [[100, 199, 400, 9, 600], 2], [[98, 87, 76, 20, -6, 65, 54, 43, 32, 21, 10, 87], 5], [[90, 23, 70, 60, 50, 40, 30], 3], [[100, 35, 199, 400, 500, 600, 300], 2], [[5, 21, 10, 15, 20, -2, 25, 30, 35, 40, 45, 49], 11], [[5, 10, 15, 20, -2, 25, 30, 35, 40, 16, 45, 50], 11], [[100, 199, 300, 400, 500, 600, 600, 199], 2], [[-1, -2, -3, -4, -6, -7, -8, -9], 4], [[-1, -2, -3, -4, -6, 16, -8, -9], 4], [[60, 101, 303], 2], [[-1, -2, -3, -4, -5, -6, -7, 99, -10], 5], [[98, 87, 76, 20, -6, 65, 43, 32, 21, 10, 87], 5], [[100, 199, 300, 400, 500, 600, 300], 1], [[98, 87, 76, 20, -6, 54, 43, 32, 21, 10, 87], 5], [[100, 35, 199, 400, 500, 600, 300, 199], 5], [[5, 21, 10, 20, -2, 25, 30, 35, 40, 45, 50], 10], [[100, 35, 199, 501, 400, 500, 600, 300], 1], [[50, 9, 100, 200, 10, 300, 10], 5], [[100, 35, 199, 400, 500, 600, 500, 300, 199], 2], [[5, 21, 10, 15, 20, 70, 25, 30, 35, 40, 45, 50], 10], [[-5, 5, 67, 34, 56, 12, 23, 87, 67, 34, 12], 6], [[5, 21, 10, 15, 20, -2, 25, 30, 35, 40, 45, 50], 11], [[23, 100, 101, 23], 2], [[98, 87, 76, 20, 65, 54, 43, 32, 21, 10, 87, 87, 54], 5], [[-2, -3, -4, -5, -6, -7, 99, -10], 4], [[5, 21, 10, 15, 20, 70, 25, 30, 35, 40, 45, 50, 40], 10], [[100, 199, 300, 400, -7, 600, 300], 7], [[-4, 5, 67, 56, 12, 23, 87, 67], 7], [[200, 301, 400, 500, 600], 2], [[-1, -2, -3, -4, -5, -6, 8, 99, -10], 3], [[100, 199, 300, 32, 400, 500, 600], 3], [[90, 80, 70, 60, 50, 40, 31], 3], [[5, 21, 10, 15, 20, -2, 25, 30, 35, 40, 45, 5], 10], [[5, 21, 10, 15, 20, -2, 25, 30, 35, 40, 45, 50, 5, 25], 11], [[9, 10, 11, 100, 12, 200], 4], [[1000000, 200, 3, 40, 5000000, 60, 7, 8000, 9, 10], 8], [[-99, -88, -77, -66, -55, -44, -33, -22, -11], 5], [[10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110], 7], [[111, 321, 500, 100, 200, 300, 400, 600, 700], 3], [[1000, 20, 300, 40000, 100, 500, 10000, 6000, 70, 800], 5], [[11, 22, 33, 44, 55, 66, 77, 88, 99], 9], [[-99, -88, -77, -66, -55, -44, -33, -22, -11, 0, 11, 22, 33, 44, 55, 66, 77, 88, 99], 10], [[100, 200, 300, 400, 500, 600, 700, 800, 900, 1000], 3], [[111, 1111, 22, 222, 333, 444, 555, 666, 777, 888, 999, 1000, 2000, 3030, 4040, 5050, 6000, 7000, 8000, 9000], 12], [[1000000, 20, 300, 40000, 100, 500, 10000, 6000, 70, 800], 4], [[10, 20, 31, 40, 50, 60, 70, 80, 90, 100, 110], 7], [[1000000, 200, 3, 40, 5000000, 60, 7, 8000, 9, 10, 7], 8], [[100, 200, 300, 400, 500, 600, 700, 800, 900, 1000], 4], [[1000000, 200, 3, 40, 5000000, 60, 7, 8000, 9, 33, 10], 9], [[1000000, 3, 200, 3, 40, 5000000, 60, 7, 8000, 9, 10, 7], 8], [[111, 1111, 22, 222, 333, 444, 555, 666, 777, 888, 999, 1000, 2000, 8000, 4040, 5050, 6000, 7000, 8000, 9000], 12], [[111, 1111, 22, 222, 333, 445, 555, 666, 777, 888, 999, 1000, 2000, 8000, 4040, 5050, 6000, 7000, 8000, 9000], 12], [[111, 1111, 22, 222, 333, 444, 555, 666, 777, 888, 999, 1000, 2000, 3030, 5050, 6000, 7000, 8000, 9000], 12], [[-99, -89, -77, -66, -55, -44, -33, -22, -11], 5], [[1000000, 200, 3, 40, 5000000, 60, 7, 4999999, 8000, 9, 10, 7], 8], [[10, 200, 300, 400, 500, 600, 700, 800, 900, 1000], 3], [[111, 1111, 222, 333, 444, 555, 666, 777, 888, 999, 1000, 2000, 8000, 4040, 5050, 6000, 7000, 8000, 9000], 5], [[-99, -89, -77, -55, 900, -44, -33, -22, -11], 5], [[111, 1111, 22, 222, 333, 444, 555, 666, 777, 888, 999, 1000, 2000, 3030, 5050, 6000, 7000, 8000, 9000, 111], 12], [[1000, 20, 300, 40000, 100, 500, 10000, 6000, 70, 40000, 800], 5], [[8000, 1000000, 200, 3, 40, 5000000, 60, 7, 8000, 9, 10], 8], [[10, 200, 300, 400, 600, 700, 800, 900, 1000], 3], [[111, 1111, 222, 333, 444, 555, 666, 777, 888, 999, 1000, 2000, 8000, 4040, 5050, 6000, 7000, 8000, 9000, 7000], 4], [[111, 1111, 22, 222, 333, 300, 444, 555, 666, 777, 888, 999, 1000, 2000, 3030, 5050, 6000, 8000, 9000], 12], [[10, 200, 300, 400, 700, 800, 900, 200, 1000], 3], [[3, 200, 3, 40, 5000000, 7, 8000, 9, 10, 7], 8], [[10, 20, 31, 40, 50, 60, 70, 1000000, 80, 90, 100, 110], 6], [[-99, -88, -78, -66, -55, -44, -33, -22, -11, 0, 11, 22, 33, 44, 55, 66, 77, 88, 99], 10], [[111, 1111, 22, 222, 333, 444, 555, 666, 777, 888, 999, 1000, 2000, 3030, 4039, 5050, 6000, 7000, 8000, 9000], 12], [[-99, -89, -77, -55, 900, -44, -33, -22, -11], 6], [[2, 200, 3, 40, 5000000, 7, 8000, 9, 10, 7], 8], [[111, 1111, 22, 222, 333, 445, 555, 777, 888, 999, 1000, 2000, 8000, 4040, 5050, 6000, 7000, 8000, 9000], 12], [[111, 1111, 22, 222, 333, 444, 555, 666, 777, 888, 999, 1000, 2000, 3030, 5050, 6000, 7000, -55, 8000, 9000, 555], 12], [[111, 1111, 22, 222, 333, 444, 555, 666, 777, 888, 999, 1000, 2000, 3030, 4040, 5050, 6000, 7000, 8000, 9000], 11], [[111, 1111, 22, 222, 333, 445, 555, 777, 888, 999, 1000, 2000, 8000, 4040, -78, 5050, 6000, 7000, 8000, 9000], 12], [[100, 200, 300, 400, 500, 600, 700, 800, 900, 1000, 200], 3], [[1000, 20, 101, 300, 40000, 100, 500, 10000, 6000, 70, 40000, 800], 5], [[1000000, 200, 3, 40, 5000000, 60, 7, 8000, 10, 10], 8], [[1000, 20, 101, 300, 40000, 100, 500, 10000, 6000, 70, 40000, 333], 6], [[1000, 20, 101, 300, 39999, 100, 500, 10000, 6000, 70, 40000, 800], 5], [[1000000, 20, 5000000, 40000, 100, 500, 10000, 6000, 70, 800], 4], [[100, 100, 201, 300, 400, 500, 600, 700, 800, 900, 1000, 200], 3], [[111, 1111, 22, 222, 333, 300, 444, 555, 666, 777, 888, 999, 1000, 2000, 3030, 5050, 6000, 8000, 9000], 11], [[100, 200, 300, 400, 500, 600, 700, 800, 900, 1000, 1000], 4], [[111, 1111, 22, 222, 333, 444, 555, 666, 777, 888, 1000, 2000, 3030, 5050, 6000, 7000, 8000, 9000, 111], 12], [[1000000, 20, 5000000, 40000, 100, 500, 9999, 6000, 70, 801], 3], [[1000, 20, 101, 300, 39999, 100, 500, 10000, 6000, 70, 40000, 800], 4], [[80, 8, 200, 3, 40, 5000000, 60, 7, 4999999, 8000, 9, 10, 7], 8], [[111, 1111, 22, 222, 333, 444, 555, 666, 777, 888, 999, 1000, 2000, 3030, 4039, 5050, 6000, 4039, 7000, 8000, 9000], 12], [[1000000, 200, 2000, 40, 5000000, 60, 7, 8000, 9, 10], 8], [[111, 1111, 22, 222, 0, 555, 666, 888, 999, 1000, 2000, 3030, 5050, 6000, 7001, 8000, 9000, 111], 12], [[-99, -89, -77, -55, 900, -44, -22, -11], 7], [[-99, -99, -89, -77, -55, 900, -44, -33, -22, -11], 5], [[111, 1111, 22, 222, 333, 444, 555, 666, 777, 888, 1000, 2000, 3030, 5050, 6000, 444, 7000, 8000, 9000, 111], 12], [[1000, 20, 300, 40000, 301, 100, 500, 10000, 6000, 70, 800], 5], [[111, 1111, 222, 333, 445, 555, 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6000, 80, 800, 6000, 10000], 3], [[100, 200, 300, 400, 500, 600, 700, 199, 800, 900, 90], 9], [[-99, -88, -77, -66, -55, -44, -33, -11], 6], [[100, 499, 300, 400, 500, 600, 700, 800, 101, 1000, 500, 100, 100], 8], [[111, 500, 100, 200, 100, 300, 600, 222, 112, 700, 200], 3], [[100, 200, 300, 100, 400, 500, 599, 700, 199, 800, 900, 90, 100], 3], [[100, 200, 300, 400, 599, 500, 600, 320, 800, 70, 1000, 500], 9], [[111, 321, 500, 100, 200, 300, 400, 600, 700, 100], 5], [[112, 321, 500, 100, 200, 300, 400, 321, 321, 321, 112], 4], [[200, 300, 5000000, 700, 50, 800, 900, 1000, 900], 5], [[-99, -88, -77, -66, -55, -44, -33, -22, -22], 6], [[111, 321, 500, 200, 300, 400, 600, 700, 9000, 111], 4], [[100, 200, 300, 400, 500, 600, 800, 70, 1000, 500], 9], [[1000, 20, 300, 40000, 666, 100, 500, 10000, 6000, 80, 800], 4], [[321, 77, 100, 300, 66, 600, 700], 1], [[20, 70, 30, 40, 50, 60, 70, 80, 90, 100, 110, 50], 6], [[100, 200, 300, 600, 700, 800, 1000], 3], [[500, 100, 222, 700, 600], 2], [[111, 321, 500, 100, 200, 300, 600, 222, 700, 321], 3], [[1000, 20, 300, 40000, -11, 100, 500, 10000, 6000, 800, 6000], 4], [[100, 200, 300, -88, 1001, 500, 600, 700, 800, 801, 900, 1000, 1000, 1000, 1000], 4], [[1000, 20, 300, 40000, 100, 500, 6000, 80, 800, 6000, 10000, 10000], 3], [[-99, -88, -77, -66, -55, -33, -22, -11, 3030, 11, 22, 33, 44, 55, 66, 77, 88, 99, 66], 9], [[-99, -88, -77, 67, -55, -44, -33, -22, -11, 3030, -88, 78, 22, 33, 44, 55, 66, 77, 88, 99], 10], [[-99, -88, -77, -66, -55, -44, -33, 888, 44, -11, 0, 11, 22, 33, -12, 44, 55, 77, 88, 99], 11], [[799, 1000000, 20, 300, 40000, 100, 500, 10000, 6000, 70, 800], 3], [[-99, -88, -77, -66, -55, -44, -33, -22, -11, 0, 11, 22, 33, 44, 55, 20, 66, 77, 88, 99, -44], 10], [[100, 200, 300, 400, 500, 600, -54, 700, 800, 1000], 3], [[111, 320, 500, 100, 200, 300, 222, 600, 222, 112, 319, 700], 3]]
results = [-4, 0, 125, 24, 1, 380, 259, 0, 10, -10, 30, 240, 133, 275, 0, 347, 0, 0, -6, 0, 346, 346, 0, 193, -6, 240, -6, 0, 193, 0, 223, 30, 223, 193, 0, 0, 0, 199, 199, 0, -3, 0, 30, 23, -8, -15, -10, 259, 0, 230, -15, 0, 379, 29, 244, 23, 170, 1, 282, 170, 0, 0, 193, -6, 184, 192, 294, 240, 0, 274, 0, 275, 183, 35, 244, 239, 0, -10, -10, 60, -15, 275, 0, 275, 35, 229, 0, 69, 35, 271, 169, 244, 23, 346, -14, 271, -7, 246, 0, -6, 0, 240, 199, 244, 30, 110, -385, 280, 0, 20, 495, -495, 0, 22, 20, 281, 110, 0, 119, 113, 22, 22, 22, -386, 110, 10, 0, -320, 22, 20, 110, 10, 0, 22, 10, 62, 211, -496, 22, -364, 61, 22, 22, 22, 22, 0, 20, 110, 20, 20, 20, 0, 22, 0, 22, 20, 20, 198, 22, 107, 22, -386, -419, 22, 20, 0, 0, 62, 20, 70, 20, -287, 110, 0, 281, 22, 10, 22, 20, 20, 211, 59, -396, 10, 22, -419, 22, 0, 22, 0, 20, 0, 280, 0, 0, 20, 0, 22, 20, -342, 22, 22, 121, 61, 93, 110, -364, 22, -474, 106, 0, 77, 20, 0, 20, 0, 130, 0, 20, -496, 112, 72, 22, 22, 22, 129, 211, 136, 0, 22, -419, 0, -364, 119, -320, 0, 22, 20, 20, 0, 20, 0, 0, 20, 22, 20, 22, 22, 20, 22, 22, 69, 102, 20, 110, -353, 20, 20, 0, 22, 22, 22, -19, -386, 22, 0, 0, 0, 43, 22, 20, 20, 22, 22, 0, 22, 40, -19, 22, 109, 22, 211, 22, 20, 10, 22, -320, -496, 106, 122, 110, -496, 40, -320, 396, 22, 22, 91, 211, 54, 0, 20, 20, 53, 6, 20, 0, 6, 22, -496, 20, -474, 22, 110, 6, 110, 22, 22, 22, -485, 22, 32, 22, 52, 136, 20, 280, 20, 116, 22, 22, 22, 22, 0, 22, 0, -365, 20, 59, -474, 19, 280, -397, 0, 82, 29, 0, 129, 45, 267, 22, -320, 22, 103, 44, 22, 0, 0, 171, 110, 40, 10, 20, -108, 280, 0, 22, 0, 0, -452, 40, 0, 0, 20, 22, 20, 22, -496, 28, -19, 105, -320, 102, 22, 20, 0, 22, 22, -386, 107, 22, 22, 0, 101, 73, 22, 0, 20, 65, 107, 110, 10, 110, 0, 0, 28, 22, 28, 0, 22, 22, 20, 20, 0, 0, 81, 22, 110, 63, -474, 22, -419, -386, 20, 22, 22, 93, 40, 120, 22, 367, -365, 50, 76, 22, 0, 319, 0, 22, 29, 22, 20, 110, 22, 129, 0, 22, 22, 197, 20, 22, 29, 99, 20, 40, 22, 99, 102, 20, 222, 22, 22, 0, 0, 91, 0, 0, 20, 22, 29, 22, 22, 50, 138, 22, 0, 22, 0, 103, 20, 0, 110, 20, 20, 28, 20, 20, 22, 21, 0, 0, -495, 22, 77, 212, 0, 46, 22, 20, 20, 91, 0, 46, 53, 110, 367, 73, 20, 20, 22, 22, 119, 0, 20, 0, 110, 101, 0, 20, 0, 20, 10, 0, -364, 122, 0, 10, 55, -496, 20, 22, -420, 20, 110, 22, 20, 22, 62, 22, 0, 40, 22, 197, -420, 0, 20, 22, 101, 20, -397, 20, 20, 22, 109, 50, 20, 22, 85, 0, 13, 10, 22, -496, 0, -11, 110, 22, 92, 157, 20, -441, 0, -386, 20, 69, 211, 40, 0, 0, 22, -364, 42, 20, 22, 0, 0, -375, 0, -320, 62, 272, 262, 0, 109, 119, 10, 22, 0, 22, 20, 0, -442, 0, -28, 197, 418, -387, 22, 0, 45, 20, 0, 22, -275, 20, 0, 23, 15, 0, 99, 15, 0, -23, -2, 55, 0, 210, 210, 0, 110, 160, 20, 0, -429, 0, -495, 20, 20, 150, 22, -495, -429, 20, 0, 22, 20, 0, -429, 20, 119, -429, 210, -454, 0, 0, 0, 240, -495, 22, 0, 0, -385, 0, 0, -494, 0, 70, 0, -421, 0, 0, 0, 22, -297, -462, 0, 0, 0, 0, 0, 41, 0, -429, 20, 0, 0, 22, 0, 0, 0, 0, 0, 0, 0, 70, 250, 0, 0, 118, 22, -462, 0, 0, 0, 0, -495, 77, 70, 0, 0, 0, 0, 20, 20, 70, 20, 20, 230, -429, 0, -429, 0, 129, -461, 0, 0, -429, -363, 0, -495, 0, 0, 0, 0, -385, 20, 220, 0, 0, 0, 77, 0, 0, 239, -264, 20, 20, 0, 20, 0, 0, 6, -363, 20, 20, -385, 22, 22, 100, 0, 0, 70, 0, -429, -88, -495, -352, 0, 0, -483, -473, 0, 0, -462, 0, 0, 0, 20, 0, 0, 0, 0, 273, 210, 0, 70, 20, 20, 41, 22, -429, 0, 120, 0, -88, -88, -495, 0, 0, 0, 70, -66, 110, 0, 0, -363, 0, -417, 20, -396, 0, 250, 127, 0, 280, 0, 0, -462, 0, 0, 99, -363, 0, 0, 3, 0, 0, 0, 22, -495, 280, 0, -362, 0, 22, 0, 0, 0, 0, -451, 0, 0, 45, -362, 273, 127, -89, 22, 280, 0, -462, 20, 0, -54, 0, -407, 0, 0, 0, 0, 0, -582, -418, 0, -418, 0, -495, 0, 3, 0, 20, 0, 22, 0, 66, 240, 0, 0, 9, 0, 0, 0, -296, 0, 22, 20, 0, -473, 0, 0, 130, 0, 0, 0, 50, 20, 0, 20, 0, 0, -75, 0, -68, 20, 20, -242, 20, 110, 20, 0, 22, -289, 0, 0, -396, 0, -285, 270, 0, 0, 110, -264, 0, -462, 0, -363, 0, 0, 0, 0, 0, 0, 0, 0, 0, 41, 0, 0, 9, 0, -54, 0, 22, 70, 250, 0, 0, 270, -396, -330, 0, -297, 22, -406, -484, 0, -22, -88, -284, 0, 71, 22, 0, 20, 22, 0, -88, 0, 110, -330, 0, -264, 49, 0, 0, 20, 20, 0, -429, 0, 0, 0, 0, 0, 0, 50, -429, 0, 70, 20, 0, 270, 0, 0, 0, 20, -88, 20, -451, -362, -429, 20, -495, 0, 0]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(add_elements)
print('___SENTINEL___')
| 2c0daca7d861d0d6f5d4fa4a4feb1d63 |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-4
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-04, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[[111, 21, 3, 4000, 5, 6, 7, 8, 9], 4]]
results = [24]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(add_elements)
print('___SENTINEL___')
| 6309bdcbd74f2802b20743dee44e7ab4 |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-6
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-07, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[14], [5], [12], [1], [2], [3], [7], [10], [15], [20], [25], [30], [100], [13], [6], [101], [99], [29], [19], [27], [26], [8], [28], [11], [102], [18], [16], [98], [17], [4], [21], [9], [62], [22], [103], [97], [10000], [27345], [48271], [99999], [1000000], [10000000000000], [982927638], [1073741825], [9857654321], [9999999999999999999999999999999999], [9999999999999999999999999999999998], [27347], [1000001], [1000002], [10001], [27348], [27349], [10000000000000000000000000000000000], [27350], [982927639], [10002], [999999], [982927641], [982927642], [982927640], [48272], [1073741824], [100001], [1073741826], [100000], [1073741822], [9857654322], [9999], [100002], [48270], [27346], [99998], [982927637], [999998], [99997], [982927636], [37], [1073741823], [982927643], [1073741827], [10000000000000000000000000000000001], [82], [999997], [1073741821], [70], [36], [10003], [76], [9999999999999], [10004], [9999999999999999999999999999999997], [2147483647], [9223372036854775807], [9223372036854775808], [9857654320], [10000000000001], [10000000000002], [27344], [10000000000003], [9997], [67], [9857654323], [27343], [9996], [9998], [10000000000004], [9999999999998], [27342], [52], [27340], [68], [9999999999997], [83], [9857654319], [9999999999996], [9999999999995], [9999999999994], [9857654324], [48273], [48274], [27341], [35], [27339], [54], [48276], [53], [9999999999993], [982927644], [34], [982927645], [33], [999996], [9999999999992], [9999999999991], [1073741828], [96], [999995], [55]]
results = [[1, 5, 7, 11, 13, 17], [1, 5], [1, 3, 5], [1], [1], [1, 3, 5], [1, 5, 7, 11, 13, 17], [1, 5], [1, 5, 15, 23, 35, 53], [1, 5], [1, 5, 11, 13, 17, 19, 25, 29], [1, 5, 15, 23, 35, 53], [1, 5, 11, 13, 17, 19, 25, 29], [1, 5, 13], [1, 3, 5], [1, 5, 11, 13, 17, 19, 29, 101], [1, 5, 7, 11, 13, 17, 99, 149], [1, 5, 11, 13, 17, 29], [1, 5, 11, 13, 17, 19, 29], [1, 5, 23, 27, 31, 35, 41, 47, 53, 61, 71, 91, 103, 107, 121, 137, 155, 161, 167, 175, 233, 251, 263, 283, 319, 325, 377, 395, 425, 433, 445, 479, 577, 593, 719, 911, 1079, 1367, 1619, 2051, 2429, 3077], [1, 5, 13], [1], [1, 5, 7, 11, 13, 17], [1, 5, 11, 13, 17], [1, 5, 11, 13, 17, 29, 51, 77], [1, 5, 7, 9, 11, 13, 17], [1], [1, 5, 7, 11, 13, 17, 37, 49], [1, 5, 13, 17], [1], [1, 21], [1, 5, 7, 9, 11, 13, 17], [1, 5, 23, 31, 35, 47, 53, 61, 71, 91, 103, 107, 121, 137, 155, 161, 167, 175, 233, 251, 263, 283, 319, 325, 377, 395, 425, 433, 445, 479, 577, 593, 719, 911, 1079, 1367, 1619, 2051, 2429, 3077], [1, 5, 11, 13, 17], [1, 5, 23, 35, 53, 61, 103, 155, 167, 175, 233, 251, 263, 283, 319, 325, 377, 395, 425, 433, 445, 479, 577, 593, 719, 911, 1079, 1367, 1619, 2051, 2429, 3077], [1, 5, 23, 35, 47, 53, 55, 61, 71, 73, 83, 91, 97, 103, 107, 121, 125, 137, 155, 161, 167, 175, 233, 251, 263, 283, 319, 325, 377, 395, 425, 433, 445, 479, 577, 593, 719, 911, 1079, 1367, 1619, 2051, 2429, 3077], [1, 5, 11, 13, 17, 469, 625], [1, 5, 23, 31, 35, 41, 47, 53, 61, 71, 91, 103, 107, 109, 121, 137, 145, 155, 161, 167, 175, 193, 233, 251, 257, 263, 283, 319, 325, 377, 395, 425, 433, 445, 479, 577, 593, 685, 719, 911, 913, 1079, 1217, 1367, 1619, 2051, 2429, 3077, 3245, 7691, 8653, 11537, 20509, 27345], [1, 5, 11, 13, 17, 19, 29, 101, 119, 179, 211, 269, 281, 317, 443, 499, 665, 749, 1181, 1243, 1399, 1657, 1865, 1963, 2099, 2209, 2945, 3149, 3871, 4135, 5513, 5807, 6203, 6979, 8711, 9305, 10469, 13067, 13763, 14701, 17183, 19601, 20645, 24467, 25775, 30547, 36701, 38663, 45821, 48271, 57995, 65245, 72407, 86993, 108611, 162917], [1, 227, 341, 605, 955, 1075, 1433, 1613, 1787, 2011, 2263, 2681, 3017, 3395, 4699, 5093, 5287, 6265, 6599, 7049, 7931, 8353, 8471, 8923, 9899, 10039, 10427, 11137, 11731, 11897, 12707, 13385, 14849, 15059, 15641, 17597, 19061, 22589, 27805, 99999, 149999, 152047, 224999, 228071, 329167, 337499, 342107, 360407, 379687, 384871, 416603, 438889, 468679, 493751, 506249, 513161, 540611, 569531, 577307, 585185, 593173, 624905, 640723, 649471, 703019, 740627, 790897, 810917, 854297, 865961, 961085, 974207, 1054529, 1110941, 1461311, 1560493, 2080657, 2191967, 3287951, 4931927, 7397891, 11096837], [1, 5, 23, 31, 35, 47, 53, 61, 71, 91, 103, 107, 121, 137, 155, 161, 167, 175, 233, 251, 263, 283, 319, 325, 377, 395, 425, 433, 445, 479, 577, 587, 593, 661, 719, 881, 911, 1043, 1079, 1367, 1565, 1619, 2051, 2429, 3077, 11125, 11719, 14833, 15625, 17579, 19777, 26369], [1, 5, 11, 13, 17, 29, 77, 127, 169, 191, 205, 287, 431, 647, 901, 971, 1067, 1093, 1183, 1201, 1457, 1577, 1601, 1775, 2663, 2845, 3995, 4205, 4495, 5993, 6743, 7475, 10115, 11213, 15173, 19933, 66367, 88489, 99551, 106309, 122623, 141745, 149327, 183935, 188993, 223991, 275903, 314627, 335987, 413855, 471941, 503981, 516731, 581323, 620783, 653989, 775097, 839005, 871985, 931175, 1396763, 1571359, 2095145, 2357039, 2449687, 3266249, 3535559, 3674531, 4474693, 5303339, 5511797, 5966257, 6444571, 7250143, 7955009, 8592761, 9666857, 10322959, 10875215, 13763945, 15484439, 16312823, 22914029, 23226659, 24469235, 27157367, 34839989, 36703853, 40736051, 48279763, 57220459, 61104077, 64373017, 72419645, 85830689, 1220703125], [1, 5, 23, 35, 53, 61, 319, 325, 335, 425, 433, 479, 503, 577, 595, 719, 755, 793, 893, 911, 1079, 1133, 1367, 1619, 1879, 2051, 2429, 2819, 3077, 4229, 14075, 15835, 17815, 21113, 23753, 26723, 40085, 59311, 83311, 88967, 124967, 133451, 150133, 187451, 200177, 210883, 234047, 243247, 281177, 316325, 324329, 351071, 364871, 369851, 416083, 461791, 526607, 547307, 554777, 615721, 624125, 692687, 789911, 820961, 864877, 876683, 986269, 1039031, 1153169, 1184867, 1315025, 1558547, 1777301, 2337821, 12300469, 174940003, 207336299, 233253337, 262410005, 311004449, 491463819, 552896797, 737195729], [1, 5, 7, 11, 13, 17, 37, 43, 49, 65, 203, 229, 305, 541, 721, 961, 5125, 91007, 109333, 136511, 204767, 307151, 388739, 460727, 583109, 691091, 970741, 1036637, 1294321, 1725761, 3587227, 4035631, 4309535, 4602029, 5380841, 6053447, 6464303, 7661395, 9080171, 9696455, 10215193, 11492093, 12272077, 13620257, 14544683, 16362769, 19131877, 21817025, 25509169, 34012225, 45349633, 60466177, 80621569, 107495425, 143327233, 191102977, 254803969, 339738625, 452984833, 603979777, 805306369, 1073741825], [1, 5, 7, 11, 13, 17, 37, 131, 197, 1103, 1397, 1655, 2483, 3725, 6971, 7843, 10457, 11015, 11765, 16523, 18589, 24785, 117493, 371335, 495113, 557003, 626629, 835505, 1320301, 1760401, 2347201, 8345603, 12518405, 14836627, 22254941, 46891067, 52752451, 70336601, 79128677, 222298391, 263464759, 333447587, 351286345, 395197139, 500171381, 592795709, 1249018115, 1386232639, 1873527173, 2079348959, 2960635531, 3119023439, 3330714973, 3947514041, 4440953297, 4678535159, 7017802739, 7393240741, 9857654321, 10526704109], [1, 5, 23, 35, 53, 61, 103, 137, 155, 167, 175, 233, 251, 263, 283, 319, 325, 365, 377, 395, 425, 433, 445, 479, 577, 593, 719, 911, 959, 1079, 1367, 1439, 1619, 2051, 2159, 2429, 2557, 3077, 3239, 3409, 3893, 4859, 5467, 6151, 7289, 8201, 9227, 10381, 13841, 18181, 64643, 71743, 95657, 96965, 102151, 107615, 153227, 161423, 172381, 229841, 242135, 255085, 363203, 544805, 1360453, 1813937, 309578581, 412771441, 550361921, 3913684771, 5870527157, 58639059247, 78185412329, 83491941781, 87958588871, 111322589041, 123552256519, 131937883307, 148430118721, 173549397359, 185328384779, 197906824961, 208494432877, 260324096039, 277992577169, 308532261971, 365667866039, 390486144059, 439296912067, 462798392957, 548501799059, 585729216089, 650076206291, 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1874999999999, 2405422981829, 2812499999999, 4218749999999, 4276307523251, 6328124999999, 6414461284877, 7602324485779, 9492187499999, 11403486728669, 14238281249999, 18020324707031, 21357421874999, 27030487060547, 32036132812499, 40545730590821, 48054199218749], [1, 5, 23, 35, 53, 61, 71, 91, 103, 107, 121, 137, 155, 161, 167, 175, 233, 251, 263, 283, 319, 325, 377, 395, 425, 433, 445, 479, 577, 593, 719, 757, 911, 1079, 1367, 1619, 2051, 2429, 3077, 4037, 43061, 306211, 408281, 459317, 4354997, 11613325, 247750933, 330334577, 14094275285, 16704326263, 22272435017, 25056489395, 37584734093, 237572640181, 500564575195, 563135147095, 750846862793, 844702720643, 1267054080965, 6328124999995, 7119140624995, 8437499999993, 9492187499993, 9999999999991, 10678710937493, 14999999999987, 22499999999981], [1, 5, 11, 13, 17, 29, 77, 127, 169, 191, 205, 287, 431, 647, 901, 971, 1067, 1093, 1201, 1457, 1601, 2845, 3551, 5327, 6743, 7991, 10115, 11987, 15173, 17981, 37877, 239419, 269347, 359129, 404021, 851267, 896807, 1276901, 1345211, 1513363, 2017817, 2270045, 2391485, 6377293, 8503057, 11337409, 15116545, 20155393, 26873857, 35831809, 47775745, 63700993, 84934657, 113246209, 150994945, 201326593, 268435457], [1, 3, 5], [1, 5, 23, 35, 47, 53, 55, 61, 71, 73, 83, 91, 97, 103, 107, 121, 125, 137, 155, 161, 167, 175, 233, 251, 263, 283, 319, 325, 377, 395, 425, 433, 445, 479, 577, 593, 719, 859, 911, 919, 967, 1079, 1145, 1225, 1289, 1367, 1379, 1451, 1619, 1633, 2035, 2051, 2069, 2177, 2429, 3053, 3077, 3215, 4823, 7235, 8573, 10853, 22861, 29663, 42815, 44495, 50743, 56315, 60139, 63355, 64223, 66743, 67657, 71275, 76115, 80185, 84473, 90209, 95033, 96335, 100115, 106913, 114173, 121925, 144503, 150173, 216755, 316405, 325133, 999995, 1124995, 1499993, 1687493], [1, 5, 23, 35, 47, 53, 55, 61, 71, 83, 91, 103, 107, 121, 125, 137, 155, 161, 167, 175, 233, 251, 263, 283, 319, 325, 377, 395, 425, 433, 445, 479, 577, 593, 719, 911, 1079, 1367, 1619, 2051, 2429, 3077]]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(get_odd_collatz)
print('___SENTINEL___')
| d40574d7d0d467a10298774056a41751 |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-4
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-04, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[5]]
results = [[1, 5]]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(get_odd_collatz)
print('___SENTINEL___')
| c07ce82d91c733f88265155b95db1e04 |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-6
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-07, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [['03-11-2000'], ['15-01-2012'], ['04-0-2040'], ['06-04-2020'], ['01-01-2007'], ['03-32-2011'], [''], ['04-31-3000'], ['06-06-2005'], ['21-31-2000'], ['04-12-2003'], ['04122003'], ['20030412'], ['2003-04'], ['2003-04-12'], ['04-2003'], ['12-31-1999'], ['02-29-2021'], ['04-31-2022'], ['11-31-2023'], ['00-01-2000'], ['13-01-2000'], ['01-00-2000'], ['01-32-2000'], ['02-30-2000'], ['06-04-202'], ['01-000-2000'], ['04-31-022'], ['04-2022'], ['01-00-20000'], ['01-32-20000'], ['13-01-20'], ['11-3104-202223'], ['01-32-01-000-200020000'], ['02-29-204-31-202221'], ['044-2022'], ['11-11-31-20233104-213-01-2002223'], ['02-230-2000'], ['011-3104-2022231-32-01-000-200020000'], ['11-43104-3202223'], ['04-01-00-20001-20'], ['192-31-1999'], ['01-32-01-0006-04-2020-200020000'], ['010-32-2000'], ['002'], ['13-031-20000'], ['02-29-204-31-202-29-202102221'], ['11-311-2023'], ['0202'], ['04-01-01-000-200000-20001-20'], ['192-31--1999'], ['192-31011-3104-2022231-32-01-000-200020000--19919'], ['013-04-01-00-20001-20031-20000202'], ['-04-2022'], ['11-31011-3104-2022231-32-01-000-2000200002223'], ['04-01-32-2000031-2022'], ['-11-431204-3202223'], ['13-031-2001-32-001-32-01-0006-04-2020-2000200001-0006-04-2020-200020000000'], ['000-01-2000'], ['04-31022'], ['11-3120212-31-19993'], ['02-29-204-310-202-29-202102221'], ['04-01-032-2000031-2022'], ['192-1999'], ['11-31011-3104-2022231-32-01-000-2000200002212-31-199923'], ['11-02-230-20003120212-31-19993'], ['11-13-01-202023'], ['02-2330-2000'], ['01-000-202-2330-2000'], ['01-04-2022-32-2000'], ['11-3101-32-200004-202223'], ['01-32-000'], ['11-311-3'], ['02213-01-2000'], ['011-431004-3044-202220192-1999222302'], ['11-02-230-20003120212-31-219993'], ['00-0113-01-20-2000'], ['02-229-2021'], ['04-01-01-0011-11-31-20233104-213-01-20022230-200000-20001-20'], ['013-04-01-00-20001-20031-2000020201-00-2000'], ['02-230-200'], ['011-3104-2022231-32-01-000-202213-01-2000020000'], ['101-00-20000'], ['11-219993'], ['00-0113-01-201-32-200002000'], ['02-230-20000'], ['11-11-31-2000-0113-01-20-20003-01-2002223'], ['11-02-230-220003120212-31-19993'], ['00202'], ['-04-310222'], ['02-29-204-31-11-311-302-29-202102221'], ['04-01-01-0011-11-31-20233104-213-01-20022230-200000-20001-'], ['04-004-31-20221-32-2000031-2022'], ['13-031-2000000-0113-01-201-32-200002000'], ['04-01-01-0011-11-31-20233104-213-0101-00-2000001-'], ['01-32-0000'], ['11-31011-3104-2022231-32-01-000-'], ['04-31-20-22'], ['02-29-2020'], ['13-01-2020'], ['04-31-2020'], ['02-30-2020'], ['2020-06-04'], ['06/04/2020'], ['2020-06--04'], ['2020-06-042020-06--04'], ['2020-04'], ['02-30-06/04/20202020'], ['202020-06-042020-06--04201-00-20000-06--04'], ['04-02-29-202131-2020'], ['01-00-20002020-06--02-30-06/04/2020202004'], ['02-30-06/042/20202020'], ['26020-06-042020-06--04'], ['04-313-01-20201-2020'], ['13-01-21020'], ['02-30-06/042/20202006/04/202020'], ['02-29-202-02-29-20201'], ['02-3004-02-29-202131-2020-06/04/20202020'], ['02020-06-042020-06--041-00-2000'], ['04-02-29-202020-06-042131-2020'], ['2020-0413-01-21020'], ['20020-06-042020-06--04'], ['02-3004-02-29-202131-20202002-30-06/042/20202006/04/20202006/04/20202020'], ['020-30-06/042/2002-29-2021202020'], ['02020-06-042020-06-02-30-06/042/20202020-041-00-2000'], ['26020-02020-0413-01-210204'], ['04-02-29-2-2020'], ['02-3004-02-29-202131-/20202002-30-06/042/20202006/04/20202006/04/20202020'], ['260202-06-042020-06--04'], ['01-00-20002020-0602-29-2020--02-30-06/04/2020202004'], ['04-04-02-29-202131-202020'], ['02-30-06/04202020'], ['02-30-06/042/20020'], ['202-3004-02-29-202131-20202002-30-06/042/20202006/04/20202006/04/20202020020-06--04'], ['26020-02020-04131-210204'], ['WXDu'], ['20202-30-06/042020200-WXDu04'], ['26020-06-0420206-06--04'], ['02-30-06/2020'], ['W02-3004-02-29-202131-20202002-30-06/042/20202006/04/20202006/04/20202020XDu'], ['02-2-202-02-29-20201'], ['04-02-292-202131-2020'], ['01-00-20002020-04-02-29-2-202006--02-30-06/04/2020202004'], ['20020-06-02-3004-02-29-20213104-04-02-29-202131-2020202020202042020-06--04'], ['00-010-2000'], ['20020-06-042020-06-04-31-2020-04'], ['20202-30-06/0420202000-WXDu04'], ['020-30-06/042/20004-04-02-29-202131-202020020'], ['W02-30020202-30-06/0420202000-WXDu044-02-29-202131-20202002-30-06/042/20202006/04/20202006/04/20202020XDu'], ['02-3004-02-29-2002131-2020-06/04/202020'], ['2020-06-044'], ['202020-06-042020-06--0420020-06-042020-06-04-31-2020-04201-00-20000-06--04'], ['02-30-026/042/20020'], ['021-32-26020-06-042020-06--042000'], ['2020-2020-06-042020-06--0404'], ['20202-30-06/04202WXDu04'], ['20020-04'], ['01-00-20002020-0602-29-2020--02-30-06/024/2020202004'], ['02-29-2020-0413-01-210200'], ['020-30-06/042/2002-2-2021202020'], ['2020-2020-06-042020-06--00404'], ['04-31-2002-30-026/042/2002020'], ['04-04-02-29-231-202020'], ['02-30-206/042/20020'], ['02-30-06/202004-313-01-20201-2020'], ['04-31-2002-42/2002020'], ['02-30-026/0420202-30-06/0420202000-WXDu042/20020'], ['26020-06-04202001-00-20002020-0602-29-2020--02-30-06/04/20202020046-06--04'], ['02020-2020-2020-06-042020-06--040402-30-06/042/20202020-041-00-2000'], ['06/04/20020'], ['02-29-202-020020-06-042020-06--042-29-20201'], ['02-3004-02-29-202131-2020-06/04/2020202002-30-206/042/20020'], ['04-31-200'], ['02020-2020-2020-06-042020-06--040406-0422020-06-02-30-06/042/20202020-041-00-2000'], ['020-30-062/042/2002-2-2021202020'], ['02020-0413-01-21020-30-026/042/202002-3004-02-29-202131-2020-06/04/2020202002-30-206/042/20020-30-06/042/2002-29-202120202020'], ['04-02-29-2-W02-3004-02-29-202131-20202002-30-06/042/20202006/04/20202006/04/20202020XDu2020'], ['02-230-206/042/20020'], ['02-30-06/042/202020'], ['02-3004-02-29-202131-2020-06/04/2020202002-30-206/042/2/0020'], ['13-01-21002-3004-02-29-202131-2020-06/04/2020202002-30-206/0/2002020'], ['02-30-06/042/2002'], ['02-3004-02-29-202131-/20202002-30-06/042/20202000'], ['04-02260202-06-042020-06--04-292-2021301-2020'], ['20020-004-02260202-06-042020-06--04-292-2021301-20204'], ['01-00-2000/2020202004'], ['00-01-220020-06-042020-06--040000'], ['02-3004-02-29-202131-2020-06/004/2020202002-30-206/042/20020'], ['02-2020-30-06/042/20004-04-02-29-202131-2020200209-2020'], ['2020-06--13-01-2102004'], ['e'], ['04-02-292-20213104-02260202-06-042020-06--04-292-2021301-2020-2020'], ['2002020-06-042020-06--04201-00-20000-06--02-3004-02-29-202131-2020-06/04/2020202004'], ['02020-040-01-2000'], ['02-02-29-20202-041WXDu3-01-21020029-2021'], ['202020-06-042020-06--0420020-06-042020-06-204-31-2020-04201-00-20000-06--04'], ['20020-06-042020--06-04-02-292-2020-06--04202131-2020-04'], ['04-02-29-2021302020-0409-01-20001-2020'], ['020020-06-02-3004-02-29-20213104-04-02-29-202131-2020202020202042020-06--040-01-220020-06-042020-06--040000'], ['00-01-220020-06-0420020-06--040000'], ['01-00-20002020-04-02-29-2-202006--02-30-06/04/2020'], ['04-026020-06-0420206-06--042260202-06-042020-06--04-292-2021301-2020'], ['02-30-206/042/2002-30-026/0420202-30-06/0420202000-WXDu042/20020020'], ['0020-30-062/042/2002-2-2001-00-20002020-0602-29-2020--02-30-06/024/202020200421202020'], ['020-30-062/042/2002-2-06/04/20202021202020'], ['06/004/20002-30-06/042/2020202020'], ['020-30-062/042/2002-2-06/04/20202021200'], ['13-01-21002-3004-02-29-202131-2020-06/04/2020202002-30-206/0/02-30-06/202004-313-01-20201-20202002020'], ['02-30-206/042/2002-30-026/0420202-30-006/0420202000-WXDu042/20020020'], ['20202-30-06/0422020200-WXDu04'], ['202-3004-02-29-202131-26020-06-0420206-06--04'], ['02020-0413-01-21020-30-026/042/202002-3004-02-29-202131-2020-06/04/2020202002-30-206/042/20020-30-06/04020'], ['02-30-02/20020'], ['2020-06--133-01-2102004'], ['04-02-2-2020'], ['0WXDu6/042/20020'], ['06020-30-062/042/2002-2-2021202020/04/2020'], ['20202-30-06/04202220020-040200-WXDu04'], ['020-30-062/042/2002-2-06/04/2020202'], ['20020-06-042020-606--04'], ['02-30-26020-02020-04131-21020406/04/20202020'], ['2020-06020-30-062/042/2002-2-06/04/20202021202020-044'], ['13-01-22020'], ['W02-3004-02-29-202131-20021-32-26020-06-042020-06--042000202002-30-06/042/20202006/04/20202006/04/20202020XDu'], ['020-30-06/042020-06--13-01-210200420004-04-02-29-202131-202020020'], ['02-29-202-020020-06-042020-06--002-30-026/0420202-30-06/0420202000-WXDu042/2002042-29-20201'], ['02020-2020-2020-06-042020-06--040406-0422020-06-02-30-06/042/20202020-02-30-206/042/20020041-00-2000'], ['202020-06-042020-06--0420020-06-042020-06-204-3-00-20000-06--04'], ['02-30-026/042/2002-30-06/042/202020200'], ['04-0402-30-206/042/2002-30-026/0420202-30-006/0420202000-WXDu042/20020020-02-29-202131-202020'], ['01-32-200'], ['00-01-220020-06-04200200-06--040000'], ['020-30-062/042/2002-2-06/04/2020202202020'], ['02-3004-02-29-202131-20/202002-30-06/042/20202006/04/20202006/04/20202020'], ['02-2020-30-06/042/20004-04-02-29-020-30-06/042/20004-04-02-29-202131-202020020202131-2020200209-2020'], ['02-29-22020-0413-01-210200'], ['02-30-206/042/2002-30-026/0420202-30-002020-2020-2020-06-042020-06--040402-30-06/042/20202020-041-00-200006/0420202000-WXDu042/20020020'], ['02020-0413-01-21020-30-026/042/202002-3004-02-29-202131-2020-06/04/20202020004-31-2002-30-026/042/20020202-30-206/042/20020-30-06/04020'], ['ee'], ['13-01-202020-040-01-20001020'], ['02-30-206/042/2002-30-026/0420202-30-06/0420202000-WXDu040020020'], ['02-30-206/042/2002-30-026/04202020-06--0420'], ['02-30-231-21020406/04/20202020'], ['2020-06020-32/042/2002-2-06/04/20202021202020-044'], ['13-01-21020-30-062/042/2002-2-06/04/20202021200020'], ['02-3004-02-29-2002131-04-31-2002-42/20020202020-06/04/202020'], ['06/004/20002-30-06/04/2/2020202020'], ['02-30-026/042/2-0020'], ['06/004/20002-30-06/042/202/0202020'], ['040-3102-30-206/042/20020-20200'], ['20020'], 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['001-2113-0001-00-20002-29-202100-011-204-31-202020200022020-06-04-1-00-200042-29-202100-202104-31-2020'], ['044-03200-001-2000020'], ['04-31-01-00101-00-2000-1-00-2-29-2001-00-20002100'], ['01010-9000-20002-29-22021'], ['02-229-22'], ['02-30-00-01-20022020'], ['13-01-2001-00-200000-2000-011-204-31-20201-0010-900-20002-29-202100-2000101-00-200022020-06-04-1-00-20002-29-202100-202104-31-20202-29-2021suMUV04-032020JWuK31020020'], ['02-2901-2020-20200-01-20000'], ['1301-00-2000-12-00-20002-29-202010-01002-29-2021-0'], ['00-0104-31-22020-2000'], ['02--201-32-2002019-2020'], ['00-1-00-020013-0101002-13-01-2020-202101-0010-900-20002-29-202100-200010-00-200-02-29-20210-0020102-291'], ['101-001-20'], ['-02-301304-31-01-00101-00-2000-1-00-420002-290-002-29-2001-00-200-01-2020-020'], ['00-011-2004-001-001-20-000-1-00-20002-29-22000-011-2204-31-20201-000-20210001-00-20031-2020'], ['001-2113-0001-00-20002-29-202100-011-204-31-202020200022020-06-01-00-20002-29-202100-202104-31-2020'], ['004-3-1-222020-000-011-204-31-20206--04'], ['02-2291-221113-0201'], ['20'], ['06001-00-20002-29-2022020'], ['002-29-202'], ['02-3013-01-02-0-013-01--01-2002020'], ['04-02020060/04/20200-06-043200'], ['01-000-2000-1-00-2000000'], ['01-00-200000-20002-29-202106/01-001-2004/20202-29-20200-01-2000000'], ['04-31-01-00101-00-2000-1-00-420001-202002-290-002-29-2001-00-200'], ['01-0201-20-000-1113-0001-00-20002-29-202100-011-204-31-202020-00-20001-00-2000-1-00-2OzTzOoYWSE04-31-01-00101-00-2000-1-00-420002-290-002-29-2001-00-2000000002-29-2001-00-2000210'], ['02-302113-0001-00-20002-02100-0102-30-00-01-2000220201-204-31-2020230200022020-06-04-1-00-20002-29-202100-20210-00-01-20002020'], ['00-2000-011-204-31-20201-0010-900-20002-29-202100-2000101-00-200022020-001-32-suMU3V04-03K00002-29-2016-04-1-00-20002-29-202100-202104-31-2020'], ['001-00-20002-29-202100610201-0010-900-20002-29-202100-2000101-00-2020-06-04-20210202-29-20210-0-11-204-31-2020'], ['00-000-011-20-204-'], ['suMU3V04-032J2020JWuK'], ['001-001-20000-1-00-20002-29-2001-00--20002100-000-011-204-31-202001-3-2-200011-204-'], ['01-3-2-20-001-3-2-2000-01-200000'], ['13-001-3200-000-011-204-31-202001-3-210011-204-0001-01-0010-900-20002-29-202100-20011-32-2000-01-2000000010-00-20002-29-20210-0'], ['02-209-20200-01-20000'], ['02-3013-01-020-013-01--01-200202002-201-312-2002019-2020'], ['113-0001-00-200020-011-204-31-202020'], ['01-3200000'], ['01-00-2000-29-20210'], ['001-2113-0001-00-20002-29-202100-011-204-31-202020200-022020-06-04-1-00-20002-29-202100-202104-31-2020'], ['001-00-202-29-202100610201-0010-900-20002-29-202100-2000101-00-2020-06-031-2020'], ['00-000-011-204-331-202001--3-2-200011-204-'], ['00-0110610301-3-2-20001-3-2-2000-01-20002-29-2021000002-113-02029-2021-201-3-2-200004-31-2020'], ['02-29-2020001-001-20-000-1-00-20002-29-22000-011-204-31-20201-01010202100-20210001-00-200'], ['00000'], ['113301-00-2000-0suMUV04-032020JuuK'], ['101-001-206'], ['uYvOcbMv'], ['1133-'], ['101-3-2-20001-3-2-20003-001-32-20-0002-29-20206/04/20202-29-20200-01-200000000-011061002-29-2021-202-3013-01-2020-02001-3-2-200004-31-202001--0']]
results = [True, False, False, True, True, False, False, False, True, False, True, False, False, False, False, False, True, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(valid_date)
print('___SENTINEL___')
| 119ef12dc388b78480b782d7f8f26f45 |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-4
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-04, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [['03-11-2000'], ['15-01-2012'], ['04-0-2040'], ['06-04-2020'], ['06/04/2020']]
results = [True, False, False, True, False]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(valid_date)
print('___SENTINEL___')
| f30e3a602aa34b30576532329958f383 |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-6
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-07, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [['Hello world!'], ['Hello,world!'], ['Hello world,!'], ['Hello,Hello,world !'], ['abcdef'], ['aaabb'], ['aaaBb'], [''], ['Hello?'], ['abc deg'], ['aaa,bbb'], ['Hello World!'], ['123,456'], ['abc123'], ['Hello , world !'], ['apple, banana, orange, grapefruit'], ['1234'], ['HELLO WORLD'], ['aabc123'], ['Hellabc123o , world !'], ['HELLOHELLO WORLD WOORLD'], ['g'], ['aaabc123'], ['Hello ,Hello? world !'], ['Hello dWorlld!'], ['Hello WdWorlld!'], ['abc de'], ['aabc123Hello World!'], ['abcd de'], ['2aaabc123'], ['abcHELLOHELLO WOORLD WOORLD de'], ['abcHello World! deg'], ['NDcwhK'], ['abca123'], ['abcHELLOHELLO WRLD de'], ['Helalabc123o , world !'], ['dabcd de'], ['ab cd deg'], ['abcHELLOHELLO WRabcHELLOHELLO WOORLD WOORLD deLD de'], ['NDcwK'], ['Hello ,Hello? rld !'], ['Hello , world Hello , world !!'], ['Helalabc123o , bworld !'], ['HELLOHello , world !HELLO WORLD WOOLRLD'], ['abcabc a123'], ['abcHello , deworabcd dded a123'], ['Hello ,Helaabc123lo? rld !'], ['ababc123'], ['12344'], ['H!ello WdWorlld!'], ['Heab cd deglled 1234'], ['aaabc123aabc123Hello World!'], ['dabcd aaabc123aabc123Hello World!e'], ['oHelldHelled !'], ['abc g'], ['Hello ,Hello? rlaabc123c d !'], ['abcHELLOHELLO WRLLD dee'], ['abce deg'], ['Hello , worHelled ld !'], ['aaa3bc123'], ['Helalabc123o , bworldNDcwhK!'], ['aabc12abc1233'], ['ab cd degab cd deg'], ['Hello , world HellHello , eworabcd deHello2aaabc123 , world !d o , world !!'], ['ab cdg deg'], ['aObcLHELLOHELLO WRLD de'], ['aObcLHELLOHELLOHELLO WORLD WOORLDHELLO WRLD de'], ['HelloHello ,Helaabc123lo? rld ! ,Hello? world Hello ,Hello? rlaabc123c d !!'], ['Heab cabcHello World! degd deglled 1234'], ['14'], ['zAMobwxrx'], ['HHelblo ,Helaabc123lo? rl'], ['HELLOD'], ['ab cd cdeg'], ['abcHello Worlld! deg'], ['abcHello , deworabcd dHello , worHelled ld !ded a123'], ['ab cdg deg12344'], ['gg'], ['aaa,bb'], ['Hello , woapple, banana, orange, grapefruitrld Hello , world !!'], ['zAMorx'], ['Hello , world HellHello ,d !d o , world !!'], ['HOHello , world !HELLO WORLD WOOLRLD'], ['NHello , world Hello , world !!DcwhK'], ['Hello ,Hello? waaa,bborld !'], ['HHelblo ,Helaabc123lo? rlabcHello Worlld! deg'], ['Hello , w orld Hello , world !!'], ['aObcLOHELLO HELLOHELLO WORLD WOORLDHELLO WRLaabc123D de'], ['oHeHlldHelled !'], ['dabcd aaabc123aabab cdg deg12344c123Hello World!e'], ['aaab cdg deg12344a,bbb'], ['NDcwhwK'], ['ab ecd degab cd deg'], ['Python 3.9.7 (default, Sep 26 2021, 08:14:53) [MSC v.1916 64 bit (AMD64)] \n'], ['Testing with spaces, commas and odd-order lowercase letters like a, bdf, hjklp'], ['Testing error handling when None is passed as the input parameter'], ['A nice list of words like antidisestablishmentarianism, pneumonoultramicroscopicsilicovolcanoconiosis, floccinaucinihilipilification, supercalifragilisticexpialidocious'], ['A mix of spaces and commas like this,should split as,words,and numbers like 12345,67890'], ['This text contains no whitespaces but has commas,a period, and odd-order lowercase letters such as bd, fhhj, and nprtvxz'], ['This also has no whitespaces, but only has commas like, this, and, that, so we should split on commas'], ['A normal sentence with whitespaces and no commas'], ['ABCDEFG'], ['k'], ['A normal sentence with whitespaces and noommas'], ['should'], ['A nice list of words like antidisestablishmentarianism, pneumonoultramicroscopicsilicovolcanoconiosis, floccinaucinihilipilificateion, supercalifragilisticexpialidocious'], ['eZWOsSCmTx'], ['so'], ['Testing erros the input parameter'], ['supercalifragilisticexpialidocious64'], ['kk'], ['wOWbbX'], ['normal'], ['v!mll!d'], ['A nice list of words like antidisestablishmentarianism, pneumonoultramicroscopicsilicovolcanoconiosis, floccinaucinihilipilificateion,p supercalifragilisticexpialidocious'], ['handling'], ['only'], ['supercalifragilisticexpiali12345,67890cious'], ['like'], ['errsos'], ['Testing with spacsupercalifragilisticexpiali12345,67890ciouses, commas and odd-order lowercase letters like a, bdf, hjklp'], ['A mix of spaces and commas like this,should split as,words,and numbersthhis, like 12345,678900'], ['A mix of antidisestatheblishmentarianism,0'], ['A mix of spaces and commas like this,should split as,word s,and numbers like 12345,67890'], ['A mix of spaces and commas like thids,should split as,word s,and numbers like 12345,67890'], ['commas,a'], ['as,words,,a'], ['trrf.vph'], ['this,should'], ['sentence'], ['such'], ['None'], ['jp'], ['A nice luist of words like antidisestablishmentarianism, pneumonoultramicroscopicsilicovolcanoconiosis, floccificateion, supercalifragilisticexpialidolcious'], ['jpnormal'], ['A mix of spacesk and commas like this,should split as,words,and numbers like 12345,67890'], ['A nice list of words like antidisestablishmentarianism, pneumonoultramicroscopicsilicovolcanoconsiosis, floccinaucinihilipilificateion,p supercalifragilisticexpialidocious'], ['of'], ['A normal sentence with whitespacpes and noommas'], ['onlyed!vhllxblxyqv'], ['dz.olhjcymqpz,wnfx;lz.iwrohveybkgts.feaasfbyb,k'], ['A nice list of words like antidisestablishmentarianism, pneumonoultramicroscopicsiilicovolcanoconiosis, floccinaucinihilipilificateion, supercalifragilisticexpialidocious'], ['Testing'], ['text'], ['supercalifragilisticexpiali12345,67890ciousA normal sentence with whitespaces and noommas'], ['A mix of spacesk and cohould split as,words,and numbers like 12345,67890'], ['o'], ['seisntence'], ['commas'], ['A'], ['aUTtCDfe'], ['Tesrameter'], ['onlyedjp!vhllxblxyqv'], ['jwzfxwpfxyqkiaUTtCDfe'], ['normabitl'], ['pniceasssantidisestatheblishmentarianism,0ed'], ['A normal sentences with whitespaces and noommas'], ['Sep'], ['supercalifragilisticexpiali1esd;2345,67890cious'], ['aUTtCaeDfe'], ['aalalsoso'], ['whitespacpes'], ['with'], ['ek!m,rkk'], ['onlyed!lowercasevhllxblxyqv'], ['A mix of spacesk and cohould split as,words,and numbers,67890'], ['A nice list of words lipneumonoultramicroscopicsilicovolcanoconiosis, floccinaucinihilipilification, supercalifragilisticexpialidocious'], ['spaces'], ['on'], ['llike'], ['supercalifragilistiicexpiali1esd;2345,67890cious'], ['passed'], ['sentences'], ['A nice list of words like antidisestablishmentaroianism, pneumonoultramicroscopicsilicovolcanoconsiosis, floccinaucinihilipilificateion,p supercalifragilisticexpialidocious'], ['A normal sentence w3.9.7ith whitespaces and noommas'], ['hanhdlA normal sentence with whitespaces and no floccinaucinihilipilificateion,commasing'], ['bA'], ['A niA normal sentence with whitespaces and noommasce list of words like antidisestablishmentarianism, pneumonoultramicroscopicsilicovolcanoconsiosis, floccinaucinihilipilificateion,p supercalifragilisticexpialidocious'], ['noommas'], ['luiist'], ['hjklpzryebaproyqtmq.'], ['sh(defaultas,words,and,oulsupercalifragilisticexpiali1esd;2345,67890ciousd'], ['hsUoS'], ['input'], ['A normal hsUoSsentence with whitespacpes and noommas'], ['noommasce'], ['A mix of spacesk and cohould split as,words,and numbers,67890th'], ['sspaces'], ['Testing error handling when None is prassed as the input parameter'], ['also'], ['Python 3.9.7 (default, Sep 26 2021, 08:14:53) [MSC v.1916 64 bit (AMD64)]numbersthhis, \n'], ['A normal sentence with whtitespaces and no commas'], ['mix'], ['A mix of spacesk and cohould split as,words,and numbers,u67890'], ['iunput'], ['A mix of spacesk and cohould split as,hjklpwords,and numbers,67890'], ['oweA'], ['A mix of spaces and commas like this,should split as,words,and numbers like 12345,67890text'], ['Python 3.9.7 (default, Sep 26 2021, 08:14:53) [MSC v.191v6 64 bit (AMD64)] \n'], ['mplizuvx;pz'], ['supercalifragilisticexpialidolcious'], ['GSG'], ['es'], ['A nice list of words like antidisestabclishmentarianism, pneumonoultramicroscopicsiilicovolcanoconiosis, floccinaucinihilipilificateion, supercalifragilisticexpialidocious'], ['A mix of spacesk and cohould split as,hjklpwords,and numbers,6A normal sentence with whtitespaces and no commas7890'], ['supercalifragilisticexpialidocus64'], ['Nonee!m,r'], ['supercalifragilisticexpiali1esd;2345,67890cioubits'], ['antThis'], ['no'], ['A mix of spaces and commas like this,shoulld split as,words,and numbers like 12345,67890'], ['(AMD64)supercalifragilisticexpiali1esd;2345,67890cioubits]'], ['sentencne'], ['aalso'], ['d'], ['onlyedjp!vspacesxblxyqv'], ['26'], ['As mix of antidisestatheblishmentarianism,0'], ['floccinaucinihilipilificateion,p'], ['A nice list of words like antidisestablishmentarianism, pneumonoultramicroscopicsilicovolcanoconsiosis, floccinaucinihilipilificateion,phanhdlAidocious'], ['wen'], ['This text contains no whitespaces but has commas,a period, and odd-orspacesc,der lowercase letters such as bd, fhhj, and nprtvxz'], ['antidisestatheblishmentarianism,0'], ['lowercasek'], ['luist'], ['A nice list of words like antidisestablishmentarianism, pneumonoultramicroscopicsilicovolcanoconsiosis, floccinaucinihilipilificateion,p supercalifragilisticexpialidthxdkazwhvui,ocious'], ['spacesc,supercalifragilisticexpialidocious'], ['floccinaucinihiilion,p'], ['A mix of spaces and commas like this,shoulld split as,words,ers like 12345,67890'], ['A nice list of words like antidisestablishmentarianism, pneumonousltramicroscopicsilicovolcanoconsniosis, floccinaucinihilipilificateion,phanhdlAidocious'], ['A mix of spaces and commas like this,should split as,words,and n,umbersthhis, like 12345,678900'], ['noommamms'], ['eA'], ['niA'], ['jwzfxwpfxyqkiaUTtCkDfe'], ['A mix of spacesk and cohould split as,ds,and numbers,6A normal sentence with whtitespaces and no commas7890'], ['08:14:53)'], ['jgKFmqluVX'], ['anti'], ['jnormal'], ['ants'], ['comA normal hsUoSsentence with whitespacpes and noommasmas,a'], ['As'], ['onlyed!vhllxblxycomA normal hsUoSsentence with whitespacpes and noommasmas,aqvv'], ['sentencnne'], ['Testing error handling when None is prasseed as the input parasentencnnemeter'], ['hanhdlA normial sentence with whitespaces and no floccinaucinihilipilificateion,commasing'], ['A nice list of words laucinihilipilificateion, supercalifragilisticexpialidocious'], ['hanhdlA normilal sentence with whitespaces and no floccinaucinihilipilificateion,commasing'], ['we'], ['aUTtCDe'], ['fFQFb'], ['supercalifragilisticexpi ali12345,67890ciousA normal sentence with whitespaces and noommas'], ['commasA mix of spaces and commas like this,shoulld split as,words,ers like 12345,67890,a'], ['tetxt'], ['wiiwth'], ['aajwzfxwpfxyqkiaUTtCDfelso'], ['andTesting with spacsupercalifragilisticexpiali12345,67890ciouses, commas and odd-order lowercase letters like a, bdf, hjklp'], ['luiiust'], ['nlbormal'], ['parameter'], ['noommamsms'], ['antidianism,0'], ['words'], ['antidim,0'], ['o3.9.7nTesrameterly'], ['[MSC'], ['08:1:53)'], ['this,ishouldno'], ['normaaal'], ['hanhdlA normial sentence with whitespaces and no floccinaucinihilipilificateion,commasingf'], ['v!mll!md'], ['whtitespaces'], ['A nice list of words like antidisestablishmentarianism, pneumonoultr amicroscopicsilicovolcanoconsiosis, floificateion,phanhdlAidocious'], ['hanhdlA normal sentence with whitespaces and no floccinaucinihilipilificateion,cosing'], ['A nice list of words laucinihilipilificateion, supercalifragilisiticexpialidocious'], ['sentencesas,words,and'], ['(AMD64)supercalifragilisticexpiali1esd;2345,67x890cioubits]'], ['supercalifragilisticexpiali12345,67890ciousA'], ['ttetxt'], ['floccinaucinihilnipilificateion,commasing'], ['aUTtCaeDf12345,6antThis7890texte'], ['whtitespasaces'], ['nbormal'], ['cohould'], ['this,shoulld'], ['like,None'], ['flo2021,ccinaucinihilipilificateion,p'], ['uflo2021,ccinaucinihilipilificateion,p'], ['A normal sentencPython 3.9.7 (default, Sep 26 2021, 08:14:53) [MSC v.1916 64 bit (AMD64)]numbersthhis, \ne with whtitespaces and no commas'], ['A normal hsUoSsentence with whitespacpletterses aantindisestablishmentarianoism,nd'], ['jgKaantindisestablishmentarieanoism,ndFmqluVX'], ['llikbA normal sentence with whitespacpes and noommasdf,e'], ['parameeter'], ['pneumonoultr'], ['A nice list ofo words like antidisestablishmentaroianism, pneumonoultramicroscopicsilicovolcanoconsiosis, floccinaucinihilipilificateion,p supercalifragilisticexpialidocious'], ['A mix of spacesk and cohould split as,hjklpwords,and snumbers,6A normal sentence with whtitespaces and no cosmmas7890'], ['A nice list of words like antidisestablishmentarianism, pneumonoultramicroscopicsilicovolcanoconiosis, floccinauA mix of spacesk and cohould split as,hjklpwords,and numbers,67890cinihilipilification, supercalifragilisticexpialidocious'], ['floccinaucinihilipilificateion,commasingf'], ['hanhdlA'], ['supercalifragias,ds,andlisticexpialidolcious'], ['Testing with spaceanA mix of spacesk and cohould split as,ds,and numbers,6A nbormal sentence with whtitespaces and no commas7890d,s, commas and odd-order lowercase letters like a, bdf, hjklp'], ['noommaswOWbbXmas,a'], ['cmomamas'], ['hanhdlA normal sentence with whitespaces and no floccinaucinihilipilificateion,cosinges'], ['Python 3.9.7 (default, Sep 26 2021, 08:14:53) [MSC v.1916 64 bit (AMD64)]numbgqersthhis, \n'], ['whitespaces'], ['64'], ['Python'], ['A mix of spaceswithds,a90th'], ['prasseed'], ['normabishouldtl'], ['Python 3.9.7 (defaultA nice list of words like antidisestablishmentarianism, pneumonoultramicroscopicsilicovolcanoconiosis, floccinaucinihilipilificateion,p supercalifragilisticexpialidocious, Sep 26 2021, 08:14:53) [MSC v.191v6 64 bit (AMD64)] \n'], ['A nice list of words like antidisestabclishmentarianism, pneumonoultramicroscspaceskon, supercalifragilisticexpialidocious'], ['tluitst'], ['hjyklpzryebaproyqtmq.'], ['Python 3.9.7 (default, Sep 26 2021, 08:14:53) [MSC v.1916 64 bit (AMD64)]numbA nice list of words like antidisestablishmentaroianism, pneumonoultramicroscopicsilicovolcanoconsiosis, floccinaucinihilipilificateion,p supercalifragilisticexpialidociousersthhis, \n'], ['texxt'], ['A nice list of words like antidisestablishmentarianism, pneumonousltramicroscopicsilicovolcanoconsniosis, floccinaucinihilipilificateion,phanhdlAdocious'], ['s,A mix of spaces and commas like this,should split as,words,and numbers like 12345,67890textnd'], ['and,only'], ['A mix of spaceshanhdlA normal sentence with whitespaces and no floccinaucinihilipilificateion,cosing and commas like this,sho uld split as,words,and n,umbersthhis, like 12345,678900'], ['0s,A mix of spaces and commas like this,should split as,words,and numbers like 12345,67890textnd8:1:53)'], ['jwzfxwpfxysupercalifragilistiicexpiali1esd;2345,67890ciousqkiaUTtCDfe'], ['A nice list of words like antidisestablishmentarianism, pneumonousltramicroscopicsilicovolcanoconsniosis, floccinaucinihilipilificateionospacesnthxdkazwhvui,antidisestNoneablishmentaroianism,,phanhdlAdocious'], ['numbers'], ['sentencpneumonoultrnamicroscopicsilicovolcainoconsiosis,e'], ['spaceswithds,a90th'], ['uld'], ['A mix of spacesk and cohould split as,hjklpwords,and snumbers,6A normal sentencspacese with whtitespaces and no cosmmas7890'], ['mnumbers'], ['hanhdlA normal sentence with whitespaces and no floccinaucinihilipilificateion,commasingos'], ['v.191v6'], ['sh(defaultas,words,and,oulsupercalifragilisticexpionlyed!lowercasevhllxblxyqvali1esd;2345,67890ciousd'], ['owenweA'], ['aUUTtCDDfe'], ['supercalifragilistiicexpiali1esd;2345,67aUTtCDfeus'], ['cohoul'], ['hanmhdlA normial sentence with whitespaces and no floccinaucinihilipilificateion,commasingf'], ['Pythnlbormalon'], ['cmomams'], ['s,and'], ['eZWOhasSCSmTx'], ['noommasmas,aqvv'], ['whitejwzfxwpfxyqkiaUTtCkDfespaces'], ['A normal sentence with whitespacpes andamicroscopicsilicovolcanoconsiosis, noommas'], ['supercalifragilisticexpi'], ['erros'], ['A nice luist of words like antidisestablishmentarianism, pneumonoultramicroscopicsilicovolcanoconiosis, flocciantThisficateion, supercalifragilisticexpialidolcious'], ['odd-order'], ['08:14:53s,A)'], ['supercalifragilisticexpiali1esd;2345,67890A nice list of words lipneumonoultramicroscopicsilicovolcanoconiosis, floccinaucinihilipilification, supercalifragilisticexpialidociouscioubits'], ['hanhdlA normial sentence with whitespaces and no floccinaucinihilipilificateion,commasingfNone'], ['A nice list of words like antidisestaxpialidocious'], ['hanhdlA normial sentence with whitespaAces and no floccinaucinihilipilificateion,commasing'], ['A nice list of words like antidisestablishmentarianism, pneumonoultramicroscopicsilicovolcanoconiosis, floccinaucinihilipilificateion, supercalifragilisticexpialideocious'], ['aUTtTCDfe'], ['ihandlingnput'], ['A mix of swepacesk and cohould split as,hjklpwords,and snumbers,6A normal sentencspacese with whtitespaces and no cosmmas7890'], ['onlyed!vhlllxbdlxyqv'], ['floccinaucinihilipilificateion,phanhdlAdocious'], ['A nospaceswithds,a90thrmal seentence with whitespacpes and noommas'], ['Tesrametercohould'], ['antidhanhdlAhmentarianism,0'], ['A nice list of words like antidisestablishmentaroianism, pneumonoultramicroscopicsilicovolcanoconsiosis, floccinaucinihilipilificateion,p supercalifragilisticexpialidoci'], ['spaceshanhdslA'], ['A niA normal sentennce with whitespaces and noommasce list of words like antidisestablishmentarianism, pneumonoultramicroscopicsilicovolcanoconsiosis, floccinaucinihilipilificateion,p supercalifragilisticexpialidocious'], ['08:14:53s,A1)'], ['2onlyed!lowercasevhllxblxyqv6'], ['s,A'], ['bdhsUoS'], ['A niA normal sentence with whitespaces and nfhhj,eion,p supercalifragilisticexpialidocious'], ['A nice list of words like antidisestablishmentarianism, pneumonoultramicroscopicsilicovolcanoconsiosis, floccinaucinihilipilifiA mix of spaces and commas like this,should split as,word s,and numbers like 12345,67890cateion,phanhdlAidocious'], ['Testing with spacsupercalifragilisticexpiali12345,67890ciouses, commas and odd-porder lowercase letters like a, bdf, hjklp'], ['hjkllp'], ['This text contains no whitespaces but has commas,a persupercalifragias,ds,andlisticexpialidolcious,iod, and odd-orspacesc,der lowercase letters such as bd, fhhj, and nprtvxz'], ['e'], ['antidisestaxpialidocious'], ['odd-ordkkrer'], ['A mix of spacesk a nd cohould split as,words,and numbers,67890'], ['whitespaAces'], ['A mix of swepacesk a nd cohould split as,hjklpwords,and snumbers,6A normal sentencspacese with whtitespaces and no cosmmas7890'], ['64hjkllp'], ['floccinaucinihilipspaces,ilificateion,p'], ['A mix of spacesk and coentence with whtitespaces and no commas7890'], ['anantidisesttheblishmentarianism,tThis'], ['A nice luist of words like antidisestablishmensupercalifragilisticexpialidociousersthhis,tarianism, pneumonoultramicroscopicsilicovolcanoconiosis, floccificateion, supercalifragilisticexpialidolcious'], ['commasA'], ['like,antidisestablishmentaroianism,None'], ['spaceswithdalidociousilicovolcanoconiosis,s,a90th'], ['08:14:53)rma'], ['TesThis text contaA nice list of words like antidisestablishmentaroianism, pneumonoultramicroscopicsilicovolcanoconsiosis, floccinaucinihilipilificateion,p supercalifragilisticexpialidociousins no whitespaces but has commas,a period, and odd-order lowercase letters such as bd, fhhj, and nprtvxzting error handling when None is prasseed as the input parasentencnnemeter'], ['oweneweA'], ['odd-orspacesc,der'], ['Pythdon 3.9.7 (default, Sep 26 2021, 08:14:53) [MSC v.1916 64 bit (AMD64)] \n'], ['fFbQ'], ['eYCWxHSAHY'], ['error'], ['ek!manA mix of spacesk and cohould split as,ds,and numbers,6A nbormal sentence witdh whtitespaces and no commas7890d,,rkk'], ['anA mix of spacesk and cohould split as,ds,and numbers,6A nbormal sentence with whtitespaces atluitstnd no commas7890d,teaxxt'], ['A nice list of words like antidisestablishmentarianism, pneumonoultramicroscopicsilicovolcanoconiosis, floccinauA mix of spacesk and cohould split as,hjklpwords,and numbers,67890cinihilipilification, supercalifrspacesupercalifragilisticexpialidocious64,agilisticexpialidocious'], ['A A mix of antidisestatheblishmentarianism,0nice list of words like antidisestabcolishmentarianism, pneumonoultramicroscspaceskon, supercalifragilisticexpialidocious'], ['that,jgKFmqluVX'], ['266'], ['eYCWxlaucinihilipilitficateion,SAHY'], ['A nice list of words like antidisestablishmentarianism, pneumonoultramicroscopicsilicovolcanoconsiosis, floccoinaucinihilipilificateion,p supercalifragilisticexpialidocious'], ['(defaultAanti'], ['parameterPython 3.9.7 (default, Sep 26 2021, 08:14:53) [MSC v.1916 64 bit (AMD64)] \n'], ['bu'], ['supercaagilisticexpi'], ['A nice list of words like anetidisestablishmentarianism, pneumonoultramicroscopicsiilicovolcanoconiosis, floccinaucinihilipilificateion, supercalifragilisticexpialidocious'], ['A nice list ofo words like antidisestablishmentaroianism, pneumonoultramiTestingcroscopicsilicovolcanoconsiosis, floccinaucinihilipilificateion,p supercalifragilisticexpialidocious'], ['A nice list of words like antidisestablistrrf.vphhmentarianism, pneumonoultramicroscopicsilicovolcanoconsiosis, floccinaucinihilipilificateion,phanhdlAidocious'], ['aUTtCDnumbers,6Afe'], ['wwitdhhitespaAces'], ['anantidisesttheblishmentarianism,tThimplizuvx;zs'], ['(defanti'], ['onalyedjp!vspacesxblxyqv'], ['as,words,a'], ['A normal sentence with white spacpes and noommas'], ['jpnormalA nospaceswithds,a90thrmal seentence with whitespacpes and noommas'], ['sentencpneumonoultramicroscopiccsilicovolcanoconsiosis,e'], ['spacesk'], ['odd-rorder'], ['aUTtCDefe'], ['ce with whitespacpes and noommasmas,a'], ['suchsupercalifragilistiicexpiali1esd;2345,67aUTtCsDfeus'], ['cohomplizuvx;pzuld'], ['A normal sentencPython 3.9.7 (default, Sep 26 2021, 08:14:53) [MSC v.1916 64A nice list of words like antidisestablishmentarianism, pneumonoultramicroscopicsilicovolcanoconsiosis, floccinaucinihilipilificateion,p supercalifragilisticexpialidthxdkazwhvui,ocious bit (AMD64)]numbersthhis, \ne with whtitespaces and no commas'], ['08andTesting:14:53)rma'], ['antidisestablishmentariA mix of spaces and commas like this,should split as,words,and numbers like 1234A nice list ofo words like antidisestablishmentaroianism, pneumonoultramiTestingcroscopicsilicovolcanoconsiosis, floccinaucinihilipilificateion,p supercalifragilisticexpialidocious5,67890anoism,eweA'], ['noommammsupercalifrspacesupercalifragilisticexpialidocious64,agilisticexpialidociouss'], ['A nice list of words like antidisestablishmentarianism, pneumonoultramicroscopicsilicovolcanoconiosis, floccinaucinihilipilificateion,pi supercalifragilisticexpialidocious'], ['eJhmlrros'], ['xdkJhml'], ['eYCWxHSAHHY'], ['spaceanA'], ['split'], ['sswepacesk'], ['Python 3.9.7 (default, Sep 26 202Nonee!m,r1, 08:14:53) [MSC v.1916 64 bit (AMD64)] \n'], ['A nice list of words like antidisestablishmentarianism, pneumonoultramicroscopicsilicovolcnoommasdf,anoconiosis, floccinaucinihilipilificateion,p fragilisticexpialidocious'], ['SAHY'], ['atluitstnd'], ['this,shjgKaantindisestablishmentarieanoism,ndFmqluVXoulld'], ['12345,67890text'], ['2lipneumonoultramicroscopicsilicovolcanthperiod,his,6'], ['spaceA nice list of words like antidisestablishmentarianism, pneumonoultramicroscopicsilicovolcanoconsiosis, floccinaucinihilipilificateion,p supercalifragilisticexpialidociouss'], ['A mix of spacesk apnd cohould split as,words,and numbers,67890th'], ['A nice list of words like antidisest,ablishmentarianism, pneumonoultr amicrosclopicsilicovolcanoconsiosis, floificateion,phanhdlAidocious'], ['pneumonouoltr'], ['xdkazwhvui'], ['e!m,r'], ['A mix of swepacesk a nd cohould split as,hjklpwords,and snumbers,6A normal sentencsepacese with whtitespaces and no cosmmas7890'], ['thisl,shoulld'], ['supercal3ifragilistiicexpiali1esd;2345,67aUTtCDfeus'], ['noormal'], ['xdkazwvui'], ['floccinaucinihilipilificateion,commasingos'], ['Python 3.9.7 (default, Sep 26 2021, 08:14:53) [MSC v.1916 64 bit (AMD64)]numbA nice list of words like antidisestablishmentaroianism, pneumonoultramicroscopicsileicovolcanoconsiosis, floccinaucinihilipilificateion,p supercalifragilisticexpialidociousersthhis, \n'], ['sent12345,67890encnne'], ['contaA'], ['Pytholipneumonoiultramicroscopicsilicovolcanoconiosis,n'], ['as,ds,and'], ['A nice list of words laucinihilipilificateion, supercalifragilistaicexpialidocious'], ['aspaceanAntidisestaxpialinospaceswithds,a90thrmaldocious'], ['supercalifragilisticexpiali12345,6sA'], ['aUUTtCA A mix of antidisestatheblishmentarianism,0nice list of words like antidisestabcolishmentarianism, pneumonoultramicroscspaceskon, supercalifragilisticexpialidociousDfe'], ['xdkazwhvanAui'], ['nsoommamms'], ['lsupercalifragias,ds,andlisticexpialidolcious'], ['nd'], ['supercalifragilistiiPythdoncexpiali1esd;2345,67aUTtCDfeus'], ['A mix of spacesk and cohould split as,words,sand numbers,67890'], ['A nice luist of words like antidisestablishmentarianism, pneumonoultramicroscopicsilicovolcanoconiosis, flocciantThisficateion, supercalifragilisticexpiialidolcious'], ['white'], ['hhjklpzryoebaproyqtmq.'], ['antidisestablishmentariA mix of spaces and commas like this,should split as,words,and numbers like 1234A nice list ofo words like antidisestablishmentaroianism, pneumonoultramiTestingcroscopicsilicovolcanoconsiosis, floccinaucinihilipilificateexpialidocious5,67890anoism,eweA'], ['A nice list of words like antidisestablishmentarianism, pneumonoultramicroscopicsilicovolcanoconiosis, floccinaucinihilipilificateion,p supercalifragilisticexpialidocious'], ['This text contains no whitespaces but has commas,a period, and odd-orspacesc,der loA mix of spaces and commas like this,should split as,words,and numbers like 12345,67890textwercase lett ers such as bd, fhhj, and nprtvxz'], ['A nice list of words like antidisestablishmentarianism, pneumonoultramicramicrosclopicsilicovolcanoconsiosis,oscopicsilicovolcanoconsiosis, floccinaucinihilipilificateion,p supercalifragilisticexpialidocious'], ['A mix olipneumonoultramicroscopics,iliscovolcanoconiosis,f spaces and commas like this,shoulld split as,words,ers like 12345,67890'], ['dodd-order'], ['nfhnhj,eion,p'], ['TA normal sentence with whitespacpes andamicroscopicsilicovolcanoconsiosis, noommashis'], ['A maix of spaces and commascommasidisestatheblishmentarianism, like thids,should split as,word s,and numbers like 12345,67890'], ['ABCDEF'], ['aaaBbccDd'], ['$%^&*()_+'], ['ABC'], ['Testing error handling when None is passedp as the input parameter'], ['Python 3.9.7 (dshouldefault, Sep 26 2021, 08:14:53) [MSC v.1916 64 bit (AMD64)] \n'], ['llik'], ['A mix of spaces and commas a,like this,should split as,words,and numbers like 12345,67890'], ['Testing Jhmlerror handling when None is passed as the input parametter'], ['A normal sentand,s'], ['lowercase'], ['Testing Jhmlerror handling when Nod as the input parametter'], ['Python 3.9.7 (default, Sep 26 2021, 08:14:53) [MSC vparameter.1916 64 bit (AMD64)] \n'], ['This text contains no whitespaces but has commas,a period, and odd-order lowercase letters such as bd, fhhj, and nprtvxz'], ['ABCDEFJhmlerrorG'], ['Python 3.9.7 (dshouldefault, Sep 26 2021, 08:14:53) [MSC v.1916 64 bit (AMD64)] \n'], ['A norma,l se(default,ntand,s'], ['This alwso has no whitespaces, but only has commas like, this, and, that, so we should split on commas'], ['A nice list of words like anblxyqvlipilification, supercalifragilisticexpialidocious'], ['A mix of spaces and commas a,like this,should split as,wo(default,rds,and numbers like 12345,67890'], ['A nice list of words like antidisestablishmentarianism, pneumonoultramicroscopicsilicovolcanoconiosis, floccinaucinihilipilification, supertcalifragilisticexpialidocious'], ['spaccommases'], ['Testing with spaces, commas and d-order lowercase letters like a, bdf, hjklp'], ['norma,l'], ['A norma,l ase(default,ntand,s'], ['spacmases'], ['A nice list of words like antidisestablishmentarianism, pneumono supertcalifragilisticexpialidocious'], ['This also has n26o whitespaces, but only has commas like, this, and, that, so we should split on commas'], ['Testing with spsos, commas and d-order lowercase letters like a, bdf, hjklp'], ['normsplita,l'], ['A nice list of words like antidisestablishmentarianism, pneumono supertcalifragilisticeA nice list of words like antidisestablishmentarianism, pneumonoultramicroscopicsilicovolcanoconiosis, floccinaucinihilipilification, supertcalifragilisticexpialidociousxpialidocious'], ['Testing with spaces, commas and odd-oerrorrder lowercase letters like a, bdf, hjklp'], ['A mix of spaces and commas a,like this,should sspa45,67890'], ['sspa45,67890'], ['3.9.7'], ['Python 3.9.7 (defau 2021, 08:14:53) [MSC vparameter.1916 64 bit (AMD64)] \n'], ['has'], ['Testing Jhmlerror handling when None is psed as the input parametter'], ['Nodtext'], ['contains'], ['Nodte2021,xt'], ['nprtvxz'], ['xdkkazwhui'], ['Nodte22021,xt'], ['n26o'], ['Testing with spaces, commas and odid-order lowercase letters like a, bdf, hjklp'], ['odid-order'], ['Python 3.9.7 (dshouldefault, Sep 26 2021, 08:14:53) [MSC v.1916 64 (AMD64)] \n'], ['Testinaserror handling when None is passed as the input parametter'], ['Nodteand021,xt'], ['odd-oerrorrder'], ['Testing with spsos, commas and d-order lowercase letters like a, bdfsupercalifragilisticexpialidocious, hjklp'], ['Python 3.9.7 (defau 2021, 08:14:53) [MSC vparamete bit (AMD64)] \n'], ['A mix of spaces and commas a,like this,should sspa45,67spsos,890'], ['rerror'], ['vparamete'], ['3.99.7'], ['A mix of spaces and commas a,like this,should sspaA45,67spsos,890'], ['Testing swith spaces, commas and d-orderbsdf, hjklp'], ['A mix of spaces and commas a,likme this,should sspaA45,67spsos,890'], ['sentand,s'], ['Python 3.9.7 (default, Sep 26 2:14:53) [MSC v.1916 64 bit (AMD64)] \n'], ['ase(defwhitespaces,ault,ntand,s'], ['xvparameter.1916dkazwhvui'], ['Python 3.9.7 (dshouldeffault, Sep 126 2021, 08:14:53) [MSC v.1916 64 bit (AMD64)] \n'], ['2021'], ['A mix of spaces and commas a,like this,should split as,wo(default,rds,a1nd numbers like 12345,67890'], ['This text contains no whitespaces but has commas,a period, anad odd-order lowercase letters such as bd, fhhj, and nprtvxz'], ['vparae'], ['A mix Sepof spaces and commas,words,andas a,like tos,890'], ['oNodte22021,xt'], ['6n26o'], ['Testing swith spaces,A mix of spaces and commas a,like this,should split as,wo(default,rds,a1nd numbers like 12345,67890 commas and d-orderbsdf, hjklp'], ['rerrr'], ['sspsa45,67890'], ['Python 3.9.7 (default, Sep 26 2021, 08:14:53) [MSC v.1916 64 bit (AMbdf,D64)] \n'], ['ovpNoneeten'], ['lTestinaserrorlik'], ['A norma,l se(defaultjwzfxwpfxyqpki,ntand,s'], ['Python 3.9.7 (dshouldefault, Sep 26 2021, 08:14:53) [MSC v.1916 64jwzfxwpfxyqpki bit (AMD64)] \nhjklp'], ['NodTesting with spsos, commas and d-order lowercase letters like a, bdf, hjklpteand021,xt'], ['Testing withers like a, bdf, hjklp'], ['psed'], ['A nice list of words like antidisestablishmentarianism, pneumonoultramicroscopABCDEFJhmlerrorGicsilicovolcanoconiosis, floccinaucinihilipilification, supertcalifragilisticexpialidocious'], ['vparpae'], ['soo'], ['This text contains no whitespaces but has commas,a period, and odd-order lowercase letters esuch as bd, fhhj, and nprtvxz'], ['Python 3.9.7 (dshouldeffault, Sep 126 2021, 08:14:53) [onMSC v.1916 64 bit (AMD64)] \n'], ['spaccocmmases'], ['[onMSC'], ['supertcalifragilisticexpialidocious'], ['v!m!d'], ['A normal sentence with wvparpaehitaespaces and no commas'], ['nannd'], ['ase(default,ntand,s'], ['ase(defwhitespacexvparameter.1916dkazwhvuis,ault,ntand,s'], ['jwzfxwpfxyqki'], ['a,Python 3.9.7 (dshouldeffault, Sep 126 2021, 08:14:53) [onMSC v.1916 64 bit (AMD64)] \n'], ['supertcalifragilisticexpialidociousxpialidocious'], ['hjklp'], ['FGWpneumonowJFeiKU'], ['3.99.'], ['A mix of spaces and commas a,like this,shouldm sspa45,67890'], ['This also has n26o whitespaces, but only has commas liperiod,ke, thiantidisestablishmentarianism,s, and, that, so we should split on commas'], ['Jhml'], ['spaspsos,ces,Testinaserror'], ['Python 3.niA4)] \n'], ['textt'], ['pse(default,d'], ['hjklpteand021,xt'], ['A mix of spacces and commas like this,should split as,words,and numbers like 12345,67890'], ['commas,words,andas'], ['Nod'], ['trhasrfh.vph'], ['lowrcaJhml ed!vhllxblxyqv esd; rb o jwzfxwpfxyqki gq trhasrfh.vph xdkazwhvui k v!mll!d e!m,r d zryebaproyqtmq. mplizuvx;z dz.olhjcymqpz,wnfx;lz.iwrohveybkgts.feaasfbyb,se'], ['it'], ['pse(default,jwzfxwpfxyqkid'], ['containsjwzfxwpfxyqpki'], ['Testing Jhmlerror handling when None is psed as tspaspsos,ces,Testinaserrorhe input parametter'], ['oNodte2split2021,xt'], ['spaces,A'], ['wxdkazwhvui'], ['P ython 3.niA4)] \n'], ['A nice list of words like antildisestablishmentarianism, pneumonoultramicroscopABCDEFJhmlerrorGicsilicovolcanoconiosis, floccinaucinihilipilification, supertcalifragilisticexpialidocious'], ['nice3.niA4)]'], ['os2:14:53)h3ould'], ['nanndd'], ['supertcalifragilisticealsoxpialidocious'], ['Nood'], ['This text contains no whitespaces but has commas,a period, and odd-order lowercase bd, fhhj, and nprtvxz'], ['Nodtexxt'], ['JhPython 3.9.7 (defabd,u 2021, 08:14:53) [MSC vparameter.1916 64 bit (AMD64)] \nml'], ['thisd,should'], ['Testing with spaces, commas and odd-oerrorrder lowercase letters like a, bdf , hjklp'], ['thisd,s,hould'], ['vpaalsorametebThis also has n26o whitespaces, but only has commas liperiod,ke, thiantidisestablishmentarianism,s, and, that, so we should split on commas'], ['Pysspsa45,67890thon 3.niA4)] \n'], ['Testing Jh when None is psed as tspaspsos,ces,Testinaserrorhe input parametter'], ['Sepof'], ['sesd;'], ['This text contains no whitespaces but has ccommas,a period, anPython 3.9.7 (dshouldeffault, Sep 126 2021, 08:14:53) [MSC v.1916 64 bit (AMD64)] \nd odd-order lowercasel letters esuch as bd, fhhj, and nprtvxz'], ['A nice list of words like antildisestablishmentarianism, pneumonoultramic,roscopABCDEFJhmlerrorGicsilicovolcanoconiosis, floccinaucinihilipilification, supertcalifragilisticexpialidocious'], ['This text contains no whuitespaces but has commas,a period, anad odd-order lowercase letters such as bd, fhhj, and nprtvxz'], ['A mix of spaces and commas a,likA mix of spacces and commas like this,should split as,words,and numbers like 12345,67890e this,should sspa45,67890'], ['A normal sentence with winputvparpaehJhml ed!vhllxblxyqv sesd; b o jwzfxwpfxyqki gq trrfh.vph xdkaTesting with spsos, commas and d-order lowercase letters like a, bdf, hjklpzrwhvui k v!mll!d eh!m,r d zryebaproyqtmq. mplizuvx;z dz.olhjcymqpz,Testing with spsos, commas and d-order lowercase letters like a, bdf, hjklpwnfx;lz.iwrohveybkgts.feaasfbyb, no commas'], ['rerrism,r'], ['jwzfxwjpfxyqki'], ['sspsa45,467890'], ['A(AMbdf,D64)] nice list of words like antidisestablishmentarianism, pneumono supertcalifragilisticeA nice list of words like antidisestablishmentarianism, pneumonoultramicroscopicsilicovolcanoconiosis, floccinaucinihilipilification, supertcalifragilisticexpialidociousxpialidocious'], ['a,Python'], ['odid-ordv!mslld!der'], ['seand,s'], ['(defau'], ['jwzfxwpfxos2:14:53x)h3ouldyqki'], ['llTesteinaserrorlik'], ['(deefau'], ['Testinaserror handlia,likAng when None is passed as theTesting withers like a, bdf, hjklp input parametter'], ['supertcalifragilisticeA'], ['supertcalifragilisticeawhensoxpialidocious'], ['trrfh.vph'], ['A nice list of words like antidisestablishmentarianism, pneumonoultramicroscopicsilicovolcanoconiosis, floccinaucinihilipilification, supercaandlifragilisticexpialidocious'], ['Python 3.9.7 (defau 2021,m 08:14:53) [MSC vparameter.1916 64 bit (AMD64)] \n'], ['b'], ['ofA mix of spaces and commas a,like this,should sspaA45,67spsos,890'], ['This text contains nto whitespaces but has commas,a period, and odd-order lowercase letters sucth as bd, fhhj, and nprtvxz'], ['lowercasel'], ['ssov!m!d'], ['aiC'], ['A mix of spaces and commas like this,should splite as,words,and numbers like 12345,67890'], ['Testing swith spaces,A mix of spaces and commas a,like this,shounormalld split as,wo(default,rds,a1nd numbers like 12345,67890 commas and d-orderbsdf, hjklp'], ['sentan,ssentand,s'], ['Python 3.9.7 (defau 2021,m 08:14:563) [MSC vparameter.1916 64 bit (AMD64)] \n'], ['reTesting with spaces, commas and odd-order lowercase letters like bdf, hjklprrr'], ['a,Pythhandlingon'], ['odiid-order'], ['pA nice list of words like antidisestablishmentarianism, pneumono supertcalifragilisticexpialidocioussed'], ['spaspseos,ces,Testinaserror'], ['A nice list of words like antidisestablishmentarianism, pneumono supertcalifragiseand,sisticexpialidocious'], ['llilk'], ['A normal sentence with wvand no commas'], ['No'], ['NonJhml'], ['i'], ['3Python 3.9.7 (defau 2021, 08:14:53) [MSC vparameter.1916 64 bit (AMD64)] \n'], ['ase(defwhitespaces,eault,ntand,s'], ['Testing Jh when None is psed as tspaspsos,ces,Testinaserrorhe input parameter'], ['sspsa45,4667890'], ['lTesting swith spaces,A mix of spaces and commas a,like this,shounormalld split as,wo(default,rds,a1nd numbers like 12345,67890 commas and d-orderbsdf, hjklplilk'], ['A normal sentence wtith wvand no commas'], ['dz.olhjcymqpz,wnfx;lz.iwrohveybkgts.feaasfbyb,se'], ['Testing Jh when None is psed as tspaspsos,cevparameter.1916s,Testinaserrorhe input parameter'], ['pseed'], ['ase(default,ntadnd,s'], ['sspsa45,,467890'], ['Asentan,sJhml ed!vhllxblxyqv esd; rb o jwzfxwpfxyqki gq trhasrfh.vph xdkazwhvui k v!mll!d e!m,r d zryebaproyqtmq. mplizuvx;z dz.olhjcymqpz,wnfx;lz.iwrohveybkgts.feaasfbyb,sentancommasd,sBCDEFG'], ['Testing error handling whellikn None is passed as the input parameter'], ['[onMCSC'], ['Testing Jh when None is psed as tspaspsos,cevparameter.1916s,Testinaserrorhe input parameter'], ['This text contains no whuaPython 3.9.7 (dshouldefault, Sep 26 2021, 08:14:53) [MSC v.1916 64 (AMD464)] \n,itespaces but has commas,a period, anad odd-order lowercase letters such as bd, fhhj, and nprtvxz'], ['Python 3.9.7 (dshoiuldefault, Sep 26 2021, 08:14:53) [MSC v.1916 64 bit (AMD64)] \n'], ['A mix of spaces and commas a,likA mix of spacces and commas like1 thlettersis,should split as,words,and numbers like 12345,67890e this,should sspa45,67890'], ['2021,pneumono'], ['Testing error haas,wo(default,rds,a1ndndling when None is passed as the input parameter'], ['xdkkaism,zwhui'], ['A normal sentence wtiwithth wvand no commas'], ['This alwso has no whitespaces, but only has commas like, this, and,dz.olhjd-orderbsdf,cymqpz,wnfx;lz.iwrohveybkgts.feaasfbyb, that, so we should split on commas'], ['Python 3.9.7 (defau 2021, 08:14:53) [MSC vparameter.1916 64 bit (AMD64)] 9\n'], ['Testinaserror'], ['but'], ['This text contains no whitespaces but has comcmas,a period, anad odd-order lowercase letters such as bd, fhhj, and nprtvx'], ['ttPython 3.9.7 (defau 2021, 08:14:53) [MSC vparamete bit (AMD64)] \nexxt'], ['Noonee'], ['A mix of spaces and commas a,lik0e this,should split as,wo(default,rds,and numbers like 12345,67890'], ['A nice list of words like antidisestablishmentarianirerrorsm, pneumono supertcalifragilisticexpialidocious'], ['ws'], ['eA normal sentence wtith wvand no commas'], ['Testing error handn None is passed as the input parameter'], ['sucth'], ['antidA mix of spaces and commas a,like this,should sspa45,67890isestablishmentarianism,A nice list of words like antidisestablishmentarianism, pneumonoultramicroscopicsilicovolcanoconiosis, floccinaucinihilipilification, supercaandlifragilisticexpialidocious'], ['A normaal sentantexttd,s'], ['Nodteaand021,xt'], ['whidz.olhjcymqpz,wnfx;lz.iwrohveybkgts.feaasfbyb,sentancommasd,sBCDEFGtespaces'], ['xdkkaism,zsupercalifragilisticexpialidociouswhui'], ['A nice list of words like antidisestablishmentarianism, pneumas,words,andono supertcalifragilisticeA nice list of words like antidisestablishmentarianism, pneumonoultramicroscopicsilicovolcanoconiosis, floccinaucisnihilipilification, supertcalifragilisticexpialidociousxpialidocious'], ['a,likA'], ['sspathis,shounormalld45,67890'], ['hjkklpteand021,xt'], ['A nice list of words like antidisestablishmentarian floccinaucinihilipilification, supertcalifragilisticexpialidocious'], ['pneumonoultramicroscopABCDEFJhmlerrorGicsilicovolcanoconiosis,m,r'], ['A nice list of wordlxyqvlipilification, supercalifragilisticexpialidocious'], ['[onMCSvparameter.1916C'], ['oNodtesplit2021,xt'], ['sspsa45,467s890'], ['vpaalsorlso has n26o whitespaces, but only has commas liperiod,ke, thiantidisestablishmentarianism,s, and, that, so we should split on commas'], ['This text contains no whitespaces but has comcmas, a period, anad odd-order lowercase letters such as bd, fhhj, and nprtvx'], ['xdkkazodid-ordv!mslld!derwhui'], ['odid-orderABCDEFG'], ['lTesting switlTesatinaserrorlikh spaces,A mix of spaces and commas a,like this,shounormalld split as,wo(default,rds,a1nd numbers like 12345,67890 commas and id-orderbsdf, hjklplilk'], ['vlike1!mll!d'], ['sspathis,shttPythonounormalld45,67890'], ['noarma,l'], ['vpaalsorlso has n26o wohitespaces, but only has commas liperiod,ke, thiantidisestablishmentarianism,s, and, that, so wei should split on commas'], ['supertcalifreagilisticexpialidociousxpialidocious'], ['jwzfx14miis,m,x:53x)h3ouldyqki'], ['ABCDEFJhmlFerrorG'], ['ase(efault,ntadnd,s'], ['switlTesatinaserrorlikh'], ['Testing error haas,wo(default,rds,a1ndndling when None is passed as the inoNodte22021,xtput parameter'], ['Testing error handlipng whellikn None is passed as the input parameter'], ['vparameter.1916'], ['This text contains no whitespaces but has commas,a period, and odd-order lowccommas,aercase letters esuch as bd, fhhj, and nprtvxz'], ['thlettersis,should'], ['hjklpteand021,xt1'], ['(AMD464)]'], ['haas,wo(default,rds,a1ndndlingdz.olhjcymqpz,wnfx;lz.iwrohveybkgts.feaasfbyb,se'], ['Asentan,sJhml'], ['[oMnMSC'], ['2021wxdkaazwhvui'], ['ssucth'], ['Testing Jhmlerror handling when None is psed as the input parametter'], ['rerrrism,r'], ['This text contains no whuitespaces but has commas,aa period, anad odd-order lowercase letters such as bd, fhhj, and nprtvxz'], ['A nice list of words like antidisestablishmentarianism, pneumono supertcalifragilisticeA nice list of words like antidisestablishmentarianism, pneumonoultramicroscopicsilicovolcanoconiosis, floccinaucinihilipilification, supertcalifragilistinice3.niA4)]cexpialidociousxpialidocious'], ['rnice3.niiA4)]errr'], ['Testing Jhmlerror handling whes the input parametter'], ['ss4pa45,67890'], ['A nice list of words like antridisestablishmens'], ['3.9ase(defwhitespaces,eault,ntand,s'], ['wvparpaehitaespaces'], ['This text contains no whuaPython 3.9.7 (dshouldefault, Sep 26 2021, 08:1reTesting4:53) [MSC v.1916 64 (AMD464)] \n,itespaces but has commas,a period, anad odd-order lowercase letters such as bd, fhhj, and nprtvxz'], ['3.99.antidA mix of spaces and commas a,like this,should sspa45,67890isestablishmentarianism,A nice list of words like antidisestablishmentarianism, pneumonoultramicroscopicsilicovolcanoconiosis, floccinaucinihilipilification, supercaandlifragilisticexpialidocious7'], ['lTesting switlTesatinaserrorlikh spaces,A mix of spaces and commas aspaspseos,ces,Testinaserrorrderbsdf, hjklplilk'], ['ssssucth4pa45,67890'], ['lTesting swith spaces,A mix of spaces and commas a,like this,shounormalld split as,wo(default,rds,a1pA nice list of words like antidisestablishmentarianism, pneumono supertcalifragilisticexpialidocioussednd numbers like 12345,67890 commas and d-orderbsdf, hjklplilk'], ['Testig'], ['lowccommas,aercase'], ['Testing error handling when None is passed asameter'], ['lowrcaJhml ed!vhllxblxyqv esd; rb o jwzfxwpfxyqki gq trhasrfh.vph xdkazwhvui k v!mll!d e!m,r d zryebaproyhveybkgts.feaasfbyb,se'], ['Testing withers like a, bdf, hlp'], ['vparramete'], ['mx'], ['dThis text contains no whitespaces but has commas,a period, and odd-order lowercase letters such as bd, fhhj, and nprtvxz'], ['ABCDEFJhmmlFerrorG'], ['(AMDtrrf.vph464)]'], ['2021,pnepneumonoultramicroscopicsilicovolcanoconiosis,uo'], ['This text contains no whuaPython 3.9.7 (dshouldefauspaccocmmaseslt, Sep 26 2021, 08:14:53) [MS C v.1916 64 (AMD464)] \n,itespaces but has commas,a period, anad odd-order lowercase letters such as bd, fhhj, and nprtvxz'], ['supertcalifragiliusticexpialidocious'], ['itt'], ['Testing Jh when None is psed as tspaspsos,cevparameter.1916s,Testinaserrorhe input parameteir'], ['jwzfx14miis,yqki'], ['dThis text contains no whitespaces but has commas,a period, and odd-oretters such as bd, fhhj, and nprtvxz'], ['vparpe'], ['wtiwithth'], ['Testing Jhmlerror handling when None is passed as the inpNodtexxtmetter'], ['A nice list of words like antidisestablishmentairian floccinaucinihilipilification, supertcalifragilisticexpialidocious'], ['Testihlpng Jh when None is psed as tspaspsos,ces,Testinaserrorhe input parameter'], ['3..99.'], ['A nice list of words like antildisestablishmentarianism, pneumonoulNodteaand021,xttramicroscopABCDEFJhmlerrorGicsilicovolcanoconiosis, floccinaucinihilipilification, supertcalifragilsisticexpialidocious'], ['ase(efault,ntadnA nice list of words like antidisestablishmentarian floccinaucinihilipilification, supertcalifragilisticexpialidociousd,s'], ['A nice list of words like antidisestablishmentarianism, pneumas,words,andono supertcalifragilisticeA nice list of words li,ke antidisestablishmentarianism, pneumonoucltramicroflJhml ed!vhllxblxyqv sesd; b o jwzfxwpfxyqki gq trrfh.vph xdkaTesting with spsos, commas and d-order lowercase letthandlingers like a, bdf, hjklpzrwhvui k v!mll!d eh!m,r d zryebaproyqtmq. mplizuvx;z dz.olhjcymqpz,Testing with spsos, commas and d-order lowercase letters like a, bdf, hjklpwnfx;lz.iwrohveybkgts.feaasfbyb,occinaucinihilipilification,scopicsilicovolcanoconiosis, floccinaucisnihilipilification, supertcalifragilisticexpialidociousxpialidocious'], ['ssspsa45,467s890upertcalifragiliusticexpialidocious'], ['this,shouTesting with spsos, commas and d-order lowercase letters like a, bdf, hjklpd'], ['Testing switth spaces, commas and d-orderbsdf, hjklp'], ['This text contains ,em,rno whitespaces but has ccommas,a period, anPython 3.9.7 (dshouldeffault, Sep 126 2021, 08:14:53) [MSC v.1916 64 bit (AMD64)] \nd odd-order lowercasel letters esuch as bd, fhhj, and nprtvxz'], ['hjklplilk'], ['pneumonoultramicroswtiwiththcopABCDEFJhmlerrorGicsilicovolcanoconiosis,m,r'], ['nantidA mix of spaces and commas a,like this,should sspa45,67890isestablishmentarianism,26o'], ['like1'], ['dThis text contains no whitespaces but has commas,a period, and odd-oretters such as Testing error handling when None is passed asameterbd, fhhj, and nprtvxz'], ['psTesting swith spaces, commas and d-orderbsdf, hjklpeed'], ['ase(efault,ntadnA nice list of words like antidisestablishmentarian floccinaucinihilipilification, s(dshoiuldefault,upertcalifragilisticexpialidociousd,s'], ['odd-oretters'], ['odid-ordv!moslld!dr'], ['ase(defwhitespacexvparams,ault,ntand,s'], ['Python 3.9.7 (dshouldefault, Sep 262 2021, 08:14:53) [MSC v.1916 64 bit (AMD64)] \n'], ['A mix of spaces and commas a,like this,should sTesting Jhmlerror handling when Nod as the input parametterspa45,67spsos,890'], ['spaspseos,ces,Testinasthis,shouTesting with spsos, commas and d-order lowercase letters like a, bdf, hjklpderror'], ['Nodte2021,ase(defwhitespaces,eault,ntand,sxt'], ['rerrrr'], ['[onM.1916C'], ['a,lilkA'], ['ssspsa45,467s8and90upertcalifragiliusticexpialidocious'], ['Testing swith spaces,A mix of spaces and co mmas a,like this,should split as,wo(default,rds,a1nd numbers like 12345,67890 commas and d-orderbsdf, hjklp'], ['NPython 3.9.7 (dshouldefault, Sep 26 2021, 08:14:53) [MSC v.1916 64jwzfxwpfxyqpki bit (AMD64)] \nhjklpoonee'], ['ase(efault,ntadnA nice list of words like antidisestablishmentarian floccinaucinihilipilification, supertcaliifragilisticexpialidociousd,s'], ['dThis text contains no whitespaces but has commas,a period, and odd-oretters such as Testing error handling when None is passed asameterbd, fhhjrtvxz']]
results = [['Hello', 'world!'], ['Hello', 'world!'], ['Hello', 'world,!'], ['Hello,Hello,world', '!'], 3, 2, 1, 0, 2, ['abc', 'deg'], ['aaa', 'bbb'], ['Hello', 'World!'], ['123', '456'], 1, ['Hello', ',', 'world', '!'], ['apple,', 'banana,', 'orange,', 'grapefruit'], 0, ['HELLO', 'WORLD'], 1, ['Hellabc123o', ',', 'world', '!'], ['HELLOHELLO', 'WORLD', 'WOORLD'], 0, 1, ['Hello', ',Hello?', 'world', '!'], ['Hello', 'dWorlld!'], ['Hello', 'WdWorlld!'], ['abc', 'de'], ['aabc123Hello', 'World!'], ['abcd', 'de'], 1, ['abcHELLOHELLO', 'WOORLD', 'WOORLD', 'de'], ['abcHello', 'World!', 'deg'], 1, 1, ['abcHELLOHELLO', 'WRLD', 'de'], ['Helalabc123o', ',', 'world', '!'], ['dabcd', 'de'], ['ab', 'cd', 'deg'], ['abcHELLOHELLO', 'WRabcHELLOHELLO', 'WOORLD', 'WOORLD', 'deLD', 'de'], 0, ['Hello', ',Hello?', 'rld', '!'], ['Hello', ',', 'world', 'Hello', ',', 'world', '!!'], ['Helalabc123o', ',', 'bworld', '!'], ['HELLOHello', ',', 'world', '!HELLO', 'WORLD', 'WOOLRLD'], ['abcabc', 'a123'], ['abcHello', ',', 'deworabcd', 'dded', 'a123'], ['Hello', ',Helaabc123lo?', 'rld', '!'], 2, 0, ['H!ello', 'WdWorlld!'], ['Heab', 'cd', 'deglled', '1234'], ['aaabc123aabc123Hello', 'World!'], ['dabcd', 'aaabc123aabc123Hello', 'World!e'], ['oHelldHelled', '!'], ['abc', 'g'], ['Hello', ',Hello?', 'rlaabc123c', 'd', '!'], ['abcHELLOHELLO', 'WRLLD', 'dee'], ['abce', 'deg'], ['Hello', ',', 'worHelled', 'ld', '!'], 1, ['Helalabc123o', ',', 'bworldNDcwhK!'], 2, ['ab', 'cd', 'degab', 'cd', 'deg'], ['Hello', ',', 'world', 'HellHello', ',', 'eworabcd', 'deHello2aaabc123', ',', 'world', '!d', 'o', ',', 'world', '!!'], ['ab', 'cdg', 'deg'], ['aObcLHELLOHELLO', 'WRLD', 'de'], ['aObcLHELLOHELLOHELLO', 'WORLD', 'WOORLDHELLO', 'WRLD', 'de'], ['HelloHello', ',Helaabc123lo?', 'rld', '!', ',Hello?', 'world', 'Hello', ',Hello?', 'rlaabc123c', 'd', '!!'], ['Heab', 'cabcHello', 'World!', 'degd', 'deglled', '1234'], 0, 5, ['HHelblo', ',Helaabc123lo?', 'rl'], 0, ['ab', 'cd', 'cdeg'], ['abcHello', 'Worlld!', 'deg'], ['abcHello', ',', 'deworabcd', 'dHello', ',', 'worHelled', 'ld', '!ded', 'a123'], ['ab', 'cdg', 'deg12344'], 0, ['aaa', 'bb'], ['Hello', ',', 'woapple,', 'banana,', 'orange,', 'grapefruitrld', 'Hello', ',', 'world', '!!'], 3, ['Hello', ',', 'world', 'HellHello', ',d', '!d', 'o', ',', 'world', '!!'], ['HOHello', ',', 'world', '!HELLO', 'WORLD', 'WOOLRLD'], ['NHello', ',', 'world', 'Hello', ',', 'world', '!!DcwhK'], ['Hello', ',Hello?', 'waaa,bborld', '!'], ['HHelblo', ',Helaabc123lo?', 'rlabcHello', 'Worlld!', 'deg'], ['Hello', ',', 'w', 'orld', 'Hello', ',', 'world', '!!'], ['aObcLOHELLO', 'HELLOHELLO', 'WORLD', 'WOORLDHELLO', 'WRLaabc123D', 'de'], ['oHeHlldHelled', '!'], ['dabcd', 'aaabc123aabab', 'cdg', 'deg12344c123Hello', 'World!e'], ['aaab', 'cdg', 'deg12344a,bbb'], 1, ['ab', 'ecd', 'degab', 'cd', 'deg'], ['Python', '3.9.7', '(default,', 'Sep', '26', '2021,', '08:14:53)', '[MSC', 'v.1916', '64', 'bit', '(AMD64)]'], ['Testing', 'with', 'spaces,', 'commas', 'and', 'odd-order', 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'sesd;', 'b', 'o', 'jwzfxwpfxyqki', 'gq', 'trrfh.vph', 'xdkaTesting', 'with', 'spsos,', 'commas', 'and', 'd-order', 'lowercase', 'letters', 'like', 'a,', 'bdf,', 'hjklpzrwhvui', 'k', 'v!mll!d', 'eh!m,r', 'd', 'zryebaproyqtmq.', 'mplizuvx;z', 'dz.olhjcymqpz,Testing', 'with', 'spsos,', 'commas', 'and', 'd-order', 'lowercase', 'letters', 'like', 'a,', 'bdf,', 'hjklpwnfx;lz.iwrohveybkgts.feaasfbyb,', 'no', 'commas'], ['rerrism', 'r'], 8, ['sspsa45', '467890'], ['A(AMbdf,D64)]', 'nice', 'list', 'of', 'words', 'like', 'antidisestablishmentarianism,', 'pneumono', 'supertcalifragilisticeA', 'nice', 'list', 'of', 'words', 'like', 'antidisestablishmentarianism,', 'pneumonoultramicroscopicsilicovolcanoconiosis,', 'floccinaucinihilipilification,', 'supertcalifragilisticexpialidociousxpialidocious'], ['a', 'Python'], 10, ['seand', 's'], 2, 11, 8, 2, ['Testinaserror', 'handlia,likAng', 'when', 'None', 'is', 'passed', 'as', 'theTesting', 'withers', 'like', 'a,', 'bdf,', 'hjklp', 'input', 'parametter'], 8, 14, 8, ['A', 'nice', 'list', 'of', 'words', 'like', 'antidisestablishmentarianism,', 'pneumonoultramicroscopicsilicovolcanoconiosis,', 'floccinaucinihilipilification,', 'supercaandlifragilisticexpialidocious'], ['Python', '3.9.7', '(defau', '2021,m', '08:14:53)', '[MSC', 'vparameter.1916', '64', 'bit', '(AMD64)]'], 1, ['ofA', 'mix', 'of', 'spaces', 'and', 'commas', 'a,like', 'this,should', 'sspaA45,67spsos,890'], ['This', 'text', 'contains', 'nto', 'whitespaces', 'but', 'has', 'commas,a', 'period,', 'and', 'odd-order', 'lowercase', 'letters', 'sucth', 'as', 'bd,', 'fhhj,', 'and', 'nprtvxz'], 3, 2, 0, ['A', 'mix', 'of', 'spaces', 'and', 'commas', 'like', 'this,should', 'splite', 'as,words,and', 'numbers', 'like', '12345,67890'], ['Testing', 'swith', 'spaces,A', 'mix', 'of', 'spaces', 'and', 'commas', 'a,like', 'this,shounormalld', 'split', 'as,wo(default,rds,a1nd', 'numbers', 'like', '12345,67890', 'commas', 'and', 'd-orderbsdf,', 'hjklp'], ['sentan', 'ssentand', 's'], ['Python', '3.9.7', '(defau', '2021,m', '08:14:563)', '[MSC', 'vparameter.1916', '64', 'bit', '(AMD64)]'], ['reTesting', 'with', 'spaces,', 'commas', 'and', 'odd-order', 'lowercase', 'letters', 'like', 'bdf,', 'hjklprrr'], ['a', 'Pythhandlingon'], 5, ['pA', 'nice', 'list', 'of', 'words', 'like', 'antidisestablishmentarianism,', 'pneumono', 'supertcalifragilisticexpialidocioussed'], ['spaspseos', 'ces', 'Testinaserror'], ['A', 'nice', 'list', 'of', 'words', 'like', 'antidisestablishmentarianism,', 'pneumono', 'supertcalifragiseand,sisticexpialidocious'], 3, ['A', 'normal', 'sentence', 'with', 'wvand', 'no', 'commas'], 0, 3, 0, ['3Python', '3.9.7', '(defau', '2021,', '08:14:53)', '[MSC', 'vparameter.1916', '64', 'bit', '(AMD64)]'], ['ase(defwhitespaces', 'eault', 'ntand', 's'], ['Testing', 'Jh', 'when', 'None', 'is', 'psed', 'as', 'tspaspsos,ces,Testinaserrorhe', 'input', 'parameter'], ['sspsa45', '4667890'], ['lTesting', 'swith', 'spaces,A', 'mix', 'of', 'spaces', 'and', 'commas', 'a,like', 'this,shounormalld', 'split', 'as,wo(default,rds,a1nd', 'numbers', 'like', '12345,67890', 'commas', 'and', 'd-orderbsdf,', 'hjklplilk'], ['A', 'normal', 'sentence', 'wtith', 'wvand', 'no', 'commas'], ['dz.olhjcymqpz', 'wnfx;lz.iwrohveybkgts.feaasfbyb', 'se'], ['Testing', 'Jh', 'when', 'None', 'is', 'psed', 'as', 'tspaspsos,cevparameter.1916s,Testinaserrorhe', 'input', 'parameter'], 2, ['ase(default', 'ntadnd', 's'], ['sspsa45', '', '467890'], ['Asentan,sJhml', 'ed!vhllxblxyqv', 'esd;', 'rb', 'o', 'jwzfxwpfxyqki', 'gq', 'trhasrfh.vph', 'xdkazwhvui', 'k', 'v!mll!d', 'e!m,r', 'd', 'zryebaproyqtmq.', 'mplizuvx;z', 'dz.olhjcymqpz,wnfx;lz.iwrohveybkgts.feaasfbyb,sentancommasd,sBCDEFG'], ['Testing', 'error', 'handling', 'whellikn', 'None', 'is', 'passed', 'as', 'the', 'input', 'parameter'], 1, ['Testing', 'Jh', 'when', 'None', 'is', 'psed', 'as', 'tspaspsos,cevparameter.1916s,Testinaserrorhe', 'input', 'parameter'], ['This', 'text', 'contains', 'no', 'whuaPython', '3.9.7', '(dshouldefault,', 'Sep', '26', '2021,', '08:14:53)', '[MSC', 'v.1916', '64', '(AMD464)]', ',itespaces', 'but', 'has', 'commas,a', 'period,', 'anad', 'odd-order', 'lowercase', 'letters', 'such', 'as', 'bd,', 'fhhj,', 'and', 'nprtvxz'], ['Python', '3.9.7', '(dshoiuldefault,', 'Sep', '26', '2021,', '08:14:53)', '[MSC', 'v.1916', '64', 'bit', '(AMD64)]'], ['A', 'mix', 'of', 'spaces', 'and', 'commas', 'a,likA', 'mix', 'of', 'spacces', 'and', 'commas', 'like1', 'thlettersis,should', 'split', 'as,words,and', 'numbers', 'like', '12345,67890e', 'this,should', 'sspa45,67890'], ['2021', 'pneumono'], ['Testing', 'error', 'haas,wo(default,rds,a1ndndling', 'when', 'None', 'is', 'passed', 'as', 'the', 'input', 'parameter'], ['xdkkaism', 'zwhui'], ['A', 'normal', 'sentence', 'wtiwithth', 'wvand', 'no', 'commas'], ['This', 'alwso', 'has', 'no', 'whitespaces,', 'but', 'only', 'has', 'commas', 'like,', 'this,', 'and,dz.olhjd-orderbsdf,cymqpz,wnfx;lz.iwrohveybkgts.feaasfbyb,', 'that,', 'so', 'we', 'should', 'split', 'on', 'commas'], ['Python', '3.9.7', '(defau', '2021,', '08:14:53)', '[MSC', 'vparameter.1916', '64', 'bit', '(AMD64)]', '9'], 5, 2, ['This', 'text', 'contains', 'no', 'whitespaces', 'but', 'has', 'comcmas,a', 'period,', 'anad', 'odd-order', 'lowercase', 'letters', 'such', 'as', 'bd,', 'fhhj,', 'and', 'nprtvx'], ['ttPython', '3.9.7', '(defau', '2021,', '08:14:53)', '[MSC', 'vparamete', 'bit', '(AMD64)]', 'exxt'], 1, ['A', 'mix', 'of', 'spaces', 'and', 'commas', 'a,lik0e', 'this,should', 'split', 'as,wo(default,rds,and', 'numbers', 'like', '12345,67890'], ['A', 'nice', 'list', 'of', 'words', 'like', 'antidisestablishmentarianirerrorsm,', 'pneumono', 'supertcalifragilisticexpialidocious'], 0, ['eA', 'normal', 'sentence', 'wtith', 'wvand', 'no', 'commas'], ['Testing', 'error', 'handn', 'None', 'is', 'passed', 'as', 'the', 'input', 'parameter'], 2, ['antidA', 'mix', 'of', 'spaces', 'and', 'commas', 'a,like', 'this,should', 'sspa45,67890isestablishmentarianism,A', 'nice', 'list', 'of', 'words', 'like', 'antidisestablishmentarianism,', 'pneumonoultramicroscopicsilicovolcanoconiosis,', 'floccinaucinihilipilification,', 'supercaandlifragilisticexpialidocious'], ['A', 'normaal', 'sentantexttd,s'], ['Nodteaand021', 'xt'], ['whidz.olhjcymqpz', 'wnfx;lz.iwrohveybkgts.feaasfbyb', 'sentancommasd', 'sBCDEFGtespaces'], ['xdkkaism', 'zsupercalifragilisticexpialidociouswhui'], ['A', 'nice', 'list', 'of', 'words', 'like', 'antidisestablishmentarianism,', 'pneumas,words,andono', 'supertcalifragilisticeA', 'nice', 'list', 'of', 'words', 'like', 'antidisestablishmentarianism,', 'pneumonoultramicroscopicsilicovolcanoconiosis,', 'floccinaucisnihilipilification,', 'supertcalifragilisticexpialidociousxpialidocious'], ['a', 'likA'], ['sspathis', 'shounormalld45', '67890'], ['hjkklpteand021', 'xt'], ['A', 'nice', 'list', 'of', 'words', 'like', 'antidisestablishmentarian', 'floccinaucinihilipilification,', 'supertcalifragilisticexpialidocious'], ['pneumonoultramicroscopABCDEFJhmlerrorGicsilicovolcanoconiosis', 'm', 'r'], ['A', 'nice', 'list', 'of', 'wordlxyqvlipilification,', 'supercalifragilisticexpialidocious'], 6, ['oNodtesplit2021', 'xt'], ['sspsa45', '467s890'], ['vpaalsorlso', 'has', 'n26o', 'whitespaces,', 'but', 'only', 'has', 'commas', 'liperiod,ke,', 'thiantidisestablishmentarianism,s,', 'and,', 'that,', 'so', 'we', 'should', 'split', 'on', 'commas'], ['This', 'text', 'contains', 'no', 'whitespaces', 'but', 'has', 'comcmas,', 'a', 'period,', 'anad', 'odd-order', 'lowercase', 'letters', 'such', 'as', 'bd,', 'fhhj,', 'and', 'nprtvx'], 14, 5, ['lTesting', 'switlTesatinaserrorlikh', 'spaces,A', 'mix', 'of', 'spaces', 'and', 'commas', 'a,like', 'this,shounormalld', 'split', 'as,wo(default,rds,a1nd', 'numbers', 'like', '12345,67890', 'commas', 'and', 'id-orderbsdf,', 'hjklplilk'], 5, ['sspathis', 'shttPythonounormalld45', '67890'], ['noarma', 'l'], ['vpaalsorlso', 'has', 'n26o', 'wohitespaces,', 'but', 'only', 'has', 'commas', 'liperiod,ke,', 'thiantidisestablishmentarianism,s,', 'and,', 'that,', 'so', 'wei', 'should', 'split', 'on', 'commas'], 16, ['jwzfx14miis', 'm', 'x:53x)h3ouldyqki'], 5, ['ase(efault', 'ntadnd', 's'], 9, ['Testing', 'error', 'haas,wo(default,rds,a1ndndling', 'when', 'None', 'is', 'passed', 'as', 'the', 'inoNodte22021,xtput', 'parameter'], ['Testing', 'error', 'handlipng', 'whellikn', 'None', 'is', 'passed', 'as', 'the', 'input', 'parameter'], 5, ['This', 'text', 'contains', 'no', 'whitespaces', 'but', 'has', 'commas,a', 'period,', 'and', 'odd-order', 'lowccommas,aercase', 'letters', 'esuch', 'as', 'bd,', 'fhhj,', 'and', 'nprtvxz'], ['thlettersis', 'should'], ['hjklpteand021', 'xt1'], 0, ['haas', 'wo(default', 'rds', 'a1ndndlingdz.olhjcymqpz', 'wnfx;lz.iwrohveybkgts.feaasfbyb', 'se'], ['Asentan', 'sJhml'], 1, 5, 2, ['Testing', 'Jhmlerror', 'handling', 'when', 'None', 'is', 'psed', 'as', 'the', 'input', 'parametter'], ['rerrrism', 'r'], ['This', 'text', 'contains', 'no', 'whuitespaces', 'but', 'has', 'commas,aa', 'period,', 'anad', 'odd-order', 'lowercase', 'letters', 'such', 'as', 'bd,', 'fhhj,', 'and', 'nprtvxz'], ['A', 'nice', 'list', 'of', 'words', 'like', 'antidisestablishmentarianism,', 'pneumono', 'supertcalifragilisticeA', 'nice', 'list', 'of', 'words', 'like', 'antidisestablishmentarianism,', 'pneumonoultramicroscopicsilicovolcanoconiosis,', 'floccinaucinihilipilification,', 'supertcalifragilistinice3.niA4)]cexpialidociousxpialidocious'], 6, ['Testing', 'Jhmlerror', 'handling', 'whes', 'the', 'input', 'parametter'], ['ss4pa45', '67890'], ['A', 'nice', 'list', 'of', 'words', 'like', 'antridisestablishmens'], ['3.9ase(defwhitespaces', 'eault', 'ntand', 's'], 7, ['This', 'text', 'contains', 'no', 'whuaPython', '3.9.7', '(dshouldefault,', 'Sep', '26', '2021,', '08:1reTesting4:53)', '[MSC', 'v.1916', '64', '(AMD464)]', ',itespaces', 'but', 'has', 'commas,a', 'period,', 'anad', 'odd-order', 'lowercase', 'letters', 'such', 'as', 'bd,', 'fhhj,', 'and', 'nprtvxz'], ['3.99.antidA', 'mix', 'of', 'spaces', 'and', 'commas', 'a,like', 'this,should', 'sspa45,67890isestablishmentarianism,A', 'nice', 'list', 'of', 'words', 'like', 'antidisestablishmentarianism,', 'pneumonoultramicroscopicsilicovolcanoconiosis,', 'floccinaucinihilipilification,', 'supercaandlifragilisticexpialidocious7'], ['lTesting', 'switlTesatinaserrorlikh', 'spaces,A', 'mix', 'of', 'spaces', 'and', 'commas', 'aspaspseos,ces,Testinaserrorrderbsdf,', 'hjklplilk'], ['ssssucth4pa45', '67890'], ['lTesting', 'swith', 'spaces,A', 'mix', 'of', 'spaces', 'and', 'commas', 'a,like', 'this,shounormalld', 'split', 'as,wo(default,rds,a1pA', 'nice', 'list', 'of', 'words', 'like', 'antidisestablishmentarianism,', 'pneumono', 'supertcalifragilisticexpialidocioussednd', 'numbers', 'like', '12345,67890', 'commas', 'and', 'd-orderbsdf,', 'hjklplilk'], 1, ['lowccommas', 'aercase'], ['Testing', 'error', 'handling', 'when', 'None', 'is', 'passed', 'asameter'], ['lowrcaJhml', 'ed!vhllxblxyqv', 'esd;', 'rb', 'o', 'jwzfxwpfxyqki', 'gq', 'trhasrfh.vph', 'xdkazwhvui', 'k', 'v!mll!d', 'e!m,r', 'd', 'zryebaproyhveybkgts.feaasfbyb,se'], ['Testing', 'withers', 'like', 'a,', 'bdf,', 'hlp'], 5, 1, ['dThis', 'text', 'contains', 'no', 'whitespaces', 'but', 'has', 'commas,a', 'period,', 'and', 'odd-order', 'lowercase', 'letters', 'such', 'as', 'bd,', 'fhhj,', 'and', 'nprtvxz'], 5, 7, ['2021', 'pnepneumonoultramicroscopicsilicovolcanoconiosis', 'uo'], ['This', 'text', 'contains', 'no', 'whuaPython', '3.9.7', '(dshouldefauspaccocmmaseslt,', 'Sep', '26', '2021,', '08:14:53)', '[MS', 'C', 'v.1916', '64', '(AMD464)]', ',itespaces', 'but', 'has', 'commas,a', 'period,', 'anad', 'odd-order', 'lowercase', 'letters', 'such', 'as', 'bd,', 'fhhj,', 'and', 'nprtvxz'], 12, 2, ['Testing', 'Jh', 'when', 'None', 'is', 'psed', 'as', 'tspaspsos,cevparameter.1916s,Testinaserrorhe', 'input', 'parameteir'], ['jwzfx14miis', 'yqki'], ['dThis', 'text', 'contains', 'no', 'whitespaces', 'but', 'has', 'commas,a', 'period,', 'and', 'odd-oretters', 'such', 'as', 'bd,', 'fhhj,', 'and', 'nprtvxz'], 4, 5, ['Testing', 'Jhmlerror', 'handling', 'when', 'None', 'is', 'passed', 'as', 'the', 'inpNodtexxtmetter'], ['A', 'nice', 'list', 'of', 'words', 'like', 'antidisestablishmentairian', 'floccinaucinihilipilification,', 'supertcalifragilisticexpialidocious'], ['Testihlpng', 'Jh', 'when', 'None', 'is', 'psed', 'as', 'tspaspsos,ces,Testinaserrorhe', 'input', 'parameter'], 0, ['A', 'nice', 'list', 'of', 'words', 'like', 'antildisestablishmentarianism,', 'pneumonoulNodteaand021,xttramicroscopABCDEFJhmlerrorGicsilicovolcanoconiosis,', 'floccinaucinihilipilification,', 'supertcalifragilsisticexpialidocious'], ['ase(efault,ntadnA', 'nice', 'list', 'of', 'words', 'like', 'antidisestablishmentarian', 'floccinaucinihilipilification,', 'supertcalifragilisticexpialidociousd,s'], ['A', 'nice', 'list', 'of', 'words', 'like', 'antidisestablishmentarianism,', 'pneumas,words,andono', 'supertcalifragilisticeA', 'nice', 'list', 'of', 'words', 'li,ke', 'antidisestablishmentarianism,', 'pneumonoucltramicroflJhml', 'ed!vhllxblxyqv', 'sesd;', 'b', 'o', 'jwzfxwpfxyqki', 'gq', 'trrfh.vph', 'xdkaTesting', 'with', 'spsos,', 'commas', 'and', 'd-order', 'lowercase', 'letthandlingers', 'like', 'a,', 'bdf,', 'hjklpzrwhvui', 'k', 'v!mll!d', 'eh!m,r', 'd', 'zryebaproyqtmq.', 'mplizuvx;z', 'dz.olhjcymqpz,Testing', 'with', 'spsos,', 'commas', 'and', 'd-order', 'lowercase', 'letters', 'like', 'a,', 'bdf,', 'hjklpwnfx;lz.iwrohveybkgts.feaasfbyb,occinaucinihilipilification,scopicsilicovolcanoconiosis,', 'floccinaucisnihilipilification,', 'supertcalifragilisticexpialidociousxpialidocious'], ['ssspsa45', '467s890upertcalifragiliusticexpialidocious'], ['this,shouTesting', 'with', 'spsos,', 'commas', 'and', 'd-order', 'lowercase', 'letters', 'like', 'a,', 'bdf,', 'hjklpd'], ['Testing', 'switth', 'spaces,', 'commas', 'and', 'd-orderbsdf,', 'hjklp'], ['This', 'text', 'contains', ',em,rno', 'whitespaces', 'but', 'has', 'ccommas,a', 'period,', 'anPython', '3.9.7', '(dshouldeffault,', 'Sep', '126', '2021,', '08:14:53)', '[MSC', 'v.1916', '64', 'bit', '(AMD64)]', 'd', 'odd-order', 'lowercasel', 'letters', 'esuch', 'as', 'bd,', 'fhhj,', 'and', 'nprtvxz'], 6, ['pneumonoultramicroswtiwiththcopABCDEFJhmlerrorGicsilicovolcanoconiosis', 'm', 'r'], ['nantidA', 'mix', 'of', 'spaces', 'and', 'commas', 'a,like', 'this,should', 'sspa45,67890isestablishmentarianism,26o'], 1, ['dThis', 'text', 'contains', 'no', 'whitespaces', 'but', 'has', 'commas,a', 'period,', 'and', 'odd-oretters', 'such', 'as', 'Testing', 'error', 'handling', 'when', 'None', 'is', 'passed', 'asameterbd,', 'fhhj,', 'and', 'nprtvxz'], ['psTesting', 'swith', 'spaces,', 'commas', 'and', 'd-orderbsdf,', 'hjklpeed'], ['ase(efault,ntadnA', 'nice', 'list', 'of', 'words', 'like', 'antidisestablishmentarian', 'floccinaucinihilipilification,', 's(dshoiuldefault,upertcalifragilisticexpialidociousd,s'], 6, 10, ['ase(defwhitespacexvparams', 'ault', 'ntand', 's'], ['Python', '3.9.7', '(dshouldefault,', 'Sep', '262', '2021,', '08:14:53)', '[MSC', 'v.1916', '64', 'bit', '(AMD64)]'], ['A', 'mix', 'of', 'spaces', 'and', 'commas', 'a,like', 'this,should', 'sTesting', 'Jhmlerror', 'handling', 'when', 'Nod', 'as', 'the', 'input', 'parametterspa45,67spsos,890'], ['spaspseos,ces,Testinasthis,shouTesting', 'with', 'spsos,', 'commas', 'and', 'd-order', 'lowercase', 'letters', 'like', 'a,', 'bdf,', 'hjklpderror'], ['Nodte2021', 'ase(defwhitespaces', 'eault', 'ntand', 'sxt'], 5, 1, ['a', 'lilkA'], ['ssspsa45', '467s8and90upertcalifragiliusticexpialidocious'], ['Testing', 'swith', 'spaces,A', 'mix', 'of', 'spaces', 'and', 'co', 'mmas', 'a,like', 'this,should', 'split', 'as,wo(default,rds,a1nd', 'numbers', 'like', '12345,67890', 'commas', 'and', 'd-orderbsdf,', 'hjklp'], ['NPython', '3.9.7', '(dshouldefault,', 'Sep', '26', '2021,', '08:14:53)', '[MSC', 'v.1916', '64jwzfxwpfxyqpki', 'bit', '(AMD64)]', 'hjklpoonee'], ['ase(efault,ntadnA', 'nice', 'list', 'of', 'words', 'like', 'antidisestablishmentarian', 'floccinaucinihilipilification,', 'supertcaliifragilisticexpialidociousd,s'], ['dThis', 'text', 'contains', 'no', 'whitespaces', 'but', 'has', 'commas,a', 'period,', 'and', 'odd-oretters', 'such', 'as', 'Testing', 'error', 'handling', 'when', 'None', 'is', 'passed', 'asameterbd,', 'fhhjrtvxz']]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(split_words)
print('___SENTINEL___')
| 874ba930967a0fbe70a7b2ee9c7bebb7 |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-4
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-04, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [['Hello world!'], ['Hello,world!'], ['abcdef']]
results = [['Hello', 'world!'], ['Hello', 'world!'], 3]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(split_words)
print('___SENTINEL___')
| 9447f5109af079711bf138868f146d50 |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-6
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-07, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[[5]], [[1, 2, 3, 4, 5]], [[1, 3, 2, 4, 5]], [[1, 2, 3, 4, 5, 6]], [[1, 2, 3, 4, 5, 6, 7]], [[1, 3, 2, 4, 5, 6, 7]], [[]], [[1]], [[3, 2, 1]], [[1, 2, 2, 2, 3, 4]], [[1, 2, 3, 3, 3, 4]], [[1, 2, 2, 3, 3, 4]], [[1, 2, 3, 4]], [[1, 2, 3, 4, 5, 6, 7, 8]], [[8, 7, 6, 5, 4, 3, 2, 1]], [[1, 2, 2, 2, 2, 3, 4]], [[1, 1, 2, 2, 3, 3, 4]], [[1, 2, 3, 3, 3, 3, 3]], [[3, 3, 3, 3, 2, 2, 2, 2, 1, 1]], [[1, 1, 2, 3, 4]], [[4, 3, 2, 1]], [[1, 2, 2, 3, 4, 4, 5]], [[1, 0, 2, 3, 4]], [[1, 1, 2, 3, 5]], [[4, 3, 2]], [[4, 1, 3, 2]], [[1, 0, 2, 3]], [[1, 1, 2, 3, 4, 4]], [[1, 2, 3, 4, 5, 6, 7, 4, 8, 8]], [[8, 7, 6, 5, 4, 1, 3, 2]], [[8, 6, 5, 4, 3, 2, 1]], [[1, 1, 2, 2, 3, 3, 5, 4]], [[8, 6, 4, 3, 2, 1, 6]], [[5, 3, 2]], [[1, 2, 3, 6, 4, 5, 6, 7, 4, 8, 8]], [[1, 2, 3, 4, 5, 6, 4, 8]], [[8, 7, 6, 5, 4, 3, 2, 1, 5]], [[1, 2, 3, 3, 3, 3, 3, 3]], [[8, 8, 6, 5, 4, 3, 2, 1]], [[8, 8, 6, 5, 7, 6, 2, 1]], [[8, 7, 6, 5, 4, 3, 2, 6, 5]], [[8, 8, 6, 5, 4, 2, 2, 1, 8, 4]], [[8, 6, 8, 6, 5, 4, 3, 2, 1]], [[8, 8, 6, 5, 4, 2, 2, 1, 8, 4, 5, 4]], [[1, 1, 2, 2, 2, 3, 4]], [[8, 1, 6, 8, 6, 5, 4, 3, 2, 1]], [[8, 7, 4, 3, 2, 6, 5]], [[1, 0, 2, 4, 4]], [[1, 2, 3, 4, 5, 6, 7, 4, 8, 8, 2]], [[1, 2, 1, 2, 2, 3, 3, 5, 4]], [[3, 1, 3, 2]], [[1, 1, 2, 2, 2, 3, 4, 3]], [[4, 3, 2, 4, 3]], [[8, 8, 6, 5, 4, 3, 2, 1, 6]], [[1, 2, 2, 3, 7, 4, 5]], [[8, 6, 8, 6, 5, 4, 3, 2, 8, 1]], [[1, 2, 2, 2, 3, 3, 5, 4]], [[8, 7, 4, 3, 2, 6, 5, 6]], [[7, 4, 3, 2, 6, 5, 6]], [[0, 3, 2]], [[8, 1, 6, 2, 8, 6, 5, 4, 3, 2, 1]], [[1, 5, 5, 2, 3, 4, 5, 6, 7, 8]], [[8, 8, 6, 5, 4, 5, 1]], [[8, 8, 5, 4, 2, 2, 1, 8, 4, 5, 4]], [[4, 1, 2, 3, 4, 5, 6, 7, 8]], [[1, 2, 2, 3, 4, 5, 4, 5]], [[1, 2, 1, 5, 2, 6, 3, 8, 5, 4]], [[8, 8, 6, 5, 4, 2, 2, 1, 8, 4, 5, 4, 5]], [[1, 8, 6, 5, 4, 3, 2, 1]], [[1, 2, 2, 3, 5, 4, 5]], [[0, 2, 3, 4]], [[1, 2, 2, 3, 7, 4, 5, 2]], [[8, 6, 6, 5, 4, 3, 2, 8, 1, 4]], [[1, 8, 6, 5, 4, 2, 1]], [[8, 6, 8, 6, 5, 8, 4, 3, 2, 8, 1, 4]], [[1, 2, 2, 3, 4, 5, 5]], [[8, 8, 6, 5, 4, 3, 1]], [[0, 3]], [[2]], [[8, 7, 6, 5, 4, 3, 2, 6, 5, 2]], [[1, 0, 2, 4, 3]], [[1, 2, 3, 4, 5, 6, 7, 4, 8, 8, 1, 6]], [[5, 5, 5, 2, 3, 4, 5, 6, 8]], [[1, 8, 6, 5, 8, 3, 2, 1]], [[8, 7, 6, 5, 4, 3, 2, 1, 5, 1]], [[1, 2, 2, 2, 3, 3, 5, 4, 1]], [[8, 8, 6, 5, 4, 3, 2, 1, 4]], [[8, 7, 6, 5, 4, 3, 3, 1, 5]], [[8, 8, 6, 5, 4, 2, 2, 1, 8, 4, 5, 4, 6]], [[1, 2, 4, 3, 3, 3, 3, 7]], [[1, 2, 4, 3, 3, 3, 2, 3, 7]], [[5, 5, 5, 2, 3, 4, 6, 6, 8]], [[6, 3, 2, 4, 3]], [[8, 8, 5, 4, 2, 2, 1, 8, 4, 5, 4, 5]], [[8, 6, 8, 5, 4, 2, 1]], [[1, 2, 3, 3, 3, 3, 3, 1]], [[8, 8, 6, 5, 4, 3, 2, 1, 7]], [[1, 2, 2, 2, 3, 3, 5, 4, 1, 2]], [[0, 2, 2, 3, 4, 4, 5]], [[8, 8, 5, 4, 2, 2, 1, 8, 4, 5, 1, 5, 1]], [[5, 8, 7, 6, 4, 3, 2, 1, 5, 1]], [[1, 2, 2, 3, 5, 5]], [[5, 0, 2, 3, 0, 5, 6, 0, 8]], [[8, 4, 3, 2, 1, 6, 1]], [[8, 6, 5, 4, 2, 2, 1, 8, 4, 5, 4]], [[5, 8, 6, 4, 4, 2, 1, 5, 1, 6]], [[5, 4, 3, 2, 1]], [[1, 2, 1, 2, 2, 3, 3, 5, 1, 4]], [[8, 6, 5, 8, 3, 2, 1]], [[5, 0, 2, 3, 0, 5, 6, 0, 8, 0]], [[1, 1, 1, 2, 3, 4, 4]], [[5, 5, 5, 2, 3, 4, 6, 8]], [[0, 0, 2, 2, 4, 4, 4]], [[1, 1, 1, 2, 2, 2, 3, 3, 3]], [[1, 2, 2, 2, 2, 2, 2, 3]], [[1, 2, 2, 2, 3, 3, 3, 3, 3]], [[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 10]], [[1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2]], [[1, 1, 1, 1, 1, 1]], [[7, 3, 10, 8, 2]], [[2, 3, 4, 4, 4, 4, 4, 4, 5, 6]], [[1, 2, 3, 5, 4, 6, 7, 8, 9, 10, 11]], [[1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2]], [[1, 1, 4, 1, 1, 1, 1]], [[0, 0, 2, 4, 4, 4]], [[12, 1, 1, 3, 5, 4, 6, 7, 8, 9, 10, 11]], [[7, 3, 5, 10, 8, 2, 2]], [[1, 2, 2, 2, 2, 2, 1, 2, 3]], [[2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 6]], [[1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2]], [[1, 2, 3, 5, 4, 6, 7, 8, 9, 11]], [[1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2]], [[1, 1, 1, 1, 9, 1]], [[1, 2, 2, 2, 2, 2, 2, 1]], [[1, 2, 3, 5, 4, 6, 3, 7, 8, 9, 11]], [[1, 2, 3, 5, 4, 5, 6, 7, 8, 9, 10, 10]], [[1, 2, 2, 2, 2, 2, 1, 2, 3, 2, 2]], [[7, 7, 10, 8, 2, 2]], [[1, 1, 1, 2, 2, 2, 3, 3, 2]], [[2, 3, 4, 4, 4, 4, 4, 5, 5, 6]], [[7, 7, 10, 8, 2, 2, 11, 7]], [[1, 1, 2, 1, 8, 1, 1, 0, 9, 1, 2, 2, 2, 2, 2, 2]], [[1, 2, 2, 2, 3, 3, 3, 3, 3, 1]], [[1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2]], [[1, 2, 8, 3, 5, 4, 5, 6, 7, 8, 9, 10, 10]], [[1, 2, 3, 5, 4, 5, 10, 6, 10, 7, 8, 9, 10, 10]], [[1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2]], [[1, 2, 8, 3, 5, 4, 5, 6, 7, 8, 9, 10, 10, 7]], [[1, 2, 2, 2, 2, 2, 1, 2, 3, 2]], [[2, 3, 4, 4, 4, 4, 4, 4, 8, 4, 5, 4]], [[7, 3, 8, 2]], [[1, 1, 1, 2, 2, 2, 3, 3, 1]], [[1, 2, 2, 2, 2, 11, 2, 2, 1, 2]], [[1, 2, 3, 5, 4, 5, 6, 7, 8, 9, 10, 10, 4]], [[1, 2, 2, 2, 2, 11, 10, 2, 1, 2, 2]], [[7, 3, 10, 0, 2]], [[1, 1, 4, 1, 1, 1, 1, 1]], [[1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 6, 2]], [[1, 12, 2, 3, 3, 3, 3, 3]], [[1, 1, 4, 1, 1, 1, 0]], [[1, 1, 2, 1, 2, 2, 2, 3, 3, 1]], [[2, 3, 8, 2]], [[7, 7, 10, 8, 2, 3, 11, 7]], [[1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2]], [[2, 3, 7, 4, 4, 4, 4, 4, 4, 8, 4, 5, 4]], [[1, 2, 2, 3, 3, 3, 3, 3, 1]], [[1, 2, 2, 2, 11, 10, 2, 1, 2, 2, 2, 2]], [[12, 1, 3, 5, 4, 6, 7, 8, 9, 10, 11]], [[1, 2, 8, 4, 5, 4, 5, 6, 7, 8, 9, 10, 10]], [[1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0]], [[1, 2, 2, 2, 6, 2, 1, 3, 2, 2]], [[1, 1, 4, 1, 1, 1, 1, 5, 1]], [[0, 0, 2, 4, 4]], [[1, 2, 8, 4, 5, 4, 5, 6, 7, 8, 3, 10, 10, 5]], [[1, 1, 1, 2, 2, 3, 3, 1]], [[1, 2, 3, 5, 4, 6, 7, 8, 9, 11, 1]], [[1, 2, 3, 5, 4, 6, 7, 2, 8, 9, 10, 11]], [[2, 3, 4, 4, 4, 4, 4, 4, 1, 8, 4, 5, 4]], [[1, 2, 3, 5, 4, 6, 7, 2, 8, 9, 10, 10, 11]], [[1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1]], [[1, 1, 4, 1, 2, 1, 1]], [[1, 1, 4, 1, 1, 1]], [[1, 4, 1, 1, 1, 1, 1]], [[1, 1, 3, 5, 4, 6, 7, 2, 8, 9, 10, 11]], [[1, 1, 4, 2, 1, 1, 1]], [[0, 2, 4, 4]], [[2, 3, 4, 4, 4, 4, 4, 1, 8, 4, 5, 4, 4]], [[1, 2, 3, 5, 4, 6, 7, 8, 9, 7, 11, 1]], [[9, 1, 2, 2, 2, 3, 3, 3, 3, 12]], [[1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0]], [[1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2]], [[1, 2, 3, 5, 4, 6, 7, 1, 8, 9, 10, 11, 8, 7]], [[1, 1, 1, 1, 1, 2, 2, 2, 11, 2, 2]], [[1, 1, 1, 1, 2, 2, 2, 3, 1]], [[1, 1, 2, 1, 2, 2, 2, 3, 3, 2]], [[1, 2, 12, 3, 5, 4, 5, 6, 7, 8, 9, 10, 10]], [[1, 6, 4, 4]], [[1, 2, 10, 5, 4, 6, 7, 3, 9, 11, 1]], [[9, 1, 2, 2, 2, 3, 3, 3, 3, 12, 12, 12]], [[2, 4, 4, 4, 4, 4, 4, 4, 5]], [[1, 1, 4, 1, 2, 2, 1, 1]], [[1, 2, 3, 5, 4, 6, 3, 7, 8, 9, 11, 2, 2]], [[1, 1, 1, 1, 2, 2, 2, 3, 3, 2]], [[1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1]], [[5, 12, 2, 3, 4, 4, 4, 4, 4, 1, 8, 4, 5, 4, 4]], [[2, 3, 4, 3, 4, 4, 4, 4, 4, 5]], [[1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1]], [[2, 7, 4, 4, 4, 4, 4, 4, 1, 8, 4, 5, 4, 1]], [[2, 3, 7, 4, 4, 4, 4, 4, 4, 8, 4, 5, 4, 4, 7]], [[1, 2, 5, 4, 6, 7, 1, 9, 3, 11, 8, 7]], [[1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1]], [[1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 2, 2, 2]], [[1, 2, 4, 6, 7, 1, 7, 11, 8, 7]], [[3, 4, 4, 4, 4, 4, 8, 4, 5, 4]], [[1, 1, 1, 2, 2, 1, 3, 3, 3]], [[1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2]], [[2, 3, 4, 4, 4, 4, 4, 1, 8, 4, 5, 4]], [[1, 1, 1, 1, 2, 2, 3, 3, 2]], [[1, 1, 1, 1, 9]], [[2, 2, 2, 2, 2, 2, 1, 2, 3, 2]], [[3, 4, 4, 4, 4, 8, 4, 5, 4]], [[1, 1, 2, 1, 2, 2, 2, 3, 1, 3, 1]], [[8, 1, 2, 10, 5, 4, 6, 7, 3, 9, 11, 1, 7]], [[2, 3, 7, 4, 4, 4, 4, 4, 4, 8, 4, 5, 4, 4, 7, 5]], [[2, 2, 2, 2, 2, 2, 1, 2, 4, 2]], [[1, 1, 2, 1, 2, 2, 2, 3, 1, 3, 1, 2]], [[1, 0, 1, 1, 2, 2, 2, 3, 3, 3]], [[1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2]], [[3, 2, 2, 2, 2, 2, 1, 2, 3, 2]], [[1, 1, 1, 2, 2, 2, 3, 1]], [[2, 2, 2, 11, 10, 2, 1, 2, 2, 2, 2]], [[1, 1, 1, 1, 1, 2, 2, 2, 11, 2, 2, 1]], [[1, 2, 4, 4, 5, 6, 7, 8, 3, 10, 10, 5]], [[2, 3, 2, 4, 4, 4, 4, 4, 4, 0, 5, 6]], [[2, 3, 4, 4, 4, 4, 4, 1, 8, 4, 5, 4, 3]], [[1, 1, 1, 1, 4]], [[7, 7, 10, 8, 10, 2, 11, 7, 7]], [[1, 1, 0, 4, 1, 1, 1]], [[1, 2, 4, 4, 5, 6, 7, 8, 3, 10, 10, 5, 4]], [[9, 2, 2, 2, 2, 3, 3, 3, 3, 12]], [[3, 1, 3, 4, 4]], [[1, 2, 3, 5, 4, 5, 6, 7, 8, 10, 10, 4]], [[1, 1, 1, 1, 1, 10, 1, 2, 2, 2, 2, 2, 2]], [[12, 1, 3, 5, 0, 6, 7, 8, 9, 10, 11]], [[4, 0, 0, 2, 4, 4, 4]], [[1, 1, 1, 1, 1, 10, 1, 2, 2, 2, 2, 2, 2, 1]], [[1, 2, 5, 6, 7, 1, 9, 3, 11, 8, 7]], [[1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 11, 2, 2, 6, 2]], [[1, 1, 0, 4, 1, 1, 0, 1]], [[2, 2, 2, 2, 2, 2, 1, 2]], [[1, 1, 4, 1, 2, 1, 1, 1]], [[1, 1, 11, 2, 1, 2, 2, 2, 3, 1, 3, 1]], [[1, 2, 2, 2, 2, 1, 1, 3]], [[1, 1, 1, 1, 8, 2, 2, 3, 3, 2]], [[1, 1, 8, 1, 1, 1, 1, 1]], [[1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 0, 2, 2, 1, 2, 0, 2]], [[1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 0, 2, 2, 1, 2, 0, 2, 2]], [[0, 0, 2, 4, 4, 2]], [[7, 7, 10, 8, 2, 2, 11, 7, 2]], [[1, 8, 4, 1, 1, 7, 1, 1, 1]], [[1, 1, 4, 1, 1, 2, 1, 1]], [[1, 1, 1, 2, 1, 7, 1, 1, 2, 2, 2, 11, 2, 2, 6, 2]], [[1, 2, 2, 2, 3, 3, 3, 9, 1]], [[2, 3, 7, 4, 4, 4, 4, 4, 4, 8, 2, 5, 4, 7]], [[1, 1, 1, 2, 2, 2, 3, 3, 2, 2]], [[2, 3, 4, 4, 4, 4, 4, 4, 1, 8, 4, 5, 4, 4]], [[1, 1, 1, 2, 2, 2, 3, 3, 3, 2, 2]], [[2, 2, 2, 1, 2, 2, 1, 2, 3, 2, 2]], [[11, 1, 1, 4, 1, 1, 0, 1, 0]], [[7, 7, 8, 2, 2, 11, 7]], [[1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1]], [[1, 2, 2, 3, 2, 6, 2, 1, 3, 2, 2]], [[3, 4, 4, 4, 4, 4, 8, 5, 10]], [[1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 5]], [[9, 1, 2, 3, 4, 6, 7, 8, 9, 11]], [[1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1]], [[7, 7, 10, 8, 2, 1]], [[6, 1, 2, 3, 5, 4, 6, 7, 1, 8, 9, 2, 10, 10, 11, 5]], [[1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2]], [[2, 3, 4, 4, 4, 4, 4, 4, 8, 4, 6, 4]], [[1, 2, 2, 3, 3, 3, 3, 3]], [[2, 2, 3, 2, 2, 1, 2]], [[1, 6, 4, 4, 1]], [[2, 3, 2, 4, 4, 4, 4, 4, 0, 5, 6]], [[1, 2, 2, 3, 3, 3, 3, 1]], [[3, 1, 3, 4, 4, 3]], [[1, 2, 2, 2, 11, 10, 2, 1, 2, 2, 2, 2, 2]], [[7, 7, 10, 8, 2, 3, 9, 7]], [[1, 2, 3, 5, 4, 6, 9, 7, 8, 9, 11, 1]], [[1, 1, 2, 2, 2, 3, 3, 2, 2, 2]], [[3, 1, 3, 7, 5]], [[1, 8, 4, 1, 1, 6, 1, 1, 1]], [[1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 8, 2]], [[1, 2, 8, 4, 5, 4, 5, 8, 9, 10, 10]], [[7, 7, 10, 8, 2, 2, 11, 4, 7, 7]], [[1, 1, 2, 6, 1, 3, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1]], [[2, 2, 2, 1, 2, 1, 2, 3, 2, 2]], [[5, 6, 4, 4, 1]], [[1, 2, 2, 3, 3, 3, 5, 3, 1]], [[1, 2, 5, 4, 6, 7, 1, 8, 9, 10, 11, 8, 7]], [[5, 6, 5, 0, 4, 4, 1]], [[1, 1, 1, 9]], [[1, 2, 3, 5, 6, 7, 8, 9, 7, 7, 11, 1]], [[1, 8, 4, 1, 0, 7, 1, 1]], [[1, 2, 1, 2, 2, 2, 3, 3, 1]], [[5, 6, 4, 4, 1, 1, 1]], [[0, 0, 3, 2, 4, 4, 2]], [[1, 1, 11, 4, 1, 1, 1, 1]], [[1, 2, 13, 3, 5, 4, 5, 6, 7, 8, 9, 10, 10, 9]], [[1, 12, 2, 3, 3, 2, 3, 3]], [[1, 1, 4, 1, 1, 1, 1, 1, 1]], [[1, 9]], [[1, 2, 8, 5, 5, 4, 5, 6, 7, 8, 3, 10, 10, 5]], [[2, 3, 4, 4, 4, 4, 4, 2, 1, 8, 0, 4, 5, 4, 4]], [[1, 1, 4, 1, 13, 1, 1, 0]], [[3, 3, 4, 4, 4, 4, 8, 4, 5, 4, 4, 8]], [[1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2]], [[1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1]], [[1, 1, 2, 1, 1, 2, 2, 3, 9, 8, 3, 1]], [[2, 3, 7, 4, 4, 4, 4, 4, 8, 4, 5, 4, 7, 5]], [[2, 1, 6, 1, 1, 1, 1]], [[2, 3, 4, 4, 4, 4, 4, 2, 1, 8, 0, 4, 9, 5, 4, 4]], [[1, 2, 2, 2, 2, 2, 2, 2, 3]], [[1, 13, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 2, 2, 2, 2]], [[1, 2, 3, 2, 5, 6, 7, 8, 10, 4]], [[1, 7, 4, 0, 1, 1, 1, 4]], [[1, 1, 2, 2, 2, 3, 3, 2, 2, 2, 2]], [[1, 1, 0, 4, 1, 1]], [[2, 2, 2, 2, 2, 1, 2, 4, 2]], [[3, 1, 3, 11, 4, 4, 3]], [[8, 1, 2, 10, 5, 4, 6, 9, 3, 11, 1, 7]], [[1, 3, 2, 2, 2, 1, 3]], [[5, 1, 1, 1, 1, 1, 1]], [[1, 2, 2, 2, 2, 2, 2, 2, 3, 1]], [[1, 2, 2, 2, 3, 3, 3, 3, 3, 1, 3]], [[7, 7, 10, 8, 2, 2, 7]], [[2, 3, 4, 4, 4, 4, 4, 4, 4, 3, 5, 6]], [[1, 2, 3, 5, 6, 7, 4, 8, 9, 7, 7, 11, 1, 5, 7, 7]], [[5, 6, 3, 4, 1]], [[8, 1, 2, 10, 5, 4, 6, 9, 9, 3, 11, 1, 7]], [[2, 8, 7, 4, 4, 4, 4, 4, 4, 1, 8, 4, 5, 4, 1, 5, 4]], [[1, 2, 3, 2, 5, 6, 7, 8, 10, 4, 2, 3]], [[1, 2, 2, 3, 3, 3, 3, 3, 3]], [[1, 1, 1, 5, 1, 2, 2, 2, 11, 2, 2, 1]], [[1, 3, 3, 4, 5, 6, 7, 8, 10, 10]], [[1, 7, 0, 1, 1, 1, 4]], [[1, 2, 4, 7, 4, 5, 6, 7, 8, 3, 10, 10, 5]], [[5, 2, 3, 4, 4, 4, 4, 4, 4, 8, 4, 6, 4]], [[2, 3, 4, 6, 4, 4, 4, 4, 1, 8, 4, 5, 4]], [[1, 2, 11, 3, 5, 4, 6, 7, 8, 9, 2]], [[1, 2, 2, 2, 3, 3, 3, 3, 3, 1, 3, 3]], [[9, 1, 2, 2, 2, 3, 3, 3, 3, 12, 9, 12, 12, 12]], [[1, 2, 3, 5, 4, 6, 7, 8, 11, 1]], [[5, 10, 1, 1, 1, 1, 1, 1]], [[1, 1, 1, 2, 3, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2]], [[1, 2, 3, 5, 4, 5, 6, 7, 8, 9, 10, 10, 4, 9]], [[1, 2, 11, 2, 2, 2, 2, 1, 2, 3]], [[1, 2, 3, 5, 4, 5, 10, 6, 10, 7, 8, 9, 2, 10, 10]], [[1, 1, 1, 10, 2, 5, 1, 3, 3, 3]], [[2, 3, 4, 4, 4, 4, 4, 2, 1, 4, 8, 0, 4, 9, 5, 4, 4]], [[7, 6, 7, 2, 10, 8, 2, 2]], [[3, 1, 7, 5]], [[1, 1, 1, 0, 2, 2, 2, 3, 3, 2]], [[1, 1, 1, 2, 2, 1, 3, 3, 3, 2]], [[1, 2, 8, 5, 5, 4, 5, 6, 7, 8, 3, 10, 5, 5]], [[1, 6, 1, 1, 1, 1]], [[3, 0, 3, 7, 5, 3, 0]], [[1, 6, 4]], [[8, 1, 2, 13, 5, 4, 6, 7, 9, 11, 7, 4]], [[2, 3, 4, 4, 4, 4, 4, 1, 8, 4, 5, 4, 4, 4]], [[9, 1, 2, 2, 2, 3, 3, 3, 3, 12, 9, 2, 12, 12, 12]], [[1, 2, 3, 5, 4, 5, 6, 8, 10, 10, 4, 8]], [[3, 3, 4, 4, 4, 4, 8, 4, 5, 4, 3, 4, 8]], [[1, 2, 3, 5, 4, 6, 7, 8, 11, 1, 3]], [[2, 3, 4, 4, 4, 4, 4, 4, 8, 4, 6, 4, 4]], [[1, 1, 4, 10, 1, 2, 1, 1]], [[1, 1, 4, 1, 1, 2, 1, 1, 2]], [[9, 1, 2, 2, 2, 3, 3, 3, 3, 12, 9, 12, 12, 1, 12]], [[1, 1, 2, 2, 3, 3, 3, 3, 3, 1, 3]], [[1, 4, 4]], [[1, 2, 4, 4, 5, 6, 8, 8, 3, 10, 10, 5]], [[9, 1, 2, 2, 2, 3, 3, 3, 3, 12, 9, 12, 12, 1, 12, 3]], [[1, 1, 2, 1, 8, 1, 1, 0, 9, 1, 2, 2, 2, 2, 2, 2, 2]], [[1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 2, 2, 2, 2]], [[2, 4, 4, 4, 4, 4, 4, 1, 8, 4, 5, 4, 1, 4]], [[0, 0, 2, 4, 4, 4, 4]], [[1, 1, 1, 5, 1, 0, 2, 2, 2, 11, 2, 2, 1]], [[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 9]], [[1, 7, 7, 10, 8, 2, 3, 11, 7]], [[1, 2, 8, 3, 5, 4, 5, 6, 8, 9, 10, 10, 7, 9]], [[1, 2, 3, 5, 6, 7, 8, 9, 7, 7, 11, 1, 2]], [[7, 7, 2, 10, 8, 2, 2]], [[1, 2, 3, 3, 5, 6, 7, 8, 9, 7, 7, 11, 1, 1]], [[2, 2, 2, 2, 2, 11, 2, 2, 1, 2]], [[1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1]], [[1, 1, 1, 2, 2, 13, 3, 3, 1]], [[1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 11, 2, 2, 6, 2]], [[1, 2, 3, 5, 4, 4, 6, 7, 8, 11]], [[1, 8, 4, 1, 1, 7, 1, 1, 1, 1]], [[1, 1, 1, 3, 2, 2, 3, 1, 2]], [[9, 1, 2, 2, 2, 3, 3, 3, 3, 12, 9, 12, 12, 12, 12]], [[1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 6, 2, 2]], [[1, 2, 3, 5, 4, 5, 6, 7, 8, 10, 10, 10]], [[1, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 3]], [[1, 1, 4, 1, 1, 2, 1, 1, 13, 2, 1]], [[1, 2, 3, 2, 3, 3, 3, 3, 3, 1, 3]], [[1, 1, 1, 1, 1, 10, 1, 2, 2, 2, 2, 2, 1]], [[1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 0, 2, 2, 1, 0, 2, 2]], [[1, 2, 11, 3, 5, 4, 6, 7, 9, 2]], [[1, 2, 3, 5, 4, 6, 7, 11, 1]], [[1, 2, 8, 5, 5, 4, 5, 3, 7, 3, 10, 10, 5]], [[1, 2, 3, 5, 4, 6, 4, 7, 8, 8, 9, 10, 11]], [[1, 1, 8, 1, 1, 1, 1, 1, 1]], [[9, 2, 2, 2, 2, 3, 3, 3, 3]], [[1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1]], [[1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2]], [[2, 2, 2, 2, 2, 1, 2]], [[1, 13, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 2, 2, 2]], [[1, 2, 2, 2, 2, 2, 1, 2, 3, 2, 2, 2, 1, 1, 2]], [[1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1]], [[1, 1, 9]], [[2, 2, 4, 4, 4, 4, 4, 4, 4, 3, 5, 6]], [[3, 4, 4, 4, 4, 4, 1, 8, 4, 5, 4, 4, 4]], [[1, 2, 4, 4, 5, 12, 6, 7, 8, 3, 10, 10, 5, 4, 4, 8]], [[1, 2, 5, 4, 6, 7, 2, 1, 9, 3, 11, 8, 7]], [[1, 12, 2, 3, 3, 2, 3, 3, 9]], [[1, 2, 3, 5, 6, 7, 8, 9, 7, 11, 1, 2]], [[2, 2, 2, 3, 11, 10, 2, 1, 8, 7, 2, 2, 2, 2]], [[1, 1, 1, 10, 2, 5, 1, 3, 3, 3, 1]], [[1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2]], [[1, 1, 12, 4, 1, 2, 1, 1]], [[1, 2, 3, 5, 6, 7, 8, 5, 9, 7, 11, 1, 2]], [[9, 1, 2, 2, 2, 3, 3, 3, 3, 12, 2]], [[1, 2, 12, 3, 5, 4, 5, 6, 7, 8, 9, 10, 10, 10, 4]], [[1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 1, 2, 3, 2]], [[1, 11, 5, 2, 2, 2, 1, 2, 3]], [[1, 4, 2, 1, 2, 2, 2, 2, 3, 1, 3, 1]], [[1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 11, 2, 2, 6, 2]], [[7, 10, 8, 2, 3, 9, 7]], [[1, 2, 8, 1, 1, 1]], [[0, 0, 2, 4, 4, 4, 0]], [[1, 1, 2, 1, 2, 2, 2, 2, 3, 3, 1]], [[1, 2, 2, 3, 3, 3, 3, 3, 3, 3]], [[1, 2, 2, 2, 6, 2, 4, 1, 3, 2, 2]], [[1, 1, 0, 13, 4, 1, 1, 1]], [[1, 1, 2, 12, 1, 1, 1, 4, 1, 1, 2, 2, 2, 1, 2, 3, 2]], [[0, 0, 0, 2, 4, 4, 4]], [[2, 4, 4, 4, 8, 4, 4, 1, 4, 5, 4, 1, 4]], [[1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 6, 2, 1]], [[7, 7, 2, 10, 8, 2, 2, 2]], [[7, 10, 9, 2, 3, 9, 7]], [[1, 1, 2, 9]], [[1, 1, 1, 9, 1]], [[1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 0, 2, 2, 1, 0, 2]], [[1, 2, 5, 3, 5, 4, 5, 6, 7, 8, 9, 10, 10, 4, 9, 4]], [[12, 1, 3, 5, 0, 6, 7, 8, 9, 11]], [[1, 1, 11, 1, 9, 1]], [[1, 1, 2, 1, 3, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1]], [[1, 7, 5]], [[1, 2, 4, 5, 10, 7, 1, 7, 10, 8, 7]], [[1, 1, 2, 1, 1, 1, 1, 1, 3, 0, 0, 2, 2, 1, 0, 2, 2]], [[1, 4, 1, 2, 2, 1, 1, 1]], [[1, 1, 1, 1, 1, 2, 2, 2, 3, 1]], [[0, 2, 2, 3, 11, 3, 3, 3, 1]], [[1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2]], [[1, 1, 1, 2, 3, 2, 2, 3, 1, 2, 2]], [[12, 1, 3, 5, 6, 7, 8, 9, 10, 11, 9]], [[1, 2, 13, 3, 9, 5, 4, 5, 6, 7, 8, 9, 10, 10, 9]], [[1, 1, 1, 2, 3, 2, 2, 3, 1, 5, 2]], [[1, 1, 2, 2, 3, 3, 3, 3, 1, 3]], [[11, 2, 3, 5, 4, 6, 7, 8, 9, 10, 10, 4, 9]], [[1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2]], [[2, 2, 2, 1, 2, 2, 3, 2, 2]], [[9, 1, 4, 2, 2, 2, 3, 3, 3, 3, 12, 9, 12, 12, 12, 3]], [[2, 3, 4, 8, 4, 4, 4, 4, 4, 1, 8, 4, 0, 5, 4]], [[2, 3, 4, 4, 4, 4, 2, 1, 8, 0, 4, 5, 4, 4]], [[12, 1, 7, 3, 5, 4, 0, 6, 7, 8, 9, 10, 11]], [[7, 13, 7, 10, 8, 2, 2, 11, 7]], [[8, 4, 4, 4, 4, 4, 8, 4, 5, 4]], [[2, 4, 4, 5, 4, 4, 4, 4, 4, 5]], [[1, 2, 3, 5, 4, 4, 6, 7, 1, 8, 9, 10, 11, 8, 7]], [[1, 1, 1, 2, 2, 12, 3, 1]], [[1, 1, 1, 5, 1, 1, 10, 1, 2, 2, 2, 2, 2, 1, 2]], [[1, 2, 3, 5, 4, 6, 4, 7, 8, 8, 9, 10, 11, 8]], [[1, 13, 1, 1, 2, 1, 1, 4, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2]], [[1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1]], [[1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2]], [[1, 2, 3, 5, 4, 6, 7, 2, 1, 8, 9, 10, 10, 11]], [[1, 1, 1, 1, 2, 2, 2, 3, 1, 2, 5, 1]], [[7, 7, 10, 8, 1, 2, 11, 7, 2, 7]], [[1, 2, 4, 4, 5, 5, 12, 6, 10, 6, 8, 3, 10, 10, 5, 4, 4, 8]], [[7, 3, 5, 10, 13, 2, 2]], [[1, 8]], [[0, 9, 2, 4, 4]], [[1, 2, 8, 5, 5, 4, 5, 6, 7, 8, 3, 10, 10, 5, 7]], [[5, 12, 2, 3, 4, 4, 4, 4, 4, 4, 1, 8, 4, 5, 4, 4]], [[1, 1, 1, 2, 3, 2, 0, 2, 3, 1, 2, 2]], [[2, 3, 4, 4, 4, 4, 4, 1, 8, 4, 5, 4, 4, 4, 4]], [[3, 1, 2, 9]], [[1, 1, 1, 2, 1, 12, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2]], [[1, 0, 7, 1, 10, 2, 5, 1, 3, 3, 3, 1]], [[1, 2, 2, 2, 2, 2, 1, 2, 3, 2, 2, 2, 1, 1, 2, 2]], [[0, 2, 4]], [[2, 1, 0, 1, 1]], [[2, 3, 7, 4, 4, 4, 4, 4, 4, 8, 2, 5, 4, 7, 3]], [[2, 4, 4, 4, 4, 4, 4, 5]], [[3, 0, 9, 7, 5, 3, 0]], [[7, 3, 10, 0, 1, 2, 10, 10]], [[9, 1, 2, 2, 2, 3, 3, 3, 3, 3, 12, 9, 12, 12, 12]], [[2, 3, 4, 8, 4, 4, 4, 4, 4, 1, 8, 4, 0, 5, 5, 4]], [[0, 1, 4, 4]], [[3, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1]], [[3, 4, 13, 4, 4, 4, 8, 4, 5, 4, 8]], [[7, 7, 10, 2, 1]], [[2, 4, 3, 4, 4, 4, 4, 4, 4, 8, 4, 4]], [[1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 8, 2, 2, 1]], [[1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2]], [[1, 2, 3, 3, 3, 5, 3, 1, 3]], [[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 8, 8]], [[1, 1, 1, 1, 8, 2, 2, 3, 3]], [[1, 1, 1, 2, 3, 2, 2, 3, 2, 2]], [[1, 1, 2, 2, 6, 1, 3, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1]], [[2, 3, 7, 4, 4, 4, 4, 4, 8, 2, 5, 4, 7, 4]], [[1, 1, 1, 2, 2, 10, 3, 3, 3]], [[2, 3, 4, 4, 4, 4, 4, 4, 8, 4, 6]], [[13, 0, 7, 1, 10, 2, 5, 1, 3, 3, 3, 1]], [[1, 1, 12, 1, 1, 1, 4, 1, 1, 2, 2, 2, 1, 2, 3, 2]], [[1, 1, 2, 1, 3, 1, 4, 1, 1, 2, 2, 2, 1, 2, 3, 2]], [[2, 2, 2, 2, 2, 11, 2, 1, 9, 1, 2]], [[7, 7, 10, 8, 9, 2, 3, 11, 7]], [[1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0]], [[2, 0, 0, 2, 13, 4, 4, 4]], [[1, 2, 3, 5, 4, 6, 1, 2, 8, 9, 10, 10, 11, 1]], [[1, 3, 9]], [[2, 8, 7, 4, 4, 4, 4, 4, 4, 1, 8, 0, 5, 4, 1, 5, 4]], [[1, 1, 2, 12, 1, 1, 1, 4, 1, 1, 2, 2, 2, 1, 2, 3, 2, 2]], [[2, 3, 4, 4, 4, 4, 4, 5, 5, 2, 4, 6]], [[1, 2, 4, 4, 5, 5, 12, 6, 10, 4, 6, 8, 3, 10, 10, 5, 4, 4, 8]], [[1, 1, 4, 1, 1]], [[2, 2, 0, 0, 2, 13, 4, 4, 4]], [[1, 1, 4, 5, 1, 1, 1, 1, 1, 1, 5]], [[2, 2, 2, 2, 2, 2, 1, 2, 3, 2, 3]], [[9, 1, 2, 2, 2, 3, 0, 4, 3, 3, 3, 12, 2, 3]], [[2, 3, 4, 8, 4, 4, 4, 4, 1, 8, 4, 0, 5, 5, 4, 4]], [[5, 12, 2, 3, 4, 4, 4, 4, 4, 4, 1, 5, 8, 4, 5, 4, 4]], [[1, 4, 1, 1, 1, 1, 5, 1]], [[1, 2, 1, 2, 2, 2, 3, 3, 1, 3]], [[1, 1, 2, 1, 2, 1, 4, 1, 1, 2, 2, 2, 1, 2, 10, 2]], [[2, 2, 2, 2, 2, 11, 11, 2, 1, 9, 1, 2]], [[12, 1, 3, 5, 6, 7, 8, 9, 10, 11, 9, 1]], [[1, 1, 11, 4, 1, 1, 1, 1, 1]], [[1, 2, 3, 11, 4, 6, 4, 7, 8, 8, 9, 10, 11, 11]], [[12, 1, 3, 5, 6, 7, 8, 9, 10, 11, 9, 12]], [[2, 3, 7, 4, 4, 4, 4, 4, 4, 8, 5, 4, 4, 7]], [[1, 1, 1, 1, 5, 1, 2, 2, 2, 2, 2, 2]], [[1, 1, 1, 0, 1, 1]], [[7, 4, 3, 5, 10, 8, 2, 2]], [[1, 2, 8, 3, 5, 4, 5, 6, 7, 8, 12, 9, 10, 10]], [[1, 2, 2, 6, 2, 1, 3, 2, 2]], [[1, 1, 4, 5, 1, 1, 1, 1, 1, 1, 5, 5]], [[1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 8, 2]], [[1, 13, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2]], [[11, 2, 3, 4, 8, 4, 4, 4, 4, 4, 1, 8, 4, 0, 5, 5, 4]], [[1, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2]], [[1, 2, 13, 3, 5, 4, 5, 6, 6, 8, 9, 10, 3, 10, 9, 1]], [[1, 2, 2, 2, 3, 3, 3, 9, 1, 2]], [[9, 1, 11, 4, 1, 1, 1, 1]], [[1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2]], [[1, 2, 3, 5, 4, 6, 7, 1, 8, 9, 10, 11, 8, 7, 6]], [[3, 1, 1, 1, 1, 3, 1, 1, 1, 2, 0, 2, 2, 2, 9, 0, 2, 1, 1, 1]], [[2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 6, 3]], [[1, 2, 11, 3, 5, 10, 4, 6, 7, 8, 9, 2]], [[1, 8, 2, 8, 3, 5, 4, 5, 6, 7, 8, 9, 10, 10]], [[1, 2, 3, 5, 6, 7, 8, 9, 2, 11, 1, 2]], [[12, 1, 3, 6, 7, 8, 11, 11, 9, 1]], [[1, 2, 8, 5, 5, 4, 9, 5, 3, 7, 10, 10, 5]], [[1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1]], [[1, 2, 3, 5, 4, 6, 7, 11, 1, 2]], [[1, 1, 10, 1, 1, 2, 1, 1]], [[1, 2, 3, 5, 4, 6, 4, 7, 8, 8, 9, 10, 11, 8, 7]], [[12, 6, 1, 3, 5, 0, 6, 7, 8, 9, 11]], [[1, 2, 3, 5, 3, 3, 4, 5, 10, 6, 10, 7, 8, 9, 2, 10, 10]], [[3, 3, 0, 3, 7, 5, 3, 0]], [[2, 2, 2, 2, 1, 2, 2]], [[4, 9, 1, 2, 2, 2, 3, 3, 3, 3, 12, 9, 2, 12, 12]], [[1, 1, 2, 1, 1, 1, 1, 1, 12, 0, 2, 2, 2, 8, 0, 1, 0]], [[3, 4, 3, 0, 0, 2, 4, 4, 4, 4]], [[1, 1, 1, 5, 2, 5, 1, 3, 3, 3, 2]], [[2, 3, 7, 4, 4, 4, 4, 8, 2, 5, 4, 7, 4, 4, 7]], [[1, 2, 3, 5, 6, 4, 6, 7, 2, 8, 9, 10, 11]], [[1, 1, 2, 2, 6, 1, 3, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1]], [[1, 2, 3, 5, 4, 6, 7, 8, 9, 10, 9, 11]], [[1, 2, 3, 5, 4, 6, 7, 8, 11, 11, 1, 3]], [[1, 1, 1, 2, 2, 2, 3, 3]], [[8, 4, 4, 4, 4, 4, 8, 4, 5, 4, 4]], [[1, 1, 1, 1, 1, 2, 2, 11, 2, 2]], [[7, 10, 9, 3, 9, 7]], [[9, 1, 2, 2, 2, 2, 3, 0, 4, 3, 3, 3, 12, 2, 3]], [[1, 2, 3, 5, 4, 6, 7, 2, 9, 8, 9, 10, 10, 11]], [[1, 2, 4, 2, 2, 2, 1, 2, 3]], [[1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2]], [[1, 2, 4, 4, 6, 12, 6, 7, 8, 3, 10, 10, 5, 4, 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2, 2, 3, 4, 3, 5, 6, 7, 11, 8, 8, 10, 10, 8]], [[0, 0, 2, 2, 2, 11]], [[1, 2, 3, 6, 2, 6, 8, 9, 1, 10]], [[2, 3, 4, 6, 4, 4, 4, 4, 5, 6, 5, 3]], [[1, 2, 5, 4, 6, 7, 8, 10, 9, 1, 10, 3, 1, 6]], [[12, 2, 3, 4, 6, 6, 7, 8, 8, 10, 10, 7, 6, 4]], [[1, 2, 4, 5, 6, 7, 8, 9, 10, 8]], [[1, 2, 2, 4, 5, 6, 2, 8, 9, 10, 10, 8, 6, 4]], [[1, 2, 3, 5, 4, 6, 7, 8, 9, 10, 11, 1]], [[1, 2, 3, 5, 5, 7, 8, 9, 9, 10, 3]], [[1, 2, 3, 4, 5, 6, 6, 8, 9, 2, 10, 7, 10]], [[1, 2, 3, 5, 4, 6, 7, 8, 9, 2, 11]], [[1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 8, 2]], [[1, 2, 2, 3, 4, 5, 6, 7, 8, 9, 10, 10, 8, 9]], [[1, 2, 3, 3, 5, 6, 7, 8, 8, 10, 10, 8]], [[1, 3, 2, 3, 3, 3, 3, 3]], [[1, 2, 2, 2, 2, 2, 5, 3, 2]], [[2, 3, 2, 4, 5, 4, 4, 4, 5, 6, 4]], [[1, 2, 3, 8, 10, 6, 7, 8, 2, 8, 10, 10, 8]], [[1, 2, 3, 7, 8, 10, 9, 1, 10, 11, 1]], [[1, 2, 3, 5, 4, 6, 7, 11, 8, 9, 10, 11, 1]], [[1, 2, 3, 5, 4, 6, 7, 2, 6, 6, 9, 10, 11, 10, 9, 5]], [[2, 3, 4, 4, 4, 4, 4, 4, 5, 6, 5, 4, 4]], [[2, 4, 4, 5, 4, 4, 4, 5, 6, 5]], [[2, 3, 4, 5, 6, 7, 8, 9, 1, 10, 10, 1, 4, 9]], [[1, 12, 2, 3, 4, 2, 10, 6, 7, 8, 8, 10, 10, 7, 6, 4, 2]], [[9, 0, 2, 4, 0, 4, 2]], [[1, 2, 3, 4, 2, 9, 5, 6, 7, 9, 10, 10, 8, 6, 8, 6]], [[1, 2, 3, 5, 4, 6, 7, 6, 6, 9, 10, 11, 5, 10, 10, 5, 3, 6]], [[1, 2, 3, 5, 4, 6, 7, 6, 6, 9, 9, 10, 11, 10, 10, 5, 6, 1, 6]], [[1, 1, 3, 4, 5, 6, 7, 8, 9, 10, 10, 8, 6]], [[1, 1, 2, 3, 2, 2, 3, 3, 3, 2, 3]], [[1, 0, 2, 3, 4, 5, 6, 7, 7, 5, 8, 4, 9, 10, 10, 8]], [[1, 2, 2, 3, 4, 5, 6, 2, 8, 9, 4, 10, 5, 8, 6, 4, 9, 6]], [[1, 2, 3, 8, 5, 4, 6, 7, 6, 6, 9, 10, 11, 10, 10, 2]], [[5, 2, 2, 3, 3, 4, 3, 1, 3]], [[1, 2, 2, 4, 5, 6, 2, 8, 10, 10, 8, 6, 4]], [[1, 2, 3, 4, 5, 5, 6, 6, 8, 9, 1, 10, 10, 10, 9, 9, 2, 9]], [[12, 2, 2, 3, 4, 1, 6, 6, 8, 9, 10, 10, 8, 9]], [[1, 2, 5, 6, 7, 9, 1, 10, 3, 1]], [[0, 0, 2, 12]], [[1, 2, 4, 5, 6, 7, 8, 9, 1, 10, 7]], [[2, 3, 4, 4, 3, 6, 4, 4, 4, 4, 5, 6, 5]], [[0, 2, 2, 2, 2, 3]], [[1, 1, 2, 3, 5, 4, 6, 7, 2, 6, 6, 9, 10, 11, 10, 9, 5]], [[1, 2, 2, 8, 2, 2, 2, 2, 3, 2]], [[1, 2, 3, 4, 5, 6, 7, 8, 9, 1, 10, 9, 3]], [[0, 0, 2, 2, 4, 4, 11, 4, 0]], [[1, 2, 3, 4, 6, 7, 6, 6, 9, 10, 2, 11, 10, 6, 9, 10, 5]], [[1, 0, 2, 11, 2, 11, 0]], [[1, 2, 2, 4, 5, 6, 2, 8, 9, 10, 10, 8, 6]], [[1, 3, 4, 2, 9, 5, 6, 7, 9, 9, 10, 8, 6, 3, 4]], [[1, 2, 3, 4, 5, 6, 6, 8, 9, 1, 10, 10, 1]], [[1, 3, 5, 6, 3, 4, 3, 3, 6]], [[1, 12, 2, 3, 4, 6, 7, 8, 7, 10, 10, 4, 6, 4, 7]], [[1, 2, 4, 5, 6, 7, 9, 1, 10, 2, 1]], [[1, 2, 6, 3, 5, 5, 9, 5, 10, 10]], [[10, 0, 1, 1, 2, 0, 5, 4, 4, 0, 2]], [[1, 12, 2, 3, 4, 10, 6, 7, 11, 8, 8, 10, 10, 7, 6, 4, 7, 10, 10]], [[2, 7, 4, 4, 5, 4, 3, 4, 4, 4, 5, 6, 12, 5, 6]], [[1, 0, 2, 1, 2, 3, 4, 12, 5, 6, 7, 7, 5, 8, 4, 9, 2, 10, 10, 8]], [[0, 0, 1, 1, 0, 1, 1, 2, 2, 9, 1, 2, 2]], [[1, 12, 2, 3, 4, 2, 6, 6, 8, 8, 10, 10, 7, 4, 2]], [[1, 2, 4, 5, 6, 7, 8, 9, 10, 1, 10, 10]], [[0, 6, 2, 2, 4, 4, 11, 4, 4, 4]], [[9, 0, 2, 4, 4, 0, 2, 4, 2]], [[1, 2, 5, 3, 4, 5, 6, 6, 8, 9, 1, 10, 10]], [[2, 7, 3, 4, 5, 6, 7, 8, 9, 1, 10]], [[7, 0, 2, 3, 4, 5, 6, 7, 8, 8, 9, 2, 10]], [[1, 9, 4, 9, 6, 7, 7, 8, 9, 9, 10, 8]], [[0, 3, 11, 11]], [[2, 1, 3, 5, 6, 3, 4, 3, 3, 6]], [[2, 3, 4, 4, 5, 4, 6, 9, 4]], [[1, 2, 4, 5, 6, 7, 8, 9, 10, 1, 10, 3, 10]], [[1, 2, 4, 5, 6, 7, 8, 9, 1, 10, 10]], [[0, 3, 11, 11, 11]], [[1, 2, 3, 4, 6, 7, 8, 8, 10, 10, 7, 6, 4, 10, 8]], [[1, 2, 3, 5, 4, 6, 7, 8, 9, 2, 11, 5]], [[1, 3, 2, 3, 3, 3, 3, 0]], [[1, 8, 2, 3, 6, 6, 8, 4, 10, 10, 8, 6, 1]], [[1, 2, 3, 4, 2, 9, 5, 6, 7, 9, 10, 2, 10, 8, 6, 8, 5]], [[1, 2, 2, 3, 4, 5, 6, 2, 8, 10, 10, 8, 6, 4, 2]], [[1, 2, 3, 4, 5, 6, 7, 9, 10, 10, 8, 8]], [[3, 2, 1, 3, 6, 6, 3, 4, 3, 3, 6, 5]], [[11, 1, 2, 3, 5, 4, 6, 7, 8, 9, 2, 11]], [[5, 5, 2, 3, 4, 5, 4, 4, 6, 4, 5, 6, 5]], [[1, 2, 2, 3, 4, 6, 6, 2, 8, 9, 4, 10, 5, 8, 6, 4, 9, 6, 6]], [[1, 2, 4, 5, 6, 9, 7, 8, 9, 1, 5, 10, 5, 1, 4]], [[1, 12, 2, 3, 4, 2, 10, 6, 7, 10, 7, 6, 8, 4]], [[0, 0, 1, 2, 11, 2]], [[5, 6, 0, 2, 11, 10]], [[0, 2, 2, 2, 2, 2, 11, 2]], [[1, 13, 2, 3, 4, 2, 10, 6, 7, 6, 8, 8, 10, 10, 7, 6, 4, 6]], [[1, 9, 4, 5, 6, 7, 8, 9, 1, 10, 10]], [[1, 3, 5, 6, 3, 4, 3, 3, 6, 5, 5]], [[5, 2, 6, 0, 2, 11, 10]], [[8, 2, 3, 7, 8, 9, 1, 10, 3, 1, 3]], [[1, 2, 4, 5, 6, 7, 7, 8, 9, 9, 10, 7]], [[2, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 3]], [[2, 3, 4, 4, 3, 6, 4, 4, 4, 4, 5, 5]], [[5, 5, 2, 3, 4, 5, 4, 7, 4, 6, 4, 5, 6, 5]], [[1, 2, 2, 3, 9, 4, 3, 4, 6, 7, 8, 13, 8, 10, 10, 8]], [[1, 2, 3, 5, 4, 6, 7, 6, 6, 9, 10, 6, 11, 11, 10, 10]], [[1, 2, 2, 2, 2, 9, 2, 3]], [[1, 2, 3, 4, 2, 9, 5, 6, 7, 9, 10, 2, 10, 8, 6, 8, 10]], [[1, 12, 2, 3, 4, 6, 7, 8, 7, 10, 10, 5, 6, 4, 7]], [[1, 3, 2, 6, 3, 3, 3, 6, 3]], [[1, 2, 3, 6, 2, 6, 9, 1, 10]], [[1, 2, 3, 6, 2, 6, 8, 9, 12, 10]], [[2, 4, 4, 5, 6, 7, 8, 9, 10, 10, 1, 4, 9]], [[1, 2, 3, 4, 2, 9, 5, 6, 7, 9, 10, 10, 6, 11, 6]], [[1, 1, 4, 4, 2, 3, 3, 3, 3, 3, 3, 3, 2, 3]], [[1, 6, 9, 4, 6, 7, 8, 9, 1, 10, 10, 6]], [[2, 4, 3, 4, 4, 4, 4, 4, 4, 5, 6, 5]], [[2, 2, 2, 2, 2, 11, 2, 2]], [[10, 1, 3, 4, 1, 2, 9, 5, 6, 7, 9, 10, 10, 8, 6]], [[9, 0, 2, 4, 4, 0, 2, 4, 2, 4]], [[2, 7, 4, 4, 4, 4, 3, 4, 4, 4, 6, 12, 5, 6]], [[5, 2, 2, 3, 5, 3, 4, 3, 3, 3]], [[4, 5, 2, 3, 4, 5, 4, 4, 6, 4, 5, 6, 5]], [[1, 2, 3, 4, 10, 6, 6, 8, 8, 10, 10, 7, 4, 2]], [[6, 10, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]], [[1, 2, 4, 2, 2, 3, 0, 8, 3, 3, 3, 3, 1, 4]], [[1, 2, 3, 4, 5, 6, 6, 8, 9, 1, 10, 10, 10]], [[1, 2, 3, 4, 10, 6, 6, 6, 8, 8, 10, 10, 7, 4, 2]], [[1, 2, 3, 7, 9, 9, 1, 10, 3, 1, 1]], [[7, 0, 0, 2, 4, 4, 0, 4, 0]], [[2, 3, 4, 4, 4, 4, 8, 4, 4, 12, 6]], [[5, 0, 2, 2, 3]], [[2, 3, 4, 4, 5, 4, 4, 4, 4, 5, 6, 5, 5, 4, 5]], [[1, 2, 3, 4, 5, 6, 7, 7, 9, 1, 10, 10]], [[1, 12, 2, 3, 4, 2, 11, 6, 7, 10, 7, 6, 8, 4]], [[1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1]], [[1, 2, 3, 4, 10, 6, 6, 8, 8, 10, 10, 4, 2]], [[1, 12, 2, 4, 2, 10, 6, 7, 8, 8, 10, 7, 6, 4]], [[1, 2, 2, 3, 5, 6, 2, 8, 9, 10, 10, 8, 6, 4, 9, 10]], [[7, 0, 2, 3, 4, 5, 2, 6, 7, 8, 9, 2, 10, 3]]]
results = [True, True, False, True, True, False, True, True, False, False, False, True, True, True, False, False, True, False, False, True, False, True, False, True, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False, False, False, False, True, False, True, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(is_sorted)
print('___SENTINEL___')
| 5f228a2b304ae7b9a36884ae1846dc6c |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-4
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-04, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[[5]], [[1, 2, 3, 4, 5]], [[1, 3, 2, 4, 5]], [[1, 2, 3, 4, 5, 6]], [[1, 2, 3, 4, 5, 6, 7]], [[1, 3, 2, 4, 5, 6, 7]], [[1, 2, 2, 3, 3, 4]], [[1, 2, 2, 2, 3, 4]]]
results = [True, True, False, True, True, False, True, False]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(is_sorted)
print('___SENTINEL___')
| f59c0ee7982d47b19996973ceb5836ef |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-6
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-07, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[[1, 2], [2, 3]], [[-1, 1], [0, 4]], [[-3, -1], [-5, 5]], [[-2, 2], [-4, 0]], [[-11, 2], [-1, -1]], [[1, 2], [3, 5]], [[1, 2], [1, 2]], [[-2, -2], [-3, -2]], [[0, 0], [0, 1]], [[10, 20], [15, 25]], [[-15, 15], [-10, 10]], [[0, 5], [6, 10]], [[5, 10], [1, 7]], [[11, 11], [11, 11]], [[1, 5], [3, 7]], [[-6, -2], [-1, 1]], [[7, 13], [10, 23]], [[-10, 0], [-2, 2]], [[-6, -2], [-6, -2]], [[6, 6], [6, 6]], [[0, 1], [0, 0]], [[3, 7], [3, 7]], [[7, 12], [10, 23]], [[-6, -2], [-1, 0]], [[1, 5], [1, 5]], [[5, 6], [5, 6]], [[5, 5], [5, 5]], [[0, 0], [0, 0]], [[3, 13], [3, 13]], [[-2, -2], [-2, -2]], [[2, 3], [2, 3]], [[10, 23], [10, 23]], [[-15, 20], [-15, 20]], [[10, 20], [10, 20]], [[5, 11], [1, 7]], [[7, 12], [7, 12]], [[5, 10], [-1, 7]], [[2, 5], [3, 7]], [[0, 3], [0, 0]], [[5, 10], [5, 10]], [[-10, 0], [-10, 0]], [[2, 2], [2, 2]], [[-15, 12], [-10, 10]], [[-2, 7], [-2, 7]], [[-15, 15], [-15, 15]], [[-10, 10], [-10, 10]], [[11, 15], [11, 15]], [[-15, 6], [-15, 6]], [[-15, 1], [-15, 1]], [[12, 12], [12, 12]], [[-10, 1], [-2, 2]], [[12, 13], [12, 13]], [[1, 1], [1, 1]], [[2, 5], [2, 5]], [[-10, 1], [-10, 1]], [[7, 13], [9, 10]], [[10, 15], [10, 15]], [[6, 10], [6, 10]], [[1, 6], [3, 7]], [[-10, -1], [-10, -1]], [[2, 13], [2, 13]], [[5, 9], [5, 9]], [[10, 21], [10, 21]], [[15, 25], [15, 25]], [[10, 10], [10, 10]], [[-15, 12], [-15, 12]], [[7, 13], [3, 10]], [[1, 5], [-1, 7]], [[-1, 1], [-1, 1]], [[-7, -2], [-7, -2]], [[4, 10], [4, 10]], [[-1, 0], [-1, 0]], [[9, 23], [9, 23]], [[0, 5], [9, 10]], [[2, 7], [2, 7]], [[6, 7], [6, 7]], [[-1, -1], [-1, -1]], [[23, 23], [23, 23]], [[9, 9], [9, 9]], [[1, 7], [1, 7]], [[10, 11], [10, 11]], [[7, 13], [7, 13]], [[0, 5], [0, 5]], [[0, 2], [0, 2]], [[8, 8], [8, 8]], [[-15, 10], [-15, 10]], [[-7, 5], [-7, 5]], [[5, 10], [-1, 6]], [[2, 12], [2, 12]], [[-15, -10], [-15, -10]], [[-7, 4], [-7, 4]], [[-7, 10], [-7, 10]], [[19, 23], [19, 23]], [[0, 1], [0, 1]], [[-10, 10], [-15, 15]], [[2, 4], [2, 4]], [[-12, 2], [-12, 2]], [[9, 10], [9, 10]], [[15, 15], [-10, -10]], [[-15, 9], [-15, 9]], [[4, 10], [-1, 7]], [[-11, 10], [-15, 15]], [[-11, 3], [-11, 3]], [[1, 12], [1, 12]], [[5, 23], [5, 23]], [[1, 6], [1, 6]], [[0, 5], [3, 10]], [[-10, 10], [-20, 20]], [[-100, 50], [25, 150]], [[-3, 5], [-9, -2]], [[-7, -5], [0, 5]], [[-1000, -999], [-1000, -999]], [[1000000000, 1000000001], [1000000001, 1000000002]], [[-999999999, 1000000000], [-1000000000, 1000000001]], [[7, 11], [13, 19]], [[100000007, 100000009], [100000009, 100000011]], [[-1000000000, 1000000000], [1, 1000000001]], [[-100, 50], [-100, 50]], [[-3, 50], [-3, 50]], [[50, 50], [50, 50]], [[1000000000, 1000000002], [1000000001, 1000000002]], [[-10, 1000000001], [-10, 1000000001]], [[1000000001, 1000000002], [1000000000, 1000000002]], [[1000000001, 1000000002], [1000000001, 1000000002]], [[-20, 20], [-10, 10]], [[1000000000, 1000000001], [1000000000, 1000000001]], [[-4, -4], [0, 5]], [[100000007, 100000009], [100000007, 100000009]], [[1000000000, 1000000001], [1000000001, 1000000001]], [[-20, 20], [-20, 20]], [[-999, -5], [-999, -5]], [[-20, 20], [-4, 10]], [[-100, 49], [-100, 49]], [[-4, 11], [-4, 11]], [[1000000001, 1000000001], [1000000001, 1000000001]], [[0, 1000000001], [0, 1000000001]], [[-1000000000, 1000000000], [-1000000000, 1000000000]], [[1000000000, 1000000002], [1000000000, 1000000002]], [[-999, 5], [-999, 5]], [[-999, -100], [-999, -100]], [[-100, -100], [-100, -100]], [[-999, -99], [-999, -99]], [[100000009, 100000011], [100000007, 100000009]], [[-4, 5], [-9, -2]], [[-20, 20], [-4, 9]], [[26, 150], [26, 150]], [[19, 19], [19, 19]], [[-999, 0], [-999, 0]], [[7, 11], [7, 11]], [[-9, -9], [-9, -9]], [[9, 11], [13, 19]], [[-4, -4], [-4, -4]], [[-999, 1], [-999, 1]], [[9, 11], [9, 11]], [[-999, 9], [-999, 9]], [[1000000000, 1000000003], [1000000001, 1000000002]], [[-4, 1000000000], [-4, 1000000000]], [[-1000000000, 999999999], [-1000000000, 999999999]], [[-20, 20], [-4, 5]], [[26, 27], [26, 27]], [[-100, 11], [-100, 11]], [[-3, -3], [-3, -3]], [[-1000, -5], [-1000, -5]], [[-999, 6], [-999, 6]], [[-999999999, 1000000000], [-999999999, 1000000000]], [[-4, 50], [-4, 50]], [[999999999, 999999999], [999999999, 999999999]], [[-9, 10], [-9, 10]], [[-4, 150], [-4, 150]], [[-4, 5], [-4, 5]], [[-1001, -1000], [-1001, -1000]], [[49, 1000000000], [49, 1000000000]], [[-1000, -1000], [-1000, -1000]], [[-20, 150], [-20, 150]], [[-1000, 7], [-1000, 7]], [[-1001, -1001], [-1001, -1001]], [[25, 25], [25, 25]], [[-999, -999], [-1000, -999]], [[13, 100000009], [13, 100000009]], [[-1000, 0], [-1000, 0]], [[-999, -999], [-999, -999]], [[-999999999, 20], [-4, 9]], [[-100, -99], [-100, -99]], [[-10, 50], [-10, 50]], [[-1000, -1], [-1000, -1]], [[-999, 25], [-999, 25]], [[13, 1000000000], [1, 1000000001]], [[150, 150], [150, 150]], [[1000000002, 1000000002], [1000000002, 1000000002]], [[-20, 20], [-4, -4]], [[-1000, -6], [-1000, -6]], [[-1000, 11], [13, 19]], [[19, 150], [19, 150]], [[-3, 999999999], [-3, 999999999]], [[26, 151], [26, 151]], [[-3, 51], [-3, 51]], [[-3, 1000000000], [-3, 1000000000]], [[-4, 0], [-4, 0]], [[-5, 0], [-5, 0]], [[-4, 10], [-4, 10]], [[100000009, 100000011], [100000008, 100000009]], [[-3, 25], [-3, 25]], [[49, 49], [49, 49]], [[-99, -99], [-99, -99]], [[-99, 25], [-99, 25]], [[100000009, 100000011], [100000008, 100000008]], [[-6, 999999999], [-6, 999999999]], [[50, 1000000001], [50, 1000000001]], [[100000008, 100000008], [100000008, 100000008]], [[100000007, 1000000000], [100000007, 1000000000]], [[19, 1000000000], [19, 1000000000]], [[-20, 1], [-4, 10]], [[-3, 0], [-3, 0]], [[50, 1000000002], [50, 1000000002]], [[50, 1000000000], [50, 1000000000]], [[25, 150], [25, 150]], [[-5, -5], [-5, -5]], [[25, 1000000001], [25, 1000000001]], [[-4, 13], [-4, 13]], [[8, 11], [13, 19]], [[-4, 10], [-20, 20]], [[-3, 100000009], [-3, 100000009]], [[13, 19], [9, 11]], [[-3, 100000008], [-3, 100000008]], [[-20, 1], [-20, 1]], [[-4, 19], [-4, 19]], [[-7, 5], [0, 5]], [[-4, 9], [-20, 20]], [[8, 11], [8, 11]], [[-20, 2], [-4, 10]], [[0, 1000000002], [0, 1000000002]], [[11, 1000000000], [11, 1000000000]], [[-1000, -99], [-1000, -99]], [[26, 26], [26, 26]], [[1000000000, 1000000003], [1000000000, 1000000003]], [[1000000000, 1000000004], [1000000000, 1000000004]], [[6, 25], [6, 25]], [[-20, 11], [-20, 11]], [[-11, 10], [-11, 10]], [[100000009, 100000011], [100000009, 100000009]], [[0, 11], [0, 11]], [[100000009, 100000011], [100000009, 100000011]], [[14, 100000009], [14, 100000009]], [[-999, -101], [-999, -101]], [[100000008, 100000009], [100000008, 100000009]], [[-10, 151], [-10, 151]], [[-1001, -1], [-1001, -1]], [[-11, 1], [-11, 1]], [[-100, 10], [-100, 10]], [[149, 150], [149, 150]], [[-4, 6], [-4, 6]], [[-1000000000, -4], [-1000000000, -4]], [[-10, -9], [-10, -9]], [[-999, 151], [-999, 151]], [[-100, -4], [-100, -4]], [[26, 149], [26, 149]], [[-4, 7], [-4, 7]], [[13, 1000000000], [13, 1000000000]], [[-2, 10], [-2, 10]], [[1000000000, 1000000001], [11, 1000000001]], [[-9, 1], [-9, 1]], [[-100, 0], [-100, 0]], [[1, 1000000002], [1, 1000000002]], [[-7, -5], [-7, -5]], [[151, 1000000001], [151, 1000000001]], [[-9, 11], [-9, 11]], [[100000009, 100000009], [100000009, 100000009]], [[13, 19], [13, 19]], [[11, 50], [11, 50]], [[-1000, 11], [-1000, 11]], [[-100, 150], [-100, 150]], [[1000000001, 1000000001], [1000000000, 1000000001]], [[-7, -6], [-7, -6]], [[100000011, 1000000002], [100000011, 1000000002]], [[8, 1000000004], [8, 1000000004]], [[-6, 50], [-6, 50]], [[-1000, -2], [-1000, -2]], [[-999999999, 1], [-999999999, 1]], [[-19, 150], [-19, 150]], [[-1002, -1000], [-1002, -1000]], [[-9, 1000000001], [-9, 1000000001]], [[-3, 24], [-3, 24]], [[-2, 51], [-2, 51]], [[-999999999, 50], [-999999999, 50]], [[-998, 0], [-998, 0]], [[48, 49], [48, 49]], [[999999999, 1000000002], [999999999, 1000000002]], [[14, 150], [14, 150]], [[48, 999999999], [48, 999999999]], [[100000008, 100000011], [100000008, 100000008]], [[-7, -3], [-7, -3]], [[-1000000000, -998], [-1000000000, -998]], [[-998, -100], [-998, -100]], [[27, 1000000001], [27, 1000000001]], [[999999999, 1000000000], [999999999, 1000000000]], [[-10, 9], [-10, 9]], [[13, 20], [13, 20]], [[-4, 27], [-4, 27]], [[11, 1000000000], [-1000000000, 1000000001]], [[-1, 51], [-1, 51]], [[5, 100000011], [5, 100000011]], [[27, 50], [27, 50]], [[-20, 1000000000], [-20, 1000000000]], [[-1, 11], [-1, 11]], [[-20, 1], [-4, -4]], [[5, 1000000002], [5, 1000000002]], [[-999999999, 51], [-999999999, 51]], [[100000010, 100000011], [100000010, 100000011]], [[-3, 100000008], [-9, -2]], [[999999998, 1000000002], [999999998, 1000000002]], [[-19, 0], [-19, 0]], [[-999, -2], [-999, -2]], [[14, 19], [14, 19]], [[-2, 11], [-2, 11]], [[-999, -1], [-999, -1]], [[-4, 28], [-4, 28]], [[-6, -6], [-6, -6]], [[-7, -4], [0, 5]], [[-999999999, 0], [-999999999, 0]], [[-99, 10], [-99, 10]], [[-3, 2], [-9, -2]], [[10, 13], [10, 13]], [[-1000000000, 1000000001], [-1000000000, 1000000001]], [[-5, 9], [-5, 9]], [[0, 6], [0, 6]], [[1000000000, 1000000000], [1000000000, 1000000000]], [[-21, 2], [-21, 2]], [[-4, 100000007], [-4, 100000007]], [[13, 149], [13, 149]], [[-7, -4], [-6, 5]], [[20, 150], [20, 150]], [[-5, 10], [-5, 10]], [[-999999999, 20], [-999999999, 20]], [[19, 151], [19, 151]], [[48, 48], [48, 48]], [[-21, 50], [-21, 50]], [[-20, 2], [-4, -4]], [[100000011, 100000011], [100000011, 100000011]], [[-11, -10], [-11, -10]], [[10, 27], [10, 27]], [[-4, 10], [-20, 9]], [[-998, 1], [-998, 1]], [[-998, -5], [-998, -5]], [[-999999998, -999999998], [-999999998, -999999998]], [[-999, 24], [-999, 24]], [[-21, 20], [-4, 10]], [[-1001, 7], [-1001, 7]], [[-10, -5], [-3, -1]], [[-10, -5], [-3, 0]], [[-1, 0], [0, 1]], [[0, 1], [2, 3]], [[0, 0], [1, 1]], [[1, 6], [4, 10]], [[0, 4], [-3, -1]], [[-10, 7], [-20, 20]], [[-8, -5], [-8, -5]], [[-999999999, 1000000001], [1000000001, 1000000002]], [[-1000, 7], [-20, 20]], [[-1, 5], [-1, 5]], [[-1001, -999], [-1001, -999]], [[-8, -7], [-8, -7]], [[-19, 20], [-19, 20]], [[-8, -6], [-8, -6]], [[-1001, 100000009], [-1001, 100000009]], [[-1, 150], [-1, 150]], [[-10, -8], [-10, -8]], [[-1000, 1000000001], [-1000, 1000000001]], [[-1001, 100000010], [-1001, 100000010]], [[-999, 1000000000], [1, 1000000001]], [[-6, 25], [-6, 25]], [[-1000000000, 100000010], [-1000000000, 100000010]], [[13, 13], [13, 13]], [[-6, 19], [-6, 19]], [[-1, 1000000002], [-1, 1000000002]], [[-7, 149], [-7, 149]], [[-999999999, 1000000000], [-8, 1000000001]], [[-100, 50], [25, 151]], [[25, 151], [25, 151]], [[-99, 50], [25, 150]], [[151, 151], [151, 151]], [[-8, 1000000002], [-8, 1000000002]], [[-9, 25], [-9, 25]], [[-1, 50], [-1, 50]], [[-999, 1000000000], [1000000000, 1000000001]], [[1, 1000000001], [1, 1000000001]], [[100000007, 100000007], [100000007, 100000007]], [[1, 26], [1, 26]], [[-10, 7], [-10, 7]], [[-19, -19], [-19, -19]], [[-999, 1000000000], [-999, 1000000000]], [[-19, 149], [-19, 149]], [[100000011, 1000000003], [100000011, 1000000003]], [[-19, 25], [-19, 25]], [[-999, 20], [-999, 20]], [[1000000001, 1000000002], [-999999999, 1000000001]], [[23, 151], [23, 151]], [[12, 100000007], [12, 100000007]], [[-999999999, 1000000000], [-8, -8]], [[7, 1000000000], [7, 1000000000]], [[-8, 1000000001], [-999999999, 1000000000]], [[0, 5], [-7, -5]], [[-5, 19], [-5, 19]], [[-19, 26], [-19, 26]], [[-1001, 1000000002], [-1001, 1000000002]], [[11, 100000007], [11, 100000007]], [[13, 50], [13, 50]], [[149, 149], [149, 149]], [[-20, 26], [-20, 26]], [[-9, -2], [-9, -2]], [[11, 151], [11, 151]], [[-10, 11], [-10, 11]], [[-9, 24], [-9, 24]], [[7, 7], [7, 7]], [[0, 100000007], [0, 100000007]], [[-999999999, 11], [-999999999, 11]], [[-1002, -1001], [-1002, -1001]], [[-3, 5], [-3, 5]], [[-10, -10], [-10, -10]], [[151, 152], [151, 152]], [[-7, 151], [-7, 151]], [[100000006, 100000007], [100000006, 100000007]], [[-999999999, 1000000001], [-999999999, 1000000001]], [[-2, 1000000002], [-2, 1000000002]], [[8, 1000000000], [8, 1000000000]], [[-2, 151], [-2, 151]], [[-8, -8], [-8, -8]], [[-1000000001, 1000000000], [1, 1000000001]], [[100000010, 1000000002], [100000010, 1000000002]], [[12, 50], [12, 50]], [[100000009, 1000000002], [-999999999, 1000000001]], [[-11, -8], [-11, -8]], [[12, 100000006], [12, 100000006]], [[12, 20], [12, 20]], [[1000000000, 1000000002], [-999999999, 1000000001]], [[-20, 10], [-20, 10]], [[-1000000001, 20], [-1000000001, 20]], [[11, 1000000001], [11, 1000000001]], [[1000000001, 1000000002], [1000000000, 1000000001]], [[1000000002, 1000000002], [1000000000, 1000000001]], [[20, 20], [20, 20]], [[-11, -7], [-11, -7]], [[-8, 1000000000], [-999999999, 1000000000]], [[-1000000001, 100000008], [-1000000001, 100000008]], [[-8, 100000011], [-8, 100000011]], [[-10, 8], [-10, 8]], [[-5, -1], [-5, -1]], [[-9, 1000000001], [1000000001, 1000000002]], [[-1000000000, 20], [-1000000000, 20]], [[13, 14], [13, 14]], [[-999999999, 1000000001], [1000000000, 1000000002]], [[-8, 7], [-8, 7]], [[12, 14], [12, 14]], [[-1001, 100000011], [-1001, 100000011]], [[150, 1000000002], [150, 1000000002]], [[-2, 150], [-2, 150]], [[100000007, 100000011], [100000007, 100000011]], [[-2, 19], [-2, 19]], [[-1000000000, -1001], [-1000000000, -1001]], [[23, 50], [23, 50]], [[-1002, -1002], [-1002, -1002]], [[24, 150], [24, 150]], [[999999999, 1000000000], [-8, 1000000001]], [[-11, 1000000000], [-8, -8]], [[-9, 12], [-9, 12]], [[-1003, -1002], [-1003, -1002]], [[-8, 1000000001], [-8, 1000000001]], [[-11, 19], [-11, 19]], [[-1000000000, 1000000000], [-999999999, -20]], [[14, 149], [14, 149]], [[12, 19], [12, 19]], [[100000010, 100000012], [100000010, 100000012]], [[100000009, 100000012], [100000009, 100000012]], [[149, 100000008], [149, 100000008]], [[11, 1000000002], [11, 1000000002]], [[11, 23], [11, 23]], [[14, 100000010], [14, 100000010]], [[20, 21], [20, 21]], [[150, 100000008], [150, 100000008]], [[11, 12], [11, 12]], [[151, 100000008], [151, 100000008]], [[100000010, 1000000003], [100000010, 1000000003]], [[-8, 25], [-8, 25]], [[-7, -7], [-7, -7]], [[-8, 1000000001], [1000000000, 1000000000]], [[-6, 27], [-6, 27]], [[-999, -11], [-999, -11]], [[26, 100000007], [26, 100000007]], [[-20, 50], [-20, 50]], [[-7, 1000000002], [-7, 1000000002]], [[-1000, 1000000000], [-1000, 1000000000]], [[-1000, -999], [-999, -999]], [[-9, 1000000001], [-999999999, 1000000000]], [[-1000, 100000009], [-1000, 100000009]], [[-999, 26], [-999, 26]], [[-1, 19], [-1, 19]], [[-6, 18], [-6, 18]], [[-8, -8], [-999999999, 1000000000]], [[-7, 100000007], [-7, 100000007]], [[-999999999, 1000000001], [13, 1000000002]], [[24, 24], [24, 24]], [[-999, 1000000000], [0, 1000000001]], [[-11, 1000000002], [-11, 1000000002]], [[18, 18], [18, 18]], [[8, 50], [8, 50]], [[-6, -5], [-6, -5]], [[-8, 1000000001], [999999999, 1000000000]], [[-10, 10], [-20, 0]], [[50, 151], [50, 151]], [[-11, 20], [-11, 20]], [[10, 149], [10, 149]], [[-20, 1000000002], [-20, 1000000002]], [[-100, 100000009], [-100, 100000009]], [[-999, 100000011], [-999, 100000011]], [[-1000, 12], [-1000, 12]], [[50, 100000009], [50, 100000009]], [[-5, 14], [-5, 14]], [[-6, 149], [-6, 149]], [[27, 149], [27, 149]], [[150, 1000000000], [150, 1000000000]], [[-2, 12], [-2, 12]], [[-1000, 151], [-1000, 151]], [[-5, 1000000002], [-5, 1000000002]], [[1000000001, 1000000002], [-999999999, 999999999]], [[-1000000000, -999999999], [-1000000000, -999999999]], [[-1000000001, 13], [-1000000001, 13]], [[-7, 11], [-7, 11]], [[-6, 147], [-6, 147]], [[-100, 149], [-100, 149]], [[-1000000001, -3], [-1000000001, -3]], [[-2, 1000000001], [-2, 1000000001]], [[-1003, -7], [-1003, -7]], [[-1000000000, 1000000001], [-999999999, 1000000000]], [[-19, 13], [-19, 13]], [[-8, 1000000000], [-8, 1000000000]], [[-8, 11], [-8, 11]], [[-999, -998], [-999, -998]], [[-1002, -5], [-1002, -5]], [[-11, -11], [-11, -11]], [[-999, 100000007], [-999, 100000007]], [[49, 151], [49, 151]], [[-1000000000, 100000011], [-1000000000, 100000011]], [[-1000000000, 100000008], [-1000000000, 100000008]], [[14, 14], [14, 14]], [[-8, 1000000001], [-1000000000, 1000000000]], [[-9, 1000000000], [-9, 1000000000]], [[11, 22], [11, 22]], [[-9, -8], [-9, -8]], [[14, 50], [14, 50]], [[-1000000001, 1000000000], [-1000000001, 1000000000]], [[100000007, 1000000002], [100000007, 1000000002]], [[50, 149], [50, 149]], [[-2, 21], [-2, 21]], [[14, 151], [14, 151]], [[-1000, -998], [-1000, -998]], [[-1000000000, 1000000000], [1, 21]], [[-3, 18], [-3, 18]], [[-999999998, 1000000000], [-8, 1000000001]], [[-3, 21], [-3, 21]], [[-999999999, 19], [-999999999, 19]], [[25, 100000007], [25, 100000007]], [[-999, 21], [-999, 21]], [[4, 5], [4, 5]], [[6, 8], [6, 8]], [[49, 1000000001], [49, 1000000001]], [[100000009, 1000000002], [-999999999, 1000000002]], [[-998, -998], [-998, -998]], [[-1001, 19], [-1001, 19]], [[-1003, 1000000001], [-1003, 1000000001]], [[-999, 19], [-999, 19]], [[100000009, 1000000001], [100000009, 1000000001]], [[-19, 49], [-19, 49]], [[21, 21], [21, 21]], [[-999999999, 1000000002], [-999999999, 1000000002]], [[-1, 151], [-1, 151]], [[4, 1000000001], [999999999, 1000000001]], [[-999999998, -7], [-999999998, -7]], [[-1000000001, 1000000000], [0, 1000000001]], [[-6, 150], [-6, 150]], [[-1000000000, -1000000000], [-1000000000, -1000000000]], [[-1000, 26], [-1000, 26]], [[-99, -1], [-99, -1]], [[-9, 100000012], [-9, 100000012]], [[-11, 27], [-11, 27]], [[21, 23], [21, 23]], [[15, 100000010], [15, 100000010]], [[20, 1000000002], [20, 1000000002]], [[-999, 153], [-999, 153]]]
results = ['NO', 'NO', 'YES', 'YES', 'NO', 'NO', 'NO', 'NO', 'NO', 'YES', 'NO', 'NO', 'YES', 'NO', 'YES', 'NO', 'YES', 'YES', 'NO', 'NO', 'NO', 'NO', 'YES', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'YES', 'NO', 'NO', 'YES', 'YES', 'YES', 'YES', 'NO', 'YES', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'YES', 'NO', 'NO', 'YES', 'YES', 'NO', 'YES', 'NO', 'YES', 'NO', 'YES', 'NO', 'YES', 'NO', 'NO', 'NO', 'YES', 'NO', 'YES', 'YES', 'NO', 'NO', 'NO', 'NO', 'YES', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'YES', 'YES', 'NO', 'NO', 'NO', 'NO', 'NO', 'YES', 'YES', 'YES', 'NO', 'NO', 'NO', 'YES', 'NO', 'NO', 'NO', 'NO', 'YES', 'NO', 'NO', 'YES', 'NO', 'YES', 'YES', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'YES', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'YES', 'NO', 'NO', 'NO', 'NO', 'YES', 'NO', 'NO', 'NO', 'NO', 'YES', 'NO', 'NO', 'NO', 'NO', 'NO', 'YES', 'YES', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'YES', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'YES', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'YES', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'YES', 'NO', 'NO', 'NO', 'NO', 'NO', 'YES', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'YES', 'YES', 'NO', 'NO', 'NO', 'NO', 'NO', 'YES', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'YES', 'YES', 'YES', 'YES', 'NO', 'NO', 'NO', 'NO', 'NO', 'YES', 'NO', 'YES', 'YES', 'NO', 'NO', 'YES', 'YES', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'YES', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'YES', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'YES', 'NO', 'NO', 'YES', 'NO', 'NO', 'NO', 'YES', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'YES', 'YES', 'YES', 'NO', 'NO', 'NO', 'YES', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'YES', 'YES', 'YES', 'YES', 'NO', 'NO', 'NO', 'NO', 'NO', 'YES', 'NO', 'YES', 'NO', 'NO', 'NO', 'NO', 'YES', 'NO', 'NO', 'YES', 'NO', 'NO', 'NO', 'NO', 'NO', 'YES', 'NO', 'NO', 'NO', 'YES', 'YES', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'YES', 'NO', 'YES', 'YES', 'NO', 'NO', 'NO', 'YES', 'NO', 'NO', 'YES', 'NO', 'YES', 'YES', 'NO', 'NO', 'NO', 'YES', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'YES', 'NO', 'NO', 'NO', 'NO', 'NO', 'YES', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'YES', 'NO', 'NO', 'YES', 'NO', 'NO', 'NO', 'NO', 'YES', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'YES', 'NO', 'NO', 'NO', 'NO', 'YES', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'YES', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'YES', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'YES', 'NO', 'NO', 'NO', 'YES', 'YES', 'YES', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'YES', 'NO', 'NO', 'YES', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'YES', 'YES', 'YES', 'NO', 'NO', 'NO', 'NO', 'YES', 'YES', 'NO', 'NO', 'NO', 'NO', 'YES', 'YES', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'YES', 'NO', 'YES', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'YES', 'YES', 'NO', 'NO', 'NO', 'NO', 'NO', 'YES', 'YES', 'YES', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'YES', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'YES', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'NO', 'YES', 'NO', 'NO', 'NO']
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(intersection)
print('___SENTINEL___')
| d32d927486c92ea143713ac93668a42d |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-4
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-04, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[(1, 2), (2, 3)], [(-1, 1), (0, 4)], [(-3, -1), (-5, 5)]]
results = ['NO', 'NO', 'YES']
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(intersection)
print('___SENTINEL___')
| 9028250e11e34f11dfd8bb7b322caf9f |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-6
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-07, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[[1, 2, 2, -4]], [[0, 1]], [[1, 1, 1, 2, 3, -1, 1]], [[]], [[2, 4, 1, 2, -1, -1, 9]], [[-1, 1, -1, 1]], [[-1, 1, 1, 1]], [[-1, 1, 1, 0]], [[0, 0, 0, 0]], [[-1, -2, -2, -4]], [[-1, 0, 1, 2]], [[-2, -2, -2, 4]], [[1, 1, 1, 0]], [[-3, 5, -7, 9]], [[100, 10, 1, 0, -1, -10, -100]], [[2, 2, 2, 2, 2, 2, 2, -2]], [[1, 1, 1, -1, -1, -1, 0]], [[5, -3, 0, 4]], [[-1, 0, 2, 2, 2]], [[-1, 0, 1, -100, 0, 2]], [[-3, 5, -7]], [[-1, -2, -2, -4, -4, -4]], [[-1, -2, -2, -4, -4, -4, -4]], [[-1, 0, 0, -100, 0, 2]], [[0, 0]], [[-1, -3, -2, -4, -4, -4]], [[0, 4, 0, -100, 0]], [[-2, -2, 9, 4]], [[2, 2, 2, 2, 2, 2, 4, 2, -2]], [[2, 1, 1, -1, -1, 0]], [[0, 1, 0]], [[2, 1, 1, 0, -1, 0]], [[-1, 1, 2, -1]], [[2, 2, 2, 2, 2, 2, 3, 5, 2, -2]], [[0, 0, 0, -1, 1]], [[-1, 0, 1]], [[2, 3, 1, 1, -1, -1, 0]], [[100, 10, 1, -1, -10, -100, 10]], [[2, 2, 2, 2, 2, 2, -2, 2]], [[9, -1, -7, 0, 1, 9]], [[1, 2, 1, 1, 0, -1, 0]], [[5, -3, 0, 4, -3]], [[-2, 0, 0, -100, 0, 2]], [[2, 2, 2, 2, 2, 2, 2, -2, -2]], [[-2, -2, 9, -4]], [[1, 2, 1, 1, 0]], [[-3, -2, -4, -4, -4]], [[2, 2, 2, 2, 2, 2, -2, -2]], [[-1, 0, -100, 0, 2, 1]], [[3, -2, -4, -4, -4]], [[-1, 0, -100, 0, -2, 1]], [[2, 2, 2, 2, 2, 2, -2, -2, 2]], [[2, 0, 0, -100, 0, 2, 0]], [[2, 2, 2, 2, 2, 2, 3, 5, 2, -2, 2]], [[-1, 0, 0, -2, 1]], [[-3, -2, -4, -4]], [[-1, -3, -2, -2, -4, -4]], [[1, 10, 1, 0, -1, 0]], [[0, 1, 4, 0]], [[1, 1, -1, -1, -2, -1, 10]], [[2, 2, 2, 2, 0, 2, 2, 4, 2, -2]], [[1, 1, 0]], [[-3, 5, -7, 9, -3]], [[-3, -10, -4, -4]], [[-3, 3, -10, 9, -4, -4]], [[-3, 3, -10, 10, -4, -5]], [[-1, 0, 0, -2, 1, 0]], [[4, 10, -2, -1, 0]], [[-3, -1, -2, -2, -4, -4, -4, -4, -2]], [[2, 2, 2, -1, 2, 1, 2, 3, 5, 2, -2, 2]], [[0, 1, 1]], [[1]], [[-1, 1, 2, 2]], [[-1, 0, 1, -100, -1, 2]], [[2, 2, 2, 2, 2, 2, 2, -2, -2, -2]], [[1, 2, 1, 1, 0, -1, 0, 2]], [[9, -1, -7, 1, 1, 9]], [[-4, 0, 5, -10, 83, 4]], [[-2, 0, 0, -100, 0, 2, 0]], [[2, 2, 2, 2, 2, 2, -2]], [[-3, 1]], [[-3, -10, -4, -4, -10]], [[-3, -1, -2, -2, -4, -4, -4, -4, -2, -4]], [[0, 1, 1, 1]], [[1, 1, 1, 0, -1, 0]], [[3, 1, 1, -1, -1, 0, 0]], [[-3, 3, -10, 10, -4, -3, -5, 3]], [[9, -1, -7, 0, 1, 9, 0]], [[-1, 0, -100, 0, -2, 1, 0]], [[1, 1, 1, -7, 0, 1]], [[1, -10, 1, 1, 0, -1, 0]], [[2, 2, 2, 2, 2, 3, 2, -2, -2]], [[0, -1, -1, 0, 0]], [[-3, -10, 83]], [[2, 0, -100, 0, 2, 0]], [[100, 1, 1, -1, -1, -1, 0]], [[-1, 0, 1, -100, 0, -1, 2]], [[100, 10, 1, -1, -10, -100, 10, 1]], [[0, 0, -2, 1, 0]], [[-10, 3, -10, 10, -4, -5]], [[-2, 0, 0, -100, 0, 2, 0, 2]], [[2, 2, 2, 2, 2, 4, 2, -2]], [[0, 0, 0, -1]], [[9, -1, -7, 0, 1, 1, 9]], [[0, 1, 4, 0, 0, 1]], [[-1, 0, 0, 2, 1]], [[4, -7, -7]], [[1, 1, 2, -1, -1, 0, 1]], [[1, 2, 3, 4, 5, -6, -7, -8, -9, -10]], [[-1, -2, -3, -4, -5, -6, -7, -8, -9, -10]], [[0, 0, 0, 0, 0, 0, -1, -1, 1, 1, 1, 1, 1]], [[1, 2, 3, 0, -3, -2, -1]], [[0, 0, 0, 0, 0, 0]], [[1, 2, -3, -4, 0, 5, 6, -7, -8, 9, 10, 11, -12, 13, 14, -15, 16, 17, -18, -19, -20]], [[0, 0, 0, 0, 0, 1, 2, 3, 4, -1, -2, -3, -4, 5, 6, 7, -5, -6, -7]], [[-1, -2, -3, -4, -5, -6, 0]], [[0, 1, 2, 3, -4, -5, -6, 7, 8, -9, -10]], [[1, 2, 3, -4, -5]], [[1, 2, 3, 0, -3, 6, -1]], [[0, 1, 2, 3, -4, -5, -6, 7, 8, -9, -10, -10]], [[1, 2, -3, -4, 0, 5, 6, -7, 9, 10, 11, -12, 13, 14, -15, 16, 17, -18, -19, -20, 9]], [[0, 1, 2, 2, 3, -4, -5, 10, 7, 8, -9, -10, -10, 7]], [[0, 0, 0, 0, 0, 1, 2, 3, 4, -1, -2, -3, -4, 5, 6, 7, -5, -6, -7, -6]], [[0, 1, 2, 2, 3, -4, -5, 10, 7, 8, 2, -10, -10, 7, -10]], [[0, 0, 0, 0, 0, 4, 1, 2, 3, 4, -1, -2, -3, -4, 5, 6, 7, -5, -6, -7, -6]], [[0, 0, 0, 0, 4, 1, 2, 3, 4, -1, -2, -3, -4, 5, 6, 7, -5, -7, -6, 7]], [[0, 1, 2, 2, 3, -5, 10, 7, 8, 2, -10, -10, 7, -10, 10]], [[0, 0, 0, 0, 0, 3, 1, 2, 3, 4, -1, -2, -3, -4, 5, 6, 7, -5, -6, -7, -6]], [[0, 0, 0, 0, 0, 13, 0, 0]], [[1, 2, 3, 0, 0, -3, -2, -1]], [[0, 1, 2, 2, 3, -5, 10, 7, 8, 2, -10, 7, -10, 10]], [[1, 2, 3, 4, 5, -6, -7, -8, -9]], [[-18, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 1, 1, 1, -1]], [[1, 2, 3, 0, -3, 6, -1, 1]], [[1, 2, -3, 0, 5, 6, -7, 9, 10, 11, -12, 13, 14, -15, 16, 17, -18, -19, -20, 9]], [[2, 2, 3, 0, -3, 6, -1]], [[1, 2, 5, -4, -6, -5]], [[1, 2, 3, 4, 5, -6, -7, -8, -9, -10, 1]], [[1, 2, -3, -4, 0, 5, 6, -7, 9, -20, 10, 11, -12, 13, 14, -15, 16, 17, -18, -19, -20, 9]], [[1, 2, 0, 5, 6, -7, 9, 10, 11, -12, 13, 14, -15, 16, 17, -18, -19, -20, 9]], [[1, 2, 3, 4, 5, -6, -7, -8, -9, -7]], [[0, 0, 0, 0, 0, 1, 2, 3, 4, -2, -3, -4, 5, 6, 17, -5, -6, -7]], [[1, 2, -9, 3, 0, -3, -2, -1, 1]], [[-18, 0, 0, 0, 0, 0, 0, -1, 1, 1, 1, 1, 1, -1]], [[0, 0, 0, 0, 0, 1, 2, 3, 3, 4, -2, -3, -4, 5, 6, 17, -5, -6, -7]], [[0, 2, 2, 3, -5, 10, 7, 8, 2, -10, 7, -10, 10, 10]], [[0, 2, 2, 3, -5, 10, 8, 2, -10, 7, -10, 10, 10]], [[2, 3, 0, -3, 6, -1, 2]], [[1, 2, -3, 0, 5, 6, -7, 9, 11, -12, 13, 14, -15, 16, 17, -18, -19, -20, 10]], [[0, 0, 0, -1, 0, 1, 2, 3, 4, -1, -7, -2, -3, -4, 5, 6, 7, -6, -7, -6]], [[1, 2, -3, -4, 0, 5, 6, -7, 9, 10, 11, -12, 13, 14, -15, 16, 17, -18, -8, -20, 9]], [[1, 2, -9, -12, 3, 0, -3, -2, -1, 1]], [[0, 1, 2, 2, 3, -4, -5, 10, 7, 8, -9, -10, -5, -10, 7]], [[0, 0, 0, 0, 0, 1, 2, 3, 3, 4, -2, -3, -4, 5, 6, 17, -5, -6, -7, -2]], [[0, 0, 0, 0, 0, 0, -1, 1, 1, 1, 1, 1, 0]], [[1, 2, -9, -13, 3, -19, -3, -2, -1, 1]], [[1, 2, 5, -4, -5]], [[1, 2, -9, -12, 1, 3, 0, -3, -2, -1, 1, -5, -12]], [[-18, 0, 0, 0, 0, 0, 0, -1, 1, 1, 1, 1, -1, 0]], [[1, 2, -3, -4, 0, 5, 6, -7, -8, 9, 10, 11, -12, 13, 14, -15, 16, 17, -18, -19, -20, 0]], [[1, 2, -3, 0, 5, 6, -7, 8, 10, 11, -12, 13, 14, -15, 16, 17, -19, -20, 9]], [[0, 0, 0, 0, 1, 2, 3, 4, -1, -2, -3, -4, 5, 6, 7, -5, -7, -6, 7]], [[1, 2, 5, -4, -5, 1]], [[1, -9, 3, 0, -3, -2, 17, -1, 1]], [[1, 2, -9, -13, 3, -19, -2, -2, -1, 1]], [[1, 2, 2, 3, -4, -5, 10, 7, 8, 2, -10, -10, 7, -10]], [[-20, 1, 2, 2, -18, 3, -5, 10, 7, 8, 2, -10, -10, 7, -10, 10]], [[1, 2, -9, -12, 1, 3, 0, -2, -1, 1, -5, -12, 1]], [[0, 0, 0, 0, 0, 0, -1, 2, 1, 1, 1, 1, 0, 0, 0]], [[0, 0, 0, 0, 0, 0, -1, 2, -1, 1, 1, 1, 1, 1]], [[-18, 0, 2, 0, 0, 0, 0, -1, 1, 0, 1, -2, 1, 1, 1, -1]], [[1, -3, 0, 5, 6, -7, 9, 10, 11, -12, 13, 14, -15, 16, 17, -18, -3, -19, -20, 9]], [[1, 2, -9, 8, -12, 1, 3, 0, -2, -1, 1, -5, -12, 1]], [[1, 2, -9, -13, 3, -19, -2, -2, -20]], [[-18, 0, 0, 0, 0, 0, 0, -1, 1, 1, 1, 1, 1, -1, -18]], [[1, 2, -3, 0, 5, 6, -7, 8, 10, 11, -12, 13, 14, -15, 16, 17, -19, -20, 9, 0]], [[0, 0, 0, 0, 1, 2, 3, 4, -1, -2, -3, -4, 5, 7, -5, -7, -6, 7, 0]], [[0, 0, 0, 0, 0, 0, -1, 2, -1, 1, 1, 1, 1, 1, 0]], [[1, 2, 3, 0, 0, -3, -19, -2, -1]], [[0, 2, 2, 3, -5, 10, 8, 2, -10, -1, 7, -10, 10, 10]], [[1, -3, -4, 0, 5, 6, -7, -8, 9, 10, 11, -12, 13, 14, -15, 16, 17, -18, -19, -20, 0]], [[1, -3, -4, 0, 5, 6, -7, -8, 9, 10, 11, -12, 13, 14, -15, 16, 17, -18, -19, -20, 0, 17]], [[1, 2, -10, 0, -3, -19, -2, -1]], [[2, 2, 3, 0, -3, 4, -1]], [[1, 3, -4, -12, 1]], [[0, 2, 2, 3, -5, 10, -19, -3, 2, -10, 7, -10, 10, 10]], [[1, 2, -3, -4, 0, 5, -7, -8, 9, 10, 11, -12, 13, 14, -15, 16, 17, -18, -19, -20, 1]], [[0, 2, 2, 3, -5, 10, 7, 2, -10, -10, 10, 10]], [[0, 1, 9, 2, 3, -4, -5, 10, 7, 8, -9, -10, 7]], [[1, 2, 3, -1, -3, -2, -1, 0]], [[0, 1, 2, 2, -4, -5, 10, 7, 8, -9, -10, -5, -10, 7]], [[0, 0, 0, -1, 1, 2, 3, 4, -1, -7, -2, -3, -4, 5, 6, 7, -6, 6, -7, -6]], [[0, 2, 2, 3, -5, 10, 8, 2, -10, 7, -10, 10, 10, 10]], [[1, 2, -3, -4, 0, 5, 2, 6, -7, 9, 10, 11, -12, 13, 14, -15, 16, 17, -18, -8, -20, 9]], [[0, 0, 0, 0, 4, 1, 2, 3, 4, -1, -2, -3, -4, 5, 6, 7, -5, 11, -7, -6, 7, 5]], [[1, 2, 3, -3, -2, -1]], [[1, -4, 3, 4, 5, -6, -7, -8, -9, -7]], [[1, 1, 4, 0, -3, 6, -1, 1]], [[1, 2, 0, 5, 6, -7, 9, 16, 11, -12, 13, 14, -15, 16, 17, -18, -19, 17, -20, 9]], [[1, 5, -5, 1]], [[1, 4, 0, -3, 6, -1, 1]], [[0, 0, 0, 0, 0, 1, 2, 3, 3, 4, -2, -3, -4, 5, 6, 17, -5, -6, -7, -2, -6]], [[0, 2, 2, 3, -5, 10, 7, 2, -10, -10, 10, 10, 7]], [[0, 0, 0, 0, 1, 1, 2, 3, 4, -2, -3, -4, 5, 6, 17, -5, -6, -7]], [[0, 0, 0, -12, -1, 1, 2, 3, 4, -1, -7, -2, -3, -4, 5, 6, 7, -6, 6, -7, -6, -12]], [[1, 2, 3, -1, -3, -2, -1, 0, 2]], [[1, -6, 3, 0, -9, 6, -1]], [[1, 9, 2, 3, -4, -5, 10, 7, 8, -9, -10, 7]], [[-18, 0, 2, 0, 0, 0, -1, 1, 0, 1, -2, 1, 1, 1, -1]], [[1, 2, -3, -4, 0, 5, -7, -8, 9, 10, 11, -12, 13, 14, -15, 16, 17, -18, -19, -20, 1, -3]], [[0, 1, 2, 3, -4, -5, -6, 7, 8, -9, -10, -19, -10]], [[0, 0, 0, 0, 1, 2, 3, 4, -1, -2, -3, -4, 5, 6, 7, -5, -7]], [[0, 0, 0, 0, 1, 2, 4, -1, -2, -3, -4, 5, 7, -5, -7, -6, 7, 0]], [[-8, 0, 0, -18, 0, 1, 2, 3, 3, 4, -2, -3, -4, 5, 6, 17, -5, -6, -7]], [[1, -4, 2, 3, 0, -3, 6, -1, 1]], [[1, 2, -3, 0, 5, 6, -7, 8, 10, 11, -12, 13, 14, -15, 16, 17, -19, -20, 9, 13]], [[1, 2, 5, -6, -5]], [[1, 2, -3, 0, 5, 6, -7, 8, 10, 9, -12, 13, 14, -15, 16, 17, -19, -20, 9, 13]], [[0, 2, 2, 3, -5, 10, 8, 2, -10, -1, 7, -10, 10, 10, 2]], [[1, 2, 5, -6, 3]], [[0, 0, 0, 0, 1, 2, 3, 4, -1, -2, -3, -4, 5, 6, 7, -2, -7]], [[0, 0, 0, 0, 0, 1, 2, 3, 4, -1, -2, -3, -3, 5, 6, 7, -5, -6, -7]], [[1, 2, 3, 4, 5, -6, -7, -8, -8]], [[1, 2, -9, -12, 1, 3, 0, -3, -2, -1, -11, 1, -5, -12]], [[1, 2, 3, 4, 5, -6, 3, -7, -8, -8]], [[0, 0, 0, 0, 4, 1, 2, 3, 4, -1, -2, -3, -4, 5, 6, 7, -5, -7, -6, 7, 7]], [[1, 2, 3, 4, 5, 14, -6, -7, -8, -9, -10, 1, 1]], [[1, -13, 2, -10, 0, -3, -19, -2, -1, -19]], [[1, -4, 2, 16, 0, -3, 6, -1, 1]], [[0, 0, 0, -12, -1, 1, 2, 3, 4, -1, -7, -2, -3, -4, 5, 6, 7, -6, 6, -7, -6, -12, -12]], [[0, 0, 0, 0, 0, 1, 2, 3, 4, -1, 10, -3, -4, 5, 6, 7, -5, -6, -7]], [[1, -4, -9, 3, 4, 5, -6, -7, -8, -9, -7]], [[1, 2, 3, -4, -5, 10, 7, 8, 2, -10, -10, 7, -10]], [[2, 3, 0, -3, 6, -1, 2, 2]], [[0, 0, -2, 0, 0, 0, 0, -1, 2, 1, 1, 1, 1, 1, 2, 0]], [[0, 0, 0, 0, 0, 4, 1, 2, 3, 4, -1, -3, -4, 5, 6, 7, -5, -6, -7, -6]], [[0, 0, 0, 0, 1, 2, 3, 4, -1, -2, -3, -4, 5, 7, -5, -7, -6, 7, 0, -5]], [[2, 3, 4, 0, -3, 6, -1, 2, 2]], [[1, 2, -3, 0, 5, 6, -7, 8, 10, -11, 9, -12, 13, 14, -15, 16, 17, -19, -20, 9, 13]], [[1, 2, 3, 0, -2, -1]], [[-18, 0, 0, 0, 0, 0, 0, -1, 1, 1, 1, 1, 1, -1, 1]], [[0, 1, 2, 2, 3, -4, -5, 10, 7, 8, -9, -10, -5, -10, 7, -9, -5]], [[0, 0, 0, 0, 4, 1, 2, 3, 4, -1, -2, -3, -4, 5, 6, 7, -5, 10, -7, 7, 5]], [[0, 2, 3, 10, -5, 10, 7, 2, -10, -10, 10, 10]], [[1, 2, -3, -4, 0, 5, 6, -7, 9, 10, 11, -12, 13, 14, -15, 16, 17, -18, -8, -20, 9, 2]], [[0, 2, 2, 3, 10, 7, 2, -10, -10, 10, 10, 7]], [[1, 2, -9, -13, 3, -19, 13, -3, -2, -1, 1]], [[0, 0, 0, 0, 0, 0, -1, -1, 1, 1, 1, 1]], [[0, 1, 2, 3, -4, -5, -6, 7, 8, -9, -10, 1, -10]], [[-5, 0, 0, 0, 0, 1, 1, 2, 3, 4, -2, -3, -4, 5, 6, 17, -5, -6, -7, 4, 0]], [[0, 1, 2, 2, 3, -4, -5, 10, 7, 7, -9, -10, -5, -10, 7, -10]], [[0, 0, 0, -12, -1, 1, 2, 3, 4, -1, -7, -2, -3, -4, 5, 6, 7, -6, 6, -7, -6, -12, -2, -12]], [[1, -4, -9, -10, 3, 4, 5, -6, -7, -8, -9, -7]], [[0, 1, 9, 2, 3, -4, -5, 10, 7, -8, 8, -9, -10, 7]], [[1, 2, 0, -3, 6, -1]], [[1, 2, 5, -6, -5, 2]], [[0, 1, 2, 2, 3, -4, -5, 10, 7, 8, -9, -10, 2, -5, -10, 7, -9, -5, -9]], [[1, 2, 5, -4, -6, 2]], [[0, 0, 0, 0, 0, 4, 1, 2, 3, 4, -1, -2, 6, 5, 6, 7, -5, -6, -7, -6, 0]], [[1, 2, -11, -4, -6, -5]], [[1, 2, 3, 4, 5, -6, 3, -7, -8, -8, -6, -7]], [[1, 2, 4, 5, 14, -6, -9, -8, -9, -10, 1, 1]], [[0, 0, 0, 0, 0, 1, 2, 4, -1, -2, -3, -4, 5, 7, -5, -7, -6, 7, 0, 2]], [[-1, -2, -3, -5, -6, -7, -9, -10, -10]], [[1, 2, 3, -1, -3, -2, -1, 0, 2, 1]], [[0, 2, 2, 3, -5, 10, 7, -10, -10, 10, 10, -10]], [[0, 0, 0, 0, 0, 4, 1, 2, 3, 4, -1, -2, -3, -4, 5, 6, 7, -5, -6, -7, -6, 0, -6, 0]], [[1, 2, -3, -4, 0, 5, 6, -7, 9, 10, 6, 11, -12, 13, 14, -15, 16, 17, -18, -8, -20, 9, 2, -4]], [[2, 2, 3, 0, -3, 3, -1]], [[0, 10, 2, 2, 3, -5, 10, 8, 2, -10, 7, -10, -10, -11, 10, 0]], [[-18, 0, 0, 0, 0, 0, 0, -1, 1, 1, 1, 1, -1]], [[0, 0, 0, 0, 0, 0, -1, 1, 1, 1, 1, 1, 0, 0, -1]], [[-5, 0, 0, 0, 0, 1, 1, 2, 3, 4, -2, -3, -4, 5, 6, 17, -5, -6, -7, 4, 0, -6, 3]], [[1, -4, 3, 4, 5, -6, -7, -8, -9, -7, 1]], [[1, -4, -9, -10, 3, 5, -6, -7, -8, -9, -7]], [[0, 0, 0, -1, 1, 2, 3, 4, -1, -7, -2, -3, -4, 5, 7, 7, -6, 6, -7, -6]], [[0, 2, 2, 3, -5, 10, 7, -10, -18, 10, -10]], [[0, 0, 0, 0, 0, 1, 2, 3, 3, 4, -2, -3, 16, -4, 5, 6, 17, -5, -6, -7]], [[1, 2, 3, 0, -3, -19, -2, -1]], [[0, 0, 0, 0, 0, 0, -1, -1, 1, 1, 1, 1, 1, 1]], [[0, 2, 2, 3, -5, 11, -4, 7, -10, -10, 10, 10, -10]], [[1, -5, 2, 3, -5]], [[-2, 0, 0, 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3, -4, -5, -20, 7, -9, -20, -20]], [[0, 3, -4, -5, -4, 3, 3]], [[1, 2, 3, 0, -3, 16, -7, -8, 0]], [[-1, -1, 0, 0, 0, -12, 0, 8, 8]], [[-15, 2, 4, -4, -5, 16, -5, -5]], [[-10, 1, 5, -4, -5, 0, -5, -5, 2]], [[1, 3, -7, -5]], [[1, -8, 1, 2, 3, 0, -3, 16, -8]], [[-1, 8, 0, 0, 0, 8]], [[0, -1, -4, 2, -4, -4, 9, -5, 0, -5, -1, -4]], [[1, 4, 2, 4, 5, 5, -6, -3, -9, -10, 4]], [[1, 0, -7, 3, 4, -6, -7, -8, -9, -10]], [[2, 3, -10, -3, -2, -8, -7, 2]], [[0, 1, -15, 3, -3, -5, -6, 7, 8]], [[1, -5, 4, 2, 0, -3, -19, -2, 3, -8]], [[1, 3, 3, 4, 16, -2, -2, -1, 3]], [[3, -8, 0, -7, -8, -8]], [[-1, 2, -4, -4, 9, -5, 0, -5, -1, -1]], [[-18, 13, -4, -5]], [[1, 2, -18, -4, -5]], [[1, 2, 3, -3, 2, 7, -5, -4, 16, 16]], [[1, 2, -3, -4, 0, 5, -7, -8, 9, 10, 11, -12, 13, 13, 14, -15, 16, 3, -18, -19]], [[1, 2, 0, -3, 16, -8]], [[1, 2, 3, 0, -4, -3, -2, -1]], [[-18, 3, 0, -7, 16, -8, -8, 9, -9, -8, -8, -8]], [[0, 0, 0, 8, 0, 0, 0]], [[-2, -2, -3, -4, -5, -6, -7, -8, -9, -3]], [[1, 2, -3, -4, 0, 5, 6, -7, -8, 9, 10, 11, 3, -12, 13, 14, -15, 16, 3, -18, -19, -20]], [[-1, 2, 4, -10, 14, -5, 1, -5, -5]], [[-1, 5, 2, 4, -4, 4]], [[-2, 2, 13, 4, -4, -4, -5, 0]], [[-6, 1, 7, 2, 2, -3, -19, -3, 0, -2, -8, 2, -3]], [[1, 14, 2, -3, -4, 0, 5, 6, -7, 9, 10, 11, -12, 13, 14, -15, 16, 17, -3, -19, -20]], [[1, 1, 2, 3, 0, 1, -4, -3, -2, -3]], [[2, -6, 0, -5, 2]], [[16, -1, 5, 2, 4, -4, 0, 5, -15, 0]], [[0, 0, 0, 0, 0, 1, -1, 0, -1, 1, 1, 1, 1]], [[-2, 2, 17, -4, -5, -2]], [[1, 3, 3, 4, -2, -2, -1, 1]], [[2, 3, 0, -3, 16, -8]], [[0, 3, -4, -5, -4, 3, 3, 3]], [[-6, 1, 7, 2, 2, 14, -3, -19, -3, 0, -2, -8, 2, -3]], [[1, 3, -4, -6, 1]], [[-1, -11, 2, 4, -5, -5, 1, -5]], [[4, 11, 6, -2, -3, -4, -5, -3, -7, -6, -7, -8, -9, -3, -11, -7]], [[1, -4, 0, 5, 6, -7, -8, 9, 10, 11, -12, 5, 13, 14, -15, 16, 17, -3, -19, -19, -20]], [[2, 3, -10, -3, -2, -9, -7, 2]], [[-1, 5, 2, 14, -4, 5, 0, 4]], [[-5, -1, 5, 2, 4, -4, 0, 5, 4, 2]], [[1, 9, 2, 0, -3, 0, -2, -8, -8]], [[0, 0, 0, 0, 0, -1, -1, 1, 1, 1, 1, 1, 0, -1, 0]], [[4, -4, -5, 0, -5, 0, 4]], [[1, 2, 3, 4, -6, -8, -9, -10, -10, -8]], [[4, -7, 6, -2, -3, -4, -5, -6, -7, -8, -9, -3, -11]], [[-1, -11, 2, -1, 4, -5, -5, 1, -5]], [[2, 3, -10, -3, -2, -9, -7, 2, -10]], [[4, -4, -5, 5, 0, -5, 0]], [[1, -1, 3, 2, 1, -2, -8]], [[2, 4, -4, -5, 0, 10, -5, -5, 0]], [[0, 0, 0, 0, 0, 0, -1, -1, 1, 1, 2, 0, 1, 0, 0, 0]], [[-1, -4, 5, 2, 4, -4, 0, 4]], [[3, 9, 3, 0, -7, 16, -8, -8, -8, -8, -7, -7]], [[1, -3, -4, 0, 5, 6, -7, -8, 9, 10, 11, -12, 13, 14, -15, 16, 17, -3, -18, -19, -20, -4]], [[-5, -1, 5, 2, 4, -4, 0, 5, -4]], [[2, 3, 0, -7, 16, -8, -8, -9, -8, 6, -8, -8]], [[-1, -2, -3, -4, -5, 3, -6, -7, -8, -9, -10, -9]], [[1, 2, 3, 4, 8, -6, -8, -9, -10, -10, 8]], [[3, 13, 1, 3, -4, 3]], [[1, 2, 3, -1, -3, 16, -8]], [[1, 2, 3, 3, 5, -6, -7, -9, -10, 2, 5]], [[2, 3, -4, -3, -4, -5, -4]], [[1, -13, 2, -3, -4, 0, 5, 6, -7, -8, 9, 10, 11, -12, 13, 14, -15, 16, 17, -18, -19, -20]], [[16, 0, 0, 0, 0, 1, -1, 0, -1, 1, 1, 1, 1]], [[-6, 1, 7, 2, 2, -19, -3, 0, -8, -8, 2, -3]], [[0, 1, 2, 4, -4, 13, -6, 7, 8, -9, 10, 1, -10, -4, -4, -4]], [[1, 2, 3, -3, -5, -4, 16, 16]], [[2, -5, 0, -5, 2]], [[1, -4, 0, 16, 6, -7, 9, 10, 11, -12, 5, 13, 14, -15, 16, 17, -3, -19, -19, -20]], [[1, 1, 8, -6, 0, 12, -2, -8, -3]], [[2, 11, 0, 1, 4, 2, -4, -5, 4, -5]], [[1, 2, 0, 4, 5, -6, -7, -9, -10]], [[8, 0, 2, 3, -5, -4]], [[-1, -2, -5, -3, 11, -4, -5, -6, -7, -8, -9, -10, -5]], [[0, 1, 2, -5, -15, 3, -4, -5, -6, 7, 8, -9, 2, -9]], [[3, 9, 3, -12, 0, -7, 16, -8, -8, -8, -8, -7, -7]], [[1, 8, 3, 0, 12, -2, -8, -3]], [[0, -1, -4, 2, -4, -4, 9, -5, 0, -5, 3, -4]], [[1, 13, 2, 3, -3, -15, -4, -5, -4, 1]], [[1, 5, -6, -4, -5, 0, -5, -5, 2]], [[2, 4, -5, 2, -4]], [[-5, 3, -4, -3, -4, -5, -4, 2]], [[1, 2, 4, 5, -6, -9, 3, 2]], [[1, 3, 3, 4, -2, -2, -1, 3, 4]], [[-1, 0, 0, 0, 7, 7, 0, 0, 0, -1, 0]], [[1, -4, -5, -4]], [[1, -4, 0, 5, 6, -7, -8, 9, 10, 11, -12, 13, 14, -15, 16, 17, -3, -19, -19, -20]], [[3, 2, 3, 0, -2, 9, 9]], [[-1, 2, 4, -5, 1, -5, -5, -1]], [[-4, 3, 0, -7, 16, -8, -8, -9, -8, -8]], [[1, 2, 4, 5, -6, -9, 3, 2, 1]]]
results = [-9, 0, -10, None, 20, 4, -4, 0, 0, 9, 0, -10, 0, 24, 0, -16, 0, 0, 0, 0, 15, 17, -21, 0, 0, 18, 0, 17, -20, 0, 0, 0, 5, -24, 0, 0, 0, -232, -16, 0, 0, 0, 0, 18, -17, 0, -17, 16, 0, 17, 0, 18, 0, -26, 0, 13, 16, 0, 0, 17, 0, 0, -27, 21, 33, 35, 0, 0, -26, 26, 0, 1, -6, 0, -20, 0, 28, 0, 0, -14, -4, -31, 30, 0, 0, 0, -41, 0, 0, 0, 0, 19, 0, 96, 0, 0, 0, -233, 0, 42, 0, -18, 0, 0, 0, 0, 18, 0, -55, 55, 0, 0, 0, 0, 0, 0, 0, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 45, 0, 0, 0, 0, -23, -56, 0, 0, -52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 54, 17, 0, 0, 0, 0, 0, 18, 0, 53, -81, 125, 0, 0, 0, 0, 0, 0, 71, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 21, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 54, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 75, 0, 0, 0, 0, 0, 0, 0, 0, 19, 0, 0, -17, 0, 0, 44, 0, 47, 0, -71, 0, 0, 0, 0, -63, -79, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 67, 0, 0, 0, 0, 0, 73, 0, 0, 21, 0, 20, 0, 29, 60, -70, 0, -53, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55, 69, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, -77, 0, 0, 0, 0, 64, 69, 0, -22, 0, -72, 0, 0, 0, 80, 0, 0, 83, 0, 0, -67, 0, -24, 0, 59, -75, 0, -41, -40, 0, 0, -33, -34, 0, 0, 0, 0, 0, 0, 15, 0, 0, 0, 0, 0, 0, -36, 0, 0, -66, 0, 0, 0, 0, 0, 0, 46, 0, 0, 0, 63, 0, 0, 0, 0, 0, -15, 0, 0, 0, 0, 0, 0, -21, 0, 0, 21, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 73, 0, 0, -64, 0, 66, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -11, 42, 0, 0, 0, -45, 0, 0, 86, -24, 0, 0, 0, 0, 0, 23, 0, -54, -26, -60, 0, -94, 0, 54, -53, 0, 0, 0, -55, 0, 0, 0, 0, 0, 0, 0, -29, 0, 0, 0, 0, 0, 53, 0, 0, 0, -65, 0, 0, 0, 36, 0, 60, 0, 0, 0, -76, 0, 0, 0, 0, 0, 0, 76, 0, 0, 0, 0, -47, 0, -67, 0, 0, 0, 0, -27, 0, 78, 0, 0, 0, 45, 0, 0, 0, -22, 0, 0, 21, 0, 0, 0, 0, 0, 0, 68, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 84, -41, 0, 10, 0, -80, 0, -35, 16, 0, 26, 0, 0, 0, -74, 0, 0, -49, 0, 88, -35, 0, 0, 0, 0, -35, -70, 47, 0, 0, 0, 0, 0, 0, -85, 0, 0, -125, 0, 0, 0, 0, 0, -74, 0, 0, 0, 0, 30, 0, 0, 0, 0, -73, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 75, 0, 0, 0, 0, 0, 0, -44, 0, 0, 0, -103, 0, 0, -77, 0, 0, 0, -68, 95, 0, 0, 0, 75, 0, 0, 0, 0, 0, 0, 0, 0, -42, 0, 79, 0, 0, -1, 0, 0, 7, 0, 17, -16, -12, 0, 13, 0, -58, 22, 0, -15, -17, 0, 0, 0, 0, 0, 0, -18, 47, 0, 20, 0, -15, 0, -20, -50, -20, 29, -53, 0, 0, 0, 0, 0, -50, -19, 0, 0, 0, 0, 57, 0, 0, 28, 51, -50, 0, 0, 0, 0, 0, 0, 0, 15, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 51, 0, -34, 0, 21, 0, 17, 19, 0, 0, -19, -59, 0, 0, 39, 0, 0, 0, 0, -17, 0, 0, 0, 66, 0, 17, 17, 0, 0, 0, 0, 0, 0, 0, 0, 17, -20, 0, 0, 0, 0, 0, 15, 0, 0, -61, -16, -12, -64, 0, 0, 51, 0, 62, 61, 0, -20, 0, 58, 0, 0, 0, 0, 23, -18, -47, 23, -35, -58, 0, 0, 0, -36, -20, -49, 37, 0, 0, 30, 0, -48, 0, 0, 0, 44, 0, 0, 0, 0, 0, 53, 0, 0, 18, 0, 0, 53, 0, 37, 0, 0, -59, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18, 15, 20, -16, 30, -21, -39, -33, 0, 0, 66, 0, -52, -23, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 35, -16, -61, 0, 21, 0, 0, 16, -63, 0, -30, 46, 0, 36, -57, 68, -67, -23, 0, 39, 0, 0, -55, -36, 19, 0, 0, 0, 0, 0, 0, 40, 0, -11, 0, -21, 0, 51, -16, -15, 0, 0, 0, -30, 0, 28, -37, 34, 93, -21, 44, 0, 0, -14, -48, 31, 0, -38, 0, 0, -11, 0, 23, 25, 32, 0, 0, 21, 0, -95, 0, -12, 10, 0, 28, 0, 0, 0, -209, 0, 0, 0, 19, 0, 0, 0, 0, -56, 0, 16, 0, 0, 0, 53, 0, -37, 0, 0, -35, 0, 0, -40, -30, -59, 0, 0, 0, 0, 0, 49, 0, -47, 20, 0, 0, 0, 0, 0, 0, 0, 32, -17, 0, 0, 0, 15, -34, -96, 0, -38, 0, 0, 0, 0, 0, 61, -75, 35, 48, 0, -18, 0, 0, 0, 0, 0, 0, 0, -67, -69, -27, -34, 53, -25, 0, 0, 0, 0, -50, 0, 0, 0, 0, 0, 0, 76, 0, 0, 0, 0, -51, 0, 17, 30, 32, -23, 0, -14, 0, 0, -24, 0, 33]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(prod_signs)
print('___SENTINEL___')
| 3de129cb01da38ca42e94ad0febee98a |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-4
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-04, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[[1, 2, 2, -4]], [[0, 1]], [[]]]
results = [-9, 0, None]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(prod_signs)
print('___SENTINEL___')
| 19e4174ad0c83db0bf0e90eb245a3857 |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-6
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-07, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[[[1, 2, 3], [4, 5, 6], [7, 8, 9]], 3], [[[5, 9, 3], [4, 1, 6], [7, 8, 2]], 1], [[[1, 2, 3, 4], [5, 6, 7, 8], [9, 10, 11, 12], [13, 14, 15, 16]], 4], [[[6, 4, 13, 10], [5, 7, 12, 1], [3, 16, 11, 15], [8, 14, 9, 2]], 7], [[[8, 14, 9, 2], [6, 4, 13, 15], [5, 7, 1, 12], [3, 10, 11, 16]], 5], [[[11, 8, 7, 2], [5, 16, 14, 4], [9, 3, 15, 6], [12, 13, 10, 1]], 9], [[[12, 13, 10, 1], [9, 3, 15, 6], [5, 16, 14, 4], [11, 8, 7, 2]], 12], [[[2, 7, 4], [3, 1, 5], [6, 8, 9]], 8], [[[6, 1, 5], [3, 8, 9], [2, 7, 4]], 8], [[[1, 2], [3, 4]], 10], [[[1, 2, 3], [4, 5, 6], [7, 8, 9]], 1], [[[1, 2, 3], [4, 5, 6], [7, 8, 9]], 9], [[[9, 8, 7], [6, 5, 4], [3, 2, 1]], 3], [[[2, 3, 4], [5, 6, 7], [8, 9, 1]], 5], [[[5, 4, 7], [2, 1, 8], [3, 6, 9]], 4], [[[1, 2, 3], [4, 5, 6], [7, 8, 9]], 5], [[[1, 5, 3], [4, 2, 6], [7, 8, 9]], 4], [[[1, 4, 7], [2, 5, 8], [3, 6, 9]], 6], [[[1, 2, 3], [4, 5, 6], [7, 8, 9]], 15], [[[1, 5, 3], [4, 2, 6], [7, 8, 9]], 2], [[[2, 3, 4], [5, 6, 7], [8, 9, 1]], 13], [[[1, 2, 3], [4, 5, 6], [7, 8, 9]], 6], [[[2, 3, 4], [5, 6, 7], [8, 9, 1]], 4], [[[1, 4, 7], [2, 5, 8], [3, 6, 9]], 5], [[[1, 4, 7], [2, 5, 8], [3, 6, 9]], 7], [[[2, 3, 4], [5, 6, 7], [8, 9, 1]], 18], [[[1, 4, 7], [2, 5, 8], [3, 6, 9]], 9], [[[1, 2, 3], [4, 5, 6], [7, 8, 9]], 10], [[[1, 5, 3], [4, 2, 6], [7, 8, 9]], 3], [[[5, 4, 7], [2, 1, 8], [3, 6, 9]], 12], [[[2, 3, 4], [5, 6, 7], [8, 9, 1]], 1], [[[1, 4, 7], [2, 5, 8], [3, 6, 9]], 20], [[[1, 4, 7], [2, 5, 8], [3, 6, 9]], 19], [[[1, 2, 3], [4, 5, 6], [7, 8, 9]], 20], [[[2, 3, 4], [5, 6, 7], [8, 9, 1]], 17], [[[1, 4, 7], [2, 5, 8], [3, 6, 9]], 17], [[[2, 3, 4], [5, 6, 7], [8, 9, 1]], 3], [[[2, 3, 4], [5, 6, 7], [8, 9, 1]], 6], [[[1, 4, 7], [2, 5, 8], [3, 6, 9]], 13], [[[1, 4, 7], [2, 5, 8], [3, 6, 9]], 14], [[[2, 3, 4], [5, 6, 7], [8, 9, 1]], 2], [[[1, 4, 7], [2, 5, 8], [3, 6, 9]], 21], [[[2, 3, 4], [5, 6, 7], [8, 9, 1]], 12], [[[5, 4, 7], [2, 1, 8], [3, 6, 9]], 1], [[[2, 3, 4], [5, 6, 7], [8, 9, 1]], 15], [[[1, 6, 13, 14], [9, 8, 7, 16], [12, 10, 2, 11], [5, 4, 3, 15]], 16], [[[1, 5, 9, 13], [2, 6, 10, 14], [3, 7, 11, 15], [4, 8, 12, 16]], 16], [[[2, 7, 4], [3, 1, 5], [6, 8, 9]], 1], [[[1, 3, 5, 7], [9, 11, 13, 15], [2, 4, 6, 8], [10, 12, 14, 16]], 5], [[[10, 5, 20, 14, 16], [7, 11, 12, 17, 9], [13, 19, 1, 15, 8], [3, 18, 4, 6, 2], [22, 21, 23, 24, 25]], 10], [[[1, 2, 3, 4, 5], [6, 7, 8, 9, 10], [11, 12, 13, 14, 15], [16, 17, 18, 19, 20], [21, 22, 23, 24, 25]], 20], [[[10, 7, 14, 1], [15, 9, 8, 5], [12, 6, 2, 16], [13, 11, 3, 4]], 10], [[[1, 2], [3, 4]], 2], [[[1, 2, 3, 4, 5], [6, 7, 8, 9, 10], [11, 12, 13, 14, 15], [16, 17, 18, 19, 20], [21, 22, 23, 24, 25]], 1], [[[1, 2, 3, 4, 5], [6, 7, 8, 9, 10], [11, 12, 13, 14, 15], [16, 17, 18, 19, 20], [21, 22, 23, 24, 25]], 9], [[[1, 2], [3, 4]], 3], [[[1, 3, 5, 7], [9, 11, 13, 15], [2, 4, 6, 8], [10, 12, 14, 16]], 8], [[[10, 5, 20, 14, 16], [7, 11, 12, 17, 9], [13, 19, 1, 15, 8], [3, 18, 4, 6, 2], [22, 21, 23, 24, 25]], 11], [[[1, 2], [3, 4]], 24], [[[10, 7, 14, 1], [15, 9, 8, 5], [12, 6, 2, 16], [13, 11, 3, 4]], 11], [[[1, 3, 5, 7], [9, 11, 13, 15], [2, 4, 6, 8], [10, 12, 14, 16]], 6], [[[10, 7, 14, 1], [15, 9, 8, 5], [12, 6, 2, 16], [13, 11, 3, 4]], 4], [[[1, 3, 5, 7], [9, 11, 13, 15], [2, 4, 6, 8], [10, 12, 14, 16]], 10], [[[1, 3, 5, 7], [9, 11, 13, 15], [2, 4, 6, 8], [10, 12, 14, 16]], 9], [[[1, 3, 5, 7], [9, 11, 13, 15], [2, 4, 6, 8], [10, 12, 14, 16]], 15], [[[1, 2], [3, 4]], 18], [[[1, 6, 13, 14], [9, 8, 7, 16], [12, 10, 2, 11], [5, 4, 3, 15]], 14], [[[10, 7, 14, 1], [15, 9, 8, 5], [12, 6, 2, 16], [13, 11, 3, 4]], 5], [[[10, 5, 20, 14, 16], [7, 11, 12, 17, 9], [13, 19, 1, 15, 8], [3, 18, 4, 6, 2], [22, 21, 23, 24, 25]], 23], [[[10, 5, 20, 14, 16], [7, 11, 12, 17, 9], [13, 19, 1, 15, 8], [3, 18, 4, 6, 2], [22, 21, 23, 24, 25]], 6], [[[1, 2, 3, 4, 5], [6, 7, 8, 9, 10], [11, 12, 13, 14, 15], [16, 17, 18, 19, 20], [21, 22, 23, 24, 25]], 8], [[[10, 5, 20, 14, 16], [7, 11, 12, 17, 9], [13, 19, 1, 15, 8], [3, 18, 4, 6, 2], [22, 21, 23, 24, 25]], 9], [[[1, 6, 13, 14], [9, 8, 7, 16], [12, 10, 2, 11], [5, 4, 3, 15]], 15], [[[1, 3, 5, 7], [9, 11, 13, 15], [2, 4, 6, 8], [10, 12, 14, 16]], 18], [[[1, 6, 13, 14], [9, 8, 7, 16], [12, 10, 2, 11], [5, 4, 3, 15]], 9], [[[10, 5, 20, 14, 16], [7, 11, 12, 17, 9], [13, 19, 1, 15, 8], [3, 18, 4, 6, 2], [22, 21, 23, 24, 25]], 4], [[[1, 2, 3], [4, 5, 6], [7, 8, 9]], 21], [[[1, 3, 5, 7], [9, 11, 13, 15], [2, 4, 6, 8], [10, 12, 14, 16]], 17], [[[10, 5, 20, 14, 16], [7, 11, 12, 17, 9], [13, 19, 1, 15, 8], [3, 18, 4, 6, 2], [22, 21, 23, 24, 25]], 25], [[[10, 5, 20, 14, 16], [7, 11, 12, 17, 9], [13, 19, 1, 15, 8], [3, 18, 4, 6, 2], [22, 21, 23, 24, 25]], 16], [[[1, 2, 3, 4, 5], [6, 7, 8, 9, 10], [11, 12, 13, 14, 15], [16, 17, 18, 19, 20], [21, 22, 23, 24, 25]], 7], [[[1, 3, 5, 7], [9, 11, 13, 15], [2, 4, 6, 8], [10, 12, 14, 16]], 19], [[[1, 3, 5, 7], [9, 11, 13, 15], [2, 4, 6, 8], [10, 12, 14, 16]], 3], [[[1, 6, 13, 14], [9, 8, 7, 16], [12, 10, 2, 11], [5, 4, 3, 15]], 21], [[[10, 5, 20, 14, 16], [7, 11, 12, 17, 9], [13, 19, 1, 15, 8], [3, 18, 4, 6, 2], [22, 21, 23, 24, 25]], 5], [[[10, 7, 14, 1], [15, 9, 8, 5], [12, 6, 2, 16], [13, 11, 3, 4]], 9], [[[1, 3, 5, 7], [9, 11, 13, 15], [2, 4, 6, 8], [10, 12, 14, 16]], 14], [[[10, 5, 20, 14, 16], [7, 11, 12, 17, 9], [13, 19, 1, 15, 8], [3, 18, 4, 6, 2], [22, 21, 23, 24, 25]], 7], [[[1, 3, 5, 7], [9, 11, 13, 15], [2, 4, 6, 8], [10, 12, 14, 16]], 11], [[[1, 2, 3, 4, 5], [6, 7, 8, 9, 10], [11, 12, 13, 14, 15], [16, 17, 18, 19, 20], [21, 22, 23, 24, 25]], 2], [[[1, 2, 3, 4, 5], [6, 7, 8, 9, 10], [11, 12, 13, 14, 15], [16, 17, 18, 19, 20], [21, 22, 23, 24, 25]], 22], [[[1, 2], [3, 4]], 25], [[[1, 3, 5, 7], [9, 11, 13, 15], [2, 4, 6, 8], [10, 12, 14, 16]], 7], [[[1, 2], [3, 4]], 17], [[[10, 5, 20, 14, 16], [7, 11, 12, 17, 9], [13, 19, 1, 15, 8], [3, 18, 4, 6, 2], [22, 21, 23, 24, 25]], 12], [[[2, 7, 4], [3, 1, 5], [6, 8, 9]], 20], [[[10, 5, 20, 14, 16], [7, 11, 12, 17, 9], [13, 19, 1, 15, 8], [3, 18, 4, 6, 2], [22, 21, 23, 24, 25]], 17], [[[10, 7, 14, 1], [15, 9, 8, 5], [12, 6, 2, 16], [13, 11, 3, 4]], 2], [[[1, 2, 3, 4, 5], [6, 7, 8, 9, 10], [11, 12, 13, 14, 15], [16, 17, 18, 19, 20], [21, 22, 23, 24, 25]], 13], [[[1, 3, 5, 7], [9, 11, 13, 15], [2, 4, 6, 8], [10, 12, 14, 16]], 16], [[[1, 3, 5, 7], [9, 11, 13, 15], [2, 4, 6, 8], [10, 12, 14, 16]], 24], [[[1, 2], [3, 4]], 19], [[[10, 7, 14, 1], [15, 9, 8, 5], [12, 6, 2, 16], [13, 11, 3, 4]], 13], [[[1, 3, 5, 7], [9, 11, 13, 15], [2, 4, 6, 8], [10, 12, 14, 16]], 13], [[[10, 5, 20, 14, 16], [7, 11, 12, 17, 9], [13, 19, 1, 15, 8], [3, 18, 4, 6, 2], [22, 21, 23, 24, 25]], 24], [[[2, 7, 4], [3, 1, 5], [6, 8, 9]], 9], [[[1, 5, 9, 13], [2, 6, 10, 14], [3, 7, 11, 15], [4, 8, 12, 16]], 22], [[[1, 6, 13, 14], [9, 8, 7, 16], [12, 10, 2, 11], [5, 4, 3, 15]], 12], [[[1, 2], [3, 4]], 16], [[[2, 7, 4], [3, 1, 5], [6, 8, 9]], 19], [[[1, 6, 13, 14], [9, 8, 7, 16], [12, 10, 2, 11], [5, 4, 3, 15]], 10], [[[1, 2, 3], [4, 5, 6], [7, 8, 9]], 4], [[[10, 7, 14, 1], [15, 9, 8, 5], [12, 6, 2, 16], [13, 11, 3, 4]], 3], [[[1, 2], [3, 4]], 22], [[[10, 5, 20, 14, 16], [7, 11, 12, 17, 9], [13, 19, 1, 15, 8], [3, 18, 4, 6, 2], [22, 21, 23, 24, 25]], 22], [[[1, 6, 13, 14], [9, 8, 7, 16], [12, 10, 2, 11], [5, 4, 3, 15]], 24], [[[1, 6, 13, 14], [9, 8, 7, 16], [12, 10, 2, 11], [5, 4, 3, 15]], 23], [[[10, 7, 14, 1], [15, 9, 8, 5], [12, 6, 2, 16], [13, 11, 3, 4]], 23], [[[1, 6, 13, 14], [9, 8, 7, 16], [12, 10, 2, 11], [5, 4, 3, 15]], 22], [[[1, 2, 3], [4, 5, 6], [7, 8, 9]], 19], [[[1, 2], [3, 4]], 5], [[[1, 2, 3, 4, 5], [6, 7, 8, 9, 10], [11, 12, 13, 14, 15], [16, 17, 18, 19, 20], [21, 22, 23, 24, 25]], 10], [[[1, 2, 3], [4, 5, 6], [7, 8, 9]], 12], [[[1, 3, 5, 7], [9, 11, 13, 15], [2, 4, 6, 8], [10, 12, 14, 16]], 1], [[[10, 5, 20, 14, 16], [7, 11, 12, 17, 9], [13, 19, 1, 15, 8], [3, 18, 4, 6, 2], [22, 21, 23, 24, 25]], 8], [[[1, 2, 3], [4, 5, 6], [7, 8, 9]], 25], [[[2, 7, 4], [3, 1, 5], [6, 8, 9]], 18], [[[1, 2, 3, 4, 5], [6, 7, 8, 9, 10], [11, 12, 13, 14, 15], [16, 17, 18, 19, 20], [21, 22, 23, 24, 25]], 23], [[[1, 6, 13, 14], [9, 8, 7, 16], [12, 10, 2, 11], [5, 4, 3, 15]], 11], [[[1, 6, 13, 14], [9, 8, 7, 16], [12, 10, 2, 11], [5, 4, 3, 15]], 2], [[[10, 7, 14, 1], [15, 9, 8, 5], [12, 6, 2, 16], [13, 11, 3, 4]], 12], [[[1, 6, 13, 14], [9, 8, 7, 16], [12, 10, 2, 11], [5, 4, 3, 15]], 7], [[[1, 2, 3], [4, 5, 6], [7, 8, 9]], 11], [[[1, 6, 13, 14], [9, 8, 7, 16], [12, 10, 2, 11], [5, 4, 3, 15]], 18], [[[1, 5, 9, 13], [2, 6, 10, 14], [3, 7, 11, 15], [4, 8, 12, 16]], 8], [[[1, 2, 3], [4, 5, 6], [7, 8, 9]], 18], [[[1, 2], [3, 4]], 21], [[[1, 3, 5, 7], [9, 11, 13, 15], [2, 4, 6, 8], [10, 12, 14, 16]], 21], [[[10, 7, 14, 1], [15, 9, 8, 5], [12, 6, 2, 16], [13, 11, 3, 4]], 24], [[[1, 5, 9, 13], [2, 6, 10, 14], [3, 7, 11, 15], [4, 8, 12, 16]], 2], [[[10, 5, 20, 14, 16], [7, 11, 12, 17, 9], [13, 19, 1, 15, 8], [3, 18, 4, 6, 2], [22, 21, 23, 24, 25]], 2], [[[1, 3, 5, 7], [9, 11, 13, 15], [2, 4, 6, 8], [10, 12, 14, 16]], 12], [[[1, 6, 13, 14], [9, 8, 7, 16], [12, 10, 2, 11], [5, 4, 3, 15]], 8], [[[10, 5, 20, 14, 16], [7, 11, 12, 17, 9], [13, 19, 1, 15, 8], [3, 18, 4, 6, 2], [22, 21, 23, 24, 25]], 21], [[[1, 2, 3], [4, 5, 6], [7, 8, 9]], 16], [[[10, 5, 20, 14, 16], [7, 11, 12, 17, 9], [13, 19, 1, 15, 8], [3, 18, 4, 6, 2], [22, 21, 23, 24, 25]], 19], [[[1, 2], [3, 4]], 1], [[[1, 2], [3, 4]], 4], [[[1, 2, 3, 4, 5], [6, 7, 8, 9, 10], [11, 12, 13, 14, 15], [16, 17, 18, 19, 20], [21, 22, 23, 24, 25]], 16], [[[1, 2], [3, 4]], 7], [[[1, 3, 5, 7], [9, 11, 13, 15], [2, 4, 6, 8], [10, 12, 14, 16]], 4], [[[10, 7, 14, 1], [15, 9, 8, 5], [12, 6, 2, 16], [13, 11, 3, 4]], 19], [[[1, 5, 9, 13], [2, 6, 10, 14], [3, 7, 11, 15], [4, 8, 12, 16]], 17], [[[1, 2], [3, 4]], 6], [[[10, 5, 20, 14, 16], [7, 11, 12, 17, 9], [13, 19, 1, 15, 8], [3, 18, 4, 6, 2], [22, 21, 23, 24, 25]], 18], [[[10, 7, 14, 1], [15, 9, 8, 5], [12, 6, 2, 16], [13, 11, 3, 4]], 6], [[[1, 2], [3, 4]], 23], [[[10, 7, 14, 1], [15, 9, 8, 5], [12, 6, 2, 16], [13, 11, 3, 4]], 14], [[[10, 7, 14, 1], [15, 9, 8, 5], [12, 6, 2, 16], [13, 11, 3, 4]], 18], [[[1, 5, 9, 13], [2, 6, 10, 14], [3, 7, 11, 15], [4, 8, 12, 16]], 9], [[[10, 7, 14, 1], [15, 9, 8, 5], [12, 6, 2, 16], [13, 11, 3, 4]], 7], [[[1, 3, 5, 7], [9, 11, 13, 15], [2, 4, 6, 8], [10, 12, 14, 16]], 23], [[[1, 2], [3, 4]], 8], [[[10, 7, 14, 1], [15, 9, 8, 5], [12, 6, 2, 16], [13, 11, 3, 4]], 17], [[[10, 7, 14, 1], [15, 9, 8, 5], [12, 6, 2, 16], [13, 11, 3, 4]], 22], [[[1, 6, 13, 14], [9, 8, 7, 16], [12, 10, 2, 11], [5, 4, 3, 15]], 20], [[[1, 5, 9, 13], [2, 6, 10, 14], [3, 7, 11, 15], [4, 8, 12, 16]], 15], [[[1, 2, 3, 4, 5], [6, 7, 8, 9, 10], [11, 12, 13, 14, 15], [16, 17, 18, 19, 20], [21, 22, 23, 24, 25]], 14], [[[1, 5, 9, 13], [2, 6, 10, 14], [3, 7, 11, 15], [4, 8, 12, 16]], 14], [[[10, 7, 14, 1], [15, 9, 8, 5], [12, 6, 2, 16], [13, 11, 3, 4]], 8], [[[1, 6, 13, 14], [9, 8, 7, 16], [12, 10, 2, 11], [5, 4, 3, 15]], 1], [[[1, 2], [3, 4]], 11], [[[1, 5, 9, 13], [2, 6, 10, 14], [3, 7, 11, 15], [4, 8, 12, 16]], 3], [[[10, 7, 14, 1], [15, 9, 8, 5], [12, 6, 2, 16], [13, 11, 3, 4]], 1], [[[1, 3, 5, 7], [9, 11, 13, 15], [2, 4, 6, 8], [10, 12, 14, 16]], 2], [[[1, 6, 13, 14], [9, 8, 7, 16], [12, 10, 2, 11], [5, 4, 3, 15]], 6], [[[10, 7, 14, 1], [15, 9, 8, 5], [12, 6, 2, 16], [13, 11, 3, 4]], 15], [[[1, 3, 5, 7], [9, 11, 13, 15], [2, 4, 6, 8], [10, 12, 14, 16]], 22], [[[1, 2], [3, 4]], 12], [[[10, 5, 20, 14, 16], [7, 11, 12, 17, 9], [13, 19, 1, 15, 8], [3, 18, 4, 6, 2], [22, 21, 23, 24, 25]], 14], [[[1, 2], [3, 4]], 9], [[[1, 2, 3, 4, 5], [6, 7, 8, 9, 10], [11, 12, 13, 14, 15], [16, 17, 18, 19, 20], [21, 22, 23, 24, 25]], 21], [[[1, 2], [3, 4]], 20], [[[10, 7, 14, 1], [15, 9, 8, 5], [12, 6, 2, 16], [13, 11, 3, 4]], 20], [[[2, 7, 4], [3, 1, 5], [6, 8, 9]], 11], [[[1, 5, 9, 13], [2, 6, 10, 14], [3, 7, 11, 15], [4, 8, 12, 16]], 4], [[[1, 5, 9, 13], [2, 6, 10, 14], [3, 7, 11, 15], [4, 8, 12, 16]], 11], [[[1, 5, 9, 13], [2, 6, 10, 14], [3, 7, 11, 15], [4, 8, 12, 16]], 13], [[[2, 7, 4], [3, 1, 5], [6, 8, 9]], 23], [[[2, 7, 4], [3, 1, 5], [6, 8, 9]], 4], [[[1, 6, 13, 14], [9, 8, 7, 16], [12, 10, 2, 11], [5, 4, 3, 15]], 25], [[[1, 3, 5, 7], [9, 11, 13, 15], [2, 4, 6, 8], [10, 12, 14, 16]], 20], [[[10, 5, 20, 14, 16], [7, 11, 12, 17, 9], [13, 19, 1, 15, 8], [3, 18, 4, 6, 2], [22, 21, 23, 24, 25]], 20], [[[10, 5, 20, 14, 16], [7, 11, 12, 17, 9], [13, 19, 1, 15, 8], [3, 18, 4, 6, 2], [22, 21, 23, 24, 25]], 1], [[[2, 7, 4], [3, 1, 5], [6, 8, 9]], 14], [[[10, 5, 20, 14, 16], [7, 11, 12, 17, 9], [13, 19, 1, 15, 8], [3, 18, 4, 6, 2], [22, 21, 23, 24, 25]], 3], [[[1, 2, 3, 4, 5], [6, 7, 8, 9, 10], [11, 12, 13, 14, 15], [16, 17, 18, 19, 20], [21, 22, 23, 24, 25]], 17]]
results = [[1, 2, 1], [1], [1, 2, 1, 2], [1, 10, 1, 10, 1, 10, 1], [1, 7, 1, 7, 1], [1, 6, 1, 6, 1, 6, 1, 6, 1], [1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6], [1, 3, 1, 3, 1, 3, 1, 3], [1, 5, 1, 5, 1, 5, 1, 5], [1, 2, 1, 2, 1, 2, 1, 2, 1, 2], [1], [1, 2, 1, 2, 1, 2, 1, 2, 1], [1, 2, 1], [1, 7, 1, 7, 1], [1, 2, 1, 2], [1, 2, 1, 2, 1], [1, 4, 1, 4], [1, 2, 1, 2, 1, 2], [1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1], [1, 4], [1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1], [1, 2, 1, 2, 1, 2], [1, 7, 1, 7], [1, 2, 1, 2, 1], [1, 2, 1, 2, 1, 2, 1], [1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7], [1, 2, 1, 2, 1, 2, 1, 2, 1], [1, 2, 1, 2, 1, 2, 1, 2, 1, 2], [1, 4, 1], [1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2], [1], [1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2], [1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1], [1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2], [1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1], [1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1], [1, 7, 1], [1, 7, 1, 7, 1, 7], [1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1], [1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2], [1, 7], [1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1], [1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7], [1], [1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1], [1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6], [1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2], [1], [1, 3, 1, 3, 1], [1, 4, 1, 4, 1, 4, 1, 4, 1, 4], [1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2], [1, 5, 1, 5, 1, 5, 1, 5, 1, 5], [1, 2], [1], [1, 2, 1, 2, 1, 2, 1, 2, 1], [1, 2, 1], [1, 3, 1, 3, 1, 3, 1, 3], [1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1], [1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2], [1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1], [1, 3, 1, 3, 1, 3], [1, 5, 1, 5], [1, 3, 1, 3, 1, 3, 1, 3, 1, 3], [1, 3, 1, 3, 1, 3, 1, 3, 1], [1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1], [1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2], [1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6], [1, 5, 1, 5, 1], [1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1], [1, 4, 1, 4, 1, 4], [1, 2, 1, 2, 1, 2, 1, 2], [1, 4, 1, 4, 1, 4, 1, 4, 1], [1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1], [1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3], [1, 6, 1, 6, 1, 6, 1, 6, 1], [1, 4, 1, 4], [1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1], [1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1], [1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1], [1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4], [1, 2, 1, 2, 1, 2, 1], [1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1], [1, 3, 1], [1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1], [1, 4, 1, 4, 1], [1, 5, 1, 5, 1, 5, 1, 5, 1], [1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3], [1, 4, 1, 4, 1, 4, 1], [1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1], [1, 2], [1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2], [1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1], [1, 3, 1, 3, 1, 3, 1], [1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1], [1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4], [1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3], [1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1], [1, 5], [1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1], [1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3], [1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3], [1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1], [1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1], [1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1], [1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4], [1, 3, 1, 3, 1, 3, 1, 3, 1], [1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2], [1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6], [1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2], [1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1], [1, 6, 1, 6, 1, 6, 1, 6, 1, 6], [1, 2, 1, 2], [1, 5, 1], [1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2], [1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4], [1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6], [1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1], [1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1], [1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6], [1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1], [1, 2, 1, 2, 1], [1, 2, 1, 2, 1, 2, 1, 2, 1, 2], [1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2], [1], [1, 4, 1, 4, 1, 4, 1, 4], [1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1], [1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3], [1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1], [1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1], [1, 6], [1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5], [1, 6, 1, 6, 1, 6, 1], [1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1], [1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6], [1, 2, 1, 2, 1, 2, 1, 2], [1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2], [1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1], [1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1], [1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5], [1, 2], [1, 4], [1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3], [1, 6, 1, 6, 1, 6, 1, 6], [1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1], [1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2], [1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1], [1], [1, 2, 1, 2], [1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2], [1, 2, 1, 2, 1, 2, 1], [1, 3, 1, 3], [1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1], [1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1], [1, 2, 1, 2, 1, 2], [1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4], [1, 5, 1, 5, 1, 5], [1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1], [1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5], [1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5], [1, 2, 1, 2, 1, 2, 1, 2, 1], [1, 5, 1, 5, 1, 5, 1], [1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1], [1, 2, 1, 2, 1, 2, 1, 2], [1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1], [1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5], [1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6], [1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1], [1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2], [1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2], [1, 5, 1, 5, 1, 5, 1, 5], [1], [1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1], [1, 2, 1], [1], [1, 3], [1, 6, 1, 6, 1, 6], [1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1], [1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3], [1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2], [1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4], [1, 2, 1, 2, 1, 2, 1, 2, 1], [1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1], [1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2], [1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5], [1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1], [1, 2, 1, 2], [1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1], [1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1], [1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1], [1, 3, 1, 3], [1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1], [1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3], [1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4], [1], [1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3], [1, 4, 1], [1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1]]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(minPath)
print('___SENTINEL___')
| c33d841e663b1394bf64fb8f7e75c960 |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-4
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-04, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[[[1, 2, 3], [4, 5, 6], [7, 8, 9]], 3], [[[5, 9, 3], [4, 1, 6], [7, 8, 2]], 1]]
results = [[1, 2, 1], [1]]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(minPath)
print('___SENTINEL___')
| 9aa08e97d9b9a2edf0a1c2a16f6a0d16 |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-6
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-07, atol=atol)
else:
assert exact_match
def ref_func(n):
if n == 0: return [1]
if n == 1: return [1, 3]
ans = [1, 3]
for i in range(2, n + 1):
if i % 2 == 0:
ans.append(1 + i / 2)
else:
ans.append(ans[-1] + ans[-2] + 1 + (i + 1) / 2)
return ans
def check(candidate):
inputs = [[3], [4], [5], [6], [7], [8], [9], [20], [0], [1], [2], [10], [15], [25], [13], [12], [30], [100], [35], [50], [99], [29], [24], [51], [16], [14], [26], [17], [18], [23], [49], [34], [98], [11], [28], [36], [22], [101], [102], [33], [31], [27], [21], [97], [32], [52], [48], [53], [47], [19], [103], [88], [87], [89], [96], [95], [46], [45], [44], [94], [104], [85], [37], [86], [43], [105], [42], [84], [38], [39], [106], [83], [82], [93], [108], [81], [41], [64], [40], [90], [54], [65], [66], [91], [63], [107], [67], [92], [109], [80], [62], [61], [55], [75], [79], [68], [111], [110], [1000000], [74], [73], [1000001], [999999], [999997], [999998], [999996], [999995], [76], [77], [78], [71], [72], [1000002], [1000003], [1000004]]
for i, inp in enumerate(inputs):
assertion(candidate(*inp), ref_func(*inp), 0)
check(tri)
print('___SENTINEL___')
| e4c49fcd7571309dbc80584669221232 |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-4
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-04, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[3]]
results = [[1, 3, 2, 8]]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(tri)
print('___SENTINEL___')
| 89f26c25d78239881f1b48cdaf4e3f24 |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-6
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-07, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[5], [54], [120], [5014], [98765], [5576543], [2468], [951], [246], [135797531], [888], [182135], [703], [999], [111], [1001], [3], [952], [889], [998], [2], [182136], [25], [701], [4], [24], [997], [247], [6], [953], [135797532], [7], [248], [23], [996], [135797533], [995], [994], [891], [26], [8], [112], [22], [950], [702], [1000], [704], [182137], [893], [993], [135797534], [135797535], [245], [249], [9], [244], [890], [47], [992], [700], [135797530], [705], [243], [27], [182134], [887], [46], [894], [699], [45], [707], [892], [182138], [182139], [1002], [113], [1], [88], [706], [250], [110], [949], [698], [242], [11], [135797529], [1003], [109], [135797536], [182133], [43], [135797538], [241], [71], [114], [28], [135797539], [10], [89], [954], [240], [44], [886], [115], [70], [991], [323456789101112131415161718192021222324252627282930313233343536], [182937457814614279640075438629345987263878749129823578184719333882443], [8843924584737538929273870549395092387583092748327447402387489518947358439582352948], [124834738571930288374895092375830274843252127479238048384758941827309258429539458173975894729347584], [3902482539585903843732859374089573948579380957409378540930757943758435987234095873947598343], [13579], [123456789], [945], [1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950515253], [182937457814614279640075438629345987263878749129823578184719333882442], [182937457814614279640075438629345987263878749129823578184719333882444], [123456788], [123456787], [944], [124834738571930288374895092375830274843252127479238048384758941827309258429539458173975894729347585], [124834738571930288374895092375830274843252127479238048384758941827309258429539458173975894729347583], [1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950515254], [3902482539585903843732859374089573948579380957409378540930757943758435987234095873947598344], [323456789101112131415161718192021222324252627282930313233343535], [1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950515252], [3902482539585903843732859374089573948579380957409378540930757943758435987234095873947598342], [182937457814614279640075438629345987263878749129823578184719333882441], [182937457814614279640075438629345987263878749129823578184719333882445], [943], [1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950515251], [8843924584737538929273870549395092387583092748327447402387489518947358439582352947], [323456789101112131415161718192021222324252627282930313233343537], [323456789101112131415161718192021222324252627282930313233343534], [124834738571930288374895092375830274843252127479238048384758941827309258429539458173975894729347587], [323456789101112131415161718192021222324252627282930313233343538], [124834738571930288374895092375830274843252127479238048384758941827309258429539458173975894729347586], [182937457814614279640075438629345987263878749129823578184719333882446], [942], [182937457814614279640075438629345987263878749129823578184719333882448], [124834738571930288374895092375830274843252127479238048384758941827309258429539458173975894729347582], [182937457814614279640075438629345987263878749129823578184719333882447], [941], [124834738571930288374895092375830274843252127479238048384758941827309258429539458173975894729347581], [8843924584737538929273870549395092387583092748327447402387489518947358439582352946], [3902482539585903843732859374089573948579380957409378540930757943758435987234095873947598341], [123456786], [8843924584737538929273870549395092387583092748327447402387489518947358439582352949], [13578], [1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950515255], [1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950515256], [8843924584737538929273870549395092387583092748327447402387489518947358439582352945], [3902482539585903843732859374089573948579380957409378540930757943758435987234095873947598346], [8843924584737538929273870549395092387583092748327447402387489518947358439582352944], [8843924584737538929273870549395092387583092748327447402387489518947358439582352950], [53], [940], [52], [182937457814614279640075438629345987263878749129823578184719333882440], [1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950515257], [1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950515250], [946], [73], [947], [182937457814614279640075438629345987263878749129823578184719333882449], [55], [3902482539585903843732859374089573948579380957409378540930757943758435987234095873947598340], [323456789101112131415161718192021222324252627282930313233343539], [16], [69], [15], [13577], [3902482539585903843732859374089573948579380957409378540930757943758435987234095873947598345], [3902482539585903843732859374089573948579380957409378540930757943758435987234095873947598347], [30], [124834738571930288374895092375830274843252127479238048384758941827309258429539458173975894729347588], [74], [64], [1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950515249], [1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950515258], [72], [17], [8843924584737538929273870549395092387583092748327447402387489518947358439582352951], [14], [51], [95], [94], [123456785], [57], [8843924584737538929273870549395092387583092748327447402387489518947358439582352943], [32], [65], [62], [68], [182937457814614279640075438629345987263878749129823578184719333882439], [123456784], [18], [33], [323456789101112131415161718192021222324252627282930313233343533], [96], [76], [124834738571930288374895092375830274843252127479238048384758941827309258429539458173975894729347589], [948], [75], [13580], [13], [182937457814614279640075438629345987263878749129823578184719333882450], [123456783], [1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950515248], [100], [11111111111111111111], [22222222222], [333333333333], [13581], [123456790], [3902482539585903843732859374089573948579380957409378540930757943758435987234095873947598348], [3902482539585903843732859374089573948579380957409378540930757943758435987234095873947598349], [13576], [8843924584737538929273870549395092387583092748327447402387489518947358439582352942], [8843924584737538929273870549395092387583092748327447402387489518947358439582352941], [13582], [8843924584737538929273870549395092387583092748327447402387489518947358439582352940], [123456791], [8843924584737538929273870549395092387583092748327447402387489518947358439582352939], [323456789101112131415161718192021222324252627282930313233343532], [13583], [8843924584737538929273870549395092387583092748327447402387489518947358439582352938], [21], [49], [20], [13585], [123456792], [323456789101112131415161718192021222324252627282930313233343531], [99], [48]]
results = [5, 5, 1, 5, 315, 2625, 0, 45, 0, 99225, 0, 15, 21, 729, 1, 1, 3, 45, 9, 81, 0, 3, 5, 7, 0, 0, 567, 7, 0, 135, 99225, 7, 0, 3, 81, 297675, 405, 81, 9, 0, 0, 1, 0, 45, 7, 1, 7, 21, 27, 243, 99225, 496125, 5, 9, 9, 0, 9, 7, 81, 7, 99225, 35, 3, 7, 3, 7, 0, 9, 81, 5, 49, 9, 3, 27, 1, 3, 1, 0, 7, 5, 1, 81, 9, 0, 1, 297675, 3, 9, 99225, 9, 3, 99225, 1, 7, 1, 0, 893025, 1, 9, 45, 0, 0, 0, 5, 7, 81, 83053267329375, 2374385525072174368125, 9200959088342885342286486328125, 47338934509524145086063972158203125, 149749111277833459456445972784093017578125, 945, 945, 45, 83439724563916998046875, 791461841690724789375, 791461841690724789375, 105, 735, 9, 236694672547620725430319860791015625, 142016803528572435258191916474609375, 27813241521305666015625, 49916370425944486485481990928031005859375, 415266336646875, 27813241521305666015625, 49916370425944486485481990928031005859375, 791461841690724789375, 3957309208453623946875, 27, 27813241521305666015625, 64406713618400197396005404296875, 581372871305625, 83053267329375, 331372541566669015602447805107421875, 83053267329375, 47338934509524145086063972158203125, 791461841690724789375, 9, 791461841690724789375, 47338934509524145086063972158203125, 5540232891835073525625, 9, 47338934509524145086063972158203125, 9200959088342885342286486328125, 49916370425944486485481990928031005859375, 105, 82808631795085968080578376953125, 105, 139066207606528330078125, 27813241521305666015625, 46004795441714426711432431640625, 49916370425944486485481990928031005859375, 9200959088342885342286486328125, 46004795441714426711432431640625, 15, 9, 5, 791461841690724789375, 194692690649139662109375, 27813241521305666015625, 9, 21, 63, 7123156575216523104375, 25, 49916370425944486485481990928031005859375, 747479405964375, 1, 9, 5, 735, 249581852129722432427409954640155029296875, 349414592981611405398373936496217041015625, 3, 47338934509524145086063972158203125, 7, 0, 50063834738350198828125, 27813241521305666015625, 7, 7, 46004795441714426711432431640625, 1, 5, 45, 9, 525, 35, 27602877265028656026859458984375, 3, 5, 0, 0, 21369469725649569313125, 105, 1, 9, 249159801988125, 9, 7, 426050410585717305774575749423828125, 9, 35, 15, 3, 3957309208453623946875, 315, 5562648304261133203125, 1, 1, 0, 531441, 15, 945, 49916370425944486485481990928031005859375, 449247333833500378369337918352279052734375, 105, 9200959088342885342286486328125, 9200959088342885342286486328125, 15, 9200959088342885342286486328125, 945, 248425895385257904241735130859375, 83053267329375, 45, 27602877265028656026859458984375, 1, 9, 0, 75, 945, 83053267329375, 81, 0]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(digits)
print('___SENTINEL___')
| fdf3b676b4191aa4970691959fead578 |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-4
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-04, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[1], [4], [235]]
results = [1, 0, 15]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(digits)
print('___SENTINEL___')
| f12e455df7f386bc0b45f8b97ca32e25 |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-6
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-07, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [['[[]]'], ['[]]]]]]][[[[[]'], ['[][]'], ['[]'], ['[[[[]]]]'], ['[]]]]]]]]]]'], ['[][][[]]'], ['[[]'], ['[]]'], ['[[]][['], ['[[][]]'], [''], ['[[[[[[[['], [']]]]]]]]'], ['[[]][]'], ['[[]]]'], ['[]][[]'], ['[][][]'], ['[[][]['], ['[[[]]]]'], ['[[[][]]]'], ['[][][][[][]][]'], ['][[][]['], ['[[[[[[]]]]]]'], ['[[][[]['], ['][]][[]'], ['[[[[][]]]][]'], ['[[[[][]]]]][]'], ['][]][][]][[][]'], [']][[][[[]]]]['], [']][[][[]]]]['], ['[[[][]][[][][]]]]][]'], [']][[][[]]]][[[[[[][]]]]][][]]]][]['], ['[[[]]]'], ['[[[[[[]]]]]]][[][[]]]][[[[[[][]]]]][][]]]][][]'], ['][]][[[]]'], ['][]][]'], ['][][]['], ['][]][[[]'], ['][]][[[][]]]]]][[][[]]]][[[[[[][]]]]][][]]]][]['], ['[[[[[[]]]]]]]'], ['[[]]]]]]][]'], ['[[[]]]][]][][]][[][]]'], ['][][]][[[]]][[[]'], ['][]]][[][]'], ['[[[[[[]]]]]]][[][[]]]][[[[[[][]]]]][][]]]][]['], ['][][[[]'], ['][][][][]][[][]'], ['][][][[[]'], ['[[]]]]][[][[]]]]['], [']]'], ['[[]]]]]]][[[]]]][]][][]][[][]][]]'], ['[[[[[[]]]]'], ['[[[[[[]]]]][]]]'], ['[[]]]]]][]'], ['[][][][][][]'], ['][][][][][][][]][[[]'], ['[[]]]]][[][[]]]][['], ['[[[[[][]]]]]]'], ['[][][][][]][[[]]][][]'], ['[][][][][]][]][]][][]][[][]'], [']][[][[[]]['], ['[[[[][]]]][][[[[[[]]]]]]][[][[]]]][[[[[[][]]]]][][]]]][][[[]['], ['[[[[[[]]]]]]][[][[]]]]]['], ['][][[][[[[[[[[[][]][[[]]]]]]]]][[][[]]]][[[[]]][][]'], ['][[[[[[]]]]][]]][][[[]'], [']][[][[]'], ['[[[[][]]]][][[[[[[]]]]]]][[][[]]]][[[[[[][]]]]][][]]][][[[]][]][][]][[][]['], ['[[[[][]]]][][[[[[[]]]]]]][[][[]]]][[[[[[][]]]]][][]]]][][[[][[[]]]]][[][[]]]]['], ['][]]][][][]'], ['[[[][[]['], ['][][][][[[[]]]]][[][]'], ['[[]]]]][['], ['[[]]]]]][][][][[[[]]]]][[][][[][[]]]]['], ['][]][[[][]]]]]][[][[]]]][[[[[[][]]]]][][]]]][][[[[[][]]]]][]'], ['[][][][][][[]'], ['[[[[[[]]][[[[[[]]]]]]]]'], ['[[]]]]]]]][]'], ['[][[]]]]]][]][[][[[[[[]]][[[[[[]]]]]]]]'], ['[[[[[][]]]]][]'], [']]]'], ['[[[[[[]]]]]][]][[[]][]]]][][]'], ['[[[[[[]]]][[[][]][[][][]]]]][]]][[][[]'], ['][]]][[]][]'], ['][][[][[[[[[[[[][]][][[]]]]]]]]][[][[]]]][[[[]]][[][]'], [']][[][[]]]][[[[[[][]]]]]]]][]][]]]][]['], ['][[[[[[]]]]]][]][[[]][]]]][][]]'], ['[[]]]]][[][[[[[[][]]]][]]]]]['], ['[[]]]]][[][[]]]][[['], ['][]][[][[[[[[[[[][]][[[]]]]]]]]][[][[]]]][[[[]]][][]'], ['][[]['], [']][[][[]]]]][[[[[[][]]]]][][]]]][]['], ['[[]]]]][][[['], ['][]][[[][]]]]]][[][[]]]][[[[[[][]]]]][][]]]][][[[[[][]]]]]][]'], [']]][[][[]'], ['[]]]]][]'], ['[[[[[[]]]]][]]'], ['[[[[][]]]][][[[[[[]]]]]]][[][[]]]][[[[[[][]]]]][][]]]][][[[[][[[]][]]][[][[]]]]['], ['[[[[]]]]]][][][][[[[]]]]][[][][[][[]]]][]]]]]]][]'], ['[[[[][]]]][][[[[[[]]]]]]][[][[[[[[[][][][[[]]]]][[[][]][[][][]]]]][]]][[][[][]]]][[[[[[][]]]]][][]]]][][[[][[[]]]]][[][[]]]]['], ['[[]]]]][[][[][[[[][]]]][][[[[[[]]]]]]][[][[[[[[[][][][[[]]]]][[[][]][[][][]]]]][]]][[][[][]]]][[[[[[][]]]]][][]]]][][[[][[[]]]]][[][[]]]][]]]['], ['[[[[]]]]]][][][][[[[]]]]][[][][[][[]]]][[][[]['], ['[[]]]][[]][[[]]'], ['][][][][][][][]][[][]'], ['[[[]]]]]]]][][[[]]]]]][][][][[[[]]]]][[][][[][[]]]]][]][[[]][][[[]]['], ['][]][[[][]]]]]][[][[]]]][[[[[[]][]]]]][][]]]][][[[[[][]]]]]][]'], ['[[[]]]]]]]][][[[]]]]]][][][][[[[]]]]]][[][][[][[]]]]][]][[[]][][[[]]['], ['][][[][[[]]]]]]]][][[[[[[[[][]][][[]]]]]]]]][[][[]]]][[[[]]][[][]'], ['[][][][][]'], ['][][[][[[]]]]]]]]][][[[[[[[[][]][][[]]]]]]]]][[][[]]]][[[[]]][[][]'], ['[[[[]]]]]][][][[][[[[]]]]][[][][[[][[]]]][]]]]]]][]'], [']][[][][][][][[][][[]]]]['], ['[[[[]]]]]]][[[]]]][]][][]][[][]][]][[[[]]]]][]]]'], ['[[[[[[]]]]]][[][][]][[[]][]]]][][[]'], ['[[]]]][[[[[]'], ['[[[[]]][]'], ['[[[[]][[[]]]]'], ['[[]][[[]][][]]'], ['][[['], ['[[[[]]]][][][][[][]]][[[][]][[]]]'], ['[][[[[[[]]]][[]]]][][][[]]'], ['[[][]][[[[[]]]'], ['[[[[[[[[[[[[[]]]]]]]]]]]]]'], [']][[['], ['[[[[][[[[[]]]]'], ['[[[[[][[[[[]]]]'], ['[[]]]][[[[[[][[[[[][[[[[]]]]'], ['[[[[]][[[]]][]'], [']'], ['[[][[]]]][][][][[][]]][[[][]][[]]]'], ['[][]]]'], ['[][[[[[[]]]][[]]][[][]][[[[[]]]][][][[]]'], ['[[[][[]]]][][][][[][]]][[[][]][[]]][[[]][[[]]]]'], ['[][[[[[[]][][][[]]][[][]][[[[[]]]][][][[]]'], ['[[]]]][[[[[[]'], ['[[]]]][[[[[['], ['[[[['], ['[[[[[][[][[[]]]]'], ['[[][[]][[[[[]]]'], ['[[[[][[[[[[]]]]'], ['[[[[[[[[[[[[[]]]]]]]]]][[[[][[[[[[]]]]]]]'], ['[[[[]]]][][][][[][]][[[][[]]]][][][][[][]]][[[][]][[]]][[[]][[[]]]]][[[][]][[]]]'], ['[[[][[]]]][][][][[][]]][[[][]]][[]]][[[]][[[]]]]'], ['][['], ['[[[][]][[[[[]]]'], ['[[]][[[]][][[[][[]][[[[[]]]['], ['[[[[]]]][][][][[][]]][[[][]][[]]][[]]]][[[[[['], ['[[[][]][[[[][[[[[]]]][[[[[]]]'], ['[[[[][[[[]]]][][][][[][]]][[[][]][[]]]]]][][][][[][]]][[[][]][[]]][[]]]][[[[[['], ['[[]][[[[]][][]]'], ['[[]]][][[[[[[]][][][[]]][[][]][[[[[]]]][][][[]]][[[[[]'], ['][[[[[[]][[[]]][]'], ['[[[[[[[[[[[[[]]]]][[[]]]]]]][[[[][[[[[[]]]]]]]'], ['][][[][]][[[[[]]][['], ['[[[[[][[][[[]]][]'], ['[][[[[[[]][][][[]]][[][]][[[[[]]]][][][[][]][[[[[]]][[]]'], ['[[[[[][[[[[[][[][[[][]]][][[[]]]['], ['[[]]]][[[][[[[[[]'], ['][[[[[[]]][[[][[[]]][]'], ['[[][]][[[[[][]]'], [']][[[[[[]][[[]]][]'], ['][[[[]]]][][][][[][]]][[[][]][[]]]]'], ['[[]]][][[[[[[]][][][[]]][[][]][[[[[[][[[[]]]][][][][[][]]][[[][]][[]]]]]][][][][[][]]][[[][]][[]]][[]]]][[[[[[[[[]]]][][][[]]][[[[[]'], ['[[]]][[[[[[[[[[[[[]][[]][[[]][][[[][[]][[[[[]]][[[[[]]]]]]]'], ['[[[[][[[[]]]][][][][[][]]][[[][][[]]]][[[][[[[[[]][[]]]]]][][][][[][]]][[[][]][[]]][[]]]][[[[[['], ['[[[[[][[[[[[][[][[[][]][[[[]]]][][][][[][]][[]]][[[][[]]]][][][][[][]]][[[][]][[]]][[[]][[[]]]]][[[][]][[]]]][][[[]]]['], ['[[[[]]][][[[[]][[[]]][]'], ['[[[[[[[]][[[[[[[[[[[[[]]]]][[[]]]]]]][[[[][[[[[[]]]]]]]][][[]]]]]]]]]]]]]'], ['[][[[[[[]]][][][[]]][[][]][[[[[]]]][][][[][]][[[[[]]][[]]'], ['[[]][[[[]][[]]][][[[[[[]][][][[]]][[][]][[[[[]]]][][][[]]][[[[[][][]]'], [']][[[['], ['[[]][][[]][][]]'], ['[[[[]]]][][][][[][]][[[][[]]]][][][][[][]]][[[][]][[]]][[[]][[[]]]][[]]]'], [']][[[[['], ['[[[[[[[]][[[[[[[[[[[[[]]]]][[[]]]]]]][[[[][[]]]]]]]][][[]]]]]]]]]]]]]'], ['][]][[['], 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['[[[]][[[]][][]][[[]]]][]][][][][[][]]][[[]][]][[[[[[]]][[][[[[][[[][]][][[][]][]]][[]][]][[[]][[[]][][]][[[]]]]][[][]][[[[[]]]][[[][][][][[][]]][[[][]][[]]]][[[[[[][]][[]]][]]]][]]'], [']][[[][[[[[]]][[][]][[[[[[[[][]][][[]][[[]]]][][[[[]][[[]]]][][[]][]]]][[[[[[][[[[][][[[]]]][[][]][[[[[]]][[['], ['[[[][]][][[][]]]][[][]][[[[[]][[[]][[[][[]]][[[][[]]]][[[[[[[]][[[]][][]][[[]]]][]][][][][[][]][]][[]]][]]]]]][][[[[]]]][[[]]]][][][[[[][]][][[][]]][[]]]][[[[[[[]][[[]][][]][[[]]]][]][][][][[][]]][[[]]][]][[]]][[[[][]][[]]][[][]][[]]][]'], ['[[[]]][[[[][[[[]]]][[[[[[][[[[]]][[[]]]]]]]][[[]]][[[[]'], ['[[[]][[[[[]][[[]]]]]][[]][][]][[[]]]][][][][][[][]]][[[]'], ['[[[[]][]][][[][]][][[[[]][]][[]]][][[[]][[[]]][][]][[[]]]][][[][][[][]]][[[][]]][[]]]]][[][]][[[[[[[][]][][[]][[[[[]][[[]]]][][[[[]][][[]]]][][[]]][[[[[[[]]][[][]][[][]][][[]][[[]]]][][[[[]][[[]]]][][[]][][]][[[[]'], ['[[]][[[[[[[][[[][][[[]][][]][[[]]]]][[][]][[[[[]]]][[[]][[]]]'], ['[[[[[]]][]]][][][]]][[]]]'], ['[][[[]]][[[]'], [']][[][][[[[[][[[][]]][][[][]]][[[][]][[]]]]][[][]][[[[[[[[][]][][[][]]][[[][]][[]]][]][][[[][[]][[]]]['], ['[[[]][[[]][][]][[[]]]]][][][][][[][]]][[[]][]][[]]]'], ['[[]]][[[]]]]]'], [']][[[][[[[[[]][]][][[][]][][[[[]][]][[]]][][[[]][[[]]][][]][[[]]]][][[][][[][]]][[[][]]][[]]]]][[][]][[[[[[[][]][][[]][[[[[]][[[]]]][][[[[]][[[]]]][][[]]][[[[[[[]]][[][]][[][]][][[]][[[]]]][][[[[]][[[]]]][][[]][][]][[[[][[]]][[['], ['[[][][[]]][[[]]][[[[[]]]'], ['[[[]][[[]][[[]]]][[[[[[][[[[[[]][[[]]]][[[[[[][[[[]][[[]]]][]][[[]]]][[][]][[[[[]]][[[[]]][][][[][]]][[[][]][[]]]'], ['[[[][[[[]][[[[][[[[]][[[]]]][[]]]]'], ['[[]]][[[]]]]][[]]]][[[[[[[]][[[]][][]][[[]]]][[]][][][][[][]][]][[]]]['], ['[[[]]][[][]][][[[[[[[[[[]]][[][]][[[[[[[[[[[[]]][[[[]]]]]][]]][[[]][][]][][[]]]][][][[[]]][[[]]]]][[]]]][[[[[[[]][[[]][][]][[[]]]][[]][][][][[][]][]][[]]][][[][]]][[[][][[[][]][][[][]][][][[][]][[]]][]][[]]][]][[[[[]]][][]][[]]][[]'], ['[[[[[[[[]]]][[[]]][[[]]][][]][[[]]]][][][]][[][]]][[[][]]][[]]]]'], ['[[][]][[[[[[]]][[[]][][]]][[[][[[]][][][[[][[]]]]]]]'], ['[[[]][[[[[[[]'], ['[[[[]]][[][]][[[[[[[[][]][][[][]]][[[][]][[]]]][[[]]]][[[[[[][[[[]][[[[]]]][[[[[[][[[[][[[[][]]][[[]][[[]]]][[[[[[]]]]][]'], ['[[[]]][[[][]]][[]]][[[[]]'], ['[[[[[][[[]][][]]][]][][[]][[[][]][[]]]'], ['[[[]][[[]][][]][[[]]]][][][][][[][]]][[[]]][]][[]]]'], [']][[[]]][[][]][][[]][[]][]][[]]][[[[][]][[]]][[][[['], ['[[]][[][][][[[[[[[[][]][][[][]]][[[][[]][][]][[[]][[[[]'], ['[[[]][[[][][[][]][][[[][]]][[[[]][[[]][][]][[[]]]][][][][][[][]]][[[][]]]'], ['[[[]][[[]][][]][[[]]]][][][][[][]]][[[][[[[][[[][]][][[][]]][[[][]][[]]]]][[[[][[[]][[[]][][]][[[]]]][][]][[]][]]][[[[[[[]]][[[][][][[][]]][[[[][]][[]]]][[[]][][]][][]][[[[]]][[][[[[][]]]][]]'], [']]][[][]][[[[[]]][[['], ['[[[[]]][[][]][[[[[[[[][]][][[][]]][[[][]][[]]]][[[]]]][[[[[[][[[[]][[[[]]]][[[[[[][[[]][]][][[][]][][[[]][]][[]]][][[[]][[[]]][][]][[[]]]][][[][][[][]]][[[][]]][[]]][[[[]][[[]]]][[[[[[]]][[[[]]]]][]'], ['[[[]][[[]]]]][[[[[[][[[[]][[[][][[[[[][]][[[[]]]]]'], ['[[[]][[[[]]][[]]][[][]][[[[[]]][[[]][[[[]][[[[[[[[[[[[]]][[[[]]]]][][[][[]]]][[[]][][]][[[]]]]][[][]][[[[[]]][[[][][[[[][]]][[[][[[[[[]]]][[]]]][[][[[]][[[]][][]][[[][[]]]][[[[[]][][[]]]][][][[]]]]]][]][[[[[[[[][]][][[][]]][[[][]][[]]][[]][][]][][]][[[[[[]]][][[][]]][[[][]][[]]]][][[][]]][[[][]][[]]]'], ['[[]]][[[[[[][[[[][[[]]][]]][[]]]]'], ['[[[][]][][[][]]]][[][]][[[[[]][[[]][[[][[]]][[[][[]]]][[[[[[[]][[[]][][]][[[]]]][]][][][][[][]][]][[]]][]]]]]][][[[[]]]][[[]]]][][][[[[][]][][[[][]]][[]]]][[[[[[[]][[[]][][]][[[]]]][]][][][][[][]]][[[]]][]][[]]][[[[][]][[]]][[][]][[]]][]'], ['[[[]][]][][[][]][][[[]][]][[]]]][][[[]][[[]]][][]][[[]]]][][][][[][]]][[[][]]][[]]]'], ['[[][]][[[]]][[][]][[[[[[[]]][[[]][[][[[[[[]][[[]]][[[[[[][[[[]][[[]]]][[[[[[]]]'], ['[[[[]]][[][]][[[[[[[[][]][][[][]]][[[][]][[]]]][[[]][][[[[]][[[]]]][]'], ['[[[[]]][[][]][[[[[[[[[[[[]]][[[[[[[[[[[[[[]]][[[]]][[[]]][][]][[[]][[[]]]]][[[[]][]][][[][]][][[[]][]]][[]]][][[[]][[[]]][][]][[[]]]][][][][[][]]][[[][]]][[]]][[]][[[[[[[[[]]][[]]]][[[[[[[]][[[]][][]][[[]]]][]][][][][[][]][]][[]]][][][][]][[][]]][[[][]]][[]]]][]]][][[][]]]][[]]]]'], ['[[[]][[[]][][]][[[]]]]][][][][][[][]]][[[[[]]][][[[]][]][[]]]'], ['[[][]][[[[[[][]][[[]][][]][]]]'], ['][][[][]]][[[][]][[]]][['], ['[[]]][[[[[][]][[[[[[[[[][]][][[]]]][[[]]]][][][[[[][]][][[][]]][[][[[[[[]]]]][[]]]][[][]][[[[[[[[][]][][[][]]][[[][[]][][]][[[][]][[]]][[][]][[]]][]]]][[[]][][]]][]]]]]]]]]'], ['[[][]][[[[][[[[[[]]][]]]'], ['[[[]][[[]][][]][[[]]]][][][][[][]]][[[][[[[][[[][]][][[][]]][[[][]][[]]]]][[[[][[[]][[[]][][]][[[]]]][]][][[][]]][[[[][]][[]]]][[[]][][]][][]][[[[]]][[][[[[][]]]][]]'], ['[[[[[][]][][][]][]'], ['[[[]][[[][]][[[[[]]][[][][[][]]][[[][]]][[]]]'], ['[]][[][]][[[[[[[][]][][[]][[[[[]][[[]]]][][[[[]][][]][][[]][[[]]]][][[[[]][[[]]]][][[]][][]][[[[]'], ['[]][]][[][]][[[[[[[[][]][][[][]]][[[][[]][[]]][[][]]][[[[[[[][]][][[]][[[[[]][[[]]]][][[[[]][[[]]]][][[]]][[[[[[[]]][[][]][[[[[[[[[]][[[]]]][][[]][][]][[[[]'], ['[[]]]][[[[]][[][]][[[[[[[[[[]]]][[[[][]][][[][]]][[[][[]][[]]][[]'], ['[[[[]][[]][[]][]][[[[[[[]][[[[[[]]][[][]][[[[[[[[]]][[][[[[][[[][]][][[][]][]]][[]][]][[[]][[[]][][]][[[]]]]][[][]][[[[[]]]][[[][][][][[][]]][[[][]][[]]]][[[[[[][]][[]]][]]]][][]][[[]]]][][[[[]][[[[[[[[[]]][[[]]][[[]]][][]][[[]]]][[][][]][[][]]][[[][]]][[]]]][]][[[[]]][[][[[[][]][[[[]]][[][[[[]]]]][]]][]]][][]][][[[[][[[[]]]][][][][[][][]][[[][]][[]]][[]]][[[[]][][]][[[]]]][][][][[][]]][[[][]][[]]][]][[[[[]]]'], ['[[[[[][]][]][[][][][[[[[[[[][]][][[][]]][[[][[]][[]][]]]]'], ['[[[][]][][[][[][]]][[[[]][[][]]][[[[[[[][]][][[]][[[[[]][[[]]]][][[[[]][[[]]]][][[]][[][]][[[[[[]]][[[]][][]]][]]][[][[[[]]]][[[[[[][[[[]]][[[]]]]]]]][[[[[[[][]][[][]][[[[[[[][]][][[]][[[[[]][[[]]]][][[[[]][[[]]]][][[[]]][[[[[[[]]][[][]][[[[[[[[[]][[[]]]][][[]][][]][[[[]]][[][]][[[[[[[[[]][[[]]]][][[]][][]][[[[]][]][[]]]]][[][[[][]]][[]]][]'], ['[[[[]]][]][[]][[[[[]]]][][][][[][]]][[[][]][[[]][[[]]]][[[]]][[]]]]]][[[[[[[]]][[[[][]][[[[[]]][[[][[[]]]]'], ['[[][[[[[[]]]]][[]]]][[][]][[[[[[[[][]][][[][]]][[[][]][[]]][[]][][]][[[]][[[]][[[]]]][[[[[[][[[[[[]][[[]]]][[[[[[][[[[]][[[]]]][]][[[]]]][[][]][[[[[]]][[[[]]][][][[][]]][[[][]][[]]]'], ['[[[]][[[]][][]][[[[][][][[][]]][[[]][]][[]]]'], ['[[][]][[[[[[[][[[[[[]]]][[][]]][[][]][[[[[[[][]][][[][][[[[[[]]]][[]]][][][][][]][]]][[[][[]][][]][]]]'], ['[[[[]]][[[[[[[]]]][[[[]][[][]][[[[[[[[][]][][[][[[]][[[]]]][[[]]][]]][[[]]][[]]]']]
results = [True, False, False, False, True, False, True, False, False, True, True, False, False, False, True, True, False, False, False, True, True, True, False, True, False, False, True, True, False, True, True, True, True, True, True, True, False, False, False, True, True, True, True, True, False, True, False, False, False, True, False, True, True, True, True, False, False, True, True, True, False, True, True, True, True, True, False, True, True, False, False, True, True, True, True, False, True, True, True, True, False, True, True, True, True, True, True, True, True, True, False, True, True, True, False, False, True, True, True, True, True, True, True, False, True, True, True, True, False, True, True, True, True, True, True, True, True, True, False, True, True, True, True, False, True, True, True, True, False, True, False, True, True, True, True, True, False, True, True, True, True, True, True, False, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, False, True, True, False, True, False, True, False, True, True, True, True, True, True, True, True, True, True, False, True, True, True, True, True, True, True, False, True, True, True, True, True, True, True, True, False, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, False, True, True, True, True, True, True, True, True, True, True, True, False, True, True, True, True, True, True, True, True, True, True, True, False, True, True, True, True, False, True, False, True, True, True, True, True, True, True, True, True, False, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, False, False, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, False, True, True, True, True, False, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, False, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, False, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, False, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, False, True, True, True, True, True, True, True, True, True, False, True, True, True, True, True, True, True, True, True, True, True, True, True, True, False, True, True, True, True, False, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, False, False, True, True, True, True, True, True, True, True, True, True, True, False, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, False, True, True, True, True, True, False, False, False, False, False, False, False, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True, True]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(is_nested)
print('___SENTINEL___')
| b78fbb43084d5c9cdaa3902040a4372b |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-4
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-04, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [['[[]]'], ['[]]]]]]][[[[[]'], ['[][]'], ['[]'], ['[[][]]'], ['[[]][[']]
results = [True, False, False, False, True, True]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(is_nested)
print('___SENTINEL___')
| 61ddefba04347fd3083a855d07082684 |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-6
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-07, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[[1, 2, 3]], [[1.0, 2, 3]], [[1, 3, 5, 7]], [[1.4, 4.2, 0]], [[-2.4, 1, 1]], [[100, 1, 15, 2]], [[10000, 10000]], [[-1.4, 4.6, 6.3]], [[-1.4, 17.9, 18.9, 19.9]], [[0]], [[-1]], [[-1, 1, 0]], [[-3, 4, 5, 6, 7]], [[2, 3, 4, -5]], [[0, 3.3, 7.7, -2.2]], [[10, 20, 30, 40]], [[1, 2, 3, 4, 5, 6, 7, 8, 9, 10]], [[0, 0, 0]], [[-1, -2, -3]], [[1.1, 2.5, 3.7]], [[-2.9, -2.5, -1.1]], [[0.1, 0.5, 0.9]], [[2, 3, 2, 4, -5]], [[1.1, 2.535790961084111, 3.7]], [[1.1, 2.5, 3.7, 1.1]], [[0.5, 0.9]], [[1, 2, 0, 4, 5, 6, 7, 8, 9, 10]], [[3, 4, -5]], [[0.1, 0.5, 0.9, 0.5]], [[-2.9, -2.5]], [[10, 20, 30, 40, 10]], [[-2.9, -2.5, -1.1, -1.1]], [[10, 3, 10, 2, 4, -5, 4]], [[1, 2, 0, 6, 5, 6, 7, 8, 9, 10]], [[2, 3, 2, 9, 4, -5]], [[2, 3, 2, 4, -5, -5]], [[1, 2, 0, 6, 5, 7, 8, 9, 10]], [[1.3807739357525621, 0.5, 0.9]], [[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 2]], [[-1, -2, -3, -1, -1]], [[10, 3, 10, 2, 4, -5, 4, 4]], [[0.5, 3.3, 0.5651200929607817]], [[1.1964179356010927, 2.5, 3.7, 1.1]], [[1.3807739357525621, 0.5, 0.9, 0.5]], [[30, 10, 20, 30, 40, 10]], [[-3, 4, 5, 6, 7, 4]], [[1, 2, 0, 5, 6, 7, 8, 9, 10]], [[-5, 20, 30, 40, 10, 10]], [[0, -2, -2]], [[2, 3, 4]], [[-0.0395412918863951, 1.3807739357525621, 0.5, 0.5]], [[0, 0, 0, 0]], [[-1, -2, 30, -1]], [[-3, 8, 4, 5, 6, 7]], [[-5, 20, 30, 10, 10, 10, 10, 10]], [[1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 10]], [[-5, 20, 30, 9, 10, 10, 10, 10, 10]], [[1, 2, 0, 6, 5, 6, 7, 8, 9, 10, 6]], [[2, 4, -5]], [[-2, 30, 10, 20, 30, 40, 10]], [[1.1, 2.535790961084111, 3.7, 1.1]], [[1.3807739357525621, 0.5, 0.9, 0.5, 0.9]], [[-2, 30, -1]], [[40, -2, -2, 30, -1, 30, -1]], [[40, -2, -2, 30, -1, -3, -1]], [[-2.5, -1.1, -1.1]], [[40, -2, -2, 30, -1, 30, -1, -2]], [[2, 3, 2, 4, -5, -5, 2]], [[1, 4, 2, 0, 6, 5, 7, 8, 9, 10]], [[0, -2]], [[-2, 4, 5, 5, 6, 7, 5]], [[10, 20, 30, 7, 10]], [[-3, 8, 4, 5, 7, 6, 7]], [[1.3807739357525621, 0.5, 0.9, 3.3, 0.5, 0.5]], [[-1, -2, -3, -1, -1, -1]], [[-2.5, 0.5, 1.3122633441453049, -1.1, -1.820012478772272, -1.1, -2.5]], [[-2.5, -1.1]], [[1.1964179356010927, 2.5, 3.7, 1.1, 2.5]], [[2, 4, 2, 4, -5, -4, 2]], [[2.535790961084111, -0.0395412918863951, 2.535790961084111]], [[1, 2, 0, 10, 5, 6, 7, 8, 9, 10, 8, 10]], [[-4, 2, 4, -5, 2]], [[1.1964179356010927]], [[-4, 4, 2, 4, -5, -4, 2]], [[-2, -2, 30, -1, -1]], [[0, -2, -1]], [[1, 4, 2, 0, 6, 5, 7, 8, 9, 10, 7]], [[40, -2, -2, 30, 5, 30, -1, -2]], [[1, 4, -5]], [[4]], [[4, -3, 8, 4, 5, 7, 6, 7, 6]], [[-3, 8, 4, 5, 6, 7, 4]], [[10, 20, 30, 40, 10, 40]], [[1.3807739357525621, 0.13158576006729072, 0.9]], [[10, 9, 20, 30, 7, 10]], [[2, 3, 1, -5, 2, 4, -5]], [[2, 3, 2, -5, 4, -5, -5, 2]], [[1, 4, 2, 0, 6, 1, 5, 7, 8, 9, 10, 7]], [[10, 20, 30, 4, 10, 40]], [[-2.9, -1.1]], [[2, 0, 1, -5, 2, 4, -5]], [[2, 3, -5, -5]], [[-2, -2, 30, -1, -3, -1]], [[0, 0, 6, 0]], [[0, 0, 6, 5, 0]], [[-5, 9, 20, 30, 10, 10, 10, 10]], [[10, 4, 3, 10, 2, 4, -5, 4]], [[1.3807739357525621, 0.5, 0.5]], [[-1, 40, -2, -3, -1, -1]], [[-3, -5, 4, 5, 6, 7]], [[-5, 20, 30, 8, 10, 10, 10, 10]], [[1, 2, 0, 5, 6, 7, 8, 9, 10, 9]], [[1, 2, 3.4, -4.6, 5.1, 6]], [[1.1, 2.5, -3.7, -4.6, 5.2, 6]], [[-1.1, 2.5, -3.7, 4.6, 5.1, 6]], [[1, 2, -3.4, -4.6, -5.1, -6]], [[1.1, 2.5, -3.7, -4.6, -5.2, -6]], [[3.14, -8.09, 2.71, 0.69, 1.62, -9.99, 6.28, -14.04]], [[0.1, 1.5, 2.9, 3.2, 4.6, 5.1, 6.7]], [[0, 0.5, 1, 1.5, 2, 2.5, 3, 3.5, 4, 4.5, 5, 5.5, 6]], [[-5, -4.5, -4, -3.5, -3, -2.5, -2, -1.5, -1, -0.5, 0, 0.5, 1, 1.5, 2, 2.5, 3, 3.5, 4, 4.5, 5]], [[2.4, 4.2, 0, -1.5, -2.7, 3.6, 7.1, -6.5]], [[0.1, 1.5, 2.9, 3.2, 4.234081562814888, 6.851261387881998, 6.7]], [[1.1, 2.5, -3.7, -4.6, -2.8396588982482287, 5.2, 6]], [[1, 4, 3.4, 5.1, 6]], [[1.1, 2.5, -3.7, -4.716809497407311, 5, 5.2, 6]], [[-6, 1, 2, -3.4, -4.6, -5.1, -6]], [[0.1, 2.71, 3.2, 4.6, 5.1, 6.7, 6.7]], [[1, 2, -3.4, -5.1, -6]], [[0.1, 1.5, 2.9, 2.4936669865395658, 4.234081562814888, 6.851261387881998, 6.7]], [[1.1, 2.5, -3.7, -4.716809497407311, 5, -6.5, 6]], [[1.1, 2.5, -3.7, -4.716809497407311, 5, -6.5, 6, 1.1]], [[4.5, 0.1, 1.5, 2.9, 3.2, 4.234081562814888, 6.851261387881998, 6.7]], [[0.1, 1.5, -4.716809497407311, 2.9, 3.2, 4.967726321372912, 4.6, 5.1, 6.7]], [[1.1, 2.5, -3.7, 4.234081562814888, 5, -4.716809497407311, 5, -6.5, 7, 1.1]], [[1, 4, 3.4, 6]], [[1.1, 2.5, -3.7, -5.2, -6]], [[0.1, 1.5, 2.9, 2.4936669865395658, 4.234081562814888, 6.851261387881998, 8.527593815012729, 6.7, 4.234081562814888, 1.5]], [[6.28, 1.566848906209739, -3.7, 4.6, 5.1, 6]], [[0.1, 1.5, 1.1, 3.2, 4.234081562814888, 6.851261387881998, 6.7]], [[1, 2, 3.4, -4.6, 5.1, 6, 6]], [[0.1, 1.5, 2.9, 3.2, 4.234081562814888, 3.729477873601854, 6.7]], [[0.1, 5.5, 2.71, 3.2, 4.6, 5.1, 6.7, 6.7]], [[0.1, 1.5, -2.8396588982482287, 2.4936669865395658, 4.234081562814888, 6.851261387881998, 6.7]], [[1.1, 2.5, -3.7, -4.716809497407311, -6.5, 6, 1.1]], [[1.1, 2.5, -3.7, -4.6, -4.141299863600741, -6]], [[0.1, 5.5, 2.71, 3.2, 4.6, 5.1, 6.7, 6.7, 2.71]], [[1, -5, 2, -3.4, -2.7, -3.2596671445918055, -6]], [[0.1, 1.5, 3.890157601890744, 3.2, 4.6, 5.1, 6.7]], [[-1.1, 2.5, -3.7, 4.6, 5.1, 6, 5.1, 6]], [[0.1, 5.5, 6.851261387881998, 3.2, 4.6, 2.4936669865395658, 5.1, 6.7, 6.7]], [[1, 4, 3.4, 5.1]], [[1.1, 2.5, -3.7, -4.6, -4.276874536373084, -5.2, -9.99, -6]], [[3.14, -8.09, 2.71, 0.69, 1.62, -9.99, 6.28]], [[2, 4, 3.4, 5.1, 6]], [[0.1, 1.5, 2.9, 3.2, 4.6, 5.1, 3.890157601890744]], [[1.1, 2.5, -4.6, 5.2, 6, 5.2]], [[1.1, 2.5, -3.7, 4.234081562814888, 5, -4.716809497407311, 5, -6.5, 1.1]], [[0.1, 2.230942080154173, 1.5, 2.9, 2.4936669865395658, 4.234081562814888, 6.851261387881998, 6.7]], [[1, -5, 2, -3.4, -2.7, -3.2596671445918055, 0, -6]], [[0.052289320520992534, 0.1, 1.5, 3.890157601890744, 3.2, 4.6, 5.1, 6.7]], [[0.1, 1.5, -4.716809497407311, 2.9, 2.9915540201886883, 4.967726321372912, 4.6, 5.1, 6.7]], [[0.1, 1.5, 2.9, 2.4936669865395658, 4.234081562814888, 6.851261387881998, 6.7, 6.7]], [[1.1, 2.5, -3.7, 4.234081562814888, 5, -4.716809497407311, 5, -6.5, 1.1, 1.1]], [[-5, -4.5, -4, -3.5, -3, -2.5, -2, -1.5, -1, -0.5, 0, 0.5, 1, 1.5, 2, 2.5, 3, 3.5, 4, 4.5, 5, 3.5]], [[0.1, 5.5, -3.7, 3.2, 4.6, 5.1, 6.7, 6.7]], [[0.1, 1.5, 1.1, 3.2, 4.234081562814888, 6.851261387881998, 6.7, 4.234081562814888]], [[1.5, 2.9, 2.4936669865395658, 4.234081562814888, 6.851261387881998, 8.527593815012729, 6.7, 4.234081562814888, 1.5, 2.4936669865395658]], [[1.5, 2.9, 2.4936669865395658, 4.234081562814888, 6.851261387881998, 8.527593815012729, 6.7, 7.1, 1.5, 2.4936669865395658]], [[-1.1, 2.5, -3.7, -4.6, -2.8396588982482287, 5.2, 6]], [[1, 2, -3.4, -4.6, -6, -5.1, -6, -4.6, -4.6]], [[-5, -4.5, -4, -3.5, -3, -2.5, -2, -1.5, -1, -0.5, 0, 0.5, 1, 1.5, 2, 2.5, 3, 3.5, 4, 4.5, 5, 0, 1]], [[1.1, 2.5, 2.4, -5.2, -6]], [[0.1, 1.5, 2.9, 2.4936669865395658, 4.234081562814888, 6.851261387881998, 6.7, 7.4145549533273405, 6.7]], [[6.28, -5.1, 1.566848906209739, -3.7, 4.6, 5.1, 6]], [[0.1, 1.5, -4.716809497407311, 2.9, 4.129563514953585, 4.967726321372912, 4.6, 5.1, 6.7, 4.6]], [[0.1, -8.09, -4.716809497407311, 2.9, 4.129563514953585, 4.967726321372912, 4.6, 5.1, 6.7, 4.6]], [[-6, 1, 2, -4.6, -5.1, -6]], [[0.1, 1.5, 2.9, 4.234081562814888, 6.851261387881998, 6.7, 2.9]], [[0.1, 1.5, 1.1, 3.0179751175777536, 4.234081562814888, 6.851261387881998, 6.7, 4.234081562814888, 4.234081562814888, 6.7]], [[4.164996313633066, 1, 4, 3.4, 5.1, 6, 3.4, 4]], [[0.061283494508126014, 1.5, 1.1, 3.2, 4.234081562814888, 6.851261387881998, 8.634480834505068, 6.7, 4.234081562814888]], [[0.1, 1.5, 2.9, 3.975992715202202, 6.851261387881998, 6.7, 2.9, 2.9]], [[-0.6763327164350088, 2.5, -3.7, -4.6, -2.8396588982482287, 6]], [[4.234081562814888, 0.1, 5.5, -3.7, 3.2, 4.6, 5.1, 6.7, 6.7, 6.7]], [[0.1, 1.5, 1.1, 3.2, 4.234081562814888, 6.851261387881998, 3.975992715202202, 4.6]], [[1.5, 2.9, 2.4936669865395658, 4.234081562814888, 6.851261387881998, 8.527593815012729, 6.7, 2.230942080154173, 4.234081562814888, 1.5, 2.4936669865395658]], [[0.061283494508126014, 2.5, -3.7, 4.6, 5.1, 6]], [[0.1, 1.5, 2.9, 3.499530218204873, 3.975992715202202, 6.851261387881998, 6.7, 2.9, 2.9]], [[0.1, -8.09, -4.716809497407311, 2.9, 4.129563514953585, 4.967726321372912, 3.499530218204873, 5.1, 6.7, 4.6]], [[0.1, 1.5, 2.9, 3.499530218204873, 1.275713502619218, 3.975992715202202, 6.851261387881998, 6.7, 2.9, 2.9]], [[1.5, 2.9, 2.4936669865395658, 4.234081562814888, 6.851261387881998, 8.527593815012729, 6.7, 2.230942080154173, 4.234081562814888, 1.5, 2.4936669865395658, 4.234081562814888]], [[8.634480834505068, 1, -5, 2, -3.4, -3.2512040012099304, -3.2596671445918055, -6, -3.2512040012099304]], [[1, 2, 3.4, -4.6, 5.1, 6, 6, 6]], [[0.1, 5.5, 2.71, 3.2, 4.6, 5.1, 9.283640269180903, 6.7]], [[2.4, 4.2, 0, -1.5, -2.5091429749847305, 3.6, 7.1, -6.5]], [[-1.1, -3.7, -4.6, -2.8396588982482287, 5.2, 6]], [[-1.5, -3.7, 4.6, 5.1, -1.5, 6]], [[-1.1, 2.5, -3.7, 4.6, 5.147008615293544, 6, 5.1, 6]], [[1.5, 2.9, 2.4936669865395658, 4.234081562814888, 6.851261387881998, 3.975992715202202, 6.7, 2.230942080154173, 4.234081562814888, 1.5, 2.4936669865395658, 4.234081562814888]], [[2, -3.4, -4.6, -6, -5.1, -6, -4.6, -4.6]], [[-1.1, -3.7, -4.6, -2.8396588982482287, 5.2, 6, -4.6]], [[-3.2596671445918055, 0.1, 1.5, 2.9, 2.4936669865395658, 4.234081562814888, 6.851261387881998, 6.7, 7.4145549533273405, 6.7]], [[4.5, 2.034150193392351, 0.1, 1.5, 2.9, 3.2, 4.234081562814888, 3.499530218204873, 6.7]], [[1, 1, 2, -3.4, 9.283640269180903, -3.2596671445918055, -6]], [[4, 3.4, 5.1, 6, 2]], [[1, 2, -3.4, -4.6, -5.1, -6, 2]], [[1.1, 2.5, -3.7, -4.6, 6]], [[4.5, 0.3244010923433097, 1.5, 2.9, 3.2, 4.234081562814888, 6.851261387881998, 6.7]], [[-1.1, 2.5, -3.7, 4.6, 5.147008615293544, 6, 5.1, 6, 2.5]], [[4, 3.4, 4.129563514953585, 6, 2]], [[2, -3.4, -4.6, -5.1, -6]], [[2, -3.4, -4.6, -6, 3, -5.1, -6, -4.6, -4.6]], [[1.1, 2.5, -3.7, -4.6, 5.2, 6, 1.1]], [[0.1, -14.04, 5.5, 2.71, 3.2, 4.6, 5.1, 9.283640269180903, 6.7]], [[1, -5, 2, -3.4, -2.7, -3.2596671445918055, 0, -6, 2, 2]], [[1, -3, 2, -3.4, -4.6, 0, -5.1, -6, 2]], [[2.5, -3.7, 4.234081562814888, -4.716809497407311, 5, -6.5, 1.1]], [[-1.1, -3.7, 2.034150193392351, -4.6, -2.8396588982482287, 5.2, 6]], [[1.1, 2.5, -3.7, -4.6, -4, -5.2, -4.09005682631597, -6]], [[-5, -4.5, -4, -3.5, -3, -2.5, -2, -1.5, -1, -0.5, 0, 0.5, 1, 1.5, 2, 2.5, 1, 3.5, 4, 4.5, 5, -2.5, 2.5]], [[-1.1, 3.4, 2.034150193392351, -4.6, -2.8396588982482287, 5.2]], [[-1.1, 2.5, -3.7, 4.6, 5.147008615293544, 5.1, 6]], [[3, 3.4, 4.129563514953585, 6, 2]], [[2, -3.4, -6.773948579844583, -6, -5.1, -6, -4.6, -2.98440779706064, -6.773948579844583]], [[0.1, -8.09, -4.716809497407311, 2.9, 4.129563514953585, 4.967726321372912, 3.499530218204873, 5.1, 4.6]], [[3.14, -8.09, 2.71, 0.69, 1.62, -9.99, 6.28, 1.62, -8.09]], [[4.234081562814888, 0.1, 5.5, -3.7, 3.2, 4.6, 5.1, 6.7, 6.7, 6.7, 5.5]], [[0.1, 1.5, 1.1, 3.2, 4.234081562814888, 6.851261387881998, 6.7, 3.2]], [[1.1, 2.5, -3.7, 5, -6.5, 6, 1.1]], [[1, -4, -3.4, -4.6, -5.1, -6]], [[3.14, 2.71, 0.69, 1.62, -9.99, 3.5, -14.04]], [[1, 4, 3.4, 5.1, 3.4]], [[0.061283494508126014, 1.5, 1.1, 3.2, 6.851261387881998, 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-3.071142782022182, -3.7, -4.5, 5.2, 6, -4.6, -4.56071541305902, 2.5, 6.7, -4.6, -4.56071541305902]], [[2.4, 4.2, 2.273475836168904, -1.5, 2.546264498725473, -2.6419541777974347, 3.6, -0.6100297458611561]], [[-5, -4.5, -4, -3.5, -3, -2.5, -1.5, -1, 5, -0.5, 0, 0.5, 1, 1.5, 2, 2.5, 3, -4, 4.5, 5, -0.5, 4.5]], [[1.1, 2.5, -3.7, -4.6, -5.2, -6, -4.673541451357892, -4.6, -3.5]], [[-1.1, 1.5831905408125861, 2.5, -3.7, 4.6]], [[-2.7, -1.4030222827046124, 5.1, 6, 6]], [[0.1, 2.4, -4.56071541305902, 4.264531624920706, 3.2, 2.2366791542480873, 2.273475836168904, 4.6, 6.7, 6.7]], [[3.14, -8.09, 2.71, 0.69, 1.62, -9.721676958355848, 1.163099159985125, 6.28, -14.04]], [[-5, -4.5, -4, 5.1019079087963215, -3.5, -3, -1.5, 4.5, -1, -0.5, 5, 0, 0.5, -1.7075174220993832, 1, 1.5, 2, 3, 3.5, 4, 5, 2.8132736798649614]], [[-5, -4.5, -4, -3.5, -3, -2.5, -2, -1.5, -1, 5, -0.5, 0, 0.5, 1, 1.5, 2, 2.5, 3, -4, 5, -0.5, 4.5]], [[-3.4191045010192274, -5, -4.5, -4, 5.2, -3, -2.5, -2, -1.5, -1, -0.5, 0, 2, 0.5, 1, 1.5, 2, 2.5, 3, 3.5, 4, 4.5, 5]], [[-5, -4.5, -4, -3, -2.5, -2, -1.5, -1, 3.4904607835802204, 5, -0.5, 0, 0.5, 1, 1.5, 2.5, 3, 3.5, 4, 4.5, 5]], [[1.1, 2.5, -3.7, -0.5, -5.2, -6, 4.763901218015793]], [[1, 1, 2, 3.4, -4.6, 5.1, 6, 1, 1]], [[-8, 1, 2, -3.4, -4.6, 2.121057984229812, -5.1, 3.14, -6, -6, 1]], [[1.1, -4.949230056545978, 2.5, -2.894496233330983, 4.6, 6, -4.6]], [[3.14, -8.09, 0.3215624746733021, 2.71, 0.69, 1.62, -14.505612154397998, 6.28, -14.04]], [[0, 1, -2.4521274053810718, 2, 2.5, -6, 3, -3.5, 4, 5.097104505395701, -1, 4.5, 5, 5.5, 6, 2]], [[1.1, -3.7, -1.4030222827046124, -4.6, -5.2, 0, -6, -5.2, -5.2]], [[-5, 4, -1, -4.5, -4, -3.5, -3, -8, -2.5, -2, -1.5, -1, -0.5, 0, 0.5, 1, -3.8477823477077773, 2, 2.5, 3, 3.5, 4, 6.6775046302601595, -5]], [[-2, 2, 6.28, -4.6, 5.1, 2, 2]], [[0, 1, 1.5, 2, -6, 3, -3.5, 4, -1, 5, 5.5, 6, 2, 5.5]], [[-1.1, -5.1, 6.266841951443214, 4.6, 5.1, 6, -3.7, 4.6]], [[1, 1.5, 2, 2.5, -6, 3, -3.5, 4, -1, 5, 5.5, 6, 2, 7, 4]], [[-1.1, 2.5, 4.6, 2.5, 4.6]], [[-1, -7, 1.5, 2, 2.5, -6, 3, -3.5, 4, 4.5, 5, 5.5, -0.5, 6, 2]], [[-1.1, 1.4422096460861824, 5.2, 3.1842930235177858, -3.7, 4.6, 5.1, -1.1]], [[1.5, -2.8445641444531704, 2.9, 3.2, 4.6, -4.344536610349558, 5.1, 6.7]], [[-9.99, 2.5, -4.6, 6, 1.1, 1.1, 1.1]], [[0, 1, 1.5, 2, 2.5, -6, 3, -3.0296477623825755, 4, 4.5, 1, 5, 5.5, 6, 2, 2]], [[1.1, 5.715004335425014, 2.5, 5.1, -3.7, 6, 1.6493522291861098]], [[-2.7, -3.7, 4.6, -1.4030222827046124, 5.1, -1.84062214755369]], [[0.1, 1.5, 2.307038896064827, 2.2366791542480873, 2.273475836168904, 4.6, 5.1, 6.7]], [[6, 2, -6, -3.4, -4.6, -5.1, -6]], [[-5, 4, -4.5, -4, -3.5, -3, -6, -2.5, -2, -1.5, -1, -0.5, 0, 0.5, 1, 2.1708877608703743, 2, 2.5, 3, 4, 6.6775046302601595, 2]], [[1, 1, 5, 3.4, -4.6, 5.1, 6, 1, 2]], [[3.6, -2.7, -3.7, 4.6, -4, -1.4030222827046124, 2.749995677486564, 6, 6, -1.4319704534945266]], [[1, 2, 0, 3.4, 2.546264498725473, 4.763901218015793, 6, 2, 2]], [[3, 3.4, -4.6, 5.1, 3.8069780653403997, 6]], [[1, 2, 7, 3.4, -4.6, 1.7612406893234727, 6, 6]], [[2.4, 4.2, 0, -1.5, -2.7, 3.6, 6.28, 6.28]], [[2.4, 4.2, 0, 2.273475836168904, -1.5, 4.445695355838067, -2.7, -0.6100297458611561, 4.445695355838067]], [[1, 2, 2, 0, 3.4, -4.6, 5.1, 6, -3, 2, 2, 2]], [[-2.7, -4.04983483792288, 6.9922715006859315, -1.4319704534945266, 6, -1.4319704534945266]], [[-5, 1, 2, -6, -6, -3.4, -4.6, -6]], [[-7, 2, -3.4, -7.378009948706506, -4.6, -5.1, -2.4521274053810718, -6, -6]], [[1.1, 2.5, -4.6, 6.9922715006859315, 1.817939135685336, -5.2, -2, -4.6, -6]], [[-5.1, 6.266841951443214, 4.6, 5.1, 6, -3.7, 4.6]], [[-5, -4.5, -4, -3.5, -3, -2.5, -1.5, -1, 6, -0.5, 0, 0.5, 1, 1.5, 2, 2.5, 3, -4, 4.5, 5, -0.5, 4.5]], [[-5, -4.5, -4, 5.2, -3, -2.5, -2, -1.5, -1, -0.5, 0, 2, 0.5, 1, 1.5, -2, 2.5, 3, 3.5, 4, 4.5, 5, 2]], [[-5, 4, -6, -1, -4.5, -4, -8, -3.5, -3, -6, -2.5, -2, -1.5, -1, -0.5, 0, 0.5, 1, 2.1708877608703743, 2, 2.5, 3, 3.5, 4, 6.6775046302601595, -5]], [[2.4, 5.2, 4.2, 0, -1.4180889952675366, -2.7, 3.6, 0.1, 3.4904607835802204, 7.1]], [[-9.99, 2.5, 5.2, 6, 1.1]], [[-7, 1, 2, -3.4, -7.378009948706506, -4.6, -5.1, -2.4521274053810718, -7, -6]], [[1.62, 2.5, 3.5, 1.9833613278429287, -3.7, -4.949230056545978, 5.1, 6, 5.1019079087963215]], [[-1.1, -2.7, -3.7, 4.6, -1.4030222827046124, 5.1, 6, -1.4030222827046124]], [[1.1, -3.7, -4.6, -5.2, -4.673541451357892, -4.6, -3.5]], [[0, 1, 1.5, 2, 2.5, -6, 3, -3.5, 4, 4.5, 5, 5.5, 6, 1.4422096460861824, 2, 2]], [[1.1, 2.5, -3.7, -0.5, -6]], [[1.1, 2.5, -3.7, 2.749995677486564, -1.4030222827046124, -4.6, 0.8223279570020958, -5.2, 0, -6, 0.8223279570020958]], [[-5, -4.5, -4, -3.5, -3, -2.5, -2, -1.5, -1, -0.5, 0, 0.5, 1, 2.1708877608703743, 2, 2.5, 3, 3.5, 6.6775046302601595, 2]], [[0, 1, 1.5, 2, 2.5, -6, 3, -3.5, 4, 4.5, 5, 6.781023380124337, 6, 2, 4]], [[-1.1, 2.5, -3.7, 4.6, 5.1, 6, 1.62]], [[2.4, 4.2, -2, 2.273475836168904, -1.5, -2.7, 4.511943821816748]], [[2.5, -3.7, 5.2, 6, 2.5]], [[6.7, 2.5, -3.7]], [[1.1, 2.5, -3.7, -4.6, -5.2, 2.3547386137496993, 4.511943821816748, 0, -6]], [[-1.1, 1.62, 3.5, -3.7, 4.6, 5.1, 3, 4.6, 1.62]], [[2.4, 4.2, -3.5, 0, -1.5, -2.7, 3.6, 7.1, -4.6, 2.4]], [[-1.1, 2.121057984229812, 0.8957346503262392, 2.5, 6.266841951443214, 4.6, 5.1, 5, 6.255431757016205, -1.1]], [[2.4, 4.2, 0, -1.4180889952675366, -2.7, 3.6, 7.1, 3.4904607835802204, 7.1, 0, 0]], [[0, 0.5, -1, 1.5, 2, 2.5, 5, 3.5, 4, 5.5, 1, 0, 6, 6.145489621506014, 4]], [[2.4, 4.2, 2.273475836168904, -1.5, 2.546264498725473, -2.6419541777974347, 3.6, 3.14, -0.6100297458611561]], [[2.4, 4.34685453735128, 0, -1.5, -2.7, 3.6, 6.28]], [[0, 0.5, 1.5, 2, 2.5, 3, 1.6493522291861098, 4, 4.5, 5, 5.5, 6, 1.5]], [[-1.1, 1.4422096460861824, 5.2, 3.1842930235177858, -3.7, 5.652668931909759, 4.6, 7.258417242145231, -1.1]], [[1, -2.34580378504941, 2, -6, -3.4, -4.6, -5.1, -6]], [[0, 0.5, -1, 1.5, 2, 2.5, 5, 3.5, 4, 5.5, 1, -2, 6, 6.145489621506014, 4]], [[0, 1, 1.5, 2, 2.5, -6, 3, -3.5, 4, -1, 4.5, 5, 5.5, 2, 0, 1.5, -6]]]
results = [14, 14, 84, 29, 6, 10230, 200000000, 75, 1086, 0, 1, 2, 135, 54, 84, 3000, 385, 0, 14, 29, 9, 3, 58, 29, 33, 2, 376, 50, 4, 8, 3100, 10, 270, 396, 139, 83, 360, 6, 389, 16, 286, 18, 33, 7, 4000, 151, 360, 3125, 8, 29, 6, 0, 906, 199, 1825, 394, 1906, 432, 45, 4004, 33, 8, 905, 3410, 2519, 6, 3414, 87, 376, 4, 180, 1549, 248, 24, 17, 16, 5, 42, 85, 18, 624, 65, 4, 97, 910, 5, 425, 3438, 42, 16, 300, 215, 4700, 6, 1630, 84, 112, 426, 3116, 5, 75, 63, 919, 36, 61, 1806, 286, 6, 1616, 160, 1789, 441, 109, 110, 116, 91, 99, 420, 140, 182, 195, 155, 153, 114, 105, 135, 127, 185, 75, 146, 135, 139, 178, 181, 202, 69, 83, 256, 159, 148, 145, 120, 221, 141, 114, 90, 230, 88, 147, 188, 270, 69, 196, 224, 108, 107, 137, 153, 155, 88, 148, 174, 195, 157, 211, 221, 173, 264, 303, 111, 159, 196, 83, 259, 184, 215, 275, 118, 146, 247, 162, 254, 146, 74, 295, 140, 273, 116, 162, 266, 166, 298, 183, 181, 272, 155, 102, 108, 188, 233, 158, 118, 268, 154, 160, 108, 95, 74, 178, 197, 97, 90, 167, 114, 468, 96, 104, 124, 111, 131, 200, 82, 152, 90, 202, 217, 292, 331, 164, 123, 103, 323, 85, 278, 292, 177, 246, 168, 87, 251, 146, 136, 90, 172, 308, 240, 193, 98, 189, 68, 193, 149, 248, 84, 143, 211, 124, 119, 152, 244, 145, 110, 91, 112, 138, 142, 201, 213, 215, 263, 164, 292, 65, 130, 150, 275, 330, 314, 146, 79, 142, 151, 135, 276, 450, 109, 186, 155, 242, 403, 214, 124, 341, 120, 187, 378, 276, 112, 85, 254, 358, 198, 227, 187, 211, 157, 156, 400, 128, 285, 283, 99, 148, 153, 92, 76, 155, 147, 121, 196, 174, 141, 310, 284, 206, 181, 149, 161, 134, 129, 207, 377, 56, 135, 84, 356, 240, 219, 115, 115, 240, 174, 180, 274, 262, 196, 315, 171, 119, 273, 276, 215, 314, 144, 164, 207, 160, 232, 292, 194, 177, 163, 141, 73, 127, 196, 177, 112, 117, 113, 177, 213, 194, 357, 141, 250, 184, 92, 159, 166, 163, 215, 128, 207, 173, 206, 231, 175, 38, 166, 104, 66, 283, 159, 184, 252, 88, 123, 107, 83, 152, 140, 93, 83, 267, 222, 133, 273, 242, 122, 185, 156, 279, 118, 119, 227, 144, 88, 241, 281, 128, 98, 215, 217, 94, 98, 116, 439, 116, 199, 245, 314, 66, 152, 90, 74, 168, 79, 363, 81, 151, 85, 232, 185, 277, 112, 203, 92, 198, 208, 212, 283, 139, 220, 203, 70, 319, 216, 83, 271, 131, 164, 203, 190, 182, 175, 224, 187, 193, 272, 40, 177, 117, 319, 162, 141, 176, 161, 170, 140, 324, 246, 155, 94, 250, 253, 176, 207, 202, 173, 129, 215, 199, 246, 97, 160, 119, 149, 171, 136, 153, 293, 77, 119, 456, 219, 94, 111, 121, 189, 168, 208, 267, 150, 137, 171, 177, 162, 223, 222, 242, 116, 171, 126, 121, 190, 171, 131, 102, 163, 161, 345, 177, 197, 210, 163, 191, 239, 167, 164, 303, 109, 149, 183, 189, 265, 120, 172, 138, 247, 103, 246, 217, 96, 187, 309, 120, 119, 247, 201, 222, 358, 132, 251, 144, 432, 132, 274, 173, 132, 157, 68, 113, 243, 223, 161, 275, 347, 180, 225, 129, 18747, 84, 3064, 278, 466, 92, 82, 109, 168, 134, 126, 156, 224, 148, 322, 125, 293, 105, 101, 234, 194, 422, 205, 174, 102, 292, 269, 79, 188, 94, 341, 436, 283, 349, 229, 317, 369, 3035, 162, 0, 126, 3, 0, 245, 69, 14, 6, 2, 218, 213, 214, 235, 120, 117, 179, 159, 95, 228, 80, 158, 114, 194, 104, 244, 127, 94, 91, 215, 203, 218, 191, 226, 198, 143, 420, 190, 112, 96, 167, 100, 135, 104, 87, 113, 195, 79, 175, 421, 181, 124, 121, 186, 75, 180, 111, 99, 60, 198, 137, 161, 129, 187, 190, 149, 158, 447, 199, 189, 59, 117, 108, 125, 77, 139, 168, 126, 84, 244, 180, 163, 269, 85, 207, 122, 85, 90, 218, 249, 176, 58, 79, 163, 186, 164, 95, 194, 87, 218, 152, 227, 456, 88, 83, 98, 168, 170, 196, 49, 147, 104, 109, 100, 207, 121, 110, 136, 198, 83, 85, 126, 199, 111, 55, 215, 188, 198, 244, 420, 251, 96, 76, 125, 263, 167, 100, 260, 140, 78, 107, 116, 143, 64, 82, 182, 257, 171, 182, 179, 68, 255, 193, 159, 132, 178, 180, 59, 90, 365, 214, 125, 64, 115, 86, 108, 115, 55, 100, 179, 68, 230, 472, 190, 165, 233, 177, 244, 77, 173, 230, 204, 146, 142, 208, 89, 73, 136, 88, 155, 125, 220, 168, 252, 144, 64, 223, 185, 107, 58, 183, 115, 74, 138, 110, 97, 190, 78, 223, 181, 149, 116, 99, 123, 133, 126, 62, 171, 162, 203, 165, 220, 212, 203, 100, 165, 179, 137, 56, 110, 158, 103, 77, 151, 277, 420, 181, 89, 74, 76, 156, 98, 86, 54, 107, 60, 198, 67, 240, 199, 103, 199, 170, 194, 141, 135, 248, 137, 239, 120, 82, 229, 277, 220, 178, 151, 186, 229, 179, 176, 166, 148, 151, 108, 265, 127, 113, 133, 111, 432, 188, 167, 44, 154, 110, 140, 252, 114, 166, 106, 155, 115, 119, 57, 115, 183, 35, 192, 215, 130, 544, 156, 135, 377, 137, 96, 140, 222, 51, 187, 224, 101, 232, 73, 225, 140, 48, 113, 208, 424, 249, 204, 235, 223, 108, 112, 217, 110, 536, 251, 141, 305, 117, 217, 206, 255, 69, 263, 128, 159, 154, 219, 134, 76, 142, 162, 239, 136, 153, 99, 129, 162, 153, 98, 134, 107, 163, 228, 163, 205, 236, 230, 377, 172, 166, 242, 166, 113, 95, 222, 58, 111, 187, 243, 120, 77, 99, 67, 133, 129, 153, 205, 199, 214, 89, 104, 173, 192, 131, 218, 219]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(sum_squares)
print('___SENTINEL___')
| 0f6fe14d0bea211a3e217fb452158624 |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-4
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-04, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[[1, 2, 3]], [[1, 4, 9]], [[1, 3, 5, 7]], [[1.4, 4.2, 0]], [[-2.4, 1, 1]]]
results = [14, 98, 84, 29, 6]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(sum_squares)
print('___SENTINEL___')
| 7f03e139b369dbbdbbac0f26d482de2e |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-6
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-07, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [['apple'], ['apple pi e'], ['eeeee'], ['A'], ['Pumpkin pie '], ['Pumpkin pie 1'], [''], ['eeeee e '], ['apple pie'], ['apple pi e '], ['Pumpkin pi e'], ['Pumpkin pie!'], ['pUMPKIN PIE'], ['!'], ['aaaaa A'], ['aaaaa 1'], ['12'], ['apple pie!'], ['blueberry muffin!'], ['cake?'], ['pUMPKPIE'], ['aaaaaa 1'], ['cake?blueberry muffin!'], ['pUMPKPIEPumpkin pi e'], ['?blueberry muffin!'], ['Pumpkin pie!cake?'], ['Pumpkin e!'], ['applel pUMPKPIEPumpkin pi epie!'], ['caake?'], ['c?blueberry muffin!ke?'], ['aaaaa aaaaa 1A'], ['aaaaaa A'], ['aaaaaa aaaaa 1A'], ['cake?blueberrymuffin!'], ['cake?blueberrymuffinc!'], ['ceberrymuffinc!'], ['pUMPK'], ['aaaaa aaaaaa 1A'], ['1Pumpkin pie!cake?2'], ['ceberrymu12ffinc!'], ['?blueberruy muffin!'], ['ceberrymuffinc!Pumpkin pie!cake?'], ['acake?'], ['aaaaa aaa'], ['1Pumpkin pie!cake?applel pUMPKPIEPumpkin pi epie!2'], ['aaaaa 1cake?'], ['cakel?blueberrymuffinc!'], ['aaaaaa aaaa 1A'], ['cblueberry muffin!'], ['cake?blueberrymuffina!'], ['caaaaaaaa aaaaa 1Ake?'], ['cake?blueberrymufufinc!'], ['aaaaaaaaaa Aa aaa'], ['bluebepUMPKIN PIErry muffin!'], ['ceberrymunc!Pumpekin pie!ecake?'], ['ccake?'], ['blueberry muf'], ['cakel?blueberarymuffinc!'], ['bluebepUMEPKIN PIErry muffin!'], ['i?blueberry muffin!'], ['Pblueberry mufumpkin e!'], ['cakel?blupUMPKPIEPumpkin pi eeberrymuffinc!'], ['aaaaaa aaaaa 1?blueberruy muffin!A'], ['Pumpkin piie!cake?'], ['ccakapple pie!e?'], ['aaaaa pUMPKPIEPumpkin pi eaaaaa 1A'], ['blueberry ceberrymuffinc!Pumpkin pie!cake?muf'], ['Peumpkine pie!cake?'], ['pUMPcake?blueberrymufufinc!KPIEPulmpkin pi e'], ['1Pumpkin pie!c ake?applel pUMPaaaaa aaaaa 1AKPIEPumpkin pi epie!2'], ['applel pUMPKPIEPumpkin pi epiie!'], ['aaaaaa aaaaaa 1A'], ['cbluebeerry muffin!'], ['bluebepn!'], ['pUcake?blueberry muffin!IE'], ['jpBTU'], ['apple p!ie!'], ['OPxQV'], ['ccakceberrymuffinc!Pumpkin pie!cake?apple pcakel?blueberrymuffinc!iie!e?'], ['acceberrymuffinc!Pumpkin pie!cake?ake?'], ['pPUMPK'], ['blueberry mceberrymuffinc!Pumpkin pie!cake?in!'], ['aaaaaaaaaaaaaa 1cake?a pUcake?blueberry muffin!IEAa aaa'], ['21'], ['cakel?bluebec?blueberry muffin!ke?rarymuffinc!'], ['cake?blueberry mu ffin!'], ['aaaaapUMPK aaaaaa 1A'], ['aaaaacake?aa aaaaa 1A'], ['Pumie!cake?'], ['OPxQVV'], ['cmbluebeerry muffin!'], ['pUcake?blueberry muffnin!IE'], ['acake?blueberrymuffin!aaaa 1'], ['blueberry aaaaaa aaaaa 1An pie!cake?muf'], ['apple piaaaaaa aaaa 1Ae!'], ['cebOPxQVerrymuffinc!'], ['bluebepbUMEPKIN PIErccakceberrymuffinc!Pumpkin pie!cake?bapple pcakel?blueberrymuffinc!iie!e?muffin!'], ['bluebepUMEapple piaaaaaa aaaa 1Ae!muffinM!'], ['cebcbluebeerry muffin!errymuffcinc!'], ['aaa1Pumpkin pie!c ake?applel pUMPaaaaa aaaaa 1AKPIEPumpkin pi epie!2aaa A'], ['21Peumpkine pie!cake?'], ['cebcbluebeerry muffinPblueberry mufumpkin e!!errymuffcinc!'], ['cake?blueberrymufficebOPxQVerirymuffinc!n!'], ['cebcbluebeerry muffin!errymuffcinaaaaapUMPK aaaaaa 1Ac!'], ['pUMblueberry ceberrymuffinc!Pumpkin pie!cake?mufPKPIEPumpkin pi e'], ['applel pUMPKPIEPumpkin pi eppie!'], ['acake?bluebferrymuffin!aaaa 1'], ['cberry muffin!'], ['21Peumpki?'], ['aa1aaceberrymunc!Pumpekin pie!ecake?aa 1'], ['Apple $%^pie'], ['Hello, wor1d!'], ['The quick brown fox jumps over the lazy dogs.'], ['apple pie... or is it?'], ['My favorite food is fish, even though it swims.'], ['apple pi\ne'], ['the quick brown fox jumps over the lazy dogs'], ['apple pie! '], ['appple pie 1 '], ['A$pple $%^pie'], ['Apple $%^$p$%^pieie'], ['$%^$p$%^pieie'], ['food'], ['My favorite food is fish, even thougeh it swims.'], ['The quick browthe quick brown fox jumps over the lazy dogsn fox jumps over the lazy dogs.'], ['The'], ['Apple'], ['pi'], ['A$ppleapple pie!'], ['$%^$p$ieie'], ['aapple pie!pple pie!'], ['Hello, wor1d!!'], ['Apple $$%^pie'], ['A$ppl'], ['swims.'], ['p'], ['brown'], ['brwor1d!!own'], ['KeBambuP'], ['thApple $%^$p$%^pieieps over the lazy dogs'], ['over'], ['a'], ['apple piee! '], ['My favorite food is fish, even though it swims'], ['ffish,'], ['My favorite food is fish, even thougeh it s$%^piewims.'], ['dogs'], ['woquickr1d!'], ['A$ppleapple piapple pie! e!'], ['ap'], ['My favorite food is fish, even tho,ugh it swims'], ['foofd'], ['s$%^piewims.swims.'], ['$%^$p$%^pieeie'], ['A$ppleappl!e pie!'], ['thApple'], ['aapplfavoritee pie!pple pie!'], ['ApA$pplple'], ['apple pi\neapple piee! '], ['$%^$p$%^pieeie$%^$p$%^pieeie'], ['apple pie..A$ppleappl!e pie!. or is it?'], ['applpi\ne'], ['$%^$p$%^pieieps'], ['the quick brA$pplapple pie! eappl!es'], ['My favorite food is fish, even tho,ugh itjumps swims'], ['fooffd'], ['appl pie! '], ['fofooffdod'], ['Apple $%^$p$%^p'], ['My favoriitte food is fiwims.'], ['ovoer'], ['wor!!'], ['broA$ppleappl!e pie!wn'], ['ofoofd'], ['apppl pie! '], ['apple pie..A$ppleappl!e piei!. or is it?'], ['Apple $$%^ps$%^piewims.swims.ie'], ['Hello, wor1d!My favorite food is fish, even though it swims.'], ['apple pie..A$ppleappl!e pieipiapplet?'], ['ff'], ['appple pie 1brwor1d!!own'], ['apThe quick brown fox jumps over the lazy dogs.lpple pie 1 '], ['fox'], ['A$ippleapple pie!'], ['My favorite food is fisheven tho,ugh it swims'], ['or'], ['A$ppleapplee pie!'], ['apple pie..A$ppleappl!e piei!. or is it?fopie!wnofd'], ['pieipiapplet?'], ['1brwor1d!!own'], ['woquickr1d!ap'], ['wor1appl pie! d!Mry'], ['A$ppleappl!e pie!ApA$pplple'], ['pie!ApA$pplple'], ['A$pple'], ['foxx'], ['Hello, woor1d!'], ['ee'], ['fooapppl pie! d'], ['Hello,'], ['quick'], ['foA$ippleappleoapppl pie! d'], ['foA$ippleoapppl pie! id'], ['lazy'], ['Helleo,'], ['ApA$ppl$%^$p$%^pe'], ['foA$ippleoapppl'], ['My favorite fod is fisheven tho,ugoh it swimse'], ['apple '], ['jl'], ['My favorite food is fish, even though it swimis'], ['A$ppleappl!pie...e pie!ApA$pplple'], ['My favorite food is fish,My even tho,ugh it swims'], ['A$pp$le'], ['appiei!. or is itf?fopie!wnofd'], ['favorite'], ['jumps'], ['brA$pplapple'], ['Tehe'], ['!wor!!'], ['owoquickr1d!ap'], ['id'], ['wor1d!Mya'], ['fiwims.'], ['sdogs.'], ['bnnrown'], ['1brwor1wd!!own'], ['eHello, woor1d!'], ['MMy'], ['$$%^ps$%^piewims.swims.ie'], ['$%^e$p$%^p%ieeie$%^$p$%^pieeie'], ['bbroA$ppleappl!e'], ['$%^$p$%^pieeie$%^$p$%^pie'], ['My favorite food is fish, eveni tho,ugh it swims'], ['A$ppleappl!e fish,pie!ApA$pplple'], ['AA$ippleapple pie!'], ['appl apie! '], ['broA$ppleae pie!wn'], ['My favorite food is fish, even though it swimisHello, wor1d!!'], ['it'], ['My favorite food is fems.'], ['pie!.'], ['swims.apppl pie! '], ['t?'], ['brwor1d!1!own'], ['ppi'], ['1brwor1!d!!own'], ['Hello, 1woor1d!'], ['appe! '], ['fofx'], ['n'], ['HelA$ippleapplelo,'], ['applpi'], ['appl'], ['fooffoxxd'], ['pp'], ['eveni'], ['bnnrobwn'], ['$%^$p$%^pieiepsfood'], ['piei!.'], ['ApplAe $aapple pie!pple pie!$%^ps$%^piewims.swims.i'], ['thHello, 1woor1d!Apple $%^$p$%^pieieps over the lazy dogs'], ['A$ppleapple'], ['appfisl'], ['t??'], ['The quick browthe quick brown fox jumps over the lazy dogsn fox jumps over the lazy dohgs.'], ['pieipipie!wnapplet?woquickr1d!'], ['Appl$e $$%^ps$%^piewims.swims.ie'], ['A$ippleapple pi'], ['!!wor!!'], ['appl pie ! '], ['fooffoA$ip$pleoapppld'], ['A$ppKeBambuP'], ['A$$pple $%^pie'], ['KeBambuPA$ippleapple pi'], ['hWwY'], ['!w!r!!'], ['A$ppleappl!e fish,pie!Hello, wor1d!My favorite food is fish, even though it swims.A$pplple'], ['1woor1d!Apple'], ['oovoer'], ['the quick brA$pplapplappple pie 1brwor1d!!owne pie! eappl!es'], ['foA$ippl1eopapppl'], ['$%^pie'], ['Heo,'], ['A$ppKeBamb'], ['AApsp^My favorite food is fish, even tho,ugh itjumps swimspie'], ['dogsn'], ['Hello, wor1d!!i!.'], ['ppfish,pie!Hello,'], ['pie!pple'], ['ppfish,p,ie!Hello,'], ['d'], ['Hello, wor1,d!'], ['AA$ippleapple pThe quick browthe quick brown fox jumps over the lazy dogsn fox jumps over the lazy dohgs.ie!'], ['ffof'], ['evewor1appli'], ['A$$pple'], ['nTehe'], ['$%^^pie'], ['applpieappl!es'], ['My favorite food is fish, even though imt swims.'], ['thApple $%^$p$%^pieieps over the laozy dogs'], ['ffofwor!!'], ['KeBambuPA$ippleapple'], ['pieswimisHello,!pple'], ['Hel wor1d!!'], ['zLkykywysmc'], ['swims'], ['zLkykwysmc'], ['foooffd'], ['appe!'], ['$%^$p$%^pieei$eo,'], ['broA$ppleappl!!wn'], ['thee quick brA$pplapplaA$ippleappleppple pie 1brwor1d!!owne pie! eappl!es'], ['apie!'], ['woaapple!!i!.'], ['The quick browthe quick zbrown fox jumps orver the lazy dogsn fox jumps over the lazy dohgs.'], ['My favorite food, even thougeh it swims.'], ['A$ppleappl!e fish,pie!Hello, wor1d!My favorite food is fish, even though it swfoxims.A$pplple'], ['ppfish,piie!Hello,'], ['Apple $%The quick browthe quick brown fox jumps over the lazy dogsn fox jumps over the lazy dogs.^p'], ['A$$pe'], ['OqmEHnVTg'], ['pie!$%^ps$%^piewims.swims.i'], ['the quick brA$pplapplappple pie 1Applerwor1d!!owne pie! eappl!es'], ['A$$applpieappl!es'], ['AA$ippleapie!'], ['fooapppl'], ['Hello,1 wor1d!!i!.'], ['d!Mry'], ['brA$pp$lapple'], ['My favoriote food is fish,My even tho,ugh i t swims'], ['KeBambuPA$ippleapplei'], ['MM'], ['thApple $%^$p$%^pieieps over the lazyit?fopie!wnofd dogs'], ['t'], ['gxThe quick browthe quick zbrown fox jumps orver the lazy dogsn fox jumps over the lazy dohgs.'], ['aapplfavoritee pie!ppapple piee! le pie!'], ['A$ppleappl!e fish,pie!Hello, wor1d!My favorite fven though it swfoxims.A$pplple'], ['A$ppleappl!e fish,pie!Hello, wor1d!My favorite food is firsh, even though it swims.A$pplple'], ['My favorite food is fish, even thougeh it s$%^ewims.'], ['A$A$ppleapplepp$le'], ['thApple $%^$p$%^pieieps over the lapie!nofd dogs'], ['appli apie! '], ['brwor1d!woquickr1d!ap1!own'], ['Hel'], ['ffff'], ['pieipiappllet?'], ['HelloMy favorite food is fish, even thougeh it s$%^piewims.,'], ['Apple $%The qA$pp$leuick browthe quick brown fox jumps over the lazy dogsn fox jumps over the lazy dogs.^p'], ['upquicA$pple'], ['s$%^pieappiei!.wims.swims.'], ['szLkykywysmc'], ['thAppl'], ['sdogs.t??'], ['fven'], ['brA$pplapplaA$ippleappleppple'], ['oo'], ['quickbrwor1d!1!owfoA$ippleoapppl pie! idn'], ['$%^^pipe'], ['A$A$laozypp$le'], ['ii'], ['A$ppleapple piapple pie!e!'], ['aepplpieappl!es'], ['$%$^$p$%^pieie'], ['i'], ['apThe'], ['HelloMy favorite food is fish, even thougeh it s$%^piewims.,over'], ['A$ipHello, wor1d!My favorite food is fish, even though it swims.ple pi'], ['ofwor!!'], ['ppfish,p,ie!Hello,zLmc'], ['Appl$e $$%^ps$%^pi$%^$p$%^pieiepswims.ie'], ['A$ppleappl!e fish,pie!Hello, wori1d!My favorite food is fish, even though it swfoxims.A$pplple'], ['the quick brA$pplapplappplee pie 1Applerwor1d!!owne pie! eappl!es'], ['A$ppleappl!e fish,pie!Hello, wor1d!My favorite fven though it swfolxims.A$pplple'], ['My fa vorite food is fish, even tho,ugh itjumps swims'], ['appple'], ['Apple $%The quick browthe quick brown fox jumps over the lazy dogsn fox jumps over the lazy dfiwims.ogs.^p'], ['iE'], ['The quick brown foxk jumps over the lazy dogs.'], ['A$eplple'], ['doogsn'], ['applMy favorite food is fish, even thougeh it s$%^ewim s.'], ['$aapple'], ['broA$ppleappl!e'], ['$%%^e$p$%^p%ieeie$%^$p$%^pieeie'], ['My favoriote food is fish,Mtho,ugh i t swims'], ['A$ppApple $%^pie pie!ApA$pplple'], ['apppe!'], ['My favoriote fMood is fish,Mtho,ugh i t swims'], ['orver'], ['is'], ['pie..A$ppleappl!e'], ['My favorite food is fish, eveni tho,ugh it swwor1d!Myhifms'], ['My favorite food is fish, even aapplfavoritee pie!pple pie!though imt swims.'], ['Apple $%The quick browthe quick brown fox jumps over the lazy dogsn fox jumps over the lazy dfiwims.oppfish,p,ie!Hello,zLmcgs.^p'], ['HelloMy favorite food is fish, even thougeh it s$%^piewims.,overi'], ['Apple $%The qA$pp$leuick browthe quick brown fox jumps over the lazy dogsn fox jumps over the lazy dogs.Apple $%^pie^p'], ['brpiei!.'], ['foxk'], ['lA$ppleapple piapple pie!e!'], ['apThe quick brown fox jumps over the fooapppllazy dogs.lpple pie 1 '], ['Hllo,1'], ['fems.'], ['pie!'], ['zbrown'], ['My favorite ftood is fish, even though imt swims.'], ['apppapple pie!e!'], ['appee! '], ['swfolxims.A$pplpple'], ['fffof'], ['My favoriitteood is fiwims.'], ['eappe!'], ['ae'], ['pie!$%^ps$%^piewims.sA$ppleapplee pie!wims.i'], ['fooofd'], ['My favorite food is fish, evenMy favorite food is fewims'], ['pieipipie!wnapplet?woqui1d!'], ['ipiapple'], ['swims.A$pplple'], ['KeleBambuPA$ippleapple pi'], ['A$ppleappl!e fishA$A$ppleapplepp$le,pie!Hello, wor1d!My favorite food is firsh, even though it swims.A$pplple'], ['iit'], ['My favorite fod is fie'], ['!r!!'], ['fowor1d!!i!.x'], ['dosgs'], ['bbnnrown'], ['!w!r!!!'], ['aei\ne'], ['swfolxims.A$pplple'], ['Apidple'], ['A$A$Apple $%The quick browthe quick brown fox jumps over the lazy dogsn fox jumps over the lazy dfiwims.ogs.^pppleapplepp$le'], ['MylA$ppleapple favoriitte food is fiwims.'], ['Heollleo,'], ['!worMy favorite food is fish, even aapplfavoritee pie!pple pie!though imt swims.!!'], ['bnnroA$ppleapplee pie!bwn'], ['lHello, wor1d!!'], ['MylA$ppleapple favoriitte food is fiwims.$%^$p$ieiA$ipHello, wor1d!My favorite food is fish, fofooffdodeven though it swims.ple pi'], ['Apple $%^$$p$%^p'], ['foofA$ppleappl!e fish,pie!Hello, wor1d!My favorite fven though it swfolxims.A$pplpled'], ['sUwxpM'], ['Hello,o woor1d!'], ['the quick brA$pplappplappplee pie 1Applerwor1d!!owne piel!es'], ['A$A$ppleappl!e fish,pie!Hello, wor1d!My favorite food is firsh, even though it swims.A$pplple$pe'], ['fmJnMBo'], ['fmJfnMBo'], ['My favorite food is fish, even tApple $%foA$ippleappleoapppl^$$p$%^pho,ugh it swims'], ['My ifavorite food, even thougeh it swims.'], ['ifavoriteofwor!!'], ['A$ppleapeplee pie!'], ['A$ppleappl!e fish,pie!Hello, wor1d!My favorite fven though it MylA$ppleapplexims.A$pplple'], ['A$ppleappl!e fish,pie!ApA$pplpleswims.'], ['quickbrwor1d!1!owfoA$ippleoapppl'], ['A$ppleappl!pie...we pie!ApA$pplwor1appl pie! d!Mryple'], ['ewims.'], ['app iei!. or is itf?fopie!wnofd'], ['the quick brA$pplapplappplee pie 1Athe quick brA$pplapplappple pie 1brwor1d!!owne pie! eappl!espplerwor1d!!owne pie! eappl!es'], ['ipialpple'], ['$%^$$p$%^p'], ['pi.'], ['ppi.'], ['foolA$ppleapple piapple pie!e!ofd'], ['gxThe quick browthe quick zbrown fox jumps orver the lazy dogsn fox jumps ofvenver the lazy dohgs.'], ['ffooffd'], ['lA$ppleapple piapple pieA$ppApple!e!'], ['Hel1brwor1d!!ownelo,'], ['pie!$%^ps$%^p^iewims.sA$pp!wims.i'], ['A$ppleappl!pie...we pie!ApA$pplwor1appl pie! d!ofwor!!Mryple'], ['ipialnTeheple'], ['A$ppleapplee'], ['$%^$p$%^pie^eie'], ['pie!$%^piewims.sA$ppleapplee pie!wims.i'], ['woaapple!!i!.MylA$ppleapple favoriitte food is fiwims.$%^$p$ieiA$ipHello, wor1d!My favorite food is fish, fofooffdodeven though it swims.ple pi'], ['A$ppleappl!e pie!AppipA$ppdogs.^plple'], ['foofA$pplefoxxd'], ['Hello, wor1d!My favorite food mis fish,ugms.'], ['s.'], ['dy!Mry'], ['Appl$e'], ['My ifavorite.'], ['KMy favorite food is fisheven tho,ugh it swimsueBapplpiambuPA$ippleapple'], ['appewim\ne'], ['fooffoA$ip$pleoappppieswims.ple!$%^piewims.sA$ppleapplee pie!wims.ild'], ['even'], ['Apple $$%^ppiee!'], ['rovoer'], ['fie'], ['app iei!. or is itf?fo!wnofd'], ['oovHel wor1d!!oApple $$%^ppiee!er'], ['My favoriitteood sis fiwims.over'], ['A$ppleapplee swimsie!'], ['atho,ugoe'], ['ewims.gxThe quick browthe quick zbrown fox jumps orver the lazy dogsn fox jumps ofvenver the lazy dohgs.'], ['My favorite food is fish, even tApple $%foA$ippleappleoapppl^$$p$%^pho,ugh it swiHel1brwor1d!!ownelo,ms'], ['iQVJS'], ['apppl'], ['fewims'], ['Hllo,1oo'], ['ipie!'], ['$$%^^pie'], ['Hello,o'], ['foxkk'], ['Zrm'], ['A$A$Apple'], ['dogs.'], ['pi..'], ['brwthApple $%^$p$%^pieieps over the lazy dogsor1d!!own'], ['aa'], ['a$$%^^piee pie! 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results = [False, True, False, True, False, False, False, False, False, False, True, False, False, False, True, False, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(check_if_last_char_is_a_letter)
print('___SENTINEL___')
| 30487f32fb67ded2b16d7ae5fc0c1d38 |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-4
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-04, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [['apple pie'], ['apple pi e'], ['apple pi e '], ['']]
results = [False, True, False, False]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(check_if_last_char_is_a_letter)
print('___SENTINEL___')
| d652533e5463a14e0d3cd789741ab91d |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-6
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-07, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[[1, 2, 4, 3, 5]], [[1, 2, 4, 5]], [[1, 4, 2, 5, 6, 7, 8, 9, 10]], [[4, 8, 5, 7, 3]], [[]], [[1]], [[1, 2, 3, 4, 5]], [[5, 4, 3, 2, 1]], [[1, 3, 5, 4, 6, 7, 9, 8]], [[10, 9, 8, 7, 6, 5, 4, 3, 2, 1]], [[1, 4, 2, 5, 6, 7, 8, 9, 10, 3]], [[1, 3, 2, 4]], [[5, 4, 3, 2]], [[-1, 0, 1, 2, 3]], [[2, 3, 1, 4]], [[1, 3, 4]], [[6, 0, 1, 2, 3]], [[1, 4, 2, 5, 6, 8, 9, 10, 3]], [[2, 3, 4, 5]], [[2]], [[1, 2, 5, 6, 8, 9, 10, 3]], [[5, 4, 3, 1, 2]], [[1, 3, 5, 4, 6, 7, 8]], [[3, 1]], [[1, 4, 2, 5, 6, 7, -1, 9, 10, 3]], [[1, 4, 2, 5, 7, -1, 9, 10, 3]], [[6, 0, 1, 3]], [[-1, 0, -2, 1, 2, 3]], [[1, 4, 2, 5, 6, 8, 7, -1, 9, 10, 3]], [[10, 1]], [[5, 4, 2]], [[2, 1]], [[3, 2, 4]], [[5, 4, 6, 2]], [[1, 4, 2, 6, 8, 7, -1, 9, 10, 3]], [[6, 0, 1, 2, 4]], [[5, 4, 2, 1, 8]], [[9, 8, 7, 6, 5, 4, 3, 2, 1]], [[8, 4, 3, 2]], [[1, 4, 2, 6, 7, 5, -1, 10, 3]], [[-1, 2, 1]], [[1, 3, 5, 4, 6, 7, 9]], [[1, 3, -2]], [[-1, 2, 0]], [[5, 10, 1]], [[6, 0, 10, 2, 4]], [[6, 3, 4, 5]], [[1, 4, 2, 5, 6, 7, -1, 9, 3]], [[6, 0, 10, 4]], [[2, 3, 7, 4]], [[10, 8, 7, 6, 5, 4, 3, 2, 1]], [[6, 0, 2, 4]], [[2, 4, 10, 5]], [[8, 4, 3]], [[3]], [[5, 4, 6, -2]], [[5, 4, 2, 1]], [[4, 2, 1]], [[10, 3, -2, -1, 1]], [[1, 3]], [[3, 7]], [[0, 4, 2, 1, 8]], [[10, 9, 8, 7, 6, 5, 4, 3, 2, 0]], [[10, 3, 2, -2, -1, 1]], [[6, 4, 3, 1, 2]], [[-1, 0, 1, 7, 3]], [[1, 8, 4, 3, 2]], [[1, 3, 5, 4, 6, 7, 10, 8]], [[3, 1, 4]], [[1, 6, -2, 3]], [[5, 4, -3]], [[-1, 0, 6, 7, 3]], [[5, -3]], [[6, 0, 1, 2, 3, 4]], [[-1, 5, 0, 1, 2, 3]], [[7]], [[1, 3, 5, 4, 10, 6, 7, 9]], [[6, 3, 2, 4]], [[1, 3, 2, -3, 4]], [[1, 4, 2, 5, -2, 7, -1, 9, 10, 3]], [[1, 3, 5, 4, -1, 6, 7, 9, 8]], [[1, 4, 5, 6, 8, 7, -1, 9, 10, 3]], [[-3, 5, 4, -2]], [[5, 3, 2]], [[-1, -2, 1, 2, 3]], [[2, 1, 4, 10, 5]], [[0, 3]], [[-2, 5, -3]], [[2, 3, 4, 7]], [[10, 9, 8, 7, 6, 5, 4, 3, 1, 0]], [[6, 1, 2, 4]], [[4, 1]], [[-1, 2]], [[5, 6, 7, 0, 10, 4]], [[0, 1, 2, 4]], [[10]], [[1, 6, 0, -2, 3]], [[5, -3, 4, 6, -2]], [[5, 10]], [[4, 2, 1, 3, 5, 6, 7]], [[10, 9, 8, 4, 7, 6, 5, 2, 1]], [[3, 6, 9, 12, 15, 18, 21, 19, 16, 13, 10, 7, 4, 1, 2, 5, 8, 11, 14, 17, 20]], [[1, 3, 5, 4, 2, 6, 8, 7, 10]], [[1, 2, 3, 10, 9, 8, 7, 6, 5]], [[10, 9, 8, 1, 2, 3, 4, 7, 6, 5]], [[1, 10, 2, 9, 3, 8, 4, 7, 5, 6]], [[5, 4, 3, 2, 1, 6, 7, 8, 9, 10]], [[1, 3, 2, 5, 4, 7, 6, 9, 8, 10]], [[4, 3, 2, 1]], [[4, 8, 2, 1]], [[4, 6, 2, 1]], [[10, 8, 17, 7, 6, 5, 2, 18, 1]], [[3, 6, 9, 12, 15, 18, 21, 19, 16, 13, 10, 7, 4, 1, 2, 5, 8, 14, 17, 20]], [[10, 9, 8, 4, 17, 6, 5, 2, 1]], [[1, 3, 2, 5, 4, 7, 9, 8, 10]], [[4, 6, 3, 1]], [[4, 3, 2, 5, 1]], [[1, 2, 4, 10, 9, 8, 7, 6, 5]], [[2, 4, 10, 9, 8, 7, 6, 5]], [[1, 5, 4, 2, 6, 8, 7, 10]], [[1, 3, 5, 4, 2, 8, 7, 10]], [[10, 9, 8, 1, 2, 3, 4, 7, 6]], [[4, 3, 12, 2, 1]], [[19, 4, 3, 2, 1]], [[10, 9, 8, 4, 18, 6, 5, 2, 1]], [[4, 2]], [[4, 3, 2, 5]], [[4, 9, 3, 2, 5]], [[4, 2, 5, 1]], [[4, 3]], [[4, 6, 3]], [[10, 9, 8, 1, 18, 2, 3, 4, 7, 6]], [[9, 4, 2, 1]], [[4, 3, 1]], [[0, 1, 3, 2, 5, 4, 7, 9, 8, 10]], [[0, 1, 3, 2, 5, 4, 6, 7, 9, 8, 10]], [[3, 2, 1, 5]], [[1, 3, 5, 4, 0, 2, 6, 8, 7, 10]], [[0, 3, 12, 18, 2, 5, 4, 6, 7, 9, 8, 10]], [[1, 3, 5, 2, 6, 8, 7, 10]], [[4]], [[1, 3, 5, 2, 6, 8, 10]], [[1, 4, 5, 2, 6, 8, 10]], [[1, 2, 3, 10, 9, 8, 6, 5]], [[4, 3, 2, 5, 16, 1]], [[1, 3, 2, 5, 4, 7, 6, 8, 10]], [[1, 5, 4, 2, 8, 7, 10]], [[4, 3, 2, 5, 19, 1]], [[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]], [[4, 2, 3, 5, 1]], [[0, 3, 12, 18, 21, 5, 4, 6, 7, 9, 11, 8, 10]], [[5, 4, 9]], [[1, 0, 5, 4, 2, 6, 8, 7, 10]], [[0, 1, 3, 5, 4, 6, 7, 9, 8, 10]], [[19, 4, 2, 1]], [[19, 4, 17, 2, 1]], [[11, 3]], [[1, 3, 5, 4, 0, 16, 6, 8, 7, 10]], [[8, 3, 1]], [[5, 15, 2]], [[11, 2, 3]], [[1, 2, 4, 10, 9, 7, 6, 5]], [[3, 5]], [[3, 6, 9, 12, 15, 18, 21, 19, 16, 13, 7, 4, 1, 2, 5, 8, 14, 17, 20]], [[19, 4, 3, 10, 8, 9, 1]], [[1, 3, 5, 4, 0, 16, 8, 7, 10]], [[19, 0, 4, 2, 1]], [[9, 13, 4, 2, 1]], [[2, 5]], [[4, 16, 2, 5, 19, 1]], [[5, 4, 9, 2]], [[10, 9, 8, 4, 17, 6, 5, 15, 2, 1]], [[3, 6, 9, 12, 15, 18, 21, 19, 16, 13, 4, 1, 2, 5, 8, 14, 17, 20]], [[19, 4, 12, 2, 1]], [[5]], [[8, 14, 3, 1]], [[1, 3, 2, 5, 14, 4, 0, 16, 7, 10]], [[19, 4, 12, 2]], [[3, 5, 4, 8, 15, 7, 10]], [[5, 2]], [[1, 4, 5, 18, 2, 6, 8, 10]], [[1, 4, 5, 2, 6, 8]], [[2, 1, 5]], [[3, 6, 9, 12, 15, 21, 19, 16, 13, 10, 7, 4, 1, 2, 5, 8, 11, 14, 17, 20]], [[10, 9, 8, 1, 2, 3, 4, 7, 5]], [[9, 4, 2]], [[4, 18, 3, 1]], [[15, 2, 3, 10, 9, 8, 6, 5]], [[9, 2, 1]], [[4, 2, 5, 19, 1]], [[4, 6, 17]], [[1, 3, 5, 2, 4, 8, 10]], [[5, 4, 2, 6, 8, 7, 10]], [[8, 4, 15, 9, 2]], [[1, 5, 0, 16, 8, 7, 10]], [[5, 4]], [[5, 4, 3, 2, 1, 6, 7, 9, 10]], [[4, 3, 5, 16, 1]], [[3, 4]], [[8, 4, 3, 15, 9, 2]], [[4, 3, 7, 5, 19, 1]], [[4, 6, 2, 7, 9]], [[6, 9, 12, 15, 21, 19, 16, 13, 10, 7, 4, 1, 2, 5, 8, 11, 14, 17, 20]], [[5, 15]], [[4, 21, 3, 9]], [[11, 2]], [[1, 3, 5, 2, 6, 8]], [[1, 0, 5, 14, 2, 6, 8, 7, 10]], [[6, 2, 1]], [[5, 4, 15, 2]], [[20, 19, 4, 3, 2, 1]], [[1, 3, 2, 6, 8, 7, 10]], [[5, 4, 3, 1, 6, 7, 9, 10]], [[12, 3]], [[8, 4, 15, 10, 9, 2]], [[1, 3, 5, 4, 0, 17, 16, 8, 7, 10]], [[3, 5, 0, 16, 8, 7, 10]], [[19, 18, 3, 1]], [[5, 9]], [[4, 5, 1]], [[15]], [[3, 2, 1]], [[0, 20, 2, 1]], [[15, 1, 12, 3, 5, 4, 2, 8, 7, 10]], [[1, 3, 2, 6, 5, 8]], [[1, 3, 5, 9, 6, 8, 10]], [[2, 3]], [[3, 4, 21, 2, 9]], [[4, 10, 2, 7]], [[12, 1]], [[20, 1, 2, 3, 10, 9, 8, 7, 6, 5]], [[3, 2, 5]], [[4, 0, 1]], [[0, 1, 5, 4, 6, 7, 9, 8, 10]], [[1, 10, 2, 9, 3, 8, 4, 13, 5, 6]], [[1, 3, 5, 2, 21, 4, 8, 10]], [[2, 4, 10, 8, 7, 6, 5]], [[8, 4, 15, 9]], [[3, 12, 2, 1]], [[3, 5, 0, 16, 15, 8, 7]], [[19, 4, 13, 2, 1]], [[15, 3, 5, 4, 2, 8, 7, 10]], [[1, 3, 5, 6, 8, 14, 10]], [[19, 3, 0, 4, 2, 1]], [[19, 4, 12, 1]], [[4, 5, 19, 1]], [[10, 8, 17, 7, 5, 3, 18, 1]], [[3, 6, 9, 12, 15, 18, 21, 19, 16, 13, 4, 1, 2, 8, 14, 17, 20]], [[11, 10, 2]], [[4, 9, 3, 2]], [[2, 8, 4, 3, 15, 9]], [[19, 3, 13, 2, 1]], [[12, 5, 9]], [[1, 3, 2, 5, 14, 4, 16, 7, 10]], [[10, 2, 7]], [[4, 3, 2, 1, 6, 7, 8, 9, 10]], [[1, 20, 5, 2, 21, 4, 8, 10]], [[5, 19, 1]], [[1, 3, 5, 4, 2, 8, 10]], [[1, 3, 2, 12, 8, 7, 10]], [[13, 6, 2, 1]], [[19, 4, 12, 0, 1]], [[10, 3, 5, 19, 1]], [[5, 6, 9]], [[19, 8, 14, 3]], [[4, 18, 20, 5, 2, 1]], [[15, 1, 12, 20, 5, 4, 2, 8, 7, 10]], [[10, 9, 21, 4, 17, 6, 15, 2, 1]], [[15, 5, 4, 2, 7, 10]], [[4, 5, 12, 1]], [[1, 4, 5, 2, 11, 8, 10, 6]], [[-1, 5, 0, 2]], [[16, 9, 2, 1]], [[2, 3, 10, 9, 8, 6, 1, 5]], [[4, 6, 2, 0, 1]], [[20, 4, 12, 1]], [[3, 2, 5, 19, 1]], [[1, 3, 0, 6, 8, 14, 10]], [[4, 15, 2]], [[4, 10, 12]], [[9]], [[3, 2, 5, 4, 7, 9, 8, 10]], [[4, 18, 20, 5, 9, 1]], [[4, 16, 2, 5, 19]], [[5, 4, 3, 2, 1, 6, 15, 9, 10]], [[4, 5, 2, 6, 8]], [[4, 20, 5, 9, 1]], [[15, 16, 2, 3, 5, 19]], [[10, 9, 8, 1, 5, 2, 3, 4, 7, 6]], [[3, 2, 15, 5]], [[10, 8, 17, 7, 6, 2, 18, 1]], [[1, 2, 4, 17, 10, 9, 7, 6, 18]], [[1, 3, 2, 5, 8]], [[3, 2]], [[4, 10, 7]], [[18, 4, 6, 17]], [[19, 4, 3, 20, 2]], [[5, 6, 4, 9]], [[1, 3, 5, 4, 6, 7, 9, 8, 10]], [[1, 20, 5, 6, 2, 21, 4, 8, 10]], [[19, 4, 14, 3, 2, 1]], [[19, 18, 1]], [[4, 3, 2, 0, 5, 16, 1]], [[19, 4, 10, 8, 9, 1]], [[19, 5]], [[3, 0, 2, 1]], [[4, 13, 12]], [[37.45846213316932, -21.8131802318007, -18.630055685163583, -76.49298700358514, -63.655488885630994, 81.75342869524977, 96.86306070463999, 77.21191831561089, 22.028951203200748, -54.83341431889768]], [[20, 6, 3, 2, 1]], [[1, 20, 3, 5, 4, 0, 2, 6, 8, 7, 10]], [[6, 4, 3, 2, 1]], [[5, 2, 6, 21, 8]], [[1, 2, 10, 9, 8, 6, 5, 3]], [[1, 3, 2, 5, 14, 4, 0, 16, 10]], [[19, 4, 10, 7, 9]], [[1, 3, 2, 5]], [[3, 6, 9, 12, 0, -1, 21, 19, 16, 13, 10, 7, 4, 1, 2, 5, 8, 11, 14, 17, 20]], [[5, 3, 2, 1, 6, 7, 8, 9, 10]], [[2, 0]], [[4, 2, 10, 9, 8, 6, 5, 3]], [[3, 5, 0, 16, 15, 7]], [[19, 4, 13, 2, 8]], [[4, 3, 2, 1, 6, 15, 9, 10]], [[5, 4, 3, 2, 1, 6, 7, 17, 10]], [[15, 2, 5, 19]], [[18, 9, 6, 15, 16, 2, 3, 5, 19]], [[1, 3, 2, 6, 8]], [[19, 12, 1]], [[-1, 12, 3]], [[22.028951203200748, -21.8131802318007, 37.45846213316932, -76.49298700358514, 90.03562713717855]], [[6, 21, 1]], [[6]], [[15, 16, 2, 3, 4, 19]], [[9, 1]], [[1, 10, 2, 9, 3, 18, 8, 4, 5, 6]], [[4, 18, 20, 2, 1]], [[1, 4, 2]], [[1, 5, 2, 6, 8]], [[18, 5]], [[20, 15]], [[4, 10, 11, 12]], [[3, 2, 12, 8, 7, 10]], [[20]], [[8]], [[10, 3, 16, 19, 1]], [[13, 1]], [[19, 4, 3, 20, 1]], [[19, 4, 6, 2, 1]], [[0, 5, 4]], [[8, 3]], [[17, 3, 0, 2]], [[20, 5, 1, 2]], [[10, 9, 8, 5, 2, 3, 4, 7, 6]], [[7, 4, 15, 9]], [[19, 4, 10, 8, 9, 16, 1]], [[19, 4, 13, 3, 2, 1]], [[10, 9, 1, 2, 3, 4, 7, 6, 5]], [[4, 3, 5, 1]], [[0, 20, 1, 5, 4, 6, 7, 9, 8, 10]], [[1, 5, 4, 2, 6, 7, 10]], [[19, 4, 3, 8, 9, 1]], [[1, 5]], [[13, 9, 0, 8, 4, 18, 6, 5, 2, 1]], [[4, 2, 1, 6, 15, 9, 10]], [[4, 9, 19, 2]], [[4, 3, 2, 5, 21]], [[10, 3, 6, 19, 1]], [[4, 17, 18, 20, 2, 1]], [[20, 3, 12, 1]], [[5, 1]], [[2, 11, 3]], [[1, 0, 3]], [[10, 9, 21, 17, 6, 15, 2, 1]], [[19, 4, 6, 2]], [[4, 1, 3, 5]], [[2, 3, 1]], [[0, 1, 3, 2, 5, 4, 6, 15, 7, 9, 8, 10]], [[4, 2, 13, 6, 15, 9, 10]], [[4, 3, 2, 6]], [[1, 3, 0, 5, 4, 2, 6, 8, 7, 10]], [[10, 2]], [[2, 21, 5]], [[4, 3, 0, 5, 16, 1]], [[1, 4, 20, 2, 6, 8, 10]], [[10, 8, 17, 6, 2, 18]], [[1, 10, 9, 3, 8, 4, 13, 5, 6]], 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1, 10, 2, 9, 14, 4, 7, 5, 6]], [[0, 2, 3, 4, 10, 17, 9, 8, 5]], [[1, 2, 20, 3, 9, 8, 6]], [[1, 2, 8, 3, 10, 9, 14, 5]], [[4, 2, 19, 5, 6]], [[20, 14, 4, 7]], [[2, 9, 14, 7, 5, 10, 6]], [[2, 3, 10, 9, 8, 7, 5]], [[1, 10, 8, 9, 7]], [[2, 8, 3, 7]], [[1, 13]], [[6, 14, 1, 7]], [[21, 1, 5, 7]], [[3, 18, 10, 6, 4]], [[4, 2, 1, 5, 7, 15, 9, 10]], [[2, 12, 3, 11, 10, 9, 8, 7, 5]], [[2, 3, 10, 9, 1, 7, 5]], [[17, 1, 2, 18, 21, 8, 7]], [[10, 1, 7]], [[18, 20, 14]], [[14, 3, 4, 7]], [[11, 2, 10, 7, 4]], [[4, 1, 3, 5, 6, 7]], [[2, 6, 4, 7]], [[17, 2, 18, 21, 8, 7]], [[0, 1, 6]], [[18, 1, 2, 3, 9, 8, 6, 5]], [[4, 1, 3, 18, 5, 6, 7]], [[1, 10, 2, 9, 14, 7, 4, 6]], [[2, 20, 10, 9, 8, 7, 5]], [[2, 1, 13]], [[2, 12, 11, 10, 9, 8, 7, 5]], [[3, 10, 8, 7, 6, 5]], [[1, 2, 9, 14, 7, 20, 10, 17]], [[4, 1, 6, 7, 5, 9]], [[1, 16, 14, 3, 18, 9, 8, 7, 5]], [[19, 2, 0, 11, 7]], [[1, 0, 2, 10, 8, 6, 5]], [[1, 2, 8, 10, 9, 14, 5]], [[1, 2, 18, 0, 7, 5]], [[18, 10, 6]], [[0, 1, 2, 4, 10, 21, 17, 9, 6, 5]], [[13, 1, 2, 3, 6, 10, 9, 7, 11]], [[1, 2, 10, 6, 5]], [[18, 0, 1]], [[5, 2, 6, 8, 20]], [[4, 2, 1, 5, 19, 8, 9]], [[6, 1, 16, 13]], [[18, 10, 14, 6, 4]], [[6, 1, 3, 11, 5, 7]], [[1, 2, 5, 7]], [[0, 1, 8, 2, 3, 7]], [[1, 9]], [[4, 2, 1, 5, 7, 13, 14, 9, 10]], [[4, 2, 19, 6]], [[2, 6, 14, 1, 7]], [[4, 15, 3, 5, 6, 7]], [[2, 17, 11, 3, 10, 8, 6, 5]], [[1, 3, 12, 10, 9, 8, 6, 15]], [[13, 1, 2, 3, 6, 10, 9, 8, 11, 7, 5]], [[0, 5, 3, 10, 7]], [[4, 2, 1, 5, 7, 9, 21, 10, 3]], [[1, 2, 13, 14, 7, 5, 6]], [[17, 4, 7]], [[1, 10, 2, 3, 8, 4, 7, 5, 6]], [[0, 14, 3, 18, 9, 7, 5]], [[4, 2, 11, 1, 5, 7, 15, 9, 10]], [[0, 2, 4, 17, 9, 5]], [[1, 3, 9, 8, 6, 5]], [[0, 5, 3, 7, 19, 10]], [[19, 2, 1, 8, 3, 11, 7]], [[12, 1, 10, 2, 9, 4, 7, 5, 6]], [[3, 4, 5, 2, 6, 8, 20]], [[4, 3, 2, 6, 7, 8, 11, 9]], [[1, 8, 9, 7]], [[2, 17, 11, 3, 10, 8, 15, 5]], [[1, 2, 9, 14, 7, 5, 0, 6]], [[7, 1, 3, 11, 13]], [[3, 6, 8, 9, 10]], [[3, 4, 2, 1, 6, 7, 8, 9, 20]], [[2, 5, 7]], [[16, 2, 3, 10, 9, 7, 6, 0, 5]], [[2, 1, 3]], [[0, -1, 21, 2, 4, 10, 17, 9, 6, 5]], [[2, 21, 10, 9, 8, 7, 5]], [[17, 18, 1, 21, 2]], [[2, 1, 7]], [[3, 5, 2, 19, 8, 21]], [[2, 1, 6, 5, 7, 10]], [[17, 1, 20, 3]], [[1, 2, 3, 6, 10, 9, 7, 11]], [[1, 10, 7, 5]], [[1, 2, 3, 9, 6, 12]], [[21, 5, 7]], [[21, 4, 1, 5]], [[12, 3, 11, 10, 9, 8, 7, 5]], [[1, 16, 14, 3, 19, 11, 13, 7, 5]], [[4, 1, 5, 7, 9, 10, 3]], [[3, 10, 8, 9, 6]], [[11, 7]], [[1, 3, 9, 8, 5]], [[5, 14, 3, 2, 9]], [[2, 6, 14, 4, 7]], [[1, 5, 3, 10, 11, 4, 18]], [[10, 2, 3, 8, 4, 7, 5, 6]], [[18, 0, 21, 1]], [[1, 3, 20]], [[18, 12, 3]], [[0, 2, 16, 7]], [[19, 2, 1, 3, 12, 10, 11, 7]], [[2, 6, 4]], [[4, 1, 5, 7, 8, 9]], [[1, 4]], [[14, 4, 17, 1, 5, 7, 8, 9, 10]], [[19, 1, 0, 11, 7]], [[4, 2, 1, 17, 19, 5, 14, 6]], [[14, 7]], [[14, 3, 2, 12]], [[10, 2, 11, 7]], [[2, 1, 6, 7, 8, 20, 10]], [[1, 3, 5, 4, 2, 6, 8, 7, 14, 10]], [[1, 9, 7]], [[14, 9, 1, 20, 15]], [[1, 20, 9, 8, 6]], [[0, 2, 10, 16, 17, 19, 9, 8, 5]], [[1, 8, 3, 10, 9, 7, 5]], [[1, 2, 4, 10, 17, 9, 6, 5]], [[1, 8, 9]], [[17, 1, 2, 18, 9, 8, 3, 7]], [[2, 1, 6, 7, 8, 20, 5, 10]], [[1, 5, 16, 7, 9, 10, 3]], [[0, 4, 17, 1, 5, 7, 8, 19, 10]], [[5, 2, 6, 12, 8, 20]], [[5, 3, 2, 1, 6, 7, 8, 9, 20, 10]], [[4, 2, 1, 6, 8, 13, 9, 10]], [[1, 2, 5, 4, 7, 6, 9, 8, 12]], [[1, -1, 3, 6, 10, 9, 7]], [[1, 5, 4, 7, 6, 8, 12, 2]], [[4, 3, 2, 1, 6, 7, 8, 11, 9, 10]], [[1, 2, 18, 9, 19]], [[2, 8, 5, 3, 7]], [[4, 2, 1, 3, 5, 6, 12, 7]], [[2, 1, 7, 10]], [[3, 5, 4, 2, 6, 9, 20, 10]], [[6, 19, 2, 11, 7]], [[10, 1, 17, 7]], [[13, 1, 2, 3, 6, 10, 9, 8, 5]], [[10, 8, 9, 7]], [[1, 4, 12]], [[4, 2, 0, 6, 7, 8, 9, 10]], [[2, 14, 11, 3, 10, 9, 8, 6, 5]], [[2, 1, 3, 11, 12, 7]], [[16, 2, 3, 10, 9, 8, 14, 6]], [[6, 4]], [[0, 14, 3, 18, 9, 7]], [[1, 2, 3, 18, 9, 6, 5]], [[2, 12, 0, 11, 10, 9, 8, 7, 5]], [[13, 11, 3, 6, 10, 9, 8, 5]], [[4, 1, 18, 5, 6, 7]], [[10, 18, 2, 3, 8, 4, 7, 5, 6]], [[18, 20, 3]], [[3, 14, 4, 7]], [[5, 14, 11, 3, 2, 12]], [[8, 1, 20, 3]], [[2, 1, 6, 7, 8, 10]], [[2, 6, 5, 7, 10]], [[1, 3, 9]], [[2, 20, 10, 7, 4]], [[18, 2, 1, 21]], [[4, 3, 1, 6, 8, 13, 19, 9, 10]], [[8, 1, 5, 3, 10, 7]]]
results = [3, -1, 2, 4, -1, -1, -1, 4, 7, 9, 9, 2, 3, -1, 2, -1, 1, 8, -1, -1, 7, 3, 3, 1, 9, 8, 1, 2, 10, 1, 2, 1, 1, 3, 9, 1, 3, 8, 3, 8, 2, 3, 2, 2, 2, 3, 1, 8, 3, 3, 8, 1, 3, 2, -1, 3, 3, 2, 2, -1, -1, 3, 9, 3, 3, 4, 4, 7, 1, 2, 2, 4, 1, 1, 2, -1, 5, 2, 3, 9, 8, 9, 3, 2, 1, 4, -1, 2, -1, 9, 1, 1, -1, 5, -1, -1, 3, 4, -1, 2, 8, 13, 7, 8, 9, 8, 4, 8, 3, 3, 3, 8, 13, 8, 7, 3, 4, 8, 7, 6, 6, 8, 4, 4, 8, 1, 2, 3, 3, 1, 2, 9, 3, 2, 8, 9, 2, 8, 10, 6, -1, 3, 3, 7, 5, 6, 5, 5, 9, 4, 11, 1, 7, 8, 3, 4, 1, 8, 2, 2, 1, 7, -1, 12, 6, 7, 4, 4, -1, 5, 3, 9, 11, 4, -1, 3, 8, 3, 5, 1, 4, 3, 1, 12, 8, 2, 3, 7, 2, 4, -1, 3, 5, 4, 5, 1, 4, 4, -1, 5, 5, 2, 11, -1, 2, 1, 3, 7, 2, 3, 5, 5, 3, 1, 5, 8, 5, 3, -1, 2, -1, 2, 3, 8, 4, 4, -1, 3, 2, 1, 9, 1, 1, 7, 8, 5, 6, 3, 3, 6, 4, 6, 6, 5, 3, 3, 7, 11, 2, 3, 5, 4, 1, 7, 1, 3, 5, 2, 4, 5, 3, 3, 4, -1, 3, 5, 8, 8, 3, 3, 7, 2, 3, 6, 3, 3, 4, 6, 2, -1, -1, 6, 5, 2, 7, 2, 4, 2, 9, 3, 7, 7, 2, 1, 2, 1, 4, 2, 7, 6, 5, 2, 6, 5, 1, 3, 2, 9, 4, 9, 4, 4, 7, 8, 3, 2, 13, 3, 1, 7, 5, 3, 6, 8, 1, 5, 2, 2, 2, 3, 2, -1, 2, 1, 7, 4, 2, 2, 1, 1, -1, 4, -1, -1, 4, 1, 4, 4, 2, 1, 2, 2, 8, 3, 6, 5, 8, 3, 8, 3, 5, -1, 9, 5, 3, 2, 4, 5, 3, 1, 2, 1, 7, 3, 1, 2, 10, 5, 2, 8, 1, 2, 5, 3, 4, 7, 5, 3, 1, 2, 4, 1, 4, 6, 4, -1, 8, 3, 6, 2, 7, 9, 2, 5, 4, 3, 3, 4, 4, 2, 6, 7, 5, 3, 5, 5, 8, 1, 9, 4, 4, 4, 3, 2, 3, 7, 3, 5, 3, 5, 5, 5, 3, 3, 5, 3, 6, 5, 3, 6, 2, -1, 1, 4, 6, 1, -1, 1, 5, 2, 8, 8, 7, 3, 4, 4, 3, 1, 1, 6, 8, 7, 1, -1, 9, 8, 5, 4, 2, 3, 3, 5, 2, 5, 7, 4, 3, 1, 8, 7, 2, 2, 4, 3, 7, 3, 4, 4, 4, -1, 2, 2, 3, 5, 7, 3, 1, 7, 1, 6, -1, 4, 7, 13, 3, 4, 4, 2, 5, 1, 3, 3, 6, 4, 3, 4, 5, 2, 6, -1, 5, 4, 4, 5, -1, 4, 1, 9, 2, 5, 4, 6, 4, -1, 2, 4, 3, 4, 2, 3, 6, 9, 3, 3, 8, 4, 6, -1, 5, 3, 8, 5, 4, 4, 5, 2, -1, -1, 9, 4, 4, 2, 1, 1, 2, 7, 4, 4, 7, 5, 4, 6, 3, 6, 6, 3, 1, 5, -1, 4, -1, 5, 4, 5, 4, 12, 7, -1, 4, 7, 7, 8, 7, -1, 1, 8, 6, 7, 6, 5, 5, 3, 7, 6, 1, 5, 6, 8, 3, 3, 6, 6, 5, 8, 6, 3, 7, 8, 4, 2, 3, 5, 4, -1, 8, 5, 1, 6, 4, 7, 6, 12, 5, 4, 5, 1, 5, 7, 3, 6, 6, 3, 1, 2, 8, 2, 7, 6, 8, 7, 2, 5, 1, 7, 8, 5, 6, 8, 5, -1, 3, 1, 1, 4, 7, 7, 7, 1, 4, 5, -1, 4, 9, 2, 1, -1, 1, 2, 7, 3, 9, 6, 2, 4, 7, 7, 6, 2, 1, 7, 2, 1, 9, 1, 7, 4, 4, 3, 6, 7, 4, 8, 7, 4, 9, 3, 4, 2, 3, 6, 7, 2, -1, 3, 6, 5, -1, 3, 2, 7, 1, 5, 6, 6, 7, 5, -1, -1, 5, 5, 5, 4, 4, 7, 1, 5, 1, 2, 8, 2, 7, 5, 1, 7, 7, 3, 6, 8, 8, 3, 1, 3, 4, 7, 6, 4, 1, 3, 1, 6, 3, 1, 1, 6, 5, 5, 4, 8, 7, 1, 5, 3, 9, -1, 8, -1, -1, 8, 2, 2, 6, 2, 6, -1, 4, 4, 7, 5, 5, 6, 8, 10, 6, -1, 7, 2, 2, 7, 10, 4, 7, 1, 2, 8, 8, 6, 7, 3, 2, 6, 6, 4, 2, -1, 2, 1, 4, 6, 8, 6, 6, 1, 2, 1, 4, 1, 2, 5, -1, 7, 4, 6, 6, 1, 7, 5, 6, 4, 8, 4, 6, 6, 5, 2, 9, 7, 4, 1, 1, 5, 3, 4, 4, -1, 3, -1, 7, 3, 3, 2, 7, 6, 10, 4, 8, 5, 1, 7, 6, 7, 5, 5, 5, 6, 7, 3, 7, 3, 7, 6, 1, -1, 3, -1, 7, 1, 9, 6, 4, 1, 4, 3, 3, 6, 3, 4, 1, 2, 7, 8, 6, 4, 1, 4, 3, 3, 5, 6, 3, -1, 2, 3, 7, 2, 1, -1, 3, 4, 7, 1, 2, 3, 6, 9, 2, 4, 4, 8, 6, 7, -1, 6, 6, 6, 8, 4, 9, 6, 7, 6, 7, 8, 3, 3, 7, 1, 7, 4, 3, 8, 3, -1, 2, 8, 5, 7, 1, 5, 6, 8, 7, 3, 7, 2, 2, 4, 3, 1, 2, -1, 4, 2, 7, 5]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(can_arrange)
print('___SENTINEL___')
| 37fed5e2b578690d7acd34170a275abe |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-4
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-04, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[[1, 2, 4, 3, 5]], [[1, 2, 3]]]
results = [3, -1]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(can_arrange)
print('___SENTINEL___')
| 6636198e2350f63b33692ea7e271bfd9 |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-6
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-07, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[[2, 4, 1, 3, 5, 7]], [[2, 4, 1, 3, 5, 7, 0]], [[1, 3, 2, 4, 5, 6, -2]], [[4, 5, 3, 6, 2, 7, -7]], [[7, 3, 8, 4, 9, 2, 5, -9]], [[]], [[0]], [[-1, -3, -5, -6]], [[-1, -3, -5, -6, 0]], [[-6, -4, -4, -3, 1]], [[-6, -4, -4, -3, -100, 1]], [[9, -4, -6, 5, 0, -2]], [[1, 1, 1, 1, 1, 1]], [[-2, -2, -2, 3, 3, 3]], [[-10, 0, 10, -20, 30]], [[0, 0, 0, 0, 1, -1]], [[1, 2, 3, -3, -2, -1]], [[1, 2, 3, 4, 5]], [[-1, -2, -3, -4, -5]], [[0, -1, 2, 3, -4, 5, -6]], [[1, 3, -5, -7, 2, -4, 6]], [[-5, -10, 0, 10, -20, 30]], [[1, 1, 0, 1, 1, 1, 1]], [[0, 0, 0, 0, 1, -1, 0, -1]], [[9, -4, -6, 5, 0, -2, 9]], [[1, 2, 3, 5]], [[1, 2, 3, -3, 9, -1]], [[-10, 0, 30, 10, 30]], [[9, -4, -6, 5, 0, -6, -2, 9]], [[1, 1, 0, 1, -2, 1, 1]], [[-10, 0, 10, -7, 30]], [[-5, -10, 1, 10, 30]], [[1, 0, 1, -2, 1]], [[-10, 1, 10, 30]], [[0, 0, 0, 1, -1]], [[-1, 1, -2, 1]], [[-2, -2, 3, 3, 3]], [[3, -1, -2, -3, -4, -5]], [[1, 1, 1, 1, 1]], [[3, 10, -20, 30]], [[1, 2, 2, 5]], [[-1, 1, 1, 1]], [[2, 3, 5]], [[2, 2, 6]], [[-10, 6, 0, 30, 10, 30, 30]], [[0, 0, 0, 1, 0, 1, -1]], [[2, 5, 2]], [[0, 3, -5, -7, 2, -4, 6]], [[1, 2, 3, 3, 4, 5]], [[0, 5, -1, 2, 3, -4, 5, -6]], [[3, -1, -3, -4, -5]], [[-2, -3, -4, -5, -4]], [[0, 0, 0, 1, -1, 1]], [[1, 2, 2, 5, -5, 1]], [[1, 2, -5, 5]], [[-7, 2, -4, 5]], [[0, 0, 0, 1, -2, 0, 1, -1]], [[0, -2, 0, 1, -2, 1, 3]], [[0, -1, 3, -4, 5, -6]], [[0, 0, 0, -2]], [[1, 1, 1, 3, 6, 1, 1]], [[-10, 3, 6, 0, 30, 10, 30, -1, 30, 30]], [[3, 10, -20, -6]], [[-5, -10, 0, 10, 30, -5]], [[2, 3, 4]], [[1, 1, 2, 1, -1, 1, -6]], [[-5, -10, 6, -4, -20, -10]], [[-4, -4, -1, 3, -4, 5, -6, -4]], [[2, 5, 2, 6]], [[1, 1, 2, -5]], [[0, -7, -1, 2, 3, -4, 5, -6]], [[1, 1, 1, -1, 1, -6]], [[1, 2, 2, 5, 1, 5]], [[0, 0, 0, 1, -1, -1, 5]], [[0, -2, 0, -2, 0]], [[-4, -4, -1, 3, -4, 5, -7, -4]], [[1, 2, 1, -1, 1, -6, -1]], [[3, -3, -4, 10, -5]], [[3, 10, 30]], [[0, 0, 0, 1, 0, 1, -1, 0, -1]], [[2, 3]], [[9, -6, 5, 0, -6, -2, 9]], [[0, 0, 0, 0, 0, 1, -1, -1]], [[1, 2, -5]], [[0, 0, 0, 1, 0, -1]], [[1, 3, -5, -5, 2, -4, 6]], [[0, 0, 0, 1, -2, 0, 1, 2, -1, 0]], [[4, 3, 10, 30]], [[-1, -6, 3, 4]], [[-10, 3, 6, 0, 30, 10, 30, -1, 30, 30, 30]], [[2, 1, 3, 9, -7, 2, -4, 6]], [[3, -1, -3, -4, -5, -3]], [[3, -2, -1, -2, -3, -4, -5, -2]], [[3, 2, -2, -2, -3, -4, -6, -5, -2]], [[2, 5, 6]], [[1, 0, 1, 9, 1]], [[-1, 30, 3, 4]], [[1, 0, 1, 2, 1, -1, 1, -6]], [[-2, 3, 3, 3]], [[-4, -1, 3, -4, 5, -7, 1]], [[3, 9, 30]], [[-2, -3, -4, -5, -4, -3]], [[-1, -10, -10, 1, 10, 30, 1]], [[1, 2, 5, -5, 1]], [[0, 0, 0, 0, -5, -1]], [[1, 1, 1, -1, 1, -6, 1]], [[1, 2, 1, 1, 1, 1, 1]], [[0, -1, 2, 3, 5, -6, 5]], [[1, 2, 1, 2, 1, 1, 1]], [[0, -1, 5, -3, 7, -9, 10, -15, 20]], [[-20, 5, 10, -5, 15, 11, -8, -2, -15]], [[2, 4, 6, -8, -10, 1, -3, -5]], [[0, 0, -1, -3, -7, 2, 4, 6]], [[1, 2, 3, 4, 5, 6, 7, -2, -4, -6]], [[-10, -15, -20, 10, 5, 0]], [[0, 0, -1, 2, 1, -2, 0, 0, 2]], [[-2, -4, -6, -4, -10, -8, 0, -1]], [[1, 3, -5, 7, 9, -8, -7, -9, 5]], [[-10, -2, 0, 2, 8, 10, 15]], [[6, 1, 3, -5, 7, 9, -8, -7, -9, 5]], [[-10, -2, 0, 2, -6, 8, 10, 15]], [[0, 0, -3, -7, 2, 4, 6]], [[-10, -20, 10, 5, 0]], [[0, 0, -1, -3, -7, -2, 4, 6, -2]], [[0, 0, -1, 3, -8, 2, 1, -2, 0, 0, 2]], [[-19, 5, 10, -5, 4, 15, 11, -8, -2, -15]], [[-1, 5, -3, 7, -9, 10, -15, 20]], [[1, -5, 20, 9, -8, -7, 5]], [[0, 0, -1, -3, -7, 2, 4, -7]], [[-19, 5, 10, -5, 4, 15, 11, -8, -2, 11, -15]], [[-20, 5, 10, -5, 15, 11, -8, 14, -2, -15]], [[0, -1, 5, -3, 7, -9, 10, -15, 20, -3]], [[0, 0, -1, 3, -3, 2, 4, 6]], [[1, 2, 3, 4, 5, 6, 7, -2, -4, -6, 5]], [[0, 0, -1, 3, -8, 2, 1, -2, 0, 0, 2, 2]], [[1, -5, 9, -8, -7, 5, 1]], [[-10, -20, 10, 5, 0, 10]], [[0, 0, -1, 3, 2, 1, -2, 0, 0, 2, 2]], [[0, -19, -1, 7, -3, -7, 2, 4, -7]], [[0, 0, -1, 3, 2, 3, 1, 10, -2, 0, 0, 2]], [[6, 1, 3, -5, 7, 9, -8, -7, 5]], [[6, 1, 3, -5, 7, 8, -8, -7, 5]], [[0, 0, -1, -3, -7, 4, 6, -2]], [[1, 9, -8, -7, -7, 5, 1]], [[1, 3, -5, 1, 7, 9, -8, -7, -9, 5]], [[0, -1, 5, -3, 7, -9, 10, 20, -15, 20]], [[-20, 6, 10, -5, 15, 11, -8, -2, -15]], [[-10, -2, 0, 2, -6, 8, 10, 15, 0]], [[-10, -2, 0, 2, -6, 8, 10, 15, 1]], [[6, 1, 3, -5, 4, 9, -8, -7, 5]], [[-10, 10, 0]], [[-10, -20, -20, 10, 0]], [[0, 0, -1, 2, 3, 20, -2, 0, 0, 2]], [[-10, -2, 0, 2, 8, 10, 15, 15]], [[-1, 5, -3, 7, -9, 11, -15, 20, 5]], [[2, 3, 4, 5, 6, 7, -2, -4, -6]], [[-10, -15, -20, 10, 5, 0, -15, -15]], [[1, 2, 3, 10, 20, 6, 7, -2, -4, -6, 7]], [[0, 0, -1, 3, 2, 3, 1, 10, -2, 0, 0, 2, -1]], [[0, 0, -1, 2, 3, 20, -2, 0, -7, 0, 2]], [[0, 0, -1, 2, 3, 20, -2, 0, -7, 0, 3]], [[0, 0, -1, -3, -7, -2, 4, -2, 0]], [[9, -7, -7, 5, 1]], [[0, 0, -1, -3, -7, -2, -7, -2, 0]], [[-10, -20, 10, 5, 0, -20]], [[-15, -10, -2, 0, 2, 8, 10, 15]], [[-10, -2, 0, 2, -6, 2, 10, 15]], [[6, 3, -5, 7, 8, -8, -7, 5, 6]], [[-19, 5, 10, -5, 4, 15, 12, -8, -2, -15]], [[0, 0, -1, 2, 3, 20, -2, 0, -7, 0, 3, 3, 3]], [[1, 3, -5, 7, 9, -8, -7, 5]], [[0, 0, -1, 3, -3, 6, 4, 6, 2]], [[1, 3, -5, 1, 7, 9, 2, -7, -9, 5]], [[0, 0, -1, 3, -8, 2, 1, -2, 0, -8, 2, 2]], [[2, 4, 6, -8, -10, 1, -3, -5, 2]], [[0, -1, 5, -3, 7, -9, 10, 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[[3, 2, 4, 6, -8, -10, 1, -3, -5, 3, -10]], [[2, -1, -1, 2, 1, -2, 0, 0, 2, 0, 0]], [[1, 2, 3, 5, -1, 6, 7, -2, -4, -6]], [[0, 2, -1, -1, 2, 1, 15, -2, -1, 0, 8, 16, 0]], [[-6, 0, 0, -1, 2, 1, 2, -2, 0, 0, 2]], [[3, 2, 4, 6, -8, -10, 1, -4, -5, 3]], [[1, 2, -6, 3, 5, -8, 6, 7, 16, -6]], [[0, 2, 1, -1, -1, 2, 1, -2, 0, 2, 0, 0, 0, -7, -7]], [[0, 2, -1, -1, 2, -2, 0, 0, 2, -3]], [[0, -1, -1, 2, 1, -2, -1, 0, 8, 2, 0, 1]], [[-10, -15, -20, 4, 10, 0]], [[-10, -15, -20, 10, 5, -20, 0, 0]], [[-20, 0, 10, -5, 15, 11, 0, -8, -2, -15]], [[0, 2, -1, -1, 2, 1, 8, -2, 0, -7, 2, 2, 0, 0, 3, 0, -7, 0]], [[-20, 5, -5, 15, 11, 4, -2, -15, -20, -20]], [[-20, 0, -5, -20, 15, 11, -2, -15, -20]], [[3, 2, 4, 6, -8, -7, -10, 1, -3, -5, -4, 3, -10, -8]], [[0, 5, 6, -3, 7, -9, 10, -15, 6, 20, 20]], [[0, 0, -1, 2, 1, 2, -2, 0, 8, 2]], [[0, 2, -1, -1, 2, 1, -2, -1, 0, 8, 2, 0, 1, 0]], [[0, 2, -1, -1, 2, 1, 8, -2, 0, -7, 2, 2, 0, 0, -7, -7, -7]], [[2, 5, 6, -10, 1, -3, -5, 20]], [[2, -1, -1, 2, 1, -2, 0, 2, 0, 0]], [[0, 2, -1, -1, 2, 2, 1, -2, 0, -7, 2, 0, 0, -7]], [[-20, 5, 10, -5, 15, 11, -8, -2, 4, -15]], [[3, 2, 4, 6, -8, -10, 1, -3, -5, 3, -8]], [[-10, -15, -20, -15, 10, 5, 0]], [[7, 1, 3, -20, 7, 9, -8, -6, -9, 5, -8]], [[-1, -1, 2, 1, -2, 0, 0, 2, 0, 0]], [[0, 0, -1, 2, 1, 2, -2, 0, 0, 2, 0, 2]], [[0, -1, 2, -1, -1, 2, 1, -2, -1, 0, 8, 2, 0, 0]], [[0, 0, -1, 2, 1, 2, -2, 0, 0, 2, 0, 2, 2]], [[0, -1, 5, -3, 7, -9, 10, -15, 2]], [[2, 4, 1, 6, -8, -9, -6, -3]], [[3, 2, 4, 6, -8, -10, 1, -3, -5, 3, 3]], [[2, 4, 6, -8, -10, -2, 1, -3]], [[-7, -10, -15, -20, 10, 5, -20, 0, 0, -15]], [[-2, -4, -6, 0, -4, -10, 0, -1, -10, -10]], [[2, 4, 6, -10, 1, -3, -5, 0]], [[0, 2, -1, -1, 2, 1, 8, -2, 0, -7, 2, 2, 0, 0, -7, -7, 0]], [[1, 2, -6, 3, 5, -8, 6, -2, 16, -6]], [[3, 2, 4, 6, -8, -7, -10, 1, -3, -5, -4, 3, -8]], [[2, 4, 6, -8, 4, 1, -3, -5, 4]], [[3, 2, 4, 6, -8, -10, 1, -3, -5, 3, 3, 0, 3]], [[-6, 0, -1, 2, 1, 2, -2, 0, 0, 2]], [[0, 2, -1, -1, 2, 1, 8, -2, -95, 0, -7, 2, 2, 0, 0, 0, -7, 0, 8]], 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-15, -20, -20, -5]], [[-10, -15, -20, 10, 5, 0, 0, -20, -10]], [[2, 4, 6, -8, -10, -2, 1, -3, 6, -2]], [[3, 2, 4, 6, -8, -10, 20, -3, -5, 3, 3, 0, 3]], [[2, -1, -1, 2, 1, 0, 0, 2, 0, 0]], [[0, 2, -1, -1, 2, 1, 8, -2, 0, -7, 2, 2, 0, 0, 0, -7, 0]], [[0, 0, -1, 1, 2, 1, 2, -2, 0, 0, 2, 0, 2, 2]], [[3, 2, 4, 6, -11, -10, 2, -3, -5, 3, 2]], [[0, -1, 5, -3, 7, -9, 10, -15, -16, 2]], [[0, 0, -1, 2, 1, 2, -2, -1, 0, 2, 0, 2]], [[-20, 5, 10, -5, 15, 11, -8, -2, -15, 14]], [[2, 5, 5, 6, 6, -10, 1, -3, -5]], [[0, -1, 2, 1, -2, -1, 0, 8, 2, 0, 1]], [[2, 4, -8, -10, 1, -3, -5, -4, 3, -8, -3, -3]], [[1, 2, 10, 3, 5, -8, 6, -2, -6, 6, 1]], [[0, 2, -1, -1, 2, 1, -2, 0, -7, 2, 0, 0, 0, -11, -7]], [[-20, 0, 10, -5, 15, 11, 0, -4, -2, -15]], [[-2, -4, -6, 0, -4, -10, 0, -1, -10, -10, 0]], [[0, -1, 2, -1, -1, -1, 2, 1, -2, -1, 0, 8, 2, 0, 0]], [[2, 4, 6, -8, 4, 1, -3, -5, 4, -3, 6]], [[-20, 5, 10, -5, 15, 11, -8, -2, 4, -15, -20]], [[0, 5, 6, -3, 7, -9, -4, 10, -15, 6, 20, 20]], [[0, -1, -10, 5, -3, -9, 10, -15]], [[3, 2, 4, 6, -11, -10, 2, -5, 3, 2]], [[0, -1, -10, 5, -3, 10, -15]], [[2, 5, 5, 6, 6, 3, -10, 1, -3, -5]], [[3, 2, 4, 6, -9, -10, 1, -4, -5, 3]], [[1, 2, 10, 3, 5, -8, 6, -2, -6, 6, 1, 6]], [[0, 2, -1, 2, 1, 15, -2, -1, 0, 8, 16, 0, 0, -1]], [[2, 4, 6, -8, -10, 1, -3, -5, 1]], [[-20, 5, -5, -4, 15, 20, 11, -8, -2, -15, -20]], [[-2, -4, -6, 16, -4, -10, 0, -1, -4]], [[2, -1, -1, 2, 1, -2, 0, 9, 0, 2, 0, 0]], [[-15, -20, 5, -20, 0]], [[-2, -4, -6, -20, -4, -10, -2, 0, -1, -6]], [[1, 5, -5, -4, 15, 11, -8, -2, -15, -20, 3]], [[5, 6, -3, 7, -9, -4, 10, -15, 6, 20, 20]], [[2, 4, 6, -10, -2, 1, -3]], [[2, 5, -6, 15, 6, 3, 1, -3, -5, 6]], [[3, 2, 4, 6, -8, -10, 1, -5, -5, 3]], [[1, 9, 2, 10, 10, 3, 5, -8, 6, -2, -6, 6, -4, 1]], [[2, 2, 4, 6, -8, 3, -10, 1, -3, 15, 3, 3, 0, 3, 4]], [[4, 6, -10, -3, -5, -5]], [[7, 1, -10, 3, -20, 7, 9, -8, -6, -11, -9, 5, -8]], [[2, 5, 6, -10, 1, -15, 20, -3, -5, 20]], [[0, -1, -3, 7, -9, 10, -15, 20]], [[2, 5, 6, -10, -19, -15, 20, -3, -5, 20]], 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4, 6, -8, -10, 1, -5, -5, 3, -5]], [[5, 6, -3, -2, 7, -9, -4, 10, -15, 6, 20, 20]], [[5, 6, -3, -2, 7, -9, 2, -4, 10, -15, 6, 20, 20, 6]], [[-2, 2, 5, 5, 6, 4, -10, 1, -3, -5, 6]], [[1, 9, 2, -16, 10, 3, 6, -8, 5, -2, -6, 6, -4, 1]], [[0, 0, 2, -1, 2, 1, 2, -2, 0, 0, 2]], [[0, 2, -1, -1, 2, 1, 8, -2, 0, -7, 2, 2, 0, 0, 0, -7, 1]], [[3, 2, 4, 6, -8, -10, 1, -3, -5, 3, 6, 3, 3]], [[2, -1, -1, -95, 2, 1, 0, 0, 2, 0, 0]], [[2, 4, -8, -7, -10, 1, -3, -1, -4, 3, -8, -3, -3]], [[-20, 0, -5, -20, 15, 11, -2, -15, -20, -20]], [[0, -1, -1, 2, 1, -2, 0, -1, 0, 8, 2, 0, 1, 1]], [[-2, -4, -6, -4, -10, -9, 0, -1, -6]], [[0, 2, -1, -1, 2, 1, 8, -2, 0, -7, 2, 2, 0, 0, 3, 0, -7, 0, 0]], [[2, 5, 6, -10, 1, -15, 20, -3, -5, 20, -15]], [[2, 4, 6, -10, 1, -3, 9, 1]], [[3, 2, 6, -8, -7, -10, 1, -3, -5, -4, 3, -10, -8]], [[0, -1, -1, 1, 8, -2, 0, -7, 2, 2, 0, 7, 0, 0, -7, -7, -7, 0]], [[0, -2, -1, 5, -3, 7, -2]], [[0, 5, -3, 7, 10, -15, -16, 2]], [[2, 5, 6, -10, 1, -15, 20, -3, -5, 20, 8, -15]], [[2, 4, 1, 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-6, 0, -4, -10, -10, 0, -1, -10, -10, 0]], [[0, -1, 5, -3, 7, -9, 10, -15, -16, 2, 0]], [[2, 4, 6, -10, 1, -3, 9, 85, 1]], [[3, 2, 4, 6, -8, -10, 1, -3, -5, 3, 6, 3, 3, 3]], [[0, 2, -1, -1, 2, 1, 8, -2, -95, 0, -7, 2, 2, 0, 0, 0, -7, 0, 8, 2]], [[-20, 5, 10, -5, 16, -4, 15, 12, -8, -2, -15]], [[0, 0, -1, 1, -2, 0, 0, 2, 0, -5, 85, 2]], [[2, 2, 4, 6, -8, 3, 1, -3, 15, 3, 3, 0, 3, 4]], [[2, -1, 2, 1, -2, 0, -4, 0, 2, 0, 0]], [[0, 5, 6, 7, 7, -9, 10, -15, 6, 20, 20]], [[1, 3, -5, 7, 9, 3, -8, -7, -9, 5]], [[0, 2, -1, -1, 2, 0, 0, 2, -3]], [[-1, -1, 2, 1, -2, -1, 0, 0, 2, 0, 0]], [[0, -3, 7, 10, -15, -16, 2]], [[0, 5, -3, -9, 10, -15, 20]], [[-20, 5, 10, -5, 16, -4, 15, 12, -8, -2, -15, -5]], [[3, -95, 6, -8, -7, -10, 1, -3, -5, -4, 3, -10, -8, -6, -8]], [[0, -2, -1, 5, -3, 7, 10, -15, -1]], [[2, -8, -1, 2, 0, 0, 2, -1, -1, -1]], [[-2, -4, -6, 16, -4, -10, 0, -1, -4, -1]], [[3, 2, 6, -8, 1, -3, -5, -4, 3, -10, -8]], [[-20, 5, -5, -4, 11, -8, -2, -15, -20]], [[1, 9, 2, 10, 10, 3, -10, -8, 5, -2, -6, 6, -4, 1]], [[-10, -15, -20, -9, 4, 10, 0, 10, 10]], [[1, 2, 10, 3, 5, -8, 6, -2, -20, -6, 6]], [[0, 2, -1, 2, 1, -2, 0, 0, 8, 2, 0]], [[2, -11, 4, -8, -10, 1, 8]], [[-20, 5, 10, -5, 16, -4, 15, 12, -8, -2, -15, -5, 10]], [[0, 5, -3, 7, 10, -15, -16, 2, -16]], [[2, -1, -1, 2, 1, -2, 0, 0, 2, 0, 0, -2]], [[1, 2, 3, 5, 6, 7, -2, -3, -6, -6]], [[2, 6, -10, 1, -3, -5, -3]], [[-9, -10, -15, -20, 4, 0]], [[3, 16, 2, 4, 6, -8, -10, 1, -3, -5, 3, 3, 3, 4, -8]], [[3, 2, 6, -8, 1, -3, -5, -4, 3, -10, -4]], [[3, 2, 4, 6, -8, -10, 0, -3, -5, 3, 3]], [[2, -1, -1, 2, 1, -2, 0, 2, 0, 0, 0, 0]], [[-10, -15, -20, 10, 5, 0, 0, -20, 4, -10]], [[0, -1, 2, -1, -1, 2, 1, -2, -1, 0, 8, 2]], [[-1, -10, -16, -20, 4, 0]], [[-20, 5, 10, -4, -4, 16, 15, 11, -8, -2, 15]], [[0, 0, -1, 85, 1, 2, -3, 0, 0, 2]], [[1, -5, 7, 9, -8, -7, -9, 5, -9, 1]], [[-6, 0, 2, 2, 2, -2, 0, 0, 2]], [[2, 5, 6, -10, 1, -9, -3, -5, 1, -10, -10]], [[2, 7, 1, 3, -5, 7, 9, -7, -7, -9, -4, 5]], [[-20, 5, 10, -5, 16, -4, 15, 12, -8, -2, -15, -15]], [[0, -2, -1, 11, 5, -3, 7, 10, -15, -1]], [[-15, -20, 10, 5, -20, -19, 0]], [[0, 0, -4, -1, 2, 1, 2, -2, 0, 0, 2]], [[-15, 85, 0, 0, -1, 2, 1, 2, -1, 0, 0, 2]], [[0, -1, 4, -3, 7, -9, 20, -3]], [[1, -11, 4, 6, -8, -10, 1, 8]], [[1, 2, 10, 10, 3, 5, -8, 5, -2, -6, 6, -4, 1]], [[2, 2, 4, -8, -10, 1]], [[0, 2, 0, -1, -1, 2, 1, 8, -2, -95, 0, -7, 2, 2, 0, 0, 0, 0, -7, 0, 8, -1, 8]], [[-1, -1, 2, 1, -2, -1, 0, 2, 0, 0]], [[3, 2, 4, 6, 2, 7, -10, 1, -3, -5, 3, 3]], [[0, -1, -1, 1, 8, 0, -7, 2, 2, 0, 7, 0, -7, -7, -7]], [[7, 1, 7, -20, 7, 9, -6, -9, 5, -8]], [[3, 2, -9, -8, -7, -10, 1, -3, -5, -4, 3, -10, -8]], [[2, 6, 1, 6, 2, -9, -6, -3, -5, -5, -9, -6]], [[2, 4, 6, -11, 4, 1, 3, -5, 4, -3, 6]], [[0, 5, 6, -3, 7, -9, -4, 10, -15, 6, 20, 20, -3]], [[0, 3, 0, -1, 2, 1, 2, -2, 0, 0, 2, 0, 2, 2, 4, 0, 2]], [[0, 2, -1, -1, 2, 0, 0, 1, -3]], [[1, 2, 10, 3, -8, 6, -2, -6, 6, 1]], [[-20, 5, -5, -4, 15, 11, -8, -2, -15, -20, -20, 5]], [[2, 4, 1, 6, -8, -8, -9, -6, -3, -5]], [[2, 4, 6, -10, -2, -3]], [[1, 2, 10, 10, 3, 5, -8, 5, -2, -6, 6, -4]], [[9, -20, 5, 10, -5, 15, -6, 11, 1, 11, -8, -2, 4, -15, -15]], [[-20, 5, 10, -5, 16, -4, 15, -8, -8, -2, -15, -5]], [[3, 2, 4, 6, -8, 1, 6, -3, -5, 3, -8]], [[2, 2, 4, 6, -8, 3, -10, -3, 15, 3, 3, 0, 3, 4, 4]], [[0, -1, 5, -3, 7, -9, 10, -15, -16, 2, -16]], [[2, -20, 5, -6, 15, 6, 11, 3, 1, -3, -5, 6]], [[3, 2, 4, 6, -8, -10, 1, -3, -5, 3, 3, 0, 3, 2]], [[0, -2, 0, -1, 5, -3, 7, -2]], [[-2, -4, -6, -4, -10, 0, -1, -4]], [[-1, -4, -6, 16, -4, -10, 0, -1, 0]], [[2, 2, 6, -8, 3, 0, -3, 15, 3, 3, 0, 3, 4]], [[3, 0, 2, 3, 6, -8, 1, 6, -3, -5, 3, -8]], [[20, -20, 5, -20, 0]], [[0, -1, 5, -3, -9, 10, -15]], [[1, 9, 2, 10, 10, 3, 5, -8, 7, -2, -6, 6, -4, 0, 1, -2]], [[2, 7, 1, 3, -5, 9, -8, -7, -9, -4, 5]], [[-2, -4, -6, -4, -10, -8, 0, -1, -6, -8]], [[20, -6, 16, -4, -10, 0, -1, 16, -4, -1]], [[0, 0, -1, 2, 1, 2, -2, -1, 0, 2, 1]], [[0, 5, -3, 7, -9, 10, -15, 7, 20]], [[0, 2, -1, -1, 2, 0, 6, 2]], [[2, 11, 6, -10, 1, -3, -5, 10, 1]], [[20, 7, 5, 0]], [[0, 3, -1, -1, 2, 0, 0, 2]], [[0, 5, 6, 7, 7, -9, 10, -15, -8, 6, 20, 20, -15]], [[-1, 2, -1, 2, -4, 0, 2]], [[0, 2, -1, -1, 2, 1, 8, -2, -95, 15, 0, -7, 2, 2, 0, 0, 0, -7, 0, 7, 8, -2]], [[-2, -3, -6, 16, -4, -10, 0, -1, -4]], [[2, 4, -8, -8, -10, -2, 1, -3, 6, -2]], [[0, 5, 7, -9, 10, -15, 4, 7, 20]], [[3, 2, 4, 6, 2, 7, -10, 1, -3, -5, 3, -8]], [[2, 4, 6, -10, 1, -3, 5, -5, 2]], [[0, 0, -1, 2, 1, 2, -2, 0, 3, 8, 2]], [[2, 4, 6, -8, -7, -10, 1, -3, -5, -4, -8, -3, -3]], [[-2, -4, -4, -10, -8, 0, -1, -6]], [[1, 2, 3, -3, 5, -8, 6, -2, 16, 6, 1]], [[0, -4, 0, -1, -1, 2, -2, -16, 0, 2, 0, -4]], [[0, 2, -1, -1, 2, 1, -2, 0, 0, 8, 2, 0, 2]], [[0, 2, -1, 2, -2, 0, 0, 8, 2, 0, 2]], [[-20, -20, 0, -5, -20, 15, 11, -2, -15, -20, -20, -20]], [[0, -1, 2, -1, -1, 2, 1, -2, -1, 0, 8, 2, 1, 0]], [[0, 0, -1, 9, 1, 2, -2, 0, 3, 8, 2]], [[3, 2, 6, -8, -8, -7, 1, -3, -5, -4, 3, -10, -8]], [[0, 2, -1, -1, 2, 1, 8, -2, 0, -7, -1, 2, 2, 0, 0, 0, -7, 0]], [[-20, 0, -5, -2, 5, 15, 11, -2, -15, -20]], [[-2, -4, -6, -4, -10, -8, 0, -1, -8, -8]], [[2, 2, 4, 6, -8, -10, 1, -3, 6]], [[1, 5, -5, -4, 15, 11, -8, -2, -15, -20, 1]], [[-2, -4, -6, -4, -10, -8, 0, -1, -8, -8, -8]], [[0, -1, -1, 1, -4, 8, -2, 0, -7, 2, 2, 0, 7, 0, 0, -7, -7, 1, -7, 0]], [[4, 1, 6, -8, -9, -6, -3, -5]], [[0, 2, -1, 2, -2, 0, 0, 8, 2, 0, 2, 0]], [[1, 2, 3, 5, -1, 7, -2, -4, -6]], [[1, 5, -5, -4, 15, 11, -8, 10, -2, -15, -20, -15]], [[-20, 5, 10, -5, 15, 11, -8, -2, 4, 85, -15]], [[-20, 5, 10, -6, 15, 11, -8, -2, 4, -15, -20, 5]], [[0, -4, 0, -1, -1, 2, -2, -16, 0, 2, 0, -4, -4]], [[0, 0, -1, -95, 1, 2, -2, 0, 3, 8, 2]], [[-20, 5, 10, -5, -4, 15, 11, -8, -5, -15]]]
results = [(None, 1), (None, 1), (-2, 1), (-7, 2), (-9, 2), (None, None), (None, None), (-1, None), (-1, None), (-3, 1), (-3, 1), (-2, 5), (None, 1), (-2, 3), (-10, 10), (-1, 1), (-1, 1), (None, 1), (-1, None), (-1, 2), (-4, 1), (-5, 10), (None, 1), (-1, 1), (-2, 5), (None, 1), (-1, 1), (-10, 10), (-2, 5), (-2, 1), (-7, 10), (-5, 1), (-2, 1), (-10, 1), (-1, 1), (-1, 1), (-2, 3), (-1, 3), (None, 1), (-20, 3), (None, 1), (-1, 1), (None, 2), (None, 2), (-10, 6), (-1, 1), (None, 2), (-4, 2), (None, 1), (-1, 2), (-1, 3), (-2, None), (-1, 1), (-5, 1), (-5, 1), (-4, 2), (-1, 1), (-2, 1), (-1, 3), (-2, None), (None, 1), (-1, 3), (-6, 3), (-5, 10), (None, 2), (-1, 1), (-4, 6), (-1, 3), (None, 2), (-5, 1), (-1, 2), (-1, 1), (None, 1), (-1, 1), (-2, None), (-1, 3), (-1, 1), (-3, 3), (None, 3), (-1, 1), (None, 2), (-2, 5), (-1, 1), (-5, 1), (-1, 1), (-4, 1), (-1, 1), (None, 3), (-1, 3), (-1, 3), (-4, 1), (-1, 3), (-1, 3), (-2, 2), (None, 2), (None, 1), (-1, 3), (-1, 1), (-2, 3), (-1, 1), (None, 3), (-2, None), (-1, 1), (-5, 1), (-1, None), (-1, 1), (None, 1), (-1, 2), (None, 1), (-1, 5), (-2, 5), (-3, 1), (-1, 2), (-2, 1), (-10, 5), (-1, 1), (-1, None), (-5, 1), (-2, 2), (-5, 1), (-2, 2), (-3, 2), (-10, 5), (-1, 4), (-1, 1), (-2, 4), (-1, 5), (-5, 1), (-1, 2), (-2, 4), (-2, 5), (-1, 5), (-1, 2), (-2, 1), (-1, 1), (-5, 1), (-10, 5), (-1, 1), (-1, 2), (-1, 1), (-5, 1), (-5, 1), (-1, 4), (-7, 1), (-5, 1), (-1, 5), (-2, 6), (-2, 2), (-2, 1), (-5, 1), (-10, 10), (-10, 10), (-1, 2), (-2, 2), (-1, 5), (-2, 2), (-10, 5), (-2, 1), (-1, 1), (-1, 2), (-1, 2), (-1, 4), (-7, 1), (-1, None), (-10, 5), (-2, 2), (-2, 2), (-5, 3), (-2, 4), (-1, 2), (-5, 1), (-1, 2), (-5, 1), (-1, 1), (-3, 1), (-1, 5), (-10, 10), (-2, 5), (-1, 1), (-2, 1), (-1, 1), (-3, 1), (-3, 1), (-2, 4), (-10, 10), (-2, 2), (-1, 1), (-1, None), (-10, 5), (-7, 1), (-10, 5), (-5, 3), (-2, 2), (-2, 1), (-2, 5), (-2, 5), (-10, 5), (-10, 10), (-7, 1), (-3, 1), (-10, 1), (-1, 2), (-1, 5), (-1, 4), (-10, 5), (-5, 3), (-5, 1), (-5, 1), (-2, 2), (-1, 1), (-1, 1), (-1, 2), (-3, 2), (-2, 4), (-3, 1), (-1, 2), (-2, 2), (-3, 5), (-2, 1), (-1, 1), (-2, 5), (-1, 2), (-3, 1), (-2, 1), (-5, 1), (-2, 4), (-1, 5), (-2, 4), (-5, 3), (-10, 5), (-5, 1), (-3, 1), (-1, 2), (-1, 5), (-5, 1), (-2, 1), (-2, 4), (-3, 2), (-1, 2), (-2, 2), (-5, 3), (-3, 1), (-10, 5), (-5, 1), (-3, 2), (-2, 1), (-3, 2), (-3, 1), (-1, 2), (-3, 1), (-4, 1), (-2, 2), (-1, 5), (-2, 10), (-2, 2), (None, 10), (-5, 1), (-1, 2), (None, 10), (-7, 1), (-5, 3), (-3, 2), (-2, 4), (-7, 1), (-1, 2), (-3, 1), (-1, 1), (-1, 1), (-2, 1), (-10, 4), (-1, 1), (-10, 5), (-3, 1), (-2, 1), (-2, 1), (-5, 5), (-2, 3), (-2, 1), (None, 1), (-1, 5), (-10, 10), (None, 10), (-3, 1), (-7, 1), (-10, 1), (-2, 4), (-5, 3), (-1, 4), (-1, 2), (-1, 2), (-2, 4), (-1, 1), (-10, 5), (-2, 4), (-5, 4), (-6, 1), (-2, 2), (-5, 1), (-1, 2), (-1, 2), (-10, 5), (-1, 3), (-5, 1), (-1, 4), (-1, 3), (-5, 5), (-5, 1), (-1, 1), (-1, 5), (-2, 1), (-1, 1), (-3, 1), (-1, 1), (-2, 4), (-1, 5), (-3, 1), (-1, 4), (-1, 2), (-7, 1), (-5, 3), (-7, 1), (-5, 1), (-10, 5), (-5, 1), (-10, 5), (-1, 5), (-7, 1), (-10, 5), (-2, 2), (-2, 2), (-1, 1), (-1, 5), (-1, 2), (-1, 3), (-5, 4), (-2, 5), (-1, 1), (-1, 1), (-1, 1), (-2, 2), (-2, 5), (-2, 1), (-10, 7), (-1, 1), (-1, 2), (-10, 1), (-2, 4), (-10, 5), (-1, 1), (-5, 1), (-1, 5), (-19, 5), (-2, 2), (-2, 1), (-10, 5), (-5, 1), (-10, 5), (-2, 1), (-5, 3), (-1, 1), (-5, 1), (-1, 1), (-2, 4), (-2, 1), (-2, 4), (-5, 1), (-2, 1), (-1, 1), (-2, 4), (-5, 1), (-10, 1), (-2, 1), (-2, 5), (-1, 2), (-2, 4), (-5, 3), (-5, 2), (-1, 1), (-10, 1), (-7, 1), (-10, 4), (-1, 1), (-2, 1), (-3, 1), (-1, 2), (-10, 10), (-2, 1), (-1, 1), (-1, 1), (-1, 1), (-1, 1), (-2, 6), (-1, 2), (-2, 1), (-1, 2), (-1, 5), (-2, 2), (-2, 4), (-3, 1), (-10, 5), (-1, 2), (-11, 5), (-7, 1), (-1, 1), (-1, 2), (-2, 1), (-1, 5), (-3, 4), (-5, 1), (-1, 2), (-1, 2), (-3, 1), (None, 7), (-4, 1), (-10, 5), (-5, 1), (-5, 3), (-1, 1), (-19, 5), (-2, 4), (-3, 2), (-2, 1), (-1, 5), (-10, 3), (-1, 2), (-2, 11), (-2, 1), (-10, 10), (-1, 5), (-1, 2), (-2, 1), (-2, 3), (-5, 4), (-2, 5), (-1, 1), (-3, 2), (-2, 4), (-7, 1), (-7, 1), (-2, 4), (-2, 5), (-3, 4), (-1, 2), (-1, 1), (-1, 2), (-2, 2), (-10, 10), (-1, 4), (-2, 1), (-10, 4), (-10, 5), (-5, 5), (-1, 1), (-2, 2), (-2, 1), (-1, 2), (-2, 2), (-2, 5), (-2, 5), (-2, 1), (-1, 2), (-7, 1), (-1, 1), (-1, 2), (-1, 2), (-5, 1), (-20, 10), (-2, 4), (-1, 1), (-11, 5), (-1, 1), (-1, 2), (-2, 4), (-1, 1), (-1, 2), (-10, 5), (-5, 10), (-10, 5), (-1, 2), (-2, 2), (-1, 2), (-1, 1), (-1, 1), (-3, 2), (-1, 2), (-1, 1), (-1, 1), (-1, 1), (-3, 2), (-1, 2), (-11, 1), (-5, 1), (-8, 2), (-3, 2), (-10, 2), (-5, 1), (-1, 2), (-1, 2), (-5, 1), (-19, 5), (-1, 2), (-5, 1), (-3, 1), (-1, 1), (-1, 2), (-7, 4), (-2, 1), (-10, 4), (-3, 5), (-5, 1), (-5, 1), (-1, 3), (-2, 1), (-2, 2), (-1, 1), (-4, 2), (-10, 5), (-1, 2), (-7, 1), (-1, 1), (-1, 4), (-5, 1), (-2, 5), (-3, 1), (-10, 5), (-2, 1), (-7, 1), (-4, 1), (-1, 2), (-2, 5), (-7, 1), (-1, 1), (-1, 2), (-11, 5), (-1, 2), (-1, 1), (-4, 5), (-1, 1), (-7, 1), (-5, 1), (-1, 1), (-3, 2), (-2, 1), (-1, 2), (-2, 4), (-1, 2), (-5, 1), (-5, 1), (-5, 1), (-2, 2), (-2, 4), (-1, 1), (-2, 1), (-2, 4), (-2, 1), (-1, 1), (-1, 1), (-2, 1), (-19, 5), (-7, 1), (-1, 1), (-1, 1), (-2, 1), (-1, 1), (-1, 1), (-2, 1), (-2, 8), (-19, 5), (-1, 2), (-1, 5), (-2, 4), (-2, 5), (-5, 1), (-5, 1), (-2, 1), (-3, 2), (-10, 1), (-5, 4), (-6, 5), (-3, 1), (-7, 1), (-1, 4), (-5, 3), (-5, 5), (-5, 1), (-1, 2), (-1, 1), (-1, 1), (-2, 2), (-11, 5), (-2, 4), (-1, 1), (-2, 2), (-5, 1), (-2, 2), (-10, 5), (-2, 1), (-10, 1), (-1, 5), (-1, 1), (-10, 5), (-1, 2), (-1, 1), (-2, 4), (-5, 1), (-10, 5), (-1, 1), (-1, 1), (-1, 1), (-2, 4), (-5, 5), (-10, 10), (-1, 2), (-2, 5), (-5, 4), (-19, 5), (-5, 1), (-5, 1), (-5, 5), (-5, 5), (None, None), (-1, None), (None, 1), (-1000000, 1000000), (-1, None), (-10, None), (-5, 10), (None, 1), (-1, 1), (-3, 1), (-1, None), (-1, 1), (-5, 1), (-1, 1), (-1, 5), (-1, 1), (-10, 5), (-2, 5), (-2, 5), (-1, 1), (-2, 5), (-1, 1), (-1, None), (-2, 5), (-2, 5), (-3, 1), (-5, 1), (-3, 1), (-1, 1), (-1, 1), (-1, 1), (-3, 1), (-1, 1), (-1, 2), (-1, 1), (-3, 1), (-3, 1), (-2, 5), (-1, 2), (-2, 10), (-1, 1), (-1, None), (-1, 2), (-1, 16), (-3, 5), (-1, 5), (-2, 5), (-1, 16), (-2, 1), (-3, 1), (-3, 1), (-10, 5), (-3, 1), (-1, 1), (-2, 1), (-1, 1), (-2, 1), (-3, 1), (-1, 1), (-1, 1), (-1, 1), (-1, 1), (-4, 1), (-6, 1), (-1, 1), (-1, 2), (-1, 1), (-10, 4), (-10, 5), (-2, 10), (-1, 1), (-2, 4), (-2, 11), (-3, 1), (-3, 5), (-1, 1), (-1, 1), (-1, 1), (-3, 1), (-1, 1), (-1, 1), (-2, 4), (-3, 1), (-10, 5), (-6, 1), (-1, 1), (-1, 1), (-1, 1), (-1, 1), (-1, 2), (-3, 1), (-3, 1), (-2, 1), (-7, 5), (-1, None), (-3, 1), (-1, 1), (-2, 1), (-3, 1), (-3, 1), (-3, 1), (-1, 1), (-1, 1), (-4, 1), (-3, 1), (-3, 1), (-10, 5), (-10, 5), (-10, 4), (-1, 2), (-3, 1), (-2, 10), (-10, 5), (-3, 1), (-3, 1), (-3, 1), (-1, 5), (-3, 1), (-3, 1), (-10, 4), (-1, 1), (-3, 1), (-1, 5), (-2, 1), (-2, 2), (-3, 1), (-2, 5), (-10, 5), (-2, 1), (-3, 2), (-1, 1), (-1, 1), (-1, 1), (-3, 2), (-1, 2), (-1, 1), (-2, 5), (-3, 1), (-1, 1), (-3, 1), (-2, 1), (-1, 1), (-2, 10), (-1, None), (-1, 1), (-3, 1), (-2, 4), (-3, 5), (-1, 5), (-5, 2), (-1, 5), (-3, 1), (-4, 1), (-2, 1), (-1, 1), (-3, 1), (-2, 5), (-1, 16), (-1, 1), (-15, 5), (-1, None), (-2, 1), (-3, 5), (-2, 1), (-3, 1), (-5, 1), (-2, 1), (-3, 1), (-3, 4), (-6, 1), (-3, 1), (-1, 7), (-3, 2), (-3, 1), (-2, 1), (-1, 1), (-3, 1), (-3, 4), (-1, 1), (-2, 5), (-4, 1), (-1, 1), (-3, 1), (-1, 1), (-1, 1), (-3, 1), (-1, 2), (-8, 1), (-2, 4), (-10, 5), (-1, 1), (-1, 2), (-3, 2), (-2, 1), (-3, 1), (-5, 1), (-2, 5), (-2, 2), (-2, 1), (-2, 1), (-1, 1), (-1, 1), (-3, 1), (-1, 1), (-1, 1), (-2, 11), (-1, 1), (-1, None), (-1, 1), (-3, 1), (-3, 1), (-3, 1), (-1, 1), (-1, 5), (-3, 2), (-3, 1), (-3, 1), (-3, 1), (-5, 1), (-2, 1), (-2, 10), (-9, 4), (-1, 1), (-1, 2), (-1, 1), (-4, 1), (-4, 5), (-3, 1), (-2, 11), (-3, 1), (-3, 1), (-3, 1), (-3, 1), (-2, 4), (-2, 1), (-7, 5), (-1, 1), (-2, 1), (-1, 1), (-4, 1), (-2, 1), (-1, 1), (-1, 1), (-1, 1), (-9, 5), (-2, 1), (-3, 1), (-3, 1), (-3, 4), (-3, 1), (-1, 1), (-3, 1), (-2, 2), (-2, 4), (-2, 5), (-2, 1), (-8, 1), (-1, 1), (-2, 5), (-1, None), (-1, 2), (-3, 1), (-3, 1), (-1, 1), (-2, 5), (-1, 1), (-3, 1), (-1, 1), (-9, 5), (-5, 1), (-1, 2), (-1, 1), (-3, 2), (-3, 5), (-2, 5), (-3, 1), (-1, 5), (-1, 2), (-1, 16), (-3, 1), (-2, 5), (-2, 1), (-9, 4), (-2, 1), (-1, 1), (-8, 1), (-2, 5), (-3, 2), (-1, 1), (-2, 1), (-3, 1), (-9, 4), (-3, 1), (-3, 1), (-3, 2), (-1, 1), (-10, 4), (-1, 1), (-1, 4), (-2, 5), (-1, 1), (-5, 1), (-2, 2), (-3, 1), (-4, 1), (-2, 5), (-1, 5), (-15, 5), (-1, 1), (-1, 1), (-1, 4), (-8, 1), (-2, 1), (-8, 1), (-1, 1), (-1, 1), (-3, 1), (-1, 1), (-6, 1), (-3, 1), (-3, 1), (-3, 1), (-3, 5), (-1, 1), (-1, 1), (-2, 1), (-2, 5), (-3, 1), (-2, 2), (-2, 1), (-2, 1), (-2, 5), (-3, 1), (-3, 2), (-1, 2), (-3, 1), (-3, 1), (-1, 5), (-1, None), (-1, 16), (-3, 2), (-3, 1), (-20, 5), (-1, 5), (-2, 1), (-4, 1), (-1, None), (-1, 16), (-1, 1), (-3, 5), (-1, 2), (-3, 1), (None, 5), (-1, 2), (-8, 5), (-1, 2), (-1, 1), (-1, 16), (-2, 1), (-9, 4), (-3, 1), (-3, 1), (-1, 1), (-3, 1), (-1, None), (-2, 1), (-1, 2), (-1, 1), (-1, 2), (-2, 11), (-1, 1), (-1, 1), (-3, 1), (-1, 1), (-2, 5), (-1, None), (-3, 1), (-2, 1), (-1, None), (-1, 1), (-3, 1), (-1, 2), (-1, 1), (-2, 1), (-2, 4), (-2, 4), (-1, 2), (-1, 1), (-4, 5)]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(largest_smallest_integers)
print('___SENTINEL___')
| 3347e3a2fa312c3c422a89a17df6ff7b |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-4
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-04, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[[2, 4, 1, 3, 5, 7]], [[]], [[0]]]
results = [(None, 1), (None, None), (None, None)]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(largest_smallest_integers)
print('___SENTINEL___')
| 4ddf35a98a5c103364528d2ca121a896 |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-6
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-07, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[1, 2], [1, 2.5], [2, 3], [5, 6], [1, '2,3'], ['5,1', '6'], ['1', '2'], ['1', 1], [3, 3], [-1, -1], [0, 0], [-2.5, 2.5], [10, '10.0'], ['5,000', 5000], ['7.3', 7.3], [-3, '-3.0'], ['-4,1', '-4.0'], [-2.0, 3], [1, 0], ['77.3', '7.3'], [10, 0], [-1.0425166390148266, -1.123543564552395], ['5,000', 4999], ['773.3', '7.3'], [1, -1], ['7.3', -2.5], [5000, 0], [4999, 5000], [4999, -1], ['7.3', -2.0], [-1, 10], ['7.30', '-3.0'], [10, '77.3'], [5001, 0], [5000, 5001], [5000, 5000], [0, 5001], [-2.0, 2.5], [10, -1], ['5,0050', 10], [11, 10], ['7.3', '7.3'], [-1, -3], [10, 10], [10, '1.0'], [0, 4999], ['5,000', '5,000'], [4999, 5001], ['773.3', 5000], [5000, 3], [2, 1], ['5,000', '05,000'], [0, -1], [3, 0], [3, -1], [-1, '77.3'], [1, 5001], [5001, -3], [1.496091849454374, 2.5], [-2.0, 2], [-1, -2], [-3, 2], [-1.0425166390148266, -1.0425166390148266], [9, 10], [5002, -3], [1, 1], [1.496091849454374, 2], [4999, 1], [1, 9], [-3, -3], [0, 1], [-3, -2], ['11.0', '1.0'], ['7.3', '-4,1'], [10, 5000], [5002, 5000], [-3, 5000], [7.3, 7.3], ['7.3', 1.496091849454374], [-2.0, 5002], [41, 40], ['-4.0', '-4.0'], [2.5, 5002], [4999, 4999], [1, -2], [-1.123543564552395, 2.5], [9, '77.3'], [41, -2], [5000, 2], [9, '10.0'], [-1.123543564552395, 3], [-2.0, -2.0], [5002, '77.3'], [10, 5002], [1, 10], [11, 0], [5000, 4998], [1.496091849454374, -1.0425166390148266], [-2, 4999], ['7.33', '7.3'], [-2, 2], ['-4,1', '7.3'], [10, '-4,1'], [40, -2], [11, 11], ['05,000', '1.0'], ['11.0', '77.3'], [-3, 3.14], [-9.876, '-9.123'], ['-8,9', -7.654], ['1.23', '1,45'], ['-6.7', '6.7'], ['3', '3.0'], ['-2', '-2.0'], ['0', 0], [1, '1.00000001'], ['1.25', '1,250'], ['1,45', '1.25'], ['15,415', '1,45'], ['3', '1.25'], ['6.7', '1.25'], ['1,45', '1.225'], ['1.25', '1.25'], ['1,45', 0], ['0', '1.25'], ['1.25', '6.7'], ['00', 0], ['15.25', '1.25'], [-7.915238266264661, -7.654], ['7', '1.25'], [1, -3], ['1', '1.125'], [1, '1,45'], ['3,415', '41,45'], [-8.74973784205587, -9.876], ['-9.123', '-9.123'], ['-9.12', '-9.123'], ['1.205', '1.25'], ['3', '15.25'], [-3, -7.915238266264661], ['-2.0', '1.25'], ['00', '00'], ['3', '1.205'], ['1.225', '1.225'], ['-8,9', '00'], ['1.23', '1.225'], ['15.25', '15.25'], ['3', '1.215'], ['6.7', '-15,4159'], ['1,250', '1.2'], ['3.0', '-2.0'], ['16.7', '16.7'], ['15,415', '1'], ['41,45', '41,45'], [-2, -3], [2.767386384178415, 3.14], ['41,45', '4,45'], ['145', '145'], ['-6.7', '-2.0'], [-7.654, -7.014581866391794], ['00', '1.25'], [-8.74973784205587, -8.74973784205587], ['1.23', '16.7'], ['1,45', '1,45'], ['0', '1,45'], ['1,45', '1,4'], ['1,45', '1,'], ['33', '1.25'], ['00', -1], [-12.967215344684003, -4.51094653769451], ['1.20', '33.0'], ['1.23', '-6.7'], ['1.23', '1.125'], ['1.215', '1.215'], ['1', '15,415'], ['1.25', '6337'], ['-.123', '-.123'], ['0', -1], ['1.25', '63371.25'], ['1.23', '1.1'], ['0', '0'], ['33.0', '1.215'], ['1', '1.225'], ['1.0205', '1.25'], ['0', -2], ['415', '41,45'], [-12.774935986016603, -12.967215344684003], ['.0', '-2.0'], ['1.1', '1.25'], ['1.23', '1.23'], ['000', '1,'], ['415', '415'], ['2151,250', '1.2155'], [-2, -1], [-7.915238266264661, -7.014581866391794], ['3', '3'], ['-9.12', '415'], ['1.20', '1.25'], [-12.774935986016603, -12.774935986016603], [34, -2], ['-2.000', '-2.0'], ['41,45', '6.7'], ['11.23', '1.225'], ['-9.12', '1.1'], ['1,250', '1,250'], ['1.2', '-9.1'], ['1.1', '33'], ['-6.7', '1.23'], ['63371.25', '-2'], ['115.25', '15.25'], ['1,45', '0'], ['1,4', '1,45'], [-3, 34], [-2, -2], ['333', '1.1'], [-2, 3.14], ['-2.000', '-9.1'], ['1.0205', '1.1'], ['-8,9', '-8,9'], ['-2.0', '16.7'], ['1.03', '-6.7'], ['3.0', '-2.'], ['1.23', '415'], ['33', '1.205'], ['330003', '1.25'], [-6.4514534689514935, -9.876], ['63371.25', '1.0205'], ['1.1', '1.2'], ['11', '1.225'], ['00', -3], ['000', -2], [1, 11], ['333', '333'], ['1.23', '41,45'], ['-2.000', '63371.25'], ['115.25', '11.23'], ['-.123', '4,45'], ['-6.7', '16.7'], [-8.298650833465093, -7.014581866391794], ['1.205', -1], ['-2.0', '1.20000'], ['00', '0'], ['41,45', '000'], [-2, 34], ['33', '4,45'], ['15', '1.25'], ['1.323', '1.23'], [-7.014581866391794, -7.915238266264661], ['15,4115', '6337'], [1, 34], ['.7', '16.7'], ['7', '7'], [-8.298650833465093, -12.967215344684003], ['333', '33'], ['000', '00'], [-7.654, -7.654], [35, -2], ['15.25', '21.25'], ['5', '-2.0'], [-1, 34], ['1.1', '1.1'], ['1.205', '1.205'], ['415', '-9.12'], ['-8,9', '3113'], ['-9.12', '3'], ['6.7', '3,415'], ['1.23', '63371.25'], ['21.20', '00'], ['3113', '63371.25'], [-15.232196952601557, -5.75363867961704], ['11', '1.125'], ['13.323', '1.323'], ['11', '1.20'], [12, 11], ['-84,45', -7.654], [84, -2], [-3, -1], ['13.323', '1.225'], ['1.23', '15.25'], ['145', '1.0205'], [1, 35], ['-2.000', '-9.123'], ['3300', '4,45'], ['3,415', '0'], ['3415', '3,415'], ['1.00000001', '21.25'], ['33.0', '33.0'], [2.767386384178415, -7.654], ['000', '-2.000'], [-15.232196952601557, -15.232196952601557], ['5', '-15,4159'], [2.767386384178415, -8.226976895748662], ['1.00000001', '41,45'], ['-6.75', '-6.00075'], [-8.900537956858544, -12.774935986016603], ['-9.12', '1.11'], ['-6.00075', '7'], ['0', 84], ['-6.7', '15,4115'], ['1.133000323', '1.33000323'], ['-6.75', '21.25'], [12, 12], ['1.1', '63371.25'], [-5.75363867961704, -12.774935986016603], ['6337', '-84,45'], ['11.1', '1.1'], [3.712550934925414, 2.767386384178415], ['-8,9', '1.25'], ['-9.12', '-9.12'], ['6.7', '-15,41159'], [-7.654, -4.5668177959472835], ['-6.7', '-6.7'], [1, 70], ['125', '21.25'], ['15,41', '1'], ['1.000000001', '1.00000001'], ['-2.0', '115.25'], ['-15,41159', '11.23'], [-9.13887722899935, -7.654], ['-2.000', '1.125'], ['00', '6.7'], ['11.23', '11.23'], [-3, 11], ['41,4', '4,45'], [-2, 70], [34, 34], [-4, 11], ['1.20', '1.20'], ['-9.12', '44'], ['-6.7', '41,45'], ['151,411115', '15,4115'], ['-6.7', '3415'], ['-.123', '1.23'], ['1.20000', '1.215'], [-12.967215344684003, -12.967215344684003], ['-9.1', '1.23'], ['1.23', '1225'], ['4,45', '4,45'], ['-.123', '1415.23'], ['15,41', '11'], ['1.23', '13.02125'], ['1.02205', '1.02205'], ['77', '7'], [-4, -3], ['6.7', '11'], ['115.25', '-2'], [-8.648925493228285, -7.654], [-12.774935986016603, -7.654], ['-2.0044', '000'], ['415', '1415.23'], ['.0', '115.25'], [-2, 1], ['.7', '3.0'], ['41,45', '1.1'], ['1,545', '3415'], ['00', '1.03'], ['-8,9', -9.761009327429885], [2.8215418518706716, 3.14], ['-2.0', '1.11'], [-7.014581866391794, -7.014581866391794], [-7.947227268681752, -7.947227268681752], ['1.225', '15,4115'], [2.8215418518706716, -7.014581866391794], ['-8,9', '13.02125'], ['41,4', '33'], [-10.397627547678898, -11.107660229810385], ['-9.12', '11.23'], ['-125.00075', '7'], ['1.20000', '1.00000001'], [-1, 33], ['0011', '0011'], [2, 34], ['1225', '13.02125'], ['1.25', '-2'], [2.767386384178415, 4.569736337135209], ['-2', '-2'], ['1,45', '145'], ['000', -3], [-1, 35], ['33', '33'], ['155', '15'], [-1, 36], ['-8,9', '000'], ['1,250', '151,411115'], ['63371.25', '6337'], [-12.774935986016603, -7.014581866391794], ['1,545', '3333300'], [-8.648925493228285, -98.33564388101799], ['00', '-9.123'], ['0', '-9.123'], ['415', '-9.1'], ['155', '155'], ['1', '-9.12'], [-5.75363867961704, -7.654], ['1.000000001', '1.000000001'], ['00', '3,415'], [-9.761009327429885, -8.226976895748662], ['1.205', '1.00000001'], ['115.25', '15,415'], [-6.4514534689514935, -7.654], [-6.122895581745484, -6.122895581745484], [-1, 38], ['15500', '67.7'], [4.569736337135209, 2.767386384178415], ['11.23', '.7'], ['16.7', '16.77'], ['33', '77'], ['12257', '13.02125'], ['-6.00075', '-6.00075'], ['-15,4159', '63371.25'], ['1.125', '11.125'], ['55', '5'], ['03415', '1,45'], ['1,5', '1.25'], ['1,45', '00'], [-69.38740384414959, -69.38740384414959], [1, '11'], ['-8,9', '.0'], [-8.648925493228285, -8.74973784205587], ['2151,250', '-2'], ['1', '12251'], ['-91.12', '-9.12'], ['41.22515', '-9.1'], ['.7', '1.2155'], ['33.0', '-2.0'], ['1.233', '1.23'], ['-9.1', '1.0000'], ['41,455', '-9.1'], ['415', '414,45'], ['1.125', '-8,9'], ['4,45', '1.1'], ['000', 0], ['63371.25', '3415'], [-9.13887722899935, -4.5668177959472835], ['333', '3333'], ['-15,41593', '3333'], [-3, 84], ['1,45', '41,45'], [36, 84], ['41,4', '1,'], ['-9.12', '-15,4159'], ['151.25', '-2.0'], ['12257', '-9.1'], ['1.3300023', '1,45'], ['1.2155', '155'], [-4, -2], [-7.915238266264661, -4.51094653769451], ['6337', '1.215'], ['12215', '1225'], ['5', '16.77'], ['-2.0', '1.02205'], [75, -68], [-68, -68], ['151.235', '155'], [-7.945789698508423, -7.014581866391794], ['0', '1,5'], ['00', 84], ['3333300', '13415,545'], ['-9.12', '444'], ['1.2205', '1.00000001'], [-12.774935986016603, -7.915238266264661], ['15500', '41,45'], ['777', '000'], ['00', '3300'], ['1', '1'], ['03415', '1.23'], [-7.654, -12.774935986016603], ['1.20', '0011'], ['-9.123', '1.5'], [11, 34], ['111', '1'], [-15.232196952601557, -7.014581866391794], [-69.90474800626136, -69.38740384414959], ['00', '151.25'], ['-9444.12', '-9.12'], ['15', '15'], ['11.23', '11.123'], [-15.232196952601557, -5.649489992448723], [0, -4], ['1.0000000001', '1.000000001'], [-9.876, -9.876], ['-91.1215', '1.25'], ['0', '-91.1215'], ['55', '-2.0'], ['3113', '151.235'], ['-91.12', '1.2333330025'], ['0', '-2'], ['-125.00075', '77'], ['13415,5451', '1'], ['00', '01.03'], [34, 35], ['3,4415', '3,4415'], [-8.298650833465093, -12.0138597047669], [34, 0], ['115.25', '115.25'], ['-84,45', '-2.0'], [-14.727099773983543, -9.876], ['1,45', '-9.1'], ['63371.25', '63371.25'], ['-15,41159', '-2.0'], ['1,545', '-84,45'], [-8.298650833465093, -8.298650833465093], ['414,45', '414,45'], ['11', '21.125'], ['1.5', '1.233'], [-1, 2], ['1,250', '1.2155'], ['111.23', '11.23'], ['1', '15,41'], ['1.25', '1.33003'], ['1.2205', '1.000000001'], ['-91.1215', '-2.0'], ['11.223', '11.23'], ['3415', '3415'], ['-15,4159', '13415,5451'], [11, 2], ['-6.050075', '-6.00075'], ['33', '-9.123'], [1, -4], [-5.75363867961704, -4.9122923154404425], ['-6.050075', '-6.050075'], [38, -50], ['9.1', '-9.1'], ['6337', '-.123'], [-7.915238266264661, -8.22566929632332], ['0', '77'], ['3333', '33'], [-9.084182019357039, -9.084182019357039], ['-2.0044', '-2'], ['13.02125', '13.02125'], ['1.23', '63371.275'], ['15500', '1.5'], ['3415', '1.2'], [-5.649489992448723, -7.959931287366305], ['1.2034155', '1.205'], [-68, 12], ['1.22205', '1.2205'], ['115', '1.225'], ['55', '-2.0044'], ['1,54533', '33'], ['444', '12251'], ['0', '1.5'], ['1.02125', '13.02125'], ['-6.7333', '3333'], ['1.2155', '-6.050075'], ['-6.75', '33'], ['-11159', '-15,41159'], ['1.2', '1,45'], ['-2.0', '-2.0'], ['215150', '2151,2550'], ['1.0205', '1,4'], ['1.125', '11.23'], ['41,4', '3,415'], ['115.255', '115.25'], [-4.51094653769451, -5.4389252401123995], ['41533', '1415.23'], ['1.020000', '1.00000001'], ['414', '41,4'], [-7.654, -9.761009327429885], ['15500', '1515'], ['000', '000'], [3.14, -6.122895581745484], ['3300', '3300'], ['1.0205', '11.1'], ['1.02125', '3,415'], ['01.03', '0'], ['1.5', '3,44115'], ['1.2034155', '1.2034155'], ['1225', '1225'], ['11', '115'], ['1.2333330025', '-91.12'], ['3113', '-2'], ['-6.00075', '77'], ['1.1333000323', '1.1333000323'], [-9.876, -13.001526912961886], ['15500', '67.'], ['12215', '11225'], ['-2.', '-2.000'], ['3,4341515', '3,4341515'], ['13.323', '1.23'], ['5', '16.7'], [-8.74973784205587, -5.75363867961704], ['-9444.12', '1.2205'], ['15,41000', '15,41000'], ['1,45', -50], ['1.2125', '1.2'], [3.712550934925414, -6.06088794991491], [-7.947227268681752, 2.767386384178415], [-98.33564388101799, -9.084182019357039], ['701.037', '77'], ['1.23335', '9.1'], [75, 1], ['1.20', '13.323'], ['0', '1.03'], ['1.123', '-6.7'], ['1.22205', '15,4115'], ['-15,41159', 0], ['-15,41593113', '155'], ['13.323', '-9.123'], [-69.90474800626136, -5.75363867961704], ['1.20', '11'], ['-6.7', '155'], ['12.2155', '1.2155'], ['1.02205', '1225'], ['3,4415', '71.33003'], ['44115', '4415'], ['441,45', '441,45'], ['13415,5451', '13415,5451'], ['1,', 2], [1, '1.'], [100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000, 2], [-1.0, '-2,3'], ['5,1', -6], ['1.1', '1.0'], ['1.', 1], ['0.0', 0], [-11.11171337843259, -9.876], ['-23', '-9.123'], ['-2.0', '-2'], [-7.654, '-9.123'], [0, -3], [-11.11171337843259, '-9.123'], [3.14, 3.14], ['-3.023', '-9.123'], ['-26.73', '-9.123'], [3.14, 3.5098365670180556], [-3, 0], ['0', -3], ['1.2', '1.25'], [3.5098365670180556, 3.14], ['1,250', '-3.023'], [1, '1.2'], ['1,45', '1.23'], ['-26.73', '1.00000001'], ['-6.7', '-2'], ['-2', '1.00000001'], ['.2', '1.2'], [-11.11171337843259, -11.11171337843259], [4.452161057484629, -9.876], [4.452161057484629, 4.452161057484629], ['3.0', '3.0'], [-11.931240615627274, '-9.123'], ['-9.123', '-2.03'], ['1,250', '1.00000001'], ['1,250', '11.000000010'], [-9.876, -9.707613442054273], ['-23', '11.000000010'], ['1,250', '11.00000001'], [-5.403249230556667, '.2'], ['-2.0', '-9.123'], ['-3.023', -7.654], ['-2', '-9.123'], ['6.7', '6.7'], 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100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000, -1.0, '5,1', '1.1', None, None, -9.876, '-9.123', None, -7.654, 0, '-9.123', None, '-3.023', '-9.123', 3.5098365670180556, 0, '0', '1.25', 3.5098365670180556, '1,250', '1.2', '1,45', '1.00000001', '-2', '1.00000001', '1.2', None, 4.452161057484629, None, None, '-9.123', '-2.03', '1,250', '11.000000010', -9.707613442054273, '11.000000010', '11.00000001', '.2', '-2.0', '-3.023', '-2', None, -9.514520957128042, None, '23', 3.14, 11, -8.997546011069746, -9.514520957128042, -5.403249230556667, '-2.0', 11, -8.997546011069746, '1.00000001', '-2', '0', -9.876, None, '1,250', 2.506774567617957, None, '23', 2.506774567617957, '1.000000001', -4.636255829707621, '3', '1.23', '11.000000010', '1.00000001', -9.876, None, '0', '116.700000001', '1.000000001', None, '6.7', '6.77', 11, -6.104752540884294, -7.934743523840704, -6.104752540884294, -8.997546011069746, -11.11171337843259, None, None, '116.700000001', '-9.123', 3.1711504871820364, '116.700000001', 0, None, '11.0000000100', 3.1711504871820364, None, None, '-9', 3.14, '-2.03', None, '3', '-3.023', '6.7', 4.073918637875315, '33', '-2.023', -5.980190696257784, None, '23', 1.8062716857029506, None, '-2', 1.6388390454446027, 2.079441987825791, 3.5119518593157366, '-2.00', '116.7000000001', '1.00000001', '6.7', 3.14, 1.8180729788847423, -7.654, -5.980190696257784, -11.651945761505571, '-8,9', 2.1344375030805596, None, -8.906662049468062, '33', 4.073918637875315, '31.23', -9.707613442054273, -9.05245650953129, 1.8062716857029506, '-9.123', '116.700000001', 4.063414424831626, '-9.123', 49, '11.00000001', 1.1541131551442234, -7.7849907211524485, '11.00000001', 2.8877032195044543, '-21.00000001', 1.8180729788847423, '1.000000001', 3.898938614903911, -7.654, '3.0', '11.0000000100', '1.2', -4.636255829707621, '1,45', -11.651945761505571, '116.700000001', '116.7000000001', '11.0000000100', '11.000000010', None, 1.9155795783061915, 4.452161057484629, None, '116.700000001', '-9.123', 4.452161057484629, None, '116.700000001', None, 2.6874712351441374, '.2', 2, 3.865653910216933, '.2', None, '31.2', 4.073918637875315, '33.', '23', -8.997546011069746, 11, None, 1.7459388376772054, 2.226295551080672, '1.00000001', 2.2929741837650237, 4.063414424831626, 4.031158731806144, 12, 11, '3.0', '1123700000001', 1.8062716857029506, -9.686625445264218, -4.636255829707621, None, None, None, 1.8180729788847423, 0.2002599393512665, '8,9', -9.686625445264218, 2.1344375030805596, '31.23', -3, 4.031158731806144, 3.898938614903911, None, 12, '11.0000000100', '1.0000001', '00100', 1.6412621306995587, -6.410274451315487, '-2', 1.6388390454446027, '1123700000001', '1.0010000001', '111.0000', '-22', 3.8141252898018707, '-9.123', 3.865653910216933, -5.980190696257784, '-2.0', 3.5119518593157366, '11.000000010', -4.076712034563361, 2.8877032195044543, '00', 11, '31.2', 3.5605751592559205, '00100', 4.063414424831626, -5.403249230556667, '1.25', None, -8.468456444880985, '11.000000010', '0', '1.000000000', '116.700000001', '1.001', '116.700000001', '-9.', None, None, 1.5604055856320835, 4.452161057484629, None, '-6.72', -3.105257478570193, '-9', 5.408759332706278, None, '116.7000000001', 3.5119518593157366, 3.14, -5.403249230556667, -8.468456444880985, 4.452161057484629, -5.129467798985429, '1.00000001', '.2', -8.906662049468062, 12, '-212.00000001', None, -6.104752540884294, 3.865653910216933, 1.4502280067005207, '1232', 3.14, 3.5605751592559205, -8.468456444880985, '1.000000000', None, -4, -8.056337912443711, None, None, '116.7000000001', 0.6862384998319798, 3.14, '.2', 11, -11.651945761505571, 48, -11.328754454519512, None, -9.686625445264218, -11.05875160279082, 2.1873356443842775, -6.484980695659161, '1,20', 3.5119518593157366, -8.997546011069746, '-9.123', 4.073918637875315, 3.14, 1.1019679079350322, -5.436029261483907, '-9.123', 11, 1.1541131551442234, -8.468456444880985, '3.0', 3.865653910216933, 1.5604055856320835, None, 3.5119518593157366, 2.1344375030805596, -6.887985839769855, '11.000000001', 49, None, 2.0493903471747634, '.2', None, '1,250', -9.514520957128042, 3.865653910216933, 2.226295551080672, '-9.1213', 2.971135439138305, -13.962701352806974, '116.700000001', '-8,9', None, '1232', '31.23', '116.700000001', '-2.0300', 2.226295551080672, 4.044626695207136, -4.636255829707621, '11237000000011,5250', -6.887985839769855, 2.581352134350697, -5.980190696257784, 3.14, 3, 4.488747947339361, 1.3891044281947666, 10, 4.063414424831626, '116.7000000001', 2.1964045622059976, 2.971135439138305, '31.23', 1.8062716857029506, None, 1.4502280067005207, -5.403249230556667, '150', '6.7', None, 4.419932179709408, 10, 5.408759332706278, 2.0493903471747634, -11.651945761505571, None, 2.226295551080672, 2.757142833975825, None, 2.2669562582463536, 2.6845541156529644, 2.6874712351441374, '51,250', 3.5605751592559205, 2.1964045622059976, -12.000815116055994, None, '33.0', 1.5700165584201082, None, None, '3.0', -9.208288330318375, '1,2550', -9.876, 49, -8.997546011069746, '33.', -7.654, None, -5.980190696257784, 1.6412621306995587, 1.9455316441084491, 3.1711504871820364, 2.1140423577676475, None, 1.8062716857029506, -7.654]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(compare_one)
print('___SENTINEL___')
| e10a1e68eebebc7062a4bae6734fcafb |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-4
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-04, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[1, 2.5], [1, '2,3'], ['5,1', '6'], ['1', 1]]
results = [2.5, '2,3', '6', None]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(compare_one)
print('___SENTINEL___')
| 02b72f52902d4c0aeab43c438c22b528 |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-6
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-07, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[4], [6], [8], [10], [11], [12], [13], [16], [20], [22], [24], [30], [36], [40], [42], [48], [50], [28], [41], [21], [39], [23], [25], [35], [19], [49], [51], [52], [47], [37], [34], [-79], [29], [53], [57], [56], [-2], [0], [2], [5], [9], [15], [27], [100], [105], [-3], [76], [101], [98], [3], [97], [7], [1], [99], [-50], [102], [-71], [-1], [-72], [-27], [104], [96], [-26], [-39], [-55], [-29], [-66], [14], [-42], [77], [-38], [-30], [-25], [-34], [78], [103], [-65], [-49], [-18], [-7], [75], [-37], [-73], [-51], [106], [64], [-52], [-8], [-6], [-10], [107], [26], [18], [108], [109], [17], [110], [31], [-98], [-87], [-5], [-40], [-88], [-4], [55], [-86], [32], [54], [-68], [-90], [-91], [-78], [-80]]
results = [False, False, True, True, False, True, False, True, True, True, True, True, True, True, True, True, True, True, False, False, False, False, False, False, False, False, False, True, False, False, True, False, False, False, False, True, False, False, False, False, False, False, False, True, False, False, True, False, True, False, False, False, False, False, False, True, False, False, False, False, True, True, False, False, False, False, False, True, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, True, True, False, False, False, False, False, True, True, True, False, False, True, False, False, False, False, False, False, False, False, False, True, True, False, False, False, False, False]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(is_equal_to_sum_even)
print('___SENTINEL___')
| 645d590f39894c0a111800c1e21f4004 |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-4
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-04, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[4], [6], [8]]
results = [False, False, True]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(is_equal_to_sum_even)
print('___SENTINEL___')
| 29d56fd24e8d2fdd257deb410f015d0a |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-6
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-07, atol=atol)
else:
assert exact_match
def ref_func(n):
fac, ans = 1, 1
for i in range(2, n + 1):
fac *= i
ans *= fac
return ans
def check(candidate):
inputs = [[4], [5], [7], [1], [2], [3], [6], [8], [10], [13], [20], [50], [15], [12], [11], [22], [14], [9], [21], [51], [30], [29], [32], [49], [77], [52], [23], [48], [19], [33], [16], [53], [27], [34], [35], [17], [28], [26], [47], [74], [24], [36], [95], [18], [31], [45], [37], [38], [46], [78], [39], [73], [75], [79], [80], [72], [81], [25], [76], [96], [44], [94], [40], [43], [93], [71], [42], [83], [41], [70], [97], [84], [54], [85], [92], [91], [55], [82], [69], [98], [86], [56], [99], [57], [100], [101], [58], [87], [68], [62], [59], [102], [103], [60], [88], [67], [66], [104], [63], [200], [500], [199], [198], [499], [197], [497], [501], [498], [502], [496], [201], [503], [495], [493], [196], [492], [195], [202], [504], [505], [203], [491], [204], [105], [90], [494], [89]]
for i, inp in enumerate(inputs):
assertion(candidate(*inp), ref_func(*inp), 0)
check(special_factorial)
print('___SENTINEL___')
| 0edf62f053984d160a79cf53a819ee70 |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-4
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-04, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[4]]
results = [288]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(special_factorial)
print('___SENTINEL___')
| 3039ee983a576092e83550cf94de4436 |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-6
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-07, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [['Example'], ['Mudasir Hanif '], ['Yellow Yellow Dirty Fellow'], ['Exa mple'], [' Exa 1 2 2 mple'], ['Hello, world!'], ['happy 123'], ['Hey there!'], [' spaces every where '], ['NoSpacesHere'], ['This is a test'], ['Testing 1 2 3'], ['Hello World'], ['Hello World'], [' Hello World'], ['This is a tesst'], ['This is a tes'], ['This is a This is a tes test'], ['Hello r World'], ['This is a Hello r World tsesst'], ['This is a This is a tes test spaceNoSpacesHere '], ['Thish is a tesst'], ['HelloNoSpacesHere, world!'], ['Hey e there!'], [' spaces eveThis is a This This is a This is a tes test spaceNoSpacesHere is a tes testry where '], ['happy 123 spaces every where '], [' spaces eveThis is a This This is a This ishappy 123 a tes test spaceNoSpacesHere is a tes testry where '], ['Hello r Word'], ['This is a sst'], [' spaces eveThis is a This This is a This is a tes test spaceNoSpacesHello r WorldHere is a tes testry where '], [' spaces eveery where '], ['happy1233'], [' spaces eveThis is a This This is a This is a tes test spaceNoSpacesHeNoSpacesHerello r WorldHere is a tes testry where '], ['happy 123 p spaces every where '], [' spaces eveThis is a This This is a This is tes testry where '], ['Thish isThis is a Hello r World tsTesting 1 2 3 a This is a ssttesst'], ['Helleo World'], ['happyw 123 p spacees every where '], ['Thish is a tesHey there!st'], ['happyw 123 p spacees This is a sstevery wher '], [' spaces every w here '], ['Th is is a This is a tes test'], ['This is a This is a tes test spacoeNoSpacesHere '], [' spaces eveThis is a This This is a This is happy 123 a tes test spaceNoSpacesHere is a tes testry where '], ['Thihappyw 123 p spacees This is a sstevery wher s is a Hello r Woreld tsesst'], [' spaces eveThis is a This This is a This is a tes test spaceNoSpacesHtry where '], ['happThis is a tessty'], ['This is a T spaces eveThisTh is is a This is a tes test is a This This is a This ishappy 123 a tes test spaceNoSpacesHere is a tes testry where his is a tes test'], ['This is Thish is a tesHey there!st a This is a tes test spaceNoSpacesHere '], ['Thish is asst'], [' spaces everThis is a This is a tes testy where '], ['This is This is a T spaces eveThisTh is is a This is a tes test is a This This is a This ishappy 123 a tes test spaceNoSpacesHere is a tes testry where his is a tes testa tes'], [' spaces eveThis tis a This This is a This is a tes test spaceNoSpacesHere is a tes testry where '], [' spaces eveThis is a This This is a This is a tes test spaceNoSpacesHello r WorldHere is a tes testry where '], [' happyw 123 p spacees every where '], ['happyw 123 p spacees This is a sstevery whser '], [' spaces eveThis is a This This is a This is a This is a tes test spaceNoSpacesHere This is tes testry where '], ['haappy1233'], ['Testing Hey e there! 1 2 3'], ['Hello r spaces eveThis is a This This is a This is a tes test spaceNoSpacesHello r WorldHere is a tes testry where Word'], ['Testing s 1 2 3'], ['Th is is a This is a tes teHello, world!st'], [''], ['ThThis is a Hello r World tsesstis is a sst'], ['This is This is a T spaces eveThisThh is is a This is a tes test is a This This is a This ishappy 123 a tes test spaceNoSpacesHere is a tes testry where his is a tes testa tes'], ['This is sst'], ['NoSere'], ['ThTthis is a Hello r World tsesstis is a sst'], ['This is a This is a tes test spaceNioSpacesHere '], ['This iis a sst'], ['Thihappyw 123 p spacees Thi s is a sstevery wher s is a Hello r Woreld tsesst'], ['This is a This istest'], ['Helleo Worldhappyw 123 p spacThis iis a sstees every where '], ['Hello r Worlld'], ['Testing This is a sst e there! 1 2 3'], ['ere!st'], ['This is a This is a t spaces eveThis is a This This is a This is a This is a tes test spaceNoSpacesHere This is tes testry where est'], ['Hhappy 123 p spaces every where ello r Word'], ['He spaces eveThis is a This This is a This is a This is a tes test spaceNoSpacesHere This is tes testry where llo, wod!'], ['rCMrcvK'], ['This sis a tes'], [' spaces eveThis is a This This is a This is a This is a tes test spaceNoSpacesHere This is tes testr where '], [' spaThis This is a This ishappy 123 a tes test spaceNoSpacesHere is a tes testry where '], ['Th is is a This is aHey e there! tes test'], ['Thish Helleo Worldhappyw 123 p spacThis iis a sstees every where is a tesHey there!st'], ['Hello r spaces eveThis is a This This is a This is a tes test spaceNoSpacesHellThish isThis is a Hello r World tsTesting 1 2 3 a This is a ssttessto r WorldHere is a tes testry where Word'], ['Th is is a This is a tes teTHello, world!st'], ['ThTthis sis a Hello r '], ['Thihappyw 123 p spaces eveThis is a This This is a This is a tes test spaceNoSpacesHtry where spacees This is a sstevery wher s is a Hello r Woreld tsesst'], [' spaces everThis is a This is a tes tThish Helleo Worldhappyw 123 p spacThis iis a sstees every where is a tesHey there!stesty where '], ['NoSer'], ['Thish Helleo Worldhappyw 123 p spacThis iis a sstees every where 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'ExampsenteExamplnce1gggapsle', 'bExametweeExasxa3e__1n', '---a--a-a---b--Ex-2\nmple\tExample-ExmampleEib-b--cc-c-c---', 'E1ExampleEtEhisxeaEzExmplPbEEE', '-Exa_1ExampleEtEEhmisxe__ggaps-3', 'gaTnYIFZqaAzpshhi---a-a-a---', '2--his-A-B-*_-E-C-Ex-2\nmple\tExample__m_3thitssxa3eis-EExample-C---sa-ac---c---', '-his-A-BA-B-*___hEx__hExampleEthitssxa3eis-EExamppleampleEthitssxa3eis-EExampple-E-C-*-_--C-', 'cc-cggss-c---sxxcgapshhi---a-2---sa-ac-c---hisxa3e----ample', '-A-B-*_-E-C-Ex-2\nmple\tExample__E__c-c-c---sx3', 'ExpampA-B-*_le', '2hsExampleExtEleEasRentenceleEthisxa3esc-c--tE2-2h-is-', 'sRentenceleEthisxa3esc-c--', 'thitExmE3thitssxa3eisxpampleampExampleEtles', 'hisExampBig_gaps-between_words-in_this_sentenceleEthisxa3_es', '-Ex-22\nmple\tExample-3', 'Exa-E', 'hhis2---sa-ac-c---h-isx', '2---sa-ac-c-i--h-isxa3e', '_', '_a_b_c_', '_a__b__c_', '-', '_a-b_c__', 'ABC', '1_2_3', '百度是中国最大的搜索引擎', 'Big_gaps-between_words-in_thce', 'Big_gaps-between_words-in_this_sen3tence', '__Big_gaps-between_words-in_thce-', '-mple', '__Big-', 'mple', '__Big_gaps-between_words-Big_gaps-between_words-in_this_sen3tencein_thce-', '__Big-Example-2', 'Exa_1_2_2_mplle', '-gaps', 'wor__Big_gaps-between_words-Big_gaps-between_words-in_this_sen3tencein_thce-ds', 'thce', 'mmple', '-Example__1_', '-Example_2', 'sen3tence', 'mmpleExample__1', '__Big-ExamExaple-2', 'Big', '-Example-2-', 'Exa_1_2_2_mpsen3tencee', 'ExamExaple', 'Exxa', '-A-BExample-', '_Big_gaps-between_words-in_thce__', 'Big_gap-mples-between_words-in_thce', '-gaps_A-B-*_--C-', 'sen3tencein', 'se3n3tence', 'Big_gaps-between_words-in_this_sen3tence', 'mmpleExample', 'mplExa_1_2_2_mpsen3tenceees', 'Exa_1_2_2_mpl__Big-ExamExaple-2e', 'mmpleE1', '-A-B-*_--C__Big_gaps-between_words-in_this_sen3tence-_', '-A-gapsB-*_--C-', 't_Big_gaps-between_words-in_thce__his', 'Exa_1_2_2_mpExample__1sen3tencee', '__Big_gaps-between_words-in_thce-fKqrpAGA', 'EExample__1', '__Big_gaps-between_words-o_in_thce-', 'th-Exa_1_2_2\nmple\tExample-3s', 'BiBg', 'mfKqrpAGApleE1', 'EExampEle__1', 'BWnXAhX', '-', 'sen3tenncein', 'EExa', 'Ex-mmpleE1-ample__1', 'mpsen3tenceees', '_Big_gap-mples-between_words-in_thce', '-A-gaps-B-*_*--C-', '__Big_gaps-between_words-o_in_thce-', 'Ex-Example_2xa', 'EExample', '-A-gaps-B-*_*s--C-', '-sen3tenncein', '-le-', 'Exa_1_2_2_m', 'tthhce', 'Exa_1_2_2_mpsent3tencee', 'Exa_1_2__2_m', '-A-B-*_--C-mplExa', 'A-gapsB-*_--C', 'BWnXAh', 'fKqrpAGA', 'Exa_1_2_2_mp', 'Big_gaps-bet_ween_words-in_this_sentence', 'se3n3ntence', 'EExa_1_2_2_mpsent3tencee2xa', '-ExampleEx-Example_2xa_2', '-A-B--*_--C-mplExa', 'se3n-3tence', 'Exa_1_2_2_mpl__Big-ExamExa_1_2_2_me', 'ample', 'th-Exae_1_2_2\nmple\tExample-3s', 'BBig', '-A-x-', '-A-gapsB-_', 'ExxEa', '-gEExampleaps_A-B-*_--C-', 'sen3tence-', 'Bg', '-2', 'ExxA-xEa', '-', 'mplExa', '_Big_gaps-between_words-Big-in_thce__', 'ttse3n-3tencehhce', 'EEpxample', 'A-gapsB-**_--C', 'pBig_gap-mples-between_wo_rds-in_thce', '__Big-Exaple-2', 'm', 'sce', 'EEpxampl', 'xExxEA-xEa', '2xa', 'ExamExaplae', 'mmpleEmexample__Big_gaps-between_words-o_in_thce-1', 'Big_3tenceds-in_thce', 'gap', '-A-B-*---a-a-a---b-b-b-c-c-c---_--C-', 'ExamEA-gapsB-*_---Caple', 'isenn3tenncein_', '-le-', 'me', 'ggasen3tenceinp', 'Ex-Examplxe_2xa', 'BWnnX', 'EEpxampl-', 'tthhcewords', 'A-_B--*_--C', '-le-', 'EEx__a', '-gA-B-*---a-a-a---b-b-b-c-c-c---_--CEExampleaps_A-B-*_--C-', 'bet', '__Big-Exa_1_2_2\nmple\tExample-3-', 'mpl-A-x-', 'thh', '-x_Example-2', 'mplExa_1_2_2_mpsen3tenEExceees', 'A-gapsB--**_--C', '__Big_gaps-between_words-A-xin_thce-fKqrpAGA', '-x_Example-2gap', 'A-gapsB-', 'mm', 'Big_gaps-bet_ween_words-in_this_senbtence', '3tenceds', '2e', '-gaps_A-B-*_--C__msen3tenceinp_thce', '-gaps_A-B-*_--C__msen3tenceinp_thcae', 'mpscelle', 'se3n', 'Exaa', '-A-gapsB-_', 'EEExa_1_2_2_mpl__Big-ExamExaple-2e', 'ExamExbetweenlae', '-Exa_1_2_2\nmple\tE__Big_gaps-between_words-o_in_thce-xample-3', 'isenn3tenncein', '-ExampleEx-Example_2xa_2', 'BWn__Big-XAh', 'ExampleEx', 'ggasen3tenceinpsce', 'Big_gaps-bet_ween_words-in_this_senbtenc-A-gapsB-_e', '-x_ExamEEpxample_2', '__in_thce-', '2Big_gaps-between_words-in_thcee', 'tbet', 'sen3tencte', 'A-gapsB--**_--C_Big_gap-mples-between_words-in_thce', 'Big_gaps-between_wocrds-in_this_sen3tence', '__Big-1_2_2\nmple\tExample-3_', 'sen3tenecein', '2xExa_1_2_2_mpsen3tenceea', 'A-gaps-B-*_*--C', 'isennmpsen3tencee3tenncein_', 'mpsen3tenceeees', 'mpsent3tencee2xa', 'A-gapsB--**_--C_Big_gap-mples-between_words-in_thceEExample', 'betmples', '__Big_ga_ps-between_words-Big_gaps-between_words-in_this_sen3tencein_thce-', 'Exa_1_2_2_mpsen32tencee', 'Big_gaps-between_words-', 'pBiggap', 'mpsen3tenEExceees', 'rds', 'BiBgg', 'mmpleExample__ExampleEx1', 'mmpl__Big_gaps-between_words-o_in_thce-eExample__1', '-ExampExaplele__1_', 'Big_gaps__A-gapsB--**_--C_Big_gap-mples-between_words-in_thce__between_words-', 'Exa_1_2_2__ampsen3tencee', 'mplle', 'se3n-A-gapsB-_-C-', 'Big_gaps-between_words-in_this_sen3tenwce', 'tthhwords', 'pBig_gap-mples_in_thce', 'am-A-gapsB-_ExamExaple', 'BWnXsenbtenceAhX', 'CWSrjljyFR', 'Big_gaps-bet_weens-in_this_senbtenc-A-gapsBmplExa_1_2_2_mpsen3tenEExceees-_e', 'amplmmpleExample__ExampleEx1', 'ttse3n-3tencehhce-Example-2', 'gaa', '-Ethcele__1_', '-Example__2', 'th-Exa_1_2_2\nm3s', '-Exa_1_2_2\nmple\tE__Big_gaps-betwe2Big_gaps-between_words-in_thceeen_words-o_in_thce-xample-3', 'e', '-ExampExaplelea__1_', 'A-gapsB--**_--C_Big_gap-mples-between_words_n-in_thce', 'sen3tenc__Big_gaps-between_words-o_in_thce-te', 'weens', '-A-B--*_--C-mExampleplExa', 'mExampleplExa', 'th-Exa_1_2_2\nmple\tExample-3smp', 'wse3n3ntenceor', 'eExample', 'Exa-ExampExaplele__1_1_2_2__ampsen3tencee', 'isennmpsen3tencee3tennceinbet', 'se3n-A-gap_-C_3__', 'mmpleExample_gA-B-*---a-a-a---b-b-b-c-c-c---_--CEExampleaps_ExampleEx1', 'bets', 'mp', '-A-Bb-c-c-c---_--C-', 'EEpx', '-A-B--_*_--C-mplExa', 'ExamEA-gapsB-*_a--m-Cap', '__Bi-Exaple-2', 'pBig_gap-*_--C-mples-between_wo_rds-in_thce', 'BWnX-Ah', 'xExxEA-xEaExae', 'sen3tenc', 'mmpleExample_p_1', 'tthh', 'isennmpsen3teEExampEle-Example__2ncee3tennceinbet', '__a-', '__Big_gaps-between_wordae-fKqrpAGA', 'BWnX-mmpleExample_p_1Ah', '-Ethcele__1_', 'ebS', 'A-gaps-B-*_*s--C', 'eaxa', 'rrds', 'sece-', 'pBig_gap-*_--C-mples-bet-A-gaps-B-*_*--C-ween_wo_rds-in_thce', 'A**_--C_Big_g_ap-mples-bempl-A-x-hce', 't_Biig_gaps-between_wordshis-in_thce__his', 'ExamExaEple', '-Example-2mpsen3tenceea-', 'BWnXAxExxEA-xEaExaeX-Ethcele__1_', 'ps', 'a', 'isennmpsen3tencee3tennceintbet', 'ExampExaplelea', '-Exa_1_2_2\nmple\tE__Big_gaps-betwe2Big_gaps-between_words_xExxEA-xEaExae-in_thceeen_words-o_in_thce-xample-3', 'pmp', 'n-3tencehhce', 'rNfUBspa', '-Epxample-2-', 'wocrds', '_Ex-Examplxe_2xaA-B-*_--C-mplExa', 'rNfteUBspa', 'Bigmpsent3tencee-in_this_sentence', 'esen3tencempsen3tenEExceee3s-', '-mpl__Big-ExamExaple-2e', 'EEEpx', 't_Biig_gaps-between_wordshis-in_thce_t_his', '-x_xample_2', 'betmeples', 'th-Exa_1_2_2\nm3sBig_gaps-between_words-in_thce', 'te', '__Big-ExamExaple-2ExamExbetweenlae', 'XRSIx', 'BWnXAXhX', '-A-gapsB--ExamEEpxamplemplExa', '__Big-1_2_2\nmple\tEx2ample-3_', 'A-gapsB-B*_--C', 'th-Big-gaps-bet_ween_words-in_this_senbtenc-A-gapsB-_eExa_1_2_2\nmple\tEx__3smp', 'mpsece-lExa', 'tth', '__mpsent3tencee-', 'ExagmEA-gapsB-*_---Caple', 'ggasen3tenp', 'mmpleEsen3tenc__Big_gaps-between_words-o_in_thce-temexample__Big_gaps-between_words-o_in_thce-1', 'm3sBig', 'Exa_1_2_', 'BWnXhceAh', 'smpl-A---a-a-a---b-b-b-c-c-c----x-ece-', 'XBWX', 'A-B-*_-C', '__Big_gaps-betwneen_words-o_in_thce-', '__a-', 'sp', 'mpsen3tenEExceees-', 'EExampEle', 'BWnXAXhEEpxamplX', '3tencehhce', '-A-B--*mm_--C-mExampleplExa', '-gaps--_C__msen3tenceinp_thcae', 'Exa_1_2_2_m_psen3tencee', 'lmmple', 'secn3tExa_1_2_2_mpsent3tenceeencte', 'Exaisennmpsen3tencee3tennceinbet1_2_', '-Exa_1_2_2\nmple\tE__Big_gaps-betwe2Big_gaps-between_words_xExxEA-xEaEhxae-in_thceeen_words-o_in_thce-xample-3', '-Examaple__2', 'tben-3tencehhcebt', 'betmEx-Example_2xaples', 'ebBig_gaps-between_words-in_this_sen3tenceetween', 'A-B-*---a-a-a---b-b-b-c-c-c---_--C', 'senbtenc', 'BWn_i_Big-XAh', 'mmpleEsen3tenc', 'Examplxe', 'th-Exa_1_2_2\nmple\tExampale-3smp', 'tthhX', 'sen3tenwce', 'EExEampEle', 'mpsen33tenceees', '__e_A-B--*mm_--C-mExampleplExa', 'tthhrwords', 'ebese3n-A-gap_-C_3__tsExxEa', 'Big_gaps-between_words-in_this_sebSentencte', '-x_ExamEEpxample_2__Example_2', 'Ex2ample', 'betms', '__Big_gaps-betweentthhcewords_words-o_in_thce-', 'smpl-A---a-a-a---b-b-b-c--c-c----x-ece-', 'm-le-ple', 'BWnXpAXhEEpxamplX', 'mmpleEsen3tenc__Big_gaps-beBWnX-Ahtween_words-o_in_thce-temexample__Big_gaps-between_words-o_in_thce-1', 'gga-A-x-sen3tencce', 'pl-A-B-*_--C__Big_gaps-between_words-in_this_sen3tence-_ee', 'mpsen3ttenceemmpleExample__1s', 'mpsecmpscellee-lExa', 'plmmple', 'lmmpletthhcewords', 'wo__Big-EEExample__1ds', 'Big_gaps-between_words-in_s_sentence', 'am', 'Big_gaps-bet_ween_words-in_tsentence', 'epBig_gap-mples_in_thce', 'psen3tencee', 'A-gapsB--**_s--C', 'Big_gaps-between_words-iExaen_this_sen3tenwce', 'th-Exa_1_2_2\nmmple\tExampale-3smp', 'meaxaplle', '-Exa_1_2_2\nmple\tE__Big_gaps-betwe2Big_gapmpsen3tenEExceees-between_words_xExxEA-xEaExae-in_thceeen_words-o_in_thce-xample-3', 'pBgig', 'A-gap--**_s--C', 'mmmpleExample', 'mExa_1_2_2_mpl__Big-ExamExaple-2ee', 'ExampleEx1', 'ggasenp3tenp', 'XBWXX', 'betwneen', '2hcee', 'BWnplX', '2xExa', 'pBgiBg', 'EA---a-a-a---b-b-b-c-c-c----x2_mpsent3tencee', 't_Biig_gaps__e__between_wordshis-in_thce__his', 'Big__gaps-between_words-in_this_sen3tence', 'bteet', 'mpsen33temmpleEmexample__Big_gaps-between_words-o_in_thce-1nceees', 'BWnAXAh', 'BWnXAXhEEpxampllX', 'senbtence', 'ampl3tencehhcele', 'mfKqrpAGAlpleE1', '-A-gaps-B-*_*Bigmpsent3tencee-in_this_sentence--C_-__', '__Bigi-', 'mmpleExA-_B--*_--Cample_p_1', '-Exa_1_2_2\nmple\tE__Big_gaps-betwe2Big_gaps-between_words_xEx-xEA-xEaExae-in_thceeen_words-o_in_thce-xample-3', 'smpl-A---a-a-a---bisennmpsen3tencee3tenncein-b-b-c--c-c----x-ece-', 'A-Bb-c-c-c---_--C', 'tbsenbtencet', 'Big_gaps-bet_weens-in_this_senbtenc-A-gapsBmplsExa_1_2_2_mpsen3tenEExceees-_e', 'Exaisennmpsen3tencee3tennceinbet1', '-xExxEA-xEaExae__Ethcele__1_', 'Bmpsent3tenceetween_words-', 'A-Bf-*_-mfKqrpAGApleE1C', 'crdsExamplxe', 'betmEx-Epxample_2xaples', 'A-gapsBmplsExa', 'mmmp', '_Big_gaps-between_words-Big-in_', '-A-B--ExamEA-gapsB-rNfUBspa*_---Caple*_--C-mplEx', 'mpsen33temmpleEe-1nceees', 'senbteenc', 'ExapleEx', 'thisebBig', 'mpl-A-C-x-', 'EamExbetwe-Ethcele__1_enlae', 'Exa_1_2_2_mpExample__1__Big-sen3tencee', 'ebBigmp', 'pBig_gap-*_--C-mples-ebSbetween_wo_rds-in_thce', 'E-Ethcele__1_enlae', 'mmmm', 'mpsen3ttenceemmpple', '1nceees']
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(fix_spaces)
print('___SENTINEL___')
| bfe0bf76ae54b3ccdf616f709f74a413 |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-4
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-04, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [['Example'], ['Example 1'], [' Example 2'], [' Example 3']]
results = ['Example', 'Example_1', '_Example_2', '_Example-3']
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(fix_spaces)
print('___SENTINEL___')
| ab8eac8b9d320d01494ff6d422d61a92 |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-6
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-07, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [['example.txt'], ['1example.dll'], ['s1sdf3.asd'], ['K.dll'], ['MY16FILE3.exe'], ['His12FILE94.exe'], ['_Y.txt'], ['?aREYA.exe'], ['/this_is_valid.dll'], ['this_is_valid.wow'], ['this_is_valid.txt'], ['this_is_valid.txtexe'], ['#this2_i4s_5valid.ten'], ['@this1_is6_valid.exe'], ['this_is_12valid.6exe4.txt'], ['all.exe.txt'], ['I563_No.exe'], ['Is3youfault.txt'], ['no_one#knows.dll'], ['1I563_Yes3.exe'], ['I563_Yes3.txtt'], ['final..txt'], ['final132'], ['_f4indsartal132.'], ['.txt'], ['s.'], ['example.py'], ['my.docx'], ['hello world.exe'], ['alice.123.txt'], ['abc123def.exe'], ['1script.bat'], ['validfile.txt'], ['.exe'], ['123.txt'], ['file.doc'], ['.ex'], ['heello world.exe'], ['ffile.docile.doc'], ['.exalice.12123.txt3.xtxte'], ['.exalice.123.txt'], ['.exmy.docx'], ['fle.doc'], ['1script.batt'], ['.exalic1script.bate.123.txt'], ['.exalice.123..exalice.123.tx.t'], ['my.dcx'], ['.exmy.docx.exe'], ['..ex'], ['abc123defexe'], ['hello world.exe.exmy.docx.exe'], ['alice.123.taxt.i.ex'], ['abcheello world.exe123defexe'], ['heell.exalice.12123.txt3.xtxteo world.exe'], ['.exalice.12123.ex.txt3.xtxt.e'], ['filc'], ['.eex'], ['alice.123.i.ex'], ['.e.ex'], ['.exal.123.txt'], ['123.ttxt'], ['.efile.doc.ex'], ['1script.ba.exet'], ['alice.123.i.1script.batex'], ['.exali123.ttxtc1script.bate.123.txt'], ['alice.123.i.exalice.123.txt'], ['hello world1script.bat.exe.exmy.docx.exe'], ['alice.exali123.ttxtc1script.bate.123.txt.123.i.ex'], ['.efile.dex'], ['alice.l12l3.i.exalice.123.txt'], ['.efil.exal.123.txte.dex'], ['validftile.txt'], ['1script.ba.eexert'], ['hello world1script.bat.exe.exmy.docx.exealice.12i.ex'], ['.exmy.docx.efil.exal.123.txte.dex.exe'], ['hehello world.exe.exmy.docx.exello world.exe'], ['1script.ba.xet'], ['.exali123.ttxtc1script.bate.123.tx.efil.exal.123.txte.dext'], ['.exali123.ttxtc1script.bate.123.tx.efil.exal.123.txte.defile.docxt'], ['FX'], ['.heello world.exeexalice.123..exalice.123.tx.t'], ['alice.123.i.exalice..123.txt'], ['file.dolc'], ['hehello world.exe.exmy.docx.exelwlo world.exe'], ['.exalict1script.bate.123.txt'], ['....ex'], ['validfilve.txtFX'], ['.exali123.ttxtc1script.bate.123.tx.efil.exal.123.txte.dex.exm1y.docxt'], ['....e.eexx'], ['mhello world.exe.exmy.docx.exey.dcx'], ['valfile.txit'], ['alicealice.exali123.ttxtc1script.bate.123.txt.123.i.ex.l12l3.i.exalice.123.txt'], ['.eex1script.ba.exet'], ['alice.l12validfile.txtl3.i.exalice.123.txt'], ['1.txt'], ['...ex'], ['.eeex'], ['.exmy.docx.FXexe'], ['.exali123.ttxtc1sc..exript.bate.123.tx.efil.exal.123.txte.dext'], ['hello worl.d.exe'], ['....e.eeheell.exalice.12123.txt3.xtxteo world.exe'], ['abcheelrld.exe123defexe'], ['alice.l12validfile.txtlalice.exali123.ttxtc1script.bate.123.txt.123.i.ex3.i.exalice.123.txt'], ['.exali123.ttxtc1scriptt.bate.123.txt'], ['.heello world.exheell.exalice.12123.txt3.xtxteo world.exeeexalice.123..exalice.123.tx.t'], ['.exalice.12121232d.efexexte'], ['.exalice.l12validfile.txtl3.i.exalice.123.txtal.123.txt'], ['.exalice.l12validfile.txtl3.i.my.docx'], ['.exhello worl.d.exealic1script.batFXe.12.txt'], ['.exmya.docx.efil.emy.docxxal.123.txte.dex.exe'], ['.exali123c.ttxtc1script.bate.123.txt'], ['.exali123alice.exali123.ttxtc1script.bate.123.txt.123.i.exc.ttxabc123defexetc1script.bate.123.txt'], ['alice.l12validflile.txtl3.i.exalice.123.ttxt'], ['1script.batt.exalic1script.bate.123.t'], ['.e.exali123.ttxtc1script.bate.123.tx.efil.exal.123.txte.dextfile.doc.ex'], ['.exalice.12123.txxtxte'], ['1script.bai.exet'], ['.exa.exalice.12123.txt3.xtxteli123.ttxtc1scriptt.bate.123.txt'], ['ffile.d.efile.doc.exocile.doc'], ['validfilalice.l12validflile.txtl3.i.exalice.123.ttxte.txt'], ['.efil.exal.validftile.txt123.txte.dex'], ['.eee'], ['.exalice.123.txt.exalice.123..exalice.123.tx.t'], ['.exal.123my.docx.txt'], ['.efile.dxoc.ex'], ['.exmy.docx.FX1script.ba.exetexe'], ['therearemorethan3digits1234567890inthisname.exe'], ['example.'], ['.example'], ['alreadyexists.txz'], ['éxample.exe'], ['.tx.to.'], 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['1.exexamQI_have_no_de.Qalreadyexis1ts.txzf1.exam123.exeplee23.exempleigits_or_d.3.exeeplabcd.ctp.lQflp.lQQfI_have_no_de.QalreadyabctxI_have_no_de.exampleigits_or_do_tsaalreadyexists.example.txzttexis1ts.txzf1.exam123.exeplQe23.exempleigits_or_do_txtt.tx.to.g3.exeepleexxtto_tesflgpleam123.exeple23.exe'], ['1.exexamQI_have_no_de.Qalreadyexis1ts.txzf1.exam123.exeple23.exempleigits_or_do_tesflgplea1.exaem123.exeple2eem123.exI_have_no_de.Qalreadyexis1ts.txzf1.exam123.exeple23.exempleigits_or_do_teseple23.exe'], ['abcd.x.txtt.txe.to.I_have_no_digits_or_dots'], ['aabcd.x.txtt.tx.to.I_alreadyyexists.exampp.3.exeepleetxzhav_doct'], ['I_have_no_de.exampltherearemorethaéxampl1.exaem123abI_have_éxample.exaen1.exam123.exeple23.exeo_digits_or_dotsalreadyexistealrep.3.exeepleeabcd.xt.txtt.tx.to.adI_hlave_ists.example.txzs.txzQct.exeple23.exee.exaen3digits1234567890inthisnamae.exeeigits_or_do_ts'], ['I_have_mno_de.Qalreab1.exam123.exeple23.exetxttadyexists.txzf1.exam123.exeple23.exemplehigitsalr_do_ts'], ['éxampl1.exaeam123abI_hCFave_éxample.exaen1.exam123.exeple23.exeo_digits_or_dotsalreadyexists.txzQct.exeple2'], ['.exxaem'], ['e.examplcttxtt'], ['examxem123.exeplabctxéxeealreadI_hlave_ists.example.txzxampleample.exette'], ['1.exxaem123.exeple2ee'], ['there.aremorethan3digits1.tx.to.234567890inthisname.exe'], ['ealreadI_hlavthe.tabctxéxam.exam12.tx.to.xeplple.exettxexamlplexample._abthave_n_dose..to.rearemorethan3digits123456890inthisnamep.3.exeepleeabcd.xt.txtt.tx.to..exee_ists.example.txz'], ['I_haveI_n_dots'], ['éxa1mplx1.exaem123.exeple23.exee.exae'], ['NPsZuOM'], ['eaalreadI_hlave_ists.examtherearemorethan3digits1.tx.to.234567890inthisname.exeple.txI_have_mno_de.Qalreab1.exam123.exeple23.exetxttadyexists.txzf1.exam123.exeple23.exemplehigitsalr_do_tsz'], ['I_have_no_de.exampleigits_or_I_have_no_de.Qalreadyexistsalralreadyexists.txzeadyexiI_have_n_dotssts.example.txzm.txzf1.exam123.exeple23.exempleigitthaabcd.x.txtt.tx.to.I_have_no_digits_or_dotsbcterearemorethan3digits1234567890inthisname.exes_or_do_ts.3.exeeplabcd.ctxxdttdo_ts'], ['ealreadI_hlavthe.tabctxéxam.exam12.tx.to.xeplple.exettxexamlplexample._abthave_n_dose..to.rearemorethan3digits123456890inthisnamep.3.exeepleeabcd.xt.txtt.tx.to..exee_rists.example.txz'], ['therearemorethan3digits1.tx.toabct.2abcd.ctxxtherearemorethan3digits1.tx.to.234567890inthisname.exettexample.txz56123.exe7890inthisname.exe'], ['I_hQave_no_de.Qalreadyexists.ts'], ['abctaxatt'], ['p.lQQfI_have_no_de.Qdo_tsaalreadyexists.example.txzttexis1ts.txzf1.exam123.exeple23.exempleigits_or_do_txtt.tx.to.'], ['ealreadI_hlavthe.tabctxéxam.exam12.tx.to.xeplple.exemple.ttxexamlplexample._abthave_n_dose..to.rearemorethan3digits123456890inthisnamep.3.exeepleeabcd.xt.txtt.tx.to..exee_rists.example.txz'], ['ealreadI_hlavthe.tabctxéxam.exam12.tx.to.xeplple.exettxexamlplexample._abthave_n_dose..to.rearemorethan3digits12345abctaxatt6890inthisnamep.3.exeepleeabcd.xt.txtt.tx.to..exee_ists.example.txz'], ['there.aremorethan3digitms1.tx.to.234567890inthisname.exe'], ['alreadI_have.tx.to._ists.ep.3.exeepleexample.txzeebab'], ['e.examplmeabctxtt'], ['12I_have_no_digits_or_dots3.ex_éxampl1.exaeam123abI_hCFave_éxample.exaen1.exam123.exeple23.exeo_digits_or_dotsalreadyexists.txzQct.exeple23.exee.exaee'], ['alreadI_have_n_dotsyexists.example.txI_have_no_de.exampleigits_.exam112.tx.to.xeplor_do_tsvz'], ['I_haabctxI_have_no_de.exampleigzflgists.txz'], ['I_haxempleigits_or_dxo_ts.3.exeeplabcd.ctxxttdo_ts'], ['I_haxempleigits_or_dxo_ts.3.exeeplabcd.ctxxtabttdo_ts'], ['1.exaem123..exepealreadI_hlave_ists.exp.lQQfI_have_no_de.QalreadyabctxI_have_no_de.exampleigits_or_do_tsaalreadyexists.eexample.txzttexies1ts.txzf1.exam123.exeple23.exempleigits_or_do_txtt.tx.to.ample.txzle2ee'], ['exaQmple.T'], ['1.exexamQI_have_no_de.Qalrenadyexis1ts.txzf1.exam123.exeple23.exempleigits_or_do_tesflgpleam123.exeple23.exe'], ['abcd.x.txtt.txe.to.I_have_no_digits_aobr_dots'], ['1.exexamQI_have_nao_de.Qalream123ts_or_do_tesflgpleam123.exeple23.exe'], ['éxampl1.etherearemoreethan3digits123456890inthisname.exexaem123abI_have_éxample.exaen1.exam123.exeple23.exeo_digits_or_dotsalreadyexists.txzQct.exeple23.exee.exae'], ['1.exe.examp.3.exeeplabcd.ctp.lQflp.lQQfI_have_no_de.QalreadyabctxI_have_no_de.exampleigits_or_do_tsaalreadyexists.example.txzttexis1ts.txzf1.exam123.exeple23.exempleigits_or_do_txtt.tx.to.g3.exeepleexxttlctxttéxample.exaeaem123.exeple23xe'], ['I_have_no_dtigits_Qalreadyexists.txzflgor_dotasalreQzflgists.txz'], ['I_have_mno_de.Qalreab1.exam123.exeple23.exetxttadyexists.txzf1.exam123.exeple23.exemplehigitsalr_do_tséxample.pexaae'], ['I_haxempleigits_or_dxo_ts.3.exeeplabcd.cexamlplI_have_n_dose.txxttdo_ts'], ['therearemor'], ['NVPsZM'], ['I_have_no_de.QalreadyabctxI_have_no_de.exampleigits_or_do_tsattexis1ts.txzfe1.I_have_no_de.QalreadyexistsI_have_no_de.QalreadyabctxI_havex_no_de.exampleigits_or_do_tsattexis1ts.txzf1.exam123.exeple23.exempleigits_or_do_tesam123.exeple23.exempleigits_or_do_ts.3.exeeplabcd.ctxxttpexam123.exeple23.exempleigits_ores'], ['I_haabctxI_have_no_de.exampleigzflgiaabcd.x.txtt.tx.to.I_have_no_digits_or_dotsbctsts.txz'], ['.eam'], ['p.lQQfI_have_no_de.QalreadyabctxI_have_no_de.exampleigits_or_do_tsaalreadyexists.example.txztteabctI_have_n_dotsxI_have_noleigits_or_do_txtt.tx.to.123.exe'], ['alreadye1.exe.examp.3.exeeplabcd.ctp.lQflp.lQQfI_have_no_de.QalreadyabctxI_have_no_de.exampleigits_or_do_tsaalreadyexists.example.txzttexis1ts.txzf1.exam123.exeple23.exempleigits_or_do_txtt.tx.to.g3.exeepleexxttlctxttéxample.exaeaem123.exeple23xe.txz'], ['abctxéxe.exett'], ['I_have_no_dae.QalreadyabctxI_have_no_de.exampleigits_or_do_tsattexis1ts.txzf1.exam123.exeple23.exempleigits_or_do_tes'], ['éxample.e.3.exeeplabcd.ctp.lQflg3.exe'], ['éxampl1.exaem123abI_have_éxample.exaen1.exam123.exeple23.exeo_digits_or_dotsalreadyexists.txzQcéxample.e.3.exeeplabcd.ctp.lQflg3.exeepleexxttxaet.exeple23.exee.exae'], ['alralreadyexists.txzeadyexistabctxI_have_no_de.example_tsatts.example.p.3.exeepleez'], ['alreadI_have_n_dotsyexists.exam1.exexamQI_have_no_de.Qalreadyexis1ts.txzf1.exam123.exeple23.exempleigits_or_do_tesflgpleam123.exeple23.exeple.txvzb'], ['alreadI_havab1.exam123Qalreadyexists.txzflg.exeple23.exetxette_ists.example.txzee'], ['therearemorethan3digits1.tx.to.9r0inthisname.exe'], ['F'], ['exampleec.exampleabctxtt'], ['therearemorethan3digits1.tx.toabct.2abcd.ctxxtherearemorethan3digits1.tx.to.234567890inthisname.exettexample.txz56123.exe7890insthisname.exe'], ['e.examplcttxtet'], ['alreadI_have.tx.to._ists.ep.3.exeepleeI_have_no_de.exampleigits_or_I_have_no_de.Qalreadyexists.txzf1.exam123.exeple23.exempleigits_or_do_ts.3.exeeplabcd.ctxxdttdo_tsxample.txzee'], ['cd.x.NVPsZMtxtt'], ['I_have_no_de.QalreadyabctxI_have_no_de.examipleigits_or_do_tsattexp.lQflg3.exeepleeis1ts.txzf1.exam123.exeple23.exempleigits_or_dos'], ['p.lQQfI_have_no_de.QalreadyabctxI_have_no_de.exampleigits_or_do_tsattexis1ts.txzf1.exdam123.exedple23.exempleigits_or_do_teslg3.exeepleeabcd.xt.txtt.tx.to.'], ['oI_have_no_digits_o'], ['ealreadI_hlavthe.tabctxéxam.exam12.tx.to.xeplple.exettxexamlplexample._abcttxéxample.exettabthave_n_dose..to.rearemorethan3digits12345abctaxatt6890inthisnamep.3.exeepleeabcd.xt.txtt.tx.to..exee_ists.example.txz'], ['alreadI_have_n_dotsyexists.exa1.exe.examplctxttaem123.exeple23xemple.txvz'], ['examéxample.e.3.exeeplabcd.ctp.lQflg3.exexm123.exeple'], ['alreadI_have_n_dotsyI_have_no_de.exaaTmpltherearemorethan3digits1234567890inthisnamae.exeeigits_or_do_tseCFxists.example.txvz'], ['I_have_no_dtigits_Qalreadyexists.txztxz'], ['therearemor1.exe.examplctxttaem123.exeple23xeethan3digits1.tx.to.23456123.exe7890inthisnameabcd.ctxxttexe'], ['abctxéxeexaQmple.Ttt'], ['eealreadI_hlave_istI_have_no_de.QalreadyabctxI_have_no_de.exampleigits_or_do_tsattexis1ts.txzf1.exa123.exeple23.exempleigits_or_do_tess.example.txzxample'], ['I_have_mno_de.Qalreab1.exam123.exeple23.exetxttadyexists.txzf1.exam123.exeple23.exemplehigitsalr_do_tséxatherearemrorethan3digits1.tx.to.234561eabcd.ctxxttexemple.pexaae'], ['1.exexamQflgpleealreadI_hlave_ists.exp.lQQfI_have_no_de.QalreadyabctxI_have_no_de.etherearemorethan3digits1.tx.toabct.23456123.exe7890inthisname.exexampleigits_or_do_tsaalreadyexists.example.txzttexis1ts.txzf1.exam123.exeple23.exempleigits_or_do_txtt.tx.to.ample.txzam123.exple23.exe'], ['p.lQQfI.eameple23.exempleigits_or_do_txtt.tx.to.'], ['oI__have_no_digits_or_dotrs'], ['abctabcd.x.txtt.txe.to.I_have_no_digits_or_dots'], ['alreadyextists.txz'], ['examlplexample._have_n_dose.I_hp.3.exeepleeabcd.xto.salreQflgists.txnz'], ['exéxampl1.etherearemoreethan3digits123456890inthisname.exexaem123abI_have_éxample.exaen1.exam123.exeple23.exeo_digits_or_dotsalreadyexists.txzQct.exeple23.exee.exaeple'], ['12I_have_no_digits_or_dots3.ex_éxampl1.exaeam123abI_hCFave_éxample.exaen1.exam123.exeple23.exeo_digits_or_dotsalreadyexists.txzQct.ep.lQQfI_have_no_de.QalreadyabctxI_have_no_de.exampleigits_or_do_tsaalreadyexists.example.txztteabctI_have_n_dotsxI_have_noleigits_or_do_txtt.tx.to.123.exexeple23.exee.exaee'], ['I_have_mno_de.Qalreab1.exam123.exeplem23.exetxttadyexists.txzf1.exam123.exeple23.exemplehigitsalr_do_ts'], ['therearemexample.T.to.23456i7890inthisname.e'], ['.31.exexamQI_have_no_de.Qalreadyexis1ts.txzf1.exam123.exeplee23.exempleigits_or_do_tesflgpleam123.exeple23.exe.e123.exexeeplabcd.ctp.eexxtt'], ['alreadI_have_n_dotsyeCFxists.nexample.txvz'], ['p.lQQfI_have_no_de.QalreadyabctxI_have_no_de.exampleigits_or_do_tsattexiNVZuOMM.3.exeeplees1ts.txzf1.exam123.exedple23.exempleigits_or_do_teslg3.exeepleeabcd.xt.txtt.tx.to.'], ['lQQfI_have_no_de.QalreadyabctxI_have_no_de.exampleigits_or_do_tsattexis1ts.txzf1.exam12its_or_do_teslg'], ['ealhreadI_hlave_ists.example.txz'], ['therearemoreI_have_n_dotabcQalreadyexists.ttxzflxgtsthan3digits1234567890inthisname.exe'], ['éxample.e.3.exeeplaexaQmple.Tbcd.ctp.lQflg3.exeepleexxttxae'], ['1.exe.examplctxttaem3123.exeple23xe'], ['therearemor1.exe.examplctxttaem123.exeple23xeethan3digits1.tx.to.23456123.exe7890inthisnameabcd.ctxxttI_have_mno_de.Qalreadyexists.txzf1.exam123.exeple23.exempleigitsalreadI_have_ists.example.txz_or_do_tse'], ['examlplexample._have_n_I_have_no_digits_or_dotsaltreadyexists.txzdose.I_have_no_digits_Qalreadyexists.txzflgor_dotsalreQflgists.txnz'], ['éxa1mpl1.exaem123.exoI__have_no_digits_or_dotrseple23.exee.exae'], ['therearemor1.exe.examplctxttaem123x.exeple23xeethan3digits1.tx.to.23456123.exe7890inthisnameabcd.ctxxttexe'], ['NPsZ1.exexamQI_have_nao_de.Qalream123.exeplee23.exempleigits_or_do_tesflgpleam123.exeple23.exeuOM'], ['exam1ple'], ['p.3.exeepleealralreadyexists.txzeadyexiI_have_n_dottssts.example.txzabcde.exampleabctxtt.xt.txtt.tx.to.'], ['I_have_no_dtigits_Qalreadyexists.txzflgor_dotsalreQzflgistI_have_no_de.QalreadyabctxI_have_no_de.exampleigits_or_do_tsattexis1ts.txzf1.exa123.exeple23.exempleigits_or_do_tess.txz'], ['1.exexamQI_have_no_de.Qalreadyexis1ts.txzf1.exam123.exeplee23.exempleigits_or_do_tesflgpleam123.exeple23e.exe'], ['.ep.3.exeepleealralreadyexists.txzeadyexiI_have_n_dotssts.example.txzabcde.exampleabctxtt.xt.txtt.tx.to.am'], ['I_have_no_de.exampleigits_or_I_have_no_de.Qalreadyexists.txzf1.exam123.exeple23.exempleirtdo_ts'], ['I_have_mno_de.Qalreab1.examlplexample._have_n_I_have_no_digits_or_dotsaltreadyexists.txzdose.I_have_no_digits_Qalreadyexists.txzflgor_dotsalreQflgists.txnzséxample.pexaae'], ['éxampl1.exaI_have_no_de.Qalreadyexists.txzf1.exam123.exeple23.exempleigits_or_do_tseam123abI_hCFave_éxample.exaen1.exam123.exeple23.exeo_digits_or_dotsalreadyexists.txzQct.exeple23.exee.exae'], ['.exam112.tx.toI_have_no_digits_oepl'], ['ealreadI_hlavthe.tabctxéxam.exam12.tx.to.xeplple.texettxexamlplexample._abcttxéxample.exettabthave_n_dose..to.rearemorethan3digits12345abctaxatt6890inthisnamep.3.exeepleeabcd.xt.txtt.tx.to..exee_ists.example.txz'], ['Otherearemor1.exe.examplctxttaem123.exeple23xeethan3digits1.tx.to.23456123.exe7890inthisnameabcd.ctxxettI_have_mno_de.Qalreadyexists.txzf1.exam123.exeple23.exempleigitsalreadI_have_ists.example.txz_or_do_tseKI'], ['I_have_mno_de.Qalreadyexists.txzf1.exam123.exeple23.exempleigitsalreadI_have_istss.example.txz_or_do_ts'], ['I_have_no_de.exampleigits_or_I_have_no_de.Qalreadyexistsalralreadyexists.txzeadyexiI_have_n_dotssts.example.txzm.txzf1.exam123.exeple23.exempleigitthaabcd.x.txtt.tx.to.I_have_no_digits_or_dotsbcterearemorethan3digits1234567890inthisalralreadyexists.txzeadyexistabctxI_have_no_de.exampleigits_or_do_tsatts.example.p.3.exeepleezname.exes_or_do_ts.3.exeeplabcd.ctxxdttdo_ts'], ['éx'], ['tI_hQave_no_de.Qalreadyexists.txzf1.exam123.exeple23.exempleigits_or_do_tsherearemorethan3digits1.tx.to.23456123.exe7890inthisname.exe'], ['examlplexample._have_n_dose.I_have_no_digits_Qalreadyexists.txzflgor_dotsalrexamplee.exampleabctxtteQflgists.txz'], ['éxample.e.3.exeeplabcd.ctp.lQflg3.exeepleexxttexaeF'], ['exaexamplee.exampleabctxttmlplI_have_n_dose.'], ['1.exexamQI_have_no_de.Qalreadyexis1ts.txzf1.exam123.exeplee23.exempleigits_or_d.3.exeeplabcd.ctp.lQflp.lQQfI_have_no_de.QalreadyabctxI_have_no_de.exampleigits_or_do_tsaalreadyexists.example.txzttexis1ts.txzf1.exam123.exeplQe2e3.exempleigits_or_do_txtt.tx.to.g3.exeepleexxtto_tesflgpleam123.exeple23.exe'], ['1.exam123.exeple23éxampl1.exaeam123abI_hCFave_éxample.exaen1.exam123.exeple23.exeo_digits_or_dotsalreadyexists.t.exeple23.exee.exaee'], ['1.exexamQI_have_no_de.Qalreadyexis1ts.txzf1.exam123.exeplee23.exempleigits_or_do_tesflgpleam123.exeple.23e.exe'], ['I_have_no_de.exampleigits_or_I_have_no_de.Qtalreadyexists.txzf1.exam123.exeple23.exempleigits_or_do_ts.3.exeeplabcd.ctabctxéxample.exettxxttdo_ts'], ['examI_hQave_no_de.Qalreadyexists.txzf1.exam123.exeple23.exempleigits_or_do_tslplI_have_n_dose.'], ['examlplexample._have_n_I_have_no_digits_or_dotsaltreadyexists.txzdose.I_have_no_digitsi_Qalreadyexists.txzflgor_dotsalreQflgists.txnz'], ['aalreadI_have_n_dotsyexists.exa1.exe.examplctxttaem123.exeple23xemple.txvzbcd.ctxxtt'], ['gudadVYH'], ['therearemor1.exe.examplctxttaem123x.ep.3.exeepleealralreadyexists.txzeadyexiI_have_n_dotssts.example.txzabcd.xt.txtt.tx.to.xeple23xeethan3digits1.tx.to.23456123.exe7890inthisnameabcd.ctxxttexe'], ['p.lQQfI_have_no_de.QalreadyabctxI_have_no_de.exampleigits_or_do_tsaalreadyexists.example.txzttexis1ts.txzf1.exam123.exeple23.exempleigits_or_do_t_xtt.tx.to.'], ['1.exexamQI_have_nao_de.Qalream1alreadI_have_atatn_dotsyexists.exoample.txvz23ts_or_do_tesflgpleam123.exeple23.exe'], ['abI_haveI_n_dots1.elxam123.exeple23.exetxett'], ['ab1.examplpe23.exeett'], ['ealreadI_hlavthe.tabctxéxam.exam12.tx.to.xeplple.exettxexamlplexample._abcttxéxampI_haxempleigits_or_dxo_ts.3.exeeplabcd.ctxxtabttdo_tsle.exettabthave_n_dose..to.rearemorethan3digits12345abctaxatt6890inthisnamep.3.exeepleeabcd.xt.txtt.tx.to..exee_ists.example.txz'], ['exp.lQQfI.eameple23.exempleigits_or_do_txtt.tx.to.amplee.'], 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['o.eaabcalreadyexi.éxo.tx...tp.t.123example..exeo..to.to.ample.esttxztd.toxttbcd.txtt.ttherearemorethan3digits1234567890intéxamabCDLe.t.t.123.exeo..to.Qxcpd.txttple.ehisname.e.to.xample.t.to.example'], ['aebcaéxaebmple.exelreadyexisttxzd..e.t.t.123.exeo..to.Qrearemts1234567890inthisname.exe.x.to.ampletxtt'], ['o.aabcalreadyexisttxzd.txttbced.txtt.ttherearemorethan3digits1234567890inthisnax.to.exampple..tx...t..t.123example..exeéx.tx.to.aaebcalreadyexisttxzd.txttmabcd.txttple.eo..to.to.'], ['éx.eo.aebcaédsxaemple.exelreadytexisttxzd.txtttx..to.xxa.ttherearemorethan3digits1234567890inthisname.exe.x.to.amplealéxample.emabxcd.etxttplme.e'], ['alreéxamo.tx...t.t.123example..exeo..taebcalraebcalreaéxamabcd.txttple.éedyexisttxzd.txtteadyexisttxzd.txtto.ple.exée'], ['.éxo.tx...t.t.123examp1a2.exxaamplabcalreadyexisttxzd.txttle3.exele..exeo..to.to.ample.e'], ['éxtherearemorethan3digits1234567890inthisname.exeample.e'], ['.eaabcalreadyexi.éxo.tx...tp.t.123example..exeo..to.to.ample.esttxztd.toxttbcd.txtt.ttherearemorethan3digits1234567890intaabcalreadyexisttxzd.éxa.éxample.emabetxttbcd.txtt.CDLe.to.tx..eaabcalreadyexisttxzd.toxttbcd.txtt.ttherearemoraethan3drigits1234567890inthisname.exe.xo.xampleaebcaédsxaemple.exeelreadyexisttxzd.txtt.to..t.123.exeaabcalreadyexisttxzd.txttbced.txtt.tthereareméxaéxample.emabxcd.txlttplme.eorethan3digitsn1234567890inthisnax.to.exampple.o..to.Qttherearalreadyexina1me.exe7.x.to.hisname.e.toxample'], ['éxamabéx.tx.to.aaebcalreadyexisttxzd.txttmabcd.dtxttple.ecd.txtéttple.e'], ['ex.eaabcalreadyexi.éxo.tx...tp.t.123example..exeo..to.to.ample.esttxztd.toxttbcd.txtt.ttherearemor12.exxaamplabcalreadyexisttxzd.txttle3.exeethan3digits1234567890inthisnamoe.e.to.xampleameple'], ['ulUJxJwo.tux..to.'], ['émxaéxample.emabxcd..txlttplmxe..exampmlee'], ['.ttherearemorethan3diéxaéxample.emabxcd.txttple.egits1234567aebcaéxaemple.exelreadyexisttxzd.txtt890inthisname.exe.x.to.'], ['.ttherearemorethan3diéxaéxample.emabxcd.txttple.egits1234567890inthi.eo.tx..tlabcalreadyexisttxzd.txtto.xxa.ttherearemorethan3digits1234567890inthisname.exe.x.to.amplexzd.txtt.to.'], ['.eaabc.alreadyexisttxzd.toxttbcd.txtt.ttherearemoraethan3digits1234567890inthisname.exe.x.to.xample'], ['o..tx...t.t.123example..exeéx.tx.to.aaxebcalreadyexisttxzd.txttmabcd.txttple.eo..to.to.'], ['émxaéxample.emabxcd..txlttplmxe..exampxmlee'], ['o..tx.o..t.t.123example..exeéx.tx.to.aaebcalroeadyexisttxzd.txttdmabcd.txttple.eo..to.to.'], ['.eaabcalreadyexi.éxo.tx...tp.t.123example..exeo..to.to.ample.esttxztd.toxttbcd...ttx.to.txtt.ttherearemorethan3digits1234567890inthisname.e.to.xample'], ['aebcaéxaemple.exelreadyexisttxzd..eo.tx..to.xxa.ttherearemts1234567890inthisnam.ttherearemorethan3diéxaéxample.emabxcd.txttple.egits1234567890inthi.eo.tx..tlabcalreadyexisttxzd.txtto.xxa.ttherearemorethan3digits1234567890inthisname.exe.x.to.amplexzd.txtt.to.e.exe.x.to.ampletxtt'], ['o..tx.o..t.t.123example..exeéx.tx.to.aaebcalroeadyeéxaléxample.aemabxcd.txttplme.exidsttxzd.txttdmabcd.txttple.eo..to.to.'], ['alreaebcalreaéxamabcd..tbcd.txtt.ttherearemorethan3digits1234567890inthisname.edxe.x.xampletxtherearemorethan3digits1234567890inthisname.exettplet.edyexisdttxzd.txttadyexists.txz'], ['éaxama..ttx.to.becd.txttpléx.tx.to.aaebcalreadyexisttxzd.txtetmabcd.txttple.ee.ce'], ['aeaebcaédsxaemple.exelreadyexisttxzd.txttherearemorethan3digits12345eemxample.i67890inthisnhame.exeadyexisttxzd.txtt'], ['therearemorethan3digit.exe'], ['ulUJxJwo.taebaebcalreaéxamabcad.txttple.ttcaésxaemple.abcaléxaemple.exereadyexisttxzd.txttexelreadyexisttxzd.txttx..toYo.t.to.exampleUG.'], ['CDLe.Lt.t.123.exeo..to.Q'], ['aeaebcaédsxaemple.exelreadyexisttxzd.txttherearemorethan3digits12345eemxample.i67890intt'], ['therearemorethan3dampal.tx.to..reéxample.exeeleigits1234567890inthisname.exe'], ['éaxamabecd.txttpléx.tx.to.aaebcalreadyexisttxztxttmabcd.txttple.exe.e'], ['alreaebcttherearemorethan3digits1234567890inthisname.edxe.x.xampletxttplet.edyexisdttxzd.eaabcalreadyexisttxzd.txttbcd.txtt.ttherearemorethan3digits1234567890inthisname.edxe.x.xample.txttadyexists.txz'], ['éxa.éxample.emabxcd.txttpl.e.e'], ['aabcalreadyexisttxzd.txttbcd.txtt.ttherearemHlHeoaebcaéxaempredadyexisttxzd.txttrethan3digits1234567890inthisn.'], ['fAefFQan.ttoherearemorethan3digi.ZV'], ['.eaabcalreadyexisttxzd.txttbcd.txtt.tth12.exxaamplabcalreadyexisttxzd.txttle3.exeerearemorethan3digits123abcd.txtt.ttherearemorethan3digits1234567890inthisname.exe.x.to.67890inthisname.exe.x.to.xample'], ['éxaéxample.emabxcd.txlttplemme..exampm.exampmllee'], ['.ttt.to'], ['o.ttxt.tto.'], ['aebcaéxaemple.exelreadyexisttxzd..eo.tx..to.xxa.ttherearemts1234567890inthisnam.ttherearemorethan3diéxaéxample.emabxcd.txttple.egits12345HlHe67890inthi.eo.tx..tlabcalreadyexisttxzd.txtto.xxa.ttherearemorethan3digits1234567890inthisname.exe.x.to.amplexzd.txtt.to.e.exe.x.to.ampletxtt'], ['.éxo.tx...tp.t.1223example..exeo..to.to.ample.e'], ['aabulUJxJwo.taebaebcalreaéxamabcad.txttple.ttcaésxaemple.abcaléxaemple.exereadyexisttxzd.txttexelreadyexisttxzd.txttx..toYo.t.to.exampleUG.calreadyexisttHleoerearemorethan3digits1234567890inthisn.'], ['.eaabcalreadyexistttxztd.toxttbcd.txtt.ttherearemorethan3digits1234567890inthisname.e.xe.x.to.xample'], ['éxamabxcd.txtHleetple.e'], ['éaxamabecd.txttpléx.tx.to.aaebcalreadyexis.eo.txéxamabCDLe.t.t.123.exeo..to.Qxcd.taabcalreadyexisttxzd.txttbcd.txtt.ttherearemorethan3digits1234567890inthisn.ttple.e..to.xxa.tthereCDLe.t.t.123.exeo..toQarem3orethan3digits1234567890inthisname.exe.x.to.ampléx.tx.to.aaebcalreadyexisttxzd.txttmabcd.txttple.eettxzd.txtetmabcd.txttple.ee.e'], ['C'], ['aebcaéxaemple.exelreadyexisttxzd..eo.tx..to.xxa.ttherearemts1234567890inthisname.exex.x.to.ampletxtt'], ['Céxaméxample.exeple.leDLe.t.t.123.exeaabcalreadyexisttxzd.txttbcedéxaléxample.aemabxcd.txt.ettherearemorethan3digitsn1234567890inthisnax.to.eéaxamabc.txttple.exampple.o..to.Q'], ['LyPW'], ['alreaebcalreaéxamabcd..tbcd.txtt.ttherearemorethan3digits1234e567890inthisname.edxe.x.xampletxttplet.edyexisdttxmzd.txttadyexists.txz'], ['éx.tx.to.aaebcalreaebcaédsxaemple.exelreadytexisttxzd.tabcaléxa123.exee.mple.exereadyexisttxzd.txtttmabcd.txttple.e'], ['alreéxamo.tx...t.t.123example..e.xeo..taebcalereadyexisttxzd.txtto.ple.exée'], ['éxaempCéxaméxample.exeple.leDLe.t.t.123.exeaabcalreadyexisttxzd.txttbcedéxaléxaléxample.emabxcd.txttplme.eéxample.aemabxcd.txt.ettherearemorethan3digitsn1234567890inthisnax.to.exampple.o..to.Qlee.exe'], ['aabcabcd.txttalrneadyexisttxzd.txttbcd.txtt3.ttherearemorethHlean3digits1234567890inthisname.exe.x.to.'], ['.eaabcalreadyexisttxzd.toxttbcd.txtt.ttherearemoraethan3digits1234567890xample'], ['éxaéxlample.emabxcd.txlttplemme..exampm.exampmllee'], ['alreaebcalrxamabcd..eaabcalreadyexisttxzd.txttbcd.txtt.ttherearemorethan3digits1234567890inthisname.edxe.x.xampletxttplet.edyexisdttxzd.txttadyexists.txz']]
results = ['Yes', 'No', 'No', 'Yes', 'Yes', 'No', 'No', 'No', 'No', 'No', 'Yes', 'No', 'No', 'No', 'No', 'No', 'Yes', 'Yes', 'Yes', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'Yes', 'No', 'Yes', 'No', 'Yes', 'No', 'No', 'No', 'No', 'Yes', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'Yes', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'Yes', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'Yes', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'Yes', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'Yes', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'Yes', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'Yes', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'Yes', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'Yes', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No', 'No']
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(file_name_check)
print('___SENTINEL___')
| 2a829a04c6b5be6f50124b61713a272d |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-4
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-04, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [['example.txt'], ['1example.dll']]
results = ['Yes', 'No']
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(file_name_check)
print('___SENTINEL___')
| 9d47d7cf35251eb30e3110bc4977ae5c |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-6
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-07, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[[1, 2, 3]], [[1, 4, 9]], [[]], [[1, 1, 1, 1, 1, 1, 1, 1, 1]], [[-1, -1, -1, -1, -1, -1, -1, -1, -1]], [[0]], [[-1, -5, 2, -1, -5]], [[-56, -99, 1, 0, -2]], [[-1, 0, 0, 0, 0, 0, 0, 0, -1]], [[-16, -9, -2, 36, 36, 26, -20, 25, -40, 20, -4, 12, -26, 35, 37]], [[-1, -3, 17, -1, -15, 13, -1, 14, -14, -12, -5, 14, -14, 6, 13, 11, 16, 16, 4, 10]], [[2, 4, 6, 8, 10, 12]], [[0, 0, 0, 0, 0, 1, 0, 0, 0, 0]], [[1, 2, 3, 4, 5, 6, 7, 8, 9, 10]], [[3, 6, 9, 12, 15, 18, 21, 24, 27]], [[-2, 5, -6, 7, -8]], [[2, 4, 6, 8, 10, 12, 14, 16, 18, 20]], [[1, -2, 3, -4, 5, -6, 7, -8, 9, -10]], [[3, 6, 9, 12, 15, 18, 21, 24, 27, 30]], [[0, 1, 0, 1, 0, 1, 0, 1, 0, 1]], [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [[1, -2, 3, -4, 5, -6, 7, -8, 9, -10, -8]], [[3, 6, 9, 12, 6, 19, 18, 21, 24, 27]], [[1, -2, 3, -4, 5, -6, 7, -8, 6, 9, -10]], [[3, 9, 12, 5, 19, 18, 2, 21, 24, 27]], [[3, 3, 6, 12, 15, 18, 21, 24, 27]], [[3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 21]], [[0, 0, 0, 0, 0, 0, 0, 0, 0]], [[1, -2, 3, -4, 5, -6, 7, -8, 9, -10, -8, 5]], [[3, 6, 9, 12, 18, 21, 24, 27]], [[6, 18, 12, 15, 18, 21, 24, 27, 30]], [[2, 4, 6, 8, 10, 12, 10, 10]], [[3, 6, 9, 12, 18, 21, 24, 28]], [[1, -2, 3, -4, 5, -6, -8, 6, -10]], [[3, 3, -8, 6, 12, 15, 18, 21, 24, 27]], [[3, 6, 9, 22, 12, 18, 21, 24]], [[0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0]], [[0, 0, 0, 0, 3, 0, 0, 0, 0, 0]], [[3, 9, 12, 5, 19, 18, 2, 21, 24]], [[1, -2, 3, -4, 5, -6, -9, 7, -8, 9, -10, -8]], [[3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 21, 24]], [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [[3, 6, 9, 12, 15, 21, 24, 27, 30]], [[1, -2, 4, -4, 5, -6, 7, 18, 9, -10, -8, 5]], [[3, 6, 9, 12, 15, 18, 21, 24, 27, 12]], [[3, 6, 9, 22, 12, 18, 21, 25]], [[1, -2, 2, -4, 5, -6, 7, -8, 9, -10, -8]], [[2, 4, 6, 10, 12, 10, 10]], [[3, 6, 14, 10, 15, 21, 24, 27, 23, 30]], [[1, -2, 2, -2, 5, -6, 7, -8, 9, -10, -8]], [[1, -2, 3, -4, 5, -6, -9, 7, -8, 9, 7, -8]], [[1, -2, 3, -4, -6, 7, -8, 9, -10, -8, 5]], [[6, 9, 12, 15, 18, 21, 24, 27, 12]], [[7, 1, -2, 3, -4, -6, 7, -8, 9, -10, 5]], [[23, 6, 8, 10, 12, 10, 10]], [[1, -2, 4, -4, 5, -6, 7, 18, 9, 0, -8, 5]], [[0, 0, 0, 0, 3, 0, 0, 8, 0, 0]], [[9, 12, 15, 18, 21, 24, 27, 12]], [[21, 6, 22, 12, 18, 21, 12, 24]], [[0, 0, 0, 0, 3, 0, 23, 0, 8, 0, -1, 0]], [[3, 3, 6, 12, 15, 18, 21, 27]], [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [[2, 30, 6, 9, 12, 18, 21, 24, 28, 28]], [[0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0]], [[2, 30, 6, 12, 18, 21, 24, 0, 28]], [[1, 19, 3, -4, -6, 7, -8, 9, -10, -8, 5]], [[0, 0, 0, 3, 0, 0, 0]], [[1, -2, 3, -4, 5, -6, -9, 7, -8, 9, 7, -8, -6]], [[1, -2, 3, -4, 5, -6, 7, -8, 9, -10, -8, 3]], [[3, 6, 9, 12, -6, 15, 18, 21, 24, 27]], [[0, 0, 0, 3, 14, 0, 0, 3]], [[2, 30, 6, 13, 18, 21, 24, 0, 28]], [[3, 6, 12, 15, 18, 21, 24, 27, 30, 21]], [[9, 14, 15, 18, 21, 24, 27, 12]], [[-2, 5, -6, -6, 7, -8, -6]], [[1, 2, -2, 3, 5, -7, 7, -8, 1, 9, -10, -8, 3, 5]], [[1, -2, 4, -4, 5, -6, 7, 18, 9, 0, 5]], [[1, -2, 3, -4, 5, -6, 7, -8, 21, -10, -8, 3]], [[2, 30, 6, 13, 18, 20, 24, 0, 28]], [[3, 6, 9, 12, 18, 16, 21, 24, 28]], [[1, -2, 3, -4, 5, -6, 7, -8, 9, -10, -7, 5]], [[2, 4, 6, 8, 10, 12, 14, 16, 20]], [[0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0]], [[30, 6, 13, 18, 21, 24, 0, 28]], [[2, 30, 6, 12, 18, 21, 24, 28]], [[0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0]], [[0, 0, 0, 3, 14, 24, 19, 0, 0, 3]], [[0, 0, 0, 27, 3, 0, 23, 0, 8, 0, -1, 0]], [[1, -2, 3, -4, 5, -6, -9, 7, -8, 9, 7, -8, -6, 3]], [[3, 6, 9, 8, 12, 15, 18, 21, 24, 30, 21]], [[3, 6, 9, 22, 11, 18, 21, 24]], [[2, -9, 6, 8, 12, 18, 21, 24, 28, 28, 12]], [[3, 10, 6, 9, 8, 12, 15, 18, 21, 24, 30, 21]], [[3, 6, 2, 22, 12, 18, 21, 25]], [[1, -2, 2, -4, 5, -6, 7, 9, -10, -8]], [[13, 3, -8, 6, 12, 15, 18, 21, 24, 27]], [[1, -2, 3, -4, 5, -6, 7, -8, 21, -10, -8, 8]], [[1, 2, -4, 5, -6, 7, 9, -10, -8]], [[10, 6, 9, 8, 12, 15, 18, 21, 24, 30, 21]], [[0, 0, 3, 0, 3, 0, 0, 0]], [[1, -2, 4, -4, 5, -6, 7, 18, 9, 5]], [[0, 0, 0, 3, 11, 14, 24, 19, 0, 0, 3, 0]], [[1, -3, 3, -4, 5, -6, 7, -8, 9, -10, -7, 5]], [[0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0]], [[2, 4, 6, 13, 10, 12]], [[1, -2, 4, -4, 5, -6, 7, 18, 0, -8, 5, 0]], [[1, -2, -4, 5, -6, 7, -8, 9, -10, -8]], [[3, 2, 22, 12, 18, 21]], [[21, 5, 22, 12, 18, 21, 12, 24]], [[2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]], [[1, -2, 3, -4, 5, -6, 7, -8, 9, -10, 11, -12, 13, -14]], [[2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5]], [[6, 7, 8, 9, 10, 11, 12, -13, -14, -15, -16, -17, 18, 19, 20]], [[1, 1, 1, 1, 1, 2, 2, 2, 2, 2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, 5, 5, 5, 5, 5]], [[0, -6, 14, -1, -11, -4, -4, -4, -4, -4, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, -20, -19, -18, -17, -16, -15, -14, -13]], [[3, 6, 1, 7, 0, 8, -9, -3, 10, 11]], [[-12, -15, -17, 20, 33, 37, 40, 45, 48, 49, 50, 58, 70, 64, 72, 80, 82, 88, 92, 94]], [[-1, -2, -3, -4, -5, -6, -7, -8, -9, -10, -11]], [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21]], [[1, -2, 3, -4, 5, -6, 7, -8, 9, -10, 11, -12, 20, -14]], [[6, 7, 8, 9, 10, 11, 12, -13, -14, -15, -16, -17, -17, 18, 19, 20]], [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 0]], [[1, -2, 3, -4, 5, -6, 7, -5, -8, 9, -10, 11, -12, 13, -14]], [[1, -2, 3, -4, 5, -6, 7, -5, -8, 9, -10, 11, -12, 13, -14, 1]], [[2, 2, 2, 2, 2, 3, 3, 3, -9, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 3]], [[1, -2, 3, -4, -2, 5, -6, 7, -5, -8, 9, -10, 11, -12, 13, -14, 1]], [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 0, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 0]], [[3, 6, 1, 7, 8, -9, -3, 4, 11]], [[-12, -15, -17, 20, 33, 37, 40, 45, 48, 49, 50, 58, 70, 64, 72, 80, 82, 88, 92, 94, 50]], [[1, -2, -5, 2, -4, 5, -6, 7, -8, 9, 5, -10, 11, -12, 13, -14]], [[1, 1, 1, 1, 1, 2, 2, 2, 2, 2, -3, -3, -3, -3, -3, -4, -4, -4, -4, 92, 5, 5, 5, 5, 5]], [[6, 7, 8, 9, 10, 11, -13, -14, -15, -16, -17, -17, 18, 19, 20]], [[1, 1, 1, 1, 1, 2, 2, 2, 2, -15, -3, -3, -3, -3, -3, -4, -4, -4, -4, 92, 5, 5, 5, 5, 5]], [[1, 1, 1, 1, 1, 2, 2, 2, 2, 2, -3, -3, 72, -3, -3, -3, -4, -4, -4, -4, 92, 5, 5, 5, 5, 1]], [[-12, -15, -17, 20, 33, 37, 40, 45, 48, 49, 50, 58, 70, 64, 72, 80, 82, 88, -1, 94, 50]], [[2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5]], [[1, 1, 1, 1, 1, 2, 2, 2, 2, 2, -3, -3, 72, -3, -3, -3, -4, -4, -4, 92, 5, 5, 5, 5, 1]], [[6, 7, 8, 9, 10, 11, 12, -13, -14, -15, -16, -17, -17, 18, 19, -16, 20]], [[3, -16, 6, 19, 7, -9, -3, 4, 11]], [[6, 7, 8, 9, 10, 11, -13, -14, -15, -16, -17, -17, 49, 19]], [[3, 6, 1, 8, 0, 8, -9, -3, 10, 11]], [[2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5]], [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 0]], [[1, -2, -5, 2, -4, 5, -6, 7, -8, 9, 5, -10, -12, 13, -14]], [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 0, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 0, 7]], [[1, -2, 3, -4, 5, -6, 7, -5, -8, 9, -10, 11, -12, 13, -14, -12]], [[0, -6, 14, -1, 33, 6, -4, 50, -4, 4, -4, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, -20, -19, -18, -17, -16, -15, -14, -13]], [[1, -2, 3, -4, -2, 5, -6, 7, -5, -8, 9, -10, 11, -12, 14, -14, 1]], [[6, 7, 8, 9, 10, 11, -13, -14, -15, -16, -17, -17, 49, 19, -16]], [[3, 6, 1, 7, 8, -9, -3, 4, 11, 11]], [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, -11, 5, 6, 7, 8, 0, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21]], [[6, 7, 8, 9, 10, 11, -13, -14, -15, -16, -17, -17, 49, 19, 49]], [[6, 7, 8, 9, 37, 10, 11, -13, -14, -15, -16, -17, 49, 19]], [[6, 7, 8, 9, 10, 11, 12, -13, -14, -15, -16, -17, -17, -15, 18, 19, -16, 20, 10]], [[1, -2, -5, 2, -4, 5, -6, 7, -8, 9, 5, -10, -12, 13, 20, -6]], [[3, 6, 1, 8, 7, 0, 8, -9, -3, 10, 10]], [[0, 0, 0, 0, 37, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, -11, 5, 7, 8, 0, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21]], [[6, 7, 8, 9, 10, 11, -13, -14, -15, -16, -17, -17, 18, 19, 20, 19]], [[3, -16, 6, 19, 7, -9, -3, 4, 11, 4]], [[1, -2, 3, -4, -2, 5, 7, -5, -8, 9, -10, -12, 14, -14, 1]], [[7, 8, 9, 10, 11, -13, -14, -15, -16, -17, -17, 49, 19, 49]], [[1, -2, 3, 3, -4, 5, -6, 7, -5, -8, 9, 11, -12, 13, -14, 1, -14]], [[-2, -5, 2, -4, 5, -6, 7, -8, 9, 5, -10, -12, 13, 20, -6]], [[3, 6, 1, 7, 8, -9, -3, 4, 11, 7]], [[3, 6, 1, 7, 8, -9, -3, 4, 7]], [[6, 7, 8, 9, 10, 11, -13, -14, -15, -16, -17, -17, 49, 49]], [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, -1, 0, 2, 16, 0]], [[-12, -15, -17, 20, 33, 37, 40, 45, 48, 49, 50, 58, 70, 64, 72, 80, 82, 88, 92, 94, 88]], [[37, 3, -4, -2, 5, 7, -5, -8, 9, -10, -12, 14, -14, 1]], [[6, 7, 8, 9, 11, 12, -13, -14, -15, -16, -17, -17, -15, 18, 19, -16, 20, 10]], [[70, 1, 1, 1, 1, 2, 2, 2, 2, 2, -3, -3, 72, -3, -3, -3, -4, -4, -4, -4, 92, 5, 5, 5, 5, 1, 1, 72]], [[2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5]], [[2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 3, 4, 4, 5, 5, 5, 5, 5]], [[1, -2, 3, -4, 5, -6, 7, -8, 9, -10, 11, -12, 13, -14, -12]], [[3, 6, 1, 8, 21, 8, -9, -3, 10, 11]], [[-12, -15, -17, 20, 33, 37, 49, 40, 45, 48, 49, 50, 58, 70, 64, 72, 80, 82, 88, 92, 94, 50]], [[0, -6, 14, -1, -11, -4, -4, -4, -4, -4, 11, 12, 13, 14, 15, 17, 18, 19, 20, -20, -19, -18, -17, -16, -15, -14, -13]], [[6, 7, 8, 9, 10, 11, 12, -13, -14, -14, -15, -16, 0, -17, 18, 19, -16, 20]], [[3, 6, 15, 7, 8, -9, -3, 4, 11, 7]], [[1, -2, 3, -4, 5, -6, 7, -5, -8, 9, -10, 11, -12, 13, -14, -4]], [[6, 7, 8, 9, 10, 11, 12, -13, -14, -14, -15, 12, -16, 0, -17, 18, 19, -16, 20]], [[0, 0, 0, 0, 37, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -11, 0, 0, 1, 2, 3, 4, -11, 5, 7, 8, 0, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21]], [[1, -2, 3, -14, 5, -6, 7, -5, -8, 9, -10, 11, -12, 13, -14, -12]], [[-15, 1, -2, 3, -14, 5, -6, 7, -5, -8, 9, -10, 11, -12, 13, -14, 58, -15]], [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, -9, 0, 2, 16, 0]], [[6, 7, 8, 9, 10, 11, -13, -14, -15, -16, -17, -17, 18, 19, -11, 20]], [[3, 6, 1, 8, 21, 8, -9, -3, 10, 11, -9]], [[2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5]], [[6, 7, 8, 9, 10, 11, 12, -13, -14, -15, -16, -17, -17, 49, -16, 19]], [[1, -2, -5, 2, -4, 5, -6, 7, -8, 9, 5, -10, 11, -12, 13, -14, 10]], [[3, 6, -10, 1, 8, 21, 8, -9, -3, 10, 11]], [[1, -2, 3, -3, -6, 7, -8, 9, -10, 11, -12, 20, -14]], [[1, 1, 1, 1, 1, 2, 2, 2, 2, 2, -3, -3, 72, -3, -3, -3, -4, -4, -4, 92, 5, 5, 5, 5, 1, 1]], [[2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13]], [[0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, -1, 0, 2, 16, 0]], [[3, 94, 6, 1, -4, 8, 21, 8, -9, -3, 10, 11, -9]], [[6, 7, 8, 9, 10, 11, -13, -14, -15, -16, -17, -17, -15, 49, 19, 49, -16]], [[0, -6, 14, -1, -11, -4, -4, -4, -4, -4, 11, 12, 13, 14, 15, 16, 17, 3, 18, 19, 20, -20, -19, -18, -17, -16, -15, -14, -13]], [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 20, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 0, 0]], [[40, -18, 6, 1, 7, 8, -9, -3, 4, 11, 11, 6]], [[7, 8, 9, 10, 11, -13, -14, -15, -16, -17, -17, 49, 11, 19, 49]], [[1, -2, 3, -4, -2, 5, -5, -8, 9, -10, -12, 14, -14, 1]], [[3, 6, 2, 1, 7, 8, -9, -3, 4, 11, 11]], [[6, 7, 8, 9, 10, 11, -14, -15, -16, -17, -17, 18, 19, -11, 20]], [[1, -2, 3, -4, -2, 9, -6, 7, -5, -8, 9, -10, 11, -12, 14, -14, 1]], [[-12, -15, -17, 20, 33, 37, 49, 40, 45, 48, 49, 50, 58, 70, 64, 72, 80, 82, 88, 92, 94, 50, 88]], [[-12, -15, -17, 20, 33, 37, 49, 39, 45, 48, 49, 50, 58, 70, 64, 72, 80, 82, 88, 92, 94, 50, 88]], [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 0]], [[-13, -15, -17, 20, 33, 73, 37, 40, 45, 48, 49, 50, 58, 70, 64, 72, 80, 82, 88, 92, 94, 50, 45]], [[6, 7, 8, 9, 10, 12, 12, -13, -14, -15, -16, -17, -17, 18, 19, -16, 20]], [[-12, -17, 20, 33, 37, 40, 45, 48, 49, 50, 58, 70, 64, 72, 80, 82, 88, 92, 94, 50]], [[-12, -15, -17, 20, 33, 37, 40, 45, 48, 49, 50, 58, 70, 64, 72, 80, 82, 88, -1, 94, 50, 50]], [[0, -6, 14, -1, -11, -4, -4, -4, -4, -4, 11, 12, 13, 14, 15, 17, 17, 18, 19, 20, -20, -19, -18, -17, -16, -15, -14, -13]], [[3, -16, 0, 6, 19, 7, -9, -3, 4, 11, 4]], [[3, 6, 8, 7, 0, 8, -9, -3, 10, 10, 10]], [[1, -2, 3, -4, 5, -6, 7, -5, -8, 9, -10, 11, 13, -14, 1, -2]], [[1, 1, 1, 1, 1, 2, 2, 2, 2, 2, -3, -3, 72, -3, -3, -3, -4, -4, -4, 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-3, -4, -3, -3, -3, -4, -4, -4, -4, -4, -4, 5, 2, 5, 5]], [[-12, -15, -17, 20, 33, 37, 40, 45, 48, 48, 79, 50, 58, 70, 64, 21, 72, 80, 82, 88, 92, 94, 64, -17]], [[6, 7, 8, 9, 10, 11, 12, -13, -14, -15, -16, -17, 19, 20, -14]], [[0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 19, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 0]], [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 94, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 19, 17, 18, 19, 20, 21]], [[-12, -15, -17, 20, 33, 37, 40, 45, 48, -10, 48, 58, 70, 64, 72, 80, 82, 88, 92, 94, 64, 40]], [[-12, -15, -8, 20, 33, 37, 40, 45, 48, 50, 58, 70, 64, 72, 80, -5, 92, 94]], [[2, 64, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 2]], [[3, 6, 1, 7, -9, -3, 72, 3, 1, 72]], [[2, 4, 5, 6, 88, 12, 8, 8, 8, 10, 11, 18, 13, 14, 88, 88, 4]], [[6, 7, 8, 9, 10, 11, 12, -14, -15, -16, 18, 19, 20, -14, 18, 8]], [[40, 3, 6, 1, 0, -9, 5, -8, 11, 4, 8, -8]], [[1, -2, -4, 5, -6, -6, -8, 9, 9, 11, -12, 13]]]
results = [6, 14, 0, 9, -3, 0, -126, 3030, 0, -14196, -1448, 1090, 1, 1039, 23709, -460, 7534, 1007, 24609, 5, 0, 0, 999, 15301, 465, 21510, 23703, 24630, 0, 1004, 6624, 33747, 1200, 6625, -793, 16681, 2719, 2, 27, 20781, -224, 24654, 0, 31167, 1031, 23853, 2720, 998, 1952, 17195, 986, -207, -1049, 8466, 862, 2481, 931, 35, 10458, 6634, 1067, 4023, 0, 25068, 6, 28565, -1028, 9, -171, 1002, 14865, 2756, 28590, 34149, 10460, 410, 247, 939, 9534, 28589, 28433, 1005, 9302, 27, 10556, 6641, 24, 3147, 1796, -168, 16921, 2322, 25024, 10761, 2713, -742, 16841, 9539, -626, 17012, 30, 959, 1952, 1004, 36, 1195, 274, -1052, 6030, 6633, 1674, 1161, 288, -915, 167, -2851, 1272, 722682, -718, 5817, 1392, -552, 5817, -106, -105, -451, 315, 4197, 1912, 847682, -136, 263, -1492, 484, 783899, 839219, 310, 5407, 7304, 2038, 565, 1287, 328, 7109, -311, 4204, 38, 47449, 316, 549, 2033, 13374, 614, 50771, -4601, -241, 561, 55805, -1131, 2054, -211, -1700, -2646, 1092, 1961, 924, 595, 6076, 1404154, 2549, 7005, 793983, 291, 288, 1149, 10548, 1494139, -991, -5019, 1975, -90, 6529, 55926, 218, 192890, 6156, -1123, 10539, 323, -595, 864, 678, -800, 5408, 1466, 7129, -115, -3257, 10994, 13790, 2220, -1921, 1060, 643, -2112, 320, 1494227, 1494226, 5797, 1493213, 7305, 875701, 841719, -2818, 7162, 1268, -89, 5405, 1420, 7920, 12709, -117, -4673, 778561, 778590, 48890, 47553, 1547381, 7920, 926354, 6156, 6593, 1723, -784, 1493235, 778007, 1118516, 7269, 10968, 9765, 7051, 5804, 1421, 1494271, 48935, 315, 47, 951, 335, 302, -213, 304, -6034, -1392, 778845, 5820, -2716, 663, 836748, 6077, 6877, -32, 6132, 1509640, 784094, 489, 1898, 396, 778817, 973146, -1620, 865, 1306988, -2111, 7175, 2684, 10740, 1096417, -3249, 2395, 1419, -1420, 483, 13374, 204, -555, 1403, -2647, 1493246, 57, 7281, 778938, -2881, 778558, 778616, 783907, -1672, 1519891, 8608, 1463, -2329, 793922, 6629, 763, 5392, 1425107, 115734, 6110, -950, 4756, -1267, 973, 118569, -1589, -396, 1288, -1623, 8039, 1084, 778938, 5819, 1199, -1437, 6662, 431, 54, 976855, 343, 1733, 1259, -4910, 1251128, 728, 852811, 841783, -3416, 2310, -1096, 606, 2963, 811766, 7960, 9511, -4297, -1230, -2128, 283, -240, 316, 809, 852750, 839, 567, -5248, 10989, 4568, 3365, 123, 950912, 2219, 13845, 6437, 13818, 3378, 1259, -2685, 1468798, 6213, 1378, 7110, -33, 7288, -345, 5389, -1790, -3414, 5803, 977750, 852561, -799, -777, 1502257, 5395, 1452, 1552, 238, -5465, 2332, 1307016, 9950, 17078, 7975, 1247, 8346, -2836, 778626, 1447656, 1943, 1468855, 985494, 778842, 6109, -417, 13566, 2003, 11010, -3273, -605, -1625, 847962, 6537, 55805, 1273668, 6552, 15, 484, 110, 309, -1763, 781050, 173, 1468870, 847822, 1417524, 976767, 2062, 973147, 2039, 3288, -4313, 646, 18895, 1153, 163, 296, 5844, 666, -2350, 808, -316, 6675, 366, 7108, 819, -75, 5819, 2932, 874750, -1512, 1502242, 115991, -1158, 1103, -460, 949, 874927, -1212, 9123, 787111, 6878, 1350103, 3572, 382088, 1554989, 1443936, 2038, 950210, 392, 325, -2128, 48873, -3053, 7180, 2229, 10549, -4331, -4910, -2479, 848132, 1287, 781050, -5442, 1779, -463, -2381, 5368, 65119, -1371, 7128, -4614, -1681, 355, 7204, 874587, 50772, 742033, 778724, 1468859, -313, 1275, 404, 866501, 1090559, -465, 1422, 722597, 859, 6143, -906, 5650, 6132, -4357, 2339, 622, 964, 3015, 902, 275, 8465, 1199, 2962, 722, 4420, 778606, -1739, -3923, 1328293, 218, 783979, -1370, -4923, 876701, 2961, -1445, 535, -4373, 3043, 2987, 273, 1875, 7395, 7040, 7135, 853, 1403708, -13, 10245, 1506, -1588, 7176, 203, 9, 398574, 15391, 604, -2157, 18980, -1373, 314, -619, 6575, -867, 794387, 783908, -2639, 1421572, -155, 1527, 1724, 7919, 3403, 498030, -1218, 3194, 6880, 8665, 2981, -12092, -475, 1425127, 7055, 836749, -6211, 6164, 11004, 6981, 646, 1519890, 6157, -1347, 1336142, -430, -2638, -1692, 14114, 784066, -1494, -451, 9512, -2818, 18980, -4714, -664, -353, 1554, 7243, 2693, -838, 141, 284, 1422, -3568, -1347, 7764, 848180, -835, -275, 65480, 1168, 4, 25, 1, -113, 143, 27000000004999999998000000000, 1, 20, 1000001000002, 56, -237, 169, 353, 151, 5227, 5825, -719, 5113, 5227, -2523, 160, 182, -107, 1196, -236, 174, 1421, 1852, -108, -599, 514, -2379, 413, 159, 864, 852723, -760, -5127, 405, 410, 1909, 5088, 11401, 1432, -697, 1883, 169, 6106, 5792, -2848, 162, 1089, 5088, -547, 11492, 171135, 1164, 159, 1325, 154, -5546, -133, 59, 86, -238, 3479, 515, -238, 115231, -267, 170, -237, 1210, 146, -5120, -858, 6380, 356, 2765, 1739, 3923, 5154, -4, 5158, 1421, 29, 984729, 1431, 445, 196, 511, -416, 7108, 171, 1441, 683105, 102, 2772, -698, 1148, -2487, 1443, 1397, 245, -535, 294, 5890, 173, 3924, 5162, 1673, 852591, 173, -22, 1901, -236, -448, 1224, 5108, 1107, 5869, 114719, -1414, 1515669, 373524, 1249597, 174, -2, 690849, -5317, 170, 1411, -3911, 429, 2639, 378708, -4391, 174, 101, 1404, -457, -727, 422, 664, 1886, -823, 3318, 1145, 201, -243, 5230, -1337, 288, 5234, 167, 1611, 1865, 2062, 8168, 7545, -729, 683574, 373615, 4649, 266, 298, 826, 5419, 487, 6285, 7754, 15940, 293, -350, -276, 4015, 148, 126, 373594, -2958, 989064, 967719, 6282, 1405, 567, 1452, 673, 331, 1389, 7554, 167, 493, 955738, 1165, 292, -320, -3243, 13317, 240, -872, 75, 749, 163, 10375, 903, -349, 958504, 813, 309, 13353, -1023, 423, 4211, -4892, 2818, 1222, 730, 746, 411, 8047, 6875, 5380, 5350, -1023, -31, 168, 682972, 200, 420, 417, -982, -4043, -647, 5234, 436, 2053, -225, 167, 352, 682953, 561, 1658, 189, -969, 1515925, 4488, 139, 480, -3580, 1458, 1240931, 426, -5446, 2578, 5101, 1165, 9179, -5318, -1643, -720, 360, -51, 5966, 11007, 478, -29, 270, -34, 835, -4715, 197, -7754, 9000, 155, -4, 379198, 375581, -1234, -565, 779, 867990, 185, 1741, -21, -1572, 166, 229, 1389, -3390, -2900, -2744, 5163, 5830, 191, 1931, -110, 5490, 373784, -5485, 1429, -2141, 1927, 5952, 427, 1269, 683035, 517, 427, 494, 8063, 85189, 1442, 179, 5106, -2392, 2454, -3508, 378713, 674, 190, 681941, 234, -1405, 2019, 289, 690855, 5890, 683129, 328, 896, 240, -1534, 1514436, 51288, 8643, 1940, 1184, 9187, 4648, -1044, 5950, 3933, 282, 3334, 8157, 1413, 563, -231, 779, 2637, -954, 1099964, 5881, 6251, 371, 1887, 6, 232, 208, 5994, -1930, 364, 332, 4532, 890, 1404, -1007, 5830, 4955, 211, 1420, 15907, 11008, 1476, 3553, 1171, -26, 1322806, -911, 5593, 14412, 984123, 934415, 346, 9705, 690325, -1341, 2965, 722]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(sum_squares)
print('___SENTINEL___')
| 2a30673750ebf0bedaff3398a82900ec |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-4
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-04, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[[1, 2, 3]], [[]], [[-1, -5, 2, -1, -5]]]
results = [6, 0, -126]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(sum_squares)
print('___SENTINEL___')
| b9c8d9bfee9d0b4377b30ebb0a90881f |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-6
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-07, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [['This is a test'], ['lets go for swimming'], ['there is no place available here'], ['Hi I am Hussein'], ['go for it'], ['here'], ['here is'], ['cats and dogs'], ['I am a developer'], ['elephants are huge'], ['the quick brown fox jumps over the lazy dog'], ['this code challenge is tricky'], ['Python programming is fun'], ['mathematics can be easy'], ['writing clean code is important'], ['I love eating pizza'], ['quick sort algorithm is efficient'], ['I am a dquick sort algorithm is efficienteveloper'], ['mathematics can be eacsy'], ['eleephants are huge'], ['Python programmingg is fun'], ['this code schallenge is tricky'], ['this code mathematics can be eacsychalleI love eating pizzangge is tricky'], ['I athe quick brown fox jumps over the lazy dogm a developer'], ['Io love eaI love eating pizzaquick sort algorithm is efficientting pizza'], ['this acode mathematics can be eacsychalleI love eating pizzangge is tricky'], ['Io love eaI love eating pizort algorithm is efficientting pizza'], ['I athe qurown fox jumps over the lazy dogm a developer'], ['quick sort algoritI love eating pizzahm is efficient'], ['this code challenge is triycky'], ['I am a dquick sort algorithm isp efficientevelope r'], ['eleepnhantselephanpts are huge are huge'], ['I am a deper'], ['Pyththe quick brown fox jumps over the lazy dogon programming is fun'], ['this code schayllenge is tricky'], ['thse quick brown fox jumps over the lazy dog'], ['I am a dquick sort algorithm is efficientthis code challenge is triyqckyeveloper'], ['quick soithm is efficient'], ['eleepnhantselepmathematics can be easyhanpts are huge are huge'], ['quick sort algoritI love eaating pizzahm is efficient'], ['elephants are hugeIo love eaI love eating pizort algorithm is efficientting pizza'], ['this code schayllI am a dquick sort algorithm is efficienteveloperenge is tricky'], ['quick sort algorithm iselephants are hugeIo love eaI love eating pizort icient'], ['thse q the lazy dog'], ['I am a deveoper'], ['I athe qurown fox jumps over the lazy dogm a developethse q the lazy dog'], ['this code e is tricky'], ['mahthematics can be easy'], ['I athe quick brown fox jumpthis code e is trickys over the lazy dogm a ddeveloper'], ['Io love eaI love eting pizort algorithm is efficientting pizza'], ['I am a deveopthis code mathematics can be eacsychalleI love eating pizzangge is trickyer'], ['I am ad deveoper'], ['mahthematics can be e asy'], ['Pythothis code mathematics can be eacsychalleI love eating pizzangge is trickyprogrammingg is fun'], ['quick soithmc ihs efficient'], ['I Io love eaI love eating pizort aligorithm is effIicientting pizzaeloper'], ['I am a dquick sort algorithm is efficienteveloperr'], ['I am a dquick sort algorithm is efficienttehis code challenge is triyqckyeveloper'], ['quick sort algoritI love eating pizzahm ist'], ['mahthematics can bI athe qurown fox jumps over the lazy dogm a developethse q the lazy dog asy'], ['Pyththe quick brown fox jumps over the lazy dogon proeleephants are hugegramming is fun'], ['I am a develthis code schayllI am a dquick sort algorithm is efficienteveloperenge is trickyoper'], ['quick sort algoritI love this code schallenge is trickyeating pizzahm is efficient'], ['writing clean code iis rimportant'], ['qu ick sort algoritI love eaating pizzahm is efficzient'], ['qu ick sort algoritI love eaating pizzvahm is efficzient'], ['thisI am a dquick sort algorithm is efficienteveloperchayllenge is tricky'], ['quick sort algoritefficient'], ['I Io love eaI love eating pizort aligorithm is efpfIicientting pizzaeloper'], ['eleepnhantselephanpts are hthis code e is trickyuge are huge'], ['Pyththe quick brown fox jumps over the lazy dogon programmi ng is fun'], ['my'], ['quick soithmc ihs efficientt'], ['eleeeuge'], ['Python ogramming is fun'], ['I am a deveopI Io love eaI love eating pizort aligorithm is efpfIicientting pizzaeloperer'], ['mahthematics can bI athe qurown fox jumps over the lazy dogm a developeog asy'], ['Io love eaI love eatingr pizort palgorithm is efficientting pizza'], ['PythothisI am a dquick sort algorithm is efficienteveloperchayllenge is trickyng is fun'], ['Pyththe quick brown fox jumps over the lazy dogonleephants are hugegramming ins fun'], ['this code schayllI am a dqk sort algorithm is efficienteveloperenge is tricky'], ['quick sort algoritI love eating phm is efficient'], ['Pyththe quick brown fox jumps over the lazy dogonleephants I am a developerare hugegramming ins fun'], ['mahthematics can be easty'], ['qu ick sort algoritI love eaating pizzvahm is efficzeient'], ['I am a dedveopthis code mathematics can be eacsychalleI love eating pizzangge is trickyer'], ['eleepnhantsethis code challenge is triyckyhuge are huge'], ['mathematI love eating pizzaics can be eacsy'], ['thse quick brown fox jumps oover the lazy dog'], ['writing tclean code is importamathematI love eating pizzaics can be eacsynt'], ['quick soithmc ihs efI am a developerficient'], ['I am a depethisI am a dquick sort algorithm is efficienteveloperchayllenge is trickyr'], ['quick sI am ad deveopercient'], ['cquick sort algorithm is efficient'], ['quick soitc ihs uefficient'], ['quick sort alsgoritI love this code sct'], ['I enge is trickyr'], ['I am ad deveo per'], ['quick sort algorithm is efficI am a dquick sort algorithm isp efficientevelope rient'], ['thse quick brown fox jumps oover the ladog'], ['quick soithmc ihs effkicientt'], ['mat hematics can be eacsy'], ['tPython programming is fun'], ['I Io love eaI love eating pizort taligorithm is efpfIicientting pizzaeloper'], ['I'], ['Io love eaI love eatingr pizort palgor ithm is efficientting pizza'], ['tPython programm ing is fun'], ['science some has branches of'], ['one two three four five six seven eight nine'], ['abcdefghijklmnopqrstuvwxyz abc defghijklmnopqrstuvwxyz'], ['aa aaaa aaaaaa aaaaaaaa aaaaaaaaaaaa aaaaaaaaaaaaaaaaaaaa'], ['this is a test for prime numbers in words within a sentence'], ['The quick brown fox jumps over the lazy dog'], ['The cat in the hat sat on the mat'], ['Peter Piper picked a peck of pickled peppers'], ['An apple a day keeps the doctor away'], ['The cat in tofhe ahat sat on the mat'], ['doctor'], ['test'], ['picaaaaaad'], ['eight'], ['aa aaa aaaaaaaa aaaaaaaaaaaa aaaaaaaaaaaaaaaaaaaa'], ['abcdefghijklmnopqrstuvwxyz'], ['doctaaaaor'], ['Peter Piper picked a peck of pipers'], ['The quicdoctorown fox jumps over the lazy dog'], ['abcpipers'], ['six'], ['aabcaaaaa'], ['zudeUmy'], ['fox'], ['clwFZYzs'], ['aaaaaa'], ['pcicaaaaaad'], ['Peter Piper psomeicked a peck of pickled peppers'], ['The cat in tofhe ahat asat on thte mat'], ['P eter Piper picked a peck of pickled peppers'], ['clwZFZYzs'], ['aabcaaaaaa'], ['tesst'], ['ELBDOeWCp'], ['fodoctorx'], ['eighpeck'], ['dooctaaaaor'], ['Peter Piper picked a peck of picklled peppers'], ['wFZYzs'], ['The cat in tofhe aha t asat on thte mat'], ['aa aaaa aaaaaa aaaaaaaa aaaathteaaaaaaaa aaaaaaaaaaaaaaaaaaaa'], ['doaa aaaa aaaaaa aaaaaaaa aaaaaaaaaaaa aaaaaaaaaaaaaaaaaaaactor'], ['wFZYs'], ['doctaaaaorfoforr'], ['brown'], ['doctaaaaorfoftorr'], ['ffox'], ['nine'], ['Pk of pickled peppers'], ['a'], ['seven'], ['psomeicked'], ['aa aaa aaaaaaaa aaaaaaa'], ['this is a test for prime numbers in words wit hin a sentence'], ['doctthreefooftorr'], ['abcyz'], ['doaa aaaa aaaaaa aaaaaaaa aaaaaaaaaaaa aaaAnaaaaaaaaaaaaaaaaactor'], ['browrn'], ['Peter Piper pipcked a peck of pickled peppers'], ['picked'], ['tofhe'], ['wit'], ['aaa aaa aaaaaaaa aaaaaaa'], ['aaaaaaa'], ['aabcnsatumbersaaaaa'], ['twnumboneers'], ['doctthrePeter Piper picked a peck of picklled peppersefooftorr'], ['hat'], ['sciencedoctaaaaor'], ['tbwnumboneers'], ['aa'], ['aa aaa aaaaaaaa aaaaaaaaaaaa aaaaaaaaaaaaaaaaaaaaa'], ['three'], ['lazy'], ['docctor'], ['lazynumbers'], ['jumps'], ['siis'], ['The quicdoctorown fox jumps over thed lazy dog'], ['aha'], ['doaa aaaa aaaaaa aaaaaaaa aaaaaaaaaaaa aaaaaaaaaaaaasixaaaaaaactor'], ['pipcked'], ['peppersefoofrtorr'], ['aaaaa'], ['The cat in tofhe ahat sat onaabcnsatumbersaaaaa the mat'], ['P'], ['Peter Piper pickepd a peck of picklled peppers'], ['browrnsix'], ['pickedwit'], ['science sofhas branches oaf'], ['aaaaaaaaaaaaaaaaaaaa'], ['aahin'], ['one'], ['aaaaaaaaaaaaaaaaaaaactor'], ['awordsbc'], ['browrisnsix'], ['science sofhas branches otwoaf'], ['doaa aaatbwnumboneersa aaaaaa aaaaaaaa aaaaaaaaaaaa aaaaaaaaaaaaasixaaaaaaactor'], ['Peter Piper psomeicked a peck of piP eter Piper picked a peck of pickled peppersckled peppers'], ['abcppipeThears'], ['defghijklmnopqrstuvwxyzbrowrn'], ['ahat'], ['fffopipersx'], ['asatdooctaaaaor'], ['cat'], ['thed'], ['abc'], ['si'], ['ssi'], ['piP'], ['doctaaaaoraahin'], ['has'], ['Piper'], ['psoed'], ['jmumps'], ['caaaaaaaaaaaaaasixaaaaaaactor'], ['aaaathteaaaaaaaaa'], ['aa aahina aaaaaaaa aaaaaaaaaaaa aaaaaaaaaaaaaaaaaaaaa'], ['aa aaa aaaaaaaa aaaaabrowrnaa'], ['aa aaaa aaaaaa aaaapiPaaaa aaaathteaaaaaaaa aaaaaaaaaaaaaaaaaaaa'], ['doctaaaaorrfoforor'], ['s'], ['fffox'], ['oaf'], ['doaa aaaa aaaaaa aaaaaaaa aaaaaaaaaaaa aaaaaaaaaaaaaaaaaaaactoar'], ['The quicdoctorown fox jumps over thed layzy dog'], ['browrnjumps'], ['eter'], ['aaaAnaaaaaaaaaaaaaaaaactor'], ['iss'], ['doaa aaaa aaaaaaa aaaaaaaa aaaaaaaaaaaa aaaAnaaaaaaaaaaaaaaaaactor'], ['bropickledn'], ['PP'], ['oabcpipersttwoaf'], ['prime'], ['aa aaaa aaaaaajmumps aaaaaaaa aaaathteaaaaaaaa aaaaaaaaaaaaaaaaaaaa'], ['doctthrek of picklled peppersefooftorr'], ['docttThehrek'], ['over'], ['ipicked'], ['brosiispickledn'], ['ccat'], ['quick'], ['Peter Piper psomeicked a epeck of piP eter Piper picked a peck of pickleld peppersckled peppers'], ['fodoccto'], ['abcy'], ['pThe cat in the hat sat on the matrime'], ['aassibcnsatumbersaaaaa'], ['uicdoctorown fox jumps over the lazy dog'], ['aa aaa aaaaaaaa aaaaaaaaaaaa aaaaaaaaaaaaaaaaapicklledaaa'], ['pickedquick'], ['aahina'], ['abcppiapeTheaars'], ['pickeddquick'], ['aahinP eter Piper picked a peck of pickled peppersa'], ['wiit'], ['doctthreefoolazynumbersftorr'], ['ahhat'], ['brosiispsickledn'], ['sentence'], ['P eter Piperkeepsrs'], ['pidckedwit'], ['doctoaaaaorfoforr'], ['atwohhat'], ['aahinP etpTheer Piper picked a peck of pickled peppersas'], ['haas'], ['on'], ['aaa aaa aaaaaaaa aaaaabrowrnaaaaaaaaaaaaaasixaaaaaaactora'], ['scxdLYL'], ['aahinP'], ['aaaaabrowrnaa'], ['The cat min tofhe aha t asat on thte mat'], ['witscience sofhas branchess oawf'], ['wsFZYzs'], ['quuick'], ['aaaapiPaaaa'], ['abcyaabcaaaaaaz'], ['The quicdoctorown fox jumps over the ldog'], ['aaa aaa aaaaaaasixaaaaaaactora'], ['aaa aaaa aaaaaa aaaaaaaa aaaaaaaaaaaa aaaaaaaaaaaaaaaaaaaaaaapiPaaaa'], ['aaaaaaaaaaaaaaaaaaaactoar'], ['forx'], ['one two three four five six seven eight peppersnine'], ['defghiabcpipersjklmnopqrstuvwxyzbrowrn'], ['eeter'], ['aathedaaaaaaaaaaaaaaaaaactor'], ['aaaaaaaaaaapipersaaaaaaaaactoar'], ['doaa aaaa aaaaaa aaaaaaaa aaaaar'], ['one two three four five siThe quicdoctorown fox jumps over thed lazy dogx seven eight peppersnine'], ['fffokeepsx'], ['ELBDkeepsOaa aaa aaaaaaaa aaaaaaaaaaaa aaaaaaaaaaaaaaaaaaaaaeWCp'], ['t'], ['fffopiprersx'], ['defghijklmnopqrstu'], ['eiPeter Piper picked a peck of picklled peppersghpeck'], ['quicdoctorown'], ['acaaaaaaaaaaaaaasixaaaaaaactora'], ['abcppiapeaTheaars'], ['ewitscienaa aahina aaaaaaaa aaappleaaaaaaaaaa aaaaaaaaaaaaaaaaaaaaaceeter'], ['aaaaaaaaaaaaaaabrowrnaaaactor'], ['Peter Piper pickAn apple a day keeps the doctor awayepd a peck of picklled peppers'], ['bropickpleldn'], ['pickediwit'], ['defghijkaaaalmnopqrstu'], ['doaa aaatbwnumboneersa aaaaaa aaaaaaaa aaaaaaaatwnumboneersaaaaasixaaaaaaactor'], ['quicka'], ['aawfoura'], ['qpThek'], ['doctthrePeter Piper picked a peck of pickllfed peppersefooftorr'], ['aaaaaaaaaaaaaaaaaaaaaceeter'], ['pctwoicaaaaaad'], ['ffaaaaaaox'], ['spiP'], ['aaaapiThe cat in tofhe aha t asat on thte matPaaaa'], ['dtoctaaaaorrfoforor'], ['aaaaaaaaaaaaaaaaapicklledaaa'], ['ipipcked'], ['ly'], ['The quick broELBDOeWCp'], ['Yzs'], 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brsscience some has branhacses ofentencehes of'], ['athis'], ['wsds'], ['this is a atest for prisme numbers in woodaynce'], ['wWFW'], ['quicniscie some haswodaynek inbrsentencehes ofinbrseentenncehesPipwWFWJaaek'], ['Peetquiker'], ['quicniscienthe qui dogce some has inbrsentencehesek'], ['keepsrek'], ['ThAn apple a dayovrlazy kweeps the doctor awaye cat hasin the hat sat on the mawWFWJaat'], ['ovrlazuthian'], ['Pquicniscienthe quick brown fox jumps over the lazy dogce squicninekas inbrsentencehesekeeter'], ['ofineat'], ['An apple a lazyoday keeps the doctor away'], ['oveAn apple a day keeps the dooctor awayr'], ['gthhtree'], ['aonePiper two three fou r five six seven eight ngine'], ['wcordcats'], ['nusmbscience some has bProtencehess ofers'], ['owodayabcdefghiijklmnoptwodogatswordsqrstuyz'], ['daywodayabcdefghijklmnopqrstuvwxyz'], ['nusmnbscienquicniscie some hasthis is for prirs in wodaynce inbrsentencehes ofinekce'], ['tesAnnumbonrs'], ['ineZnNaoneppleo'], ['thia tes nappleime numbers in words within a sentedogenceaoe'], ['threeshowodayabcdefghijklmnopqrstuyza'], ['afThe Ther quick brown fox jumps over the lazy doe mataa'], ['jumhewPro'], ['aone tnwo three fou r five six seven eight nine'], ['priisiiomofinTheke'], ['fobrancheovrlazuthiansx'], ['wodayatbcdepfghijpklmnopqrstuvwxfivec'], ['cdTOCiFqP'], ['uithis ittukickesomeowodogs for prime numbersofers ian wodayncek'], ['pe'], ['bcrsentenncehes'], ['eofcfe'], ['aa aaaaa aaaaaa aaaaaaaa bcrsentebrseentenncehesnceheafThesaaaaaaaa'], ['thinuquaoneppleekin'], ['qnumbbeonrs'], ['doegcem'], ['aopneppnle'], ['aaaaaaaaaaaakeepsaaaaaaaaptwPaaaaaaaaaaaakeepsaaaaaaaaapaAferoaA'], ['one two three quicniscie some has inbrsentencehes ofinekfour five six seven eight nine'], ['mat'], ['thhreescience sbrsentenncethreeheses of'], ['aaaaapeppeatestersaaaaaaaaPeteroapaqauipriisiimofinekekA'], ['aoonlpple']]
results = ['is', 'go for', 'there is no place', 'Hi am Hussein', 'go for it', '', 'is', 'and', 'am', 'are', 'the quick brown fox jumps the dog', 'is', 'programming is fun', 'mathematics can be', 'writing clean is', 'pizza', 'quick is', 'am is efficienteveloper', 'mathematics can be eacsy', 'are', 'is fun', 'is', 'mathematics can be is', 'quick brown fox jumps the', 'Io eaI is efficientting pizza', 'acode mathematics can be is', 'Io eaI is efficientting pizza', 'fox jumps the', 'quick pizzahm is', 'is triycky', 'am isp', 'are are', 'am deper', 'Pyththe quick brown fox jumps the dogon programming is fun', 'schayllenge is', 'quick brown fox jumps the dog', 'am is efficientthis is', 'quick is', 'can be are are', 'quick eaating pizzahm is', 'are eaI is efficientting pizza', 'am is is', 'quick iselephants are eaI', 'the dog', 'am', 'fox jumps the the dog', 'is', 'can be', 'quick brown fox is trickys the', 'Io eaI eting is efficientting pizza', 'am mathematics can be is', 'am ad', 'can be asy', 'mathematics can be is is fun', 'quick soithmc ihs', 'Io eaI is pizzaeloper', 'am is', 'am is is', 'quick pizzahm ist', 'can bI fox jumps the the dog asy', 'Pyththe quick brown fox jumps the dogon proeleephants are is fun', 'am am is is', 'quick is pizzahm is', 'writing clean iis', 'qu ick eaating pizzahm is', 'qu ick eaating is', 'thisI am is is', 'quick', 'Io eaI is pizzaeloper', 'are hthis is are', 'Pyththe quick brown fox jumps the dogon ng is fun', 'my', 'quick soithmc ihs', '', 'is fun', 'am deveopI Io eaI is pizzaeloperer', 'can bI fox jumps the asy', 'Io eaI eatingr is efficientting pizza', 'am is is is fun', 'Pyththe quick brown fox jumps the are ins fun', 'am dqk is is', 'quick phm is', 'Pyththe quick brown fox jumps the am ins fun', 'can be easty', 'qu ick eaating is efficzeient', 'am dedveopthis mathematics can be is', 'is triyckyhuge are', 'can be eacsy', 'quick brown fox jumps oover the dog', 'writing is can be eacsynt', 'quick soithmc ihs efI am', 'am am is is trickyr', 'quick sI am ad deveopercient', 'is', 'quick soitc ihs', 'quick sct', 'is trickyr', 'am ad deveo per', 'quick is am isp rient', 'quick brown fox jumps oover the ladog', 'quick soithmc ihs effkicientt', 'mat can be eacsy', 'tPython programming is fun', 'Io eaI taligorithm is pizzaeloper', '', 'Io eaI eatingr is efficientting pizza', 'tPython ing is fun', 'science has of', 'one two three six seven eight', 'abc defghijklmnopqrstuvwxyz', 'aa', 'is for prime numbers in words', 'The quick brown fox jumps the dog', 'The cat in the hat sat on the mat', 'Peter Piper of pickled peppers', 'An apple day keeps the', 'The cat in tofhe sat on the mat', '', '', '', 'eight', 'aa aaa', '', '', 'Peter Piper of', 'The quicdoctorown fox jumps the dog', '', 'six', '', 'zudeUmy', 'fox', '', '', 'pcicaaaaaad', 'Peter Piper of pickled peppers', 'The cat in tofhe on mat', 'Piper of pickled peppers', '', '', 'tesst', '', '', '', 'dooctaaaaor', 'Peter Piper of peppers', '', 'The cat in tofhe aha on mat', 'aa', '', 'wFZYs', '', 'brown', 'doctaaaaorfoftorr', '', '', 'Pk of pickled peppers', '', 'seven', '', 'aa aaa aaaaaaa', 'is for prime numbers in words wit hin', 'doctthreefooftorr', 'abcyz', '', '', 'Peter Piper pipcked of pickled peppers', '', 'tofhe', 'wit', 'aaa aaa aaaaaaa', 'aaaaaaa', 'aabcnsatumbersaaaaa', '', 'doctthrePeter Piper of', 'hat', 'sciencedoctaaaaor', 'tbwnumboneers', 'aa', 'aa aaa', 'three', '', 'docctor', 'lazynumbers', 'jumps', '', 'The quicdoctorown fox jumps dog', 'aha', '', 'pipcked', 'peppersefoofrtorr', 'aaaaa', 'The cat in tofhe sat the mat', '', 'Peter Piper pickepd of peppers', '', '', 'science oaf', '', 'aahin', 'one', '', '', 'browrisnsix', 'science', 'aaatbwnumboneersa', 'Peter Piper of piP Piper of pickled peppers', '', 'defghijklmnopqrstuvwxyzbrowrn', '', 'fffopipersx', '', 'cat', '', 'abc', 'si', 'ssi', 'piP', '', 'has', 'Piper', 'psoed', '', 'caaaaaaaaaaaaaasixaaaaaaactor', 'aaaathteaaaaaaaaa', 'aa', 'aa aaa aaaaabrowrnaa', 'aa aaaapiPaaaa', '', '', 'fffox', 'oaf', '', 'The quicdoctorown fox jumps layzy dog', 'browrnjumps', '', '', 'iss', 'aaaaaaa', 'bropickledn', 'PP', '', 'prime', 'aa', 'of', '', '', 'ipicked', '', '', 'quick', 'Peter Piper epeck of piP Piper of peppers', '', '', 'cat in the hat sat on the matrime', '', 'fox jumps the dog', 'aa aaa', 'pickedquick', '', '', '', 'Piper of pickled', '', '', 'ahhat', '', '', '', '', 'doctoaaaaorfoforr', '', 'Piper of pickled', '', 'on', 'aaa aaa', 'scxdLYL', '', 'aaaaabrowrnaa', 'The cat min tofhe aha on mat', '', 'wsFZYzs', '', 'aaaapiPaaaa', '', 'The quicdoctorown fox jumps the', 'aaa aaa', 'aaa', '', '', 'one two three six seven eight peppersnine', '', 'eeter', '', 'aaaaaaaaaaapipersaaaaaaaaactoar', '', 'one two three siThe quicdoctorown fox jumps seven eight peppersnine', '', 'aaa', '', '', '', 'eiPeter Piper of peppersghpeck', 'quicdoctorown', 'acaaaaaaaaaaaaaasixaaaaaaactora', 'abcppiapeaTheaars', 'ewitscienaa aaappleaaaaaaaaaa', 'aaaaaaaaaaaaaaabrowrnaaaactor', 'Peter Piper apple day keeps the awayepd of peppers', 'bropickpleldn', '', '', 'aaatbwnumboneersa', '', '', '', 'doctthrePeter Piper of', '', '', '', '', 'cat in tofhe aha on', 'dtoctaaaaorrfoforor', '', '', 'ly', 'The quick', 'Yzs', 'apple', '', 'aa aaaaaaa', 'Tat on', 'aa aaa aaaaaaaaaaaaa', 'ewitscienaa aaappleaaaaaaaaaa', 'aaa', '', 'of', 'asatdooctor', '', 'twnumboeers', '', 'aa', 'aaa aapeppersefooftorra', '', '', 'aa aaa aaaaa aa', 'ss', 'of', '', 'The fox jumps the', '', '', '', '', 'Piper of pickled', 'one two three six eight', 'bropickplpidckedwiteldn', '', 'Piper', '', 'sss', 'etetpTheerest', 'aaatbwnumboneersadoctor', 'ewitscienaa aaappleaaaaaaaaaa', '', 'aaa aaa', '', '', 'aaaaaaa', 'matrime', 'faa', 'abcppipeTheminars', '', '', '', 'lzazy', '', 'quuuick', 'Piper', '', '', 'aa aaa', '', 'aaa aaa aaaaaaa aaaaaaa', '', '', 'faa', '', 'scxdLYtwnumboeers', '', 'in tofhe aha on', 'pekck', 'of', 'Anlazynumbers', '', 'of', 'is for prime numbers in words', 'aaa aaa aaaaaaaaaaaaaaaaaaaaaaaaaaaaa', 'aabcaaa', 'The in tofhe sat on the mat', 'spiwiit', '', '', '', '', 'Pir', '', '', 'aaatbwnumboneersa', 'aaatbwnumboneersa', '', 'hin', '', '', 'aaa aaa aaaaaaa aa aaaaaaa', '', '', '', 'The in tofhe sat on the mat', 'The cat in tofhe the mat', '', 'Peter Piper pk of', 'aaa aaaaaaa', 'az', '', 'one two three eight peppersnine', 'The jumps the', '', '', 'science', 'zudeU', 'ff', '', '', '', 'sstofhe', '', 'aa', '', 'Peter Piper apple day keeps the awayepd of peppers', 'Piper of', '', 'aa aaa', 'Pk', 'peppersghpeck', 'cccat', 'quick brown fox jumps the', '', 'aaaaaascience', 'tthed', '', 'aaa aaaaaaa aaaaaaahrek of', '', 'aaaaaaaaaaaaa', 'Piper of', '', '', '', '', 'has', '', '', 'doctaaaaaor', 'jmjps', 'The cat in tofhe the mat', 'science has branchesone two three six seven eight peppersnine of', '', '', 'of quicdoctorown fox jumps the ldogorr', 'the quick brown jumps the dog', '', 'dooctor', '', '', 'peppersckleed', '', 'owawf', '', 'fffokeepshinx', '', '', 'abc defghijklmnopqrstuvwxyz', '', 'awordsbcawf', '', 'PkPeter Piper apple day keeps the awayepd of peppersmattwohhat', 'pepperseffoofrtoorr', 'aaa', 'two three six eight', 'aaaaaaa aaaaabcaaaaaaaaaaaa', 'twnusioeers', 'aaaaaaa aaaaa', 'The brown fox jumps the dog', 'Peter Piper pipcked of pickled', 'ayz', 'aaa', 'doumbersftorr', 'defghijkaaaalmnabcdefghaahinP Piper', '', '', '', '', 'laozyndooctaaaaorumbers', 'aa aaa aa aaaaaaa', 'ELOeWCp', 'the quick jumps the dog', 'aa aaa aaaaabrdoaa', 'science seome has of', 'aaa aaa', 'pickeduquickaaAnaaaaaaaaaator', 'science', '', '', 'aasciencedoctaaaeaoraaaaaaaaaaa', 'jmjpp', 'one two three six seven eight nineasatdooctaaaaor', '', '', '', '', '', 'Pk of aaa', 'defghiabcpipersjklmnopqrstuwn', '', '', 'aaappleaaaaaaaaaa', 'brownnn', '', '', '', '', '', 'Pet', 'aaa aaaaaaa', '', '', '', '', '', 'Peter Piper ppicklrledeck of pickled peppers', 'twnumboaaaaabrdoaaneers', 'one two eight peppersnine', 'Yzzfodoccotos', 'aaa aaa', 'of', '', 'The in tofhe sat on the mat', 'The fox jumps the', 'aaaaaaa', 'in tofhe aha on', '', '', 'aa aaa aav aaaaaaa', '', '', 'cat in the hat on the matrime', '', '', 'defghijkaaaalmnabcdefghaahinP', 'The cat in tofhe sat at', 'aaa', '', 'onn', '', 'doctaaaaorlly', '', 'aaaaabrdoaa', 'quicdoc aaaaaaa', 'aa', 'ipipckpepperckctoumpsnaminars', '', 'pepck', '', 'aav', '', '', 'The aaa aaaaaaa aaaaaaacdoctorown fox jumps the dog', '', '', 'aa aaa cat in tofhe sat', 'olazynumbersn', 'doctthr of', 'aaa aaaaaaa aaaaaaahreaaa aaa aaaaaaasixaaaaaaactorak of', 'aaaaaaaaaaaaa', 'is for prime numbers in words wit', 'pk', '', 'aaa aaaffoxaaaaaa aaaaaaa', '', '', '', 'The brown fox jumps dog', 'qpThekk', '', 'lyazy', 'cat in the hat sat on the', 'prbreownime', 'aaaaaaa aaaaa', 'mecat', 'science has branchesone two three six seven peppersnine of', 'Peter Piper aa aaa aaaaa aaa of pickled peppers', 'defghijkxlmnopqaaaarstruvwxyz', '', 'doctaaaaoorrfoforor', '', '', '', '', '', 'tpipP', 'dooctaaaaorbrowrcnjumps', 'dooctaaaaorbrwornjuwmps', 'aaaaaascience', 'aa Piper apple day keeps the awayepd of peppersmattwohhat', 'braninchess owawf', '', '', '', 'numbers', '', 'the quick brown fox jumps the', 'is for prime numbers foxin words', '', 'two', 'two three fou six seven eight', 'has of', 'is for prime numbers in', '', '', '', 'science has brsentencehes of', 'pceck', '', '', 'two three fou six seven eight', 'twPro', '', 'wWFWJaa aaaaaaa', '', 'The quick brown fox jumps the has of', '', 'wWFWJaa', '', '', 'the quick dog', '', '', 'cat in the hat sat on the mat', '', '', 'quicniscience has', 'aaaaaaaaaaaakeepsaaaaaaaapaAf', '', 'wWFWJaa aaaaaaa aaaaaaapsaaaaaonePiperaaaapaA', 'peppers', '', '', 'words', 'science has of', 'in', '', '', '', 'The brown fox jumps has of', '', 'afThe cat in the hat sat on the mataa', '', '', '', 'apple day keeps the awaye cat in the hat sat on the mat', 'Peter', 'quick brown fox jumps the', 'quick brown fox jumps the dog', 'science has brsentencehes of', 'is for prime numbers in', 'science has of', 'is for prime numbers in words', 'aa aaaaa', 'science brsentencehes of', 'afThe quick brown fox jumps the on the mataa', '', 'is for prime numbers ian', 'quicnibazynek', 'mataa', '', '', '', 'has', 'has', '', '', 'has brsentencehes ofers', 'ofers', 'is for prime numbers in', '', '', '', 'science threesquicniscience has has of', '', '', 'thisscience has of is numbers in words', 'is atest for prime numbers in', 'quick brown fox jumps the do', 'of', '', '', 'Peter Pkled peppers', 'quipriisiimofinekek', 'ni', 'defghijklmnopqrstuvwxyz', 'the quk brown fox jumps the dog', '', 'thisscience has of is numbers in words sentenceaoe', 'priisiimofinTheke', '', '', '', '', 'keeps', '', 'is for prime numbers ian', 'niaonepplee', 'is for prime numbers in wodayabcdefghijklmnopqrstuvwxyz abc', 'The', '', '', 'oveAn apple day keeps the awayr', 'ninee', 'wWFWJaa aaaaaaa', '', 'pickled', '', '', 'wordscience has ofs', 'is for prime numbers in', 'is for prime numbers in', 'is for prime numbers in', 'apple day the awaye cat in the hat sat on the mat', '', 'ofoveAn apple day keeps the awayrek', '', '', 'An', 'An apple day keeps', 'is for prime ian', '', '', '', 'sentenceaoe', '', 'peppeatesters', '', '', '', '', '', 'science', 'wWwodayabcdefghijklmnopqrstuvwxyzFWJaaaaaaaapaA', '', '', '', '', '', 'thhreescience has of', 'apple day the awaye cat in the sat on the mat', 'scPeterienscience has', '', 'hasthis is for prirs in', '', 'ovrlazy', 'quicniscience has inbrsentencehesek', '', 'awayr', '', 'tesnumbeonrrs', 'tukickesome', 'The quick brown fox jumps the lazyo dog', '', '', 'has brsentwProtencehess ofers', '', 'sat', '', 'quick brown fox jumps the dogce has inbrsentencehesek', 'the dog', 'quick brown fox the has inbrsentencehesek', '', '', '', '', 'dog', '', '', '', 'pkweeps', 'is for prime numbers in wodayabcdefghijklmnopqrstuvwxyz', 'quicniscience', 'oveAn apple day the awayr', 'aaaaaaaaaaaakeepsatwPaeteroapaA', '', 'quick brown fox jumps the lazydog', '', 'the quick bazdy dog', 'wWFWJaa aaaaaaa', '', 'numbers in words sentenceaoe', '', 'oveAn', 'quick brown fox jumps the has ofe', '', 'ofoveAn apple day', '', 'ofcfe', '', 'is for numbers in', 'Th', 'owodayabcdefghijklmnopqrstuyz', 'threThe quick brown fobranchesx jumps the', '', '', '', 'TTh', 'awayr', '', '', '', 'oe', 'one two ht', 'wWFWJaa aA', 'quick brown fox the doegcem has inbrsentencehesek', 'twPrroo', 'is for numbers in wodayabcdefghijklmnopqrstuvwxyz abc', 'nusmbeaonePiperrs', '', 'twPPtettero', 'Pkled', 'quicnik', 'quick brown fox jumps the', '', 'is for prime numbers in words', 'abc defghquicniinekijklmnopqrstuvyz', '', 'ofe', 'is for prime numbers in wodayabcdefghijklmnopqrstuvwxyz abc', 'day', '', 'pr', '', 'lpZltwProaIlbbZZZ', '', 'foxin', '', 'pecck', '', 'thinuquaoneppleekin', 'awaye', 'is for prime in', 'The cat in the hat has on the mat', 'nin', 'oveAn appTher quick brown fox jumps the dogle day the tor awayr', 'is for prime ian wodayncekthdoctor', '', 'apple dator awaye cat in the sat on the mat', 'thhtree', '', 'quick brown fox jumps the do', '', '', '', 'ovrlazuicky', 'Peter Piper of pickled peppers', 'aaaaaaaaaaaakeepsaaaaainbrsentencehesekaaaapaAf', '', '', 'fobranchesx', '', 'wodayne', 'quipriistestiimofinekek', 'oveeorpceck', 'owhatordsce', 'jumps the lazydog', 'oifinek', 'is aa atest for prime numbers in', '', '', '', '', '', '', '', '', '', '', 'peecc', 'wWFWJaa aaaaaaa aaaaaaaaaaaakeepsaaaaaaaapaaA', '', 'has inbrsentencehesek', '', '', 'tes numbers in words sentenceaoe', 'An apple day keeps', 'nusmnbscience', 'Peter Pkled nusmbsciencepeppers', '', 'quick bazdy', '', 'thi for prime numbers in', '', 'quick brown fox jumhe', 'aoneoverpplee', '', 'The qence has of', 'wtowo', 'thhreescience', 'quick brown fox jumps mover the lazydog', 'qquik', '', 'wodayncekthdoctor', '', '', '', '', '', '', '', 'is for prime numbers in athis', '', 'two three six seven eight nineuicnibaczynek', 'apple day keeps the', 'science of', 'quiicniscwoidaynceience', 'priimme', '', '', 'fVLkz', 'qf', 'has', '', '', '', '', '', 'science has of', 'science has has of', 'apple day keeps the awaye cat inh the hat sat on the mat', 'thhreescience sbrsentennceheses of', 'quick', 'wordors', 'wWFWJaa aaaaaaa', 'apple day the awaye cat hasin the hat sat on the', '', '', 'ht', '', 'ovrlazuthia numbers in words', 'ovrlazuthia', 'qq', 'thpriquikmeeg', '', '', 'science has has of', 'athis', '', 'is atest for numbers in', '', 'haswodaynek ofinbrseentenncehesPipwWFWJaaek', '', 'qui dogce has inbrsentencehesek', '', 'apple the awaye cat hasin the hat sat on the', '', 'quick brown fox jumps the dogce', 'ofineat', 'An apple keeps the', 'oveAn apple day keeps the dooctor awayr', '', 'two three fou six seven eight ngine', '', 'has bProtencehess ofers', '', '', 'hasthis is for prirs in', 'tesAnnumbonrs', '', 'tes numbers in words', 'threeshowodayabcdefghijklmnopqrstuyza', 'afThe quick brown fox jumps the doe mataa', '', 'three fou six seven eight', '', 'fobrancheovrlazuthiansx', 'wodayatbcdepfghijpklmnopqrstuvwxfivec', '', 'for prime ian', 'pe', '', '', 'aa aaaaa', 'thinuquaoneppleekin', 'qnumbbeonrs', 'doegcem', '', '', 'one two three has six seven eight', 'mat', 'thhreescience of', '', '']
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(words_in_sentence)
print('___SENTINEL___')
| fc7628d4d5b78eb38f7b3c8efa5824be |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-4
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-04, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [['This is a test'], ['lets go for swimming']]
results = ['is', 'go for']
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(words_in_sentence)
print('___SENTINEL___')
| 98627808d687c0b6506bd3fc56c8f804 |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-6
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-07, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [['1/5', '5/1'], ['1/6', '2/1'], ['5/1', '3/1'], ['7/10', '10/2'], ['2/10', '50/10'], ['7/2', '4/2'], ['11/6', '6/1'], ['2/3', '5/2'], ['5/2', '3/5'], ['2/4', '8/4'], ['2/4', '4/2'], ['1/5', '1/5'], ['3/4', '4/3'], ['6/8', '3/4'], ['1/6', '6/1'], ['2/3', '3/2'], ['9/12', '12/9'], ['15/17', '17/15'], ['8/11', '11/8'], ['13/19', '19/13'], ['20/25', '25/20'], ['3/8', '8/3'], ['17/15', '15/117'], ['12/9', '17/15'], ['6/8', '33/4'], ['12/9', '112/9'], ['616/6', '6/1'], ['12/9', '12/9'], ['205/25', '20/25'], ['98/3', '19/13'], ['12/9', '13/19'], ['9/12', '9/12'], ['3/2', '2/3'], ['13/19', '17/15'], ['133/19', '13/19'], ['3/2', '3/2'], ['119/13', '119/13'], ['205/25', '112/9'], ['2/3', '2/3'], ['1319/13', '119/13'], ['119/13', '1319/13'], ['133/19', '616/6'], ['8/3', '3/8'], ['4/3', '19/13'], ['15/17', '3/2'], ['1112/9', '112/9'], ['225/20', '19/13'], ['119/1', '119/1'], ['23/2', '3/2'], ['68/8', '33/4'], ['13/199', '13/19'], ['2055/25', '112/9'], ['33/4', '33/4'], ['8/3', '33/2'], ['4/3', '17/15'], ['15/117', '15/117'], ['6/1', '17/15'], ['3/19', '13/19'], ['133/19', '133/19'], ['3/88', '3/8'], ['3/8', '83/3'], ['15/17', '112/9'], ['20/25', '112/9'], ['112/9', '205/225'], ['2055/25', '205/25'], ['133/19', '19/13'], ['15/117', '3/2'], ['19/13', '19/13'], ['6/8', '3/88'], ['933/4', '9/12'], ['13/1999', '13/19'], ['19/13', '19/3'], ['8/1', '8/11'], ['23/2', '616/6'], ['17/15', '15/1117'], ['15/117', '17/15'], ['119/1', '4/3'], ['8/811', '11/8'], ['33/44', '33/44'], ['1119/1', '119/1'], ['17/15', '6/8'], ['33/4', '33/34'], ['1112/9', '1112/9'], ['13/19', '3/119'], ['2/3', '22/3'], ['1/6', '1/6'], ['8/3', '8/3'], ['2225/20', '2225/20'], ['2055/25', '22/3'], ['25/20', '1199/1'], ['13/1999', '12/9'], ['119/13', '1119/13'], ['1333/19', '133/19'], ['3/88', '33/8'], ['1119/1', '4/3'], ['13/19', '13/19'], ['3/888', '3/888'], ['15/1117', '15/117'], ['13/199', '17/15'], ['33/34', '3/22'], ['3/119', '13/19'], ['13/1999', '13/1999'], ['1119/1', '1119/1'], ['61612/9', '6/6'], ['3/4', '8/3'], ['1199/1', '1199/1'], ['199/13', '19/313'], ['19/3', '19/13'], ['1119/13', '1119/13'], ['1333/19', '133/1'], ['1333/19', '1333/19'], ['25/20', '8/3'], ['2/3', '8/13'], ['23/52', '16/17'], ['11/7', '13/77'], ['99/100', '11/9'], ['3/8', '7/25'], ['467/736', '453/384'], ['37/55', '176/9'], ['597/275', '380/241'], ['943/29', '163/58'], ['857/291', '921/739'], ['468/136', '453/384'], ['3/8', '3/8'], ['921/739', '921/739'], ['111/7', '13/77'], ['7/25', '7/25'], ['467/736', '857/291'], ['176/17', '8/13'], ['453/384', '453/384'], ['176/17', '3/8'], ['163/58', '857/291'], ['943/29', '453/384'], ['5597/275775', '380/241'], ['23/52', '23/52'], ['11/9', '453/384'], ['467/736', '11/9'], ['467/736', '467/736'], ['467/736', '5597/275775'], ['4553/384', '453/384'], ['5597/275775', '163/58'], ['857/29', '921/739'], ['11/9', '176/17'], ['11/9', '5597/275775'], ['3/8', '13/77'], ['111/7', '176/669'], ['11/9', '176/9'], ['467/7636', '467/7636'], ['5597/2757775', '163/58'], ['9231/739', '921/739'], ['6467/736', '468/136'], ['5597/2757775', '176/669'], ['111/7', '111/7'], ['11/9', '453/3384'], ['3/8', '943/29'], ['11/7', '943/29'], ['11/99', '453/3384'], ['163/58', '163/58'], ['380/241', '380/241'], ['453/384', '1111/7'], ['1111/7', '11/7'], ['9943/29', '163/58'], ['4553/384', '453/38'], ['111/7', '468/136'], ['23/52', '380/241'], ['11/7', '11/7'], ['857/291', '857/291'], ['11/99', '4453/3844'], ['453/384', '7/25'], ['453/3384', '163/58'], ['176/17', '176/17'], ['5597/2757775', '857/291'], ['453/38', '3/8'], ['11/99', '44534/3844'], ['453/3384', '9943/29'], ['9943/29', '11/99'], ['453/38', '13/77'], ['13/77', '13/77'], ['92331/739', '92331/739'], ['1111/7', '3/8'], ['8/3', '8/13'], ['597/275', '597/275'], ['173/77', '173/77'], ['5597/2757775', '467/736'], ['467/7636', '3/8'], ['11/99', '921/739'], ['111/7', '467/736'], ['11/9', '11/9'], ['467/736', '4767/736'], ['3/8', '163/58'], ['921/739', '468/136'], ['3/8', '3/88'], ['9943/29', '4553/384'], ['857/291', '4453/3844'], ['468/136', '468/136'], ['380/241', '9943/29'], ['8/3', '468/136'], ['467/736', '467/7736'], ['467/7736', '467/7736'], ['380/241', '468/136'], ['468/136', '2/3'], ['9943/29', '13/77'], ['5597/2757775', '8579/291'], ['2/3', '453/38'], ['7/2', '597/275'], ['467/7636', '11/9'], ['37/55', '453/38'], ['37/55', '37/55'], ['7/25', '3/8'], ['176/669', '8/13'], ['1111/7', '13/77'], ['9943/29', '8/13'], ['999/100', '11/9'], ['1111/7', '83/8'], ['453/38', '4677/7736'], ['8/3', '468/6'], ['3080/24', '3080/241'], ['8468/6', '468/6'], ['4677/7736', '468/136'], ['173/77', '37/55'], ['45353/3', '4553/3'], ['9943/29', '11/9'], ['111/7', '1111/7'], ['5597/2757775', '161111/78'], ['467/736', '111/9'], ['467/736', '9943/29'], ['176/9', '11/9'], ['9231/739', '176/669'], ['9943/29', '453/38'], ['4674/7436', '4674/7436'], ['921/739', '468/6'], ['7/2', '999/100'], ['9999/0100', '11/9'], ['48468/636', '857/291'], ['467/7736', '16/17'], ['23/51217', '176/17'], ['453/3384', '453/3384'], ['8/3', '5597/2755775'], ['467/736', '47677/736'], ['4674/7436', '4453/3844'], ['453/384', '453/38'], ['453353/3', '45535/3'], ['163/58', '3/8'], ['6467/736', '11/9'], ['5597/2755775', '380/241'], ['3080/241', '453/384'], ['9231/739', '45535/3'], ['5597/2757775', '597/275'], ['92331/739', '468/136'], ['8857/291', '857/291'], ['233/52', '380/241'], ['1111/7', '1111/7'], ['9231/739', '5597/2755775'], ['9943/29', '191/99'], ['4767/736', '16/17'], ['9231/739', '9231/739'], ['453/38', '3080/24'], ['4688/136', '468/136'], ['4688/1386', '468/136'], ['1653/58', '857/291'], ['857/291', '453/3384'], ['3080/241', '3080/241'], ['111/99', '921/739'], ['921/739', '467/736'], ['7/2', '4677/7736'], ['4367/736', '4367/736'], ['468/336', '111/9'], ['453/38', '453/38'], ['233/52', '4367/736'], ['857/29', '857/29'], ['4/136', '468/136'], ['5597/25757775', '5597/2757775'], ['467/736', '11/19'], ['857/291', '45535/3'], ['1111/7', '468/136'], ['4367/736', '233/52'], ['467/7636', '176/669'], ['3/8', '9231/739'], ['33/8', '13/77'], ['8/13', '13/77'], ['453/38', '8/13'], ['4674/74436', '46674/7436'], ['111/17', '111/7'], ['4553/384', '233/52'], ['5597/275775', '1653/58'], ['30802/24', '3080/241'], ['467/77636', '467/77636'], ['37/55', '3/8'], ['3/8', '11/7'], ['111/17', '11/99'], ['1111/7', '5597/2757775'], ['111/9', '11/9'], ['83/8', '163/58'], ['4367/736', '83/8'], ['453/338436', '468/136'], ['8453/384', '8453/384'], ['30802/24', '467/736'], ['5597/2757775', '5597/2757775'], ['11/7', '4677/7736'], ['453/38', '33/8'], ['4688/1386', '30802/24'], ['48468/636', '467/736'], ['45535/3', '45535/3'], ['4553/384', '9999/0100'], ['333/8', '33/8'], ['5597/27557575', '5597/2755775'], ['5597/2757775', '857/7291'], ['1613/58', '5597/2757775'], ['8/13', '857/7291'], ['176/669', '453/384'], ['3080/241', '7/255'], ['453/3384', '1653/58'], ['47677/736', '23/52'], ['453/38', '4688/136'], ['453/3384', '11/9'], ['99/100', '111/17'], ['47677/7736', '4677/7736'], ['468/136', '30802/24'], ['46477/7736', '4677/7736'], ['3/8', '380/241'], ['33467/76368', '333/8'], ['9943/29', '34553/384'], ['4453/3844', '1613/58'], ['47677/7736', '11/9'], ['1653/58', '8/13'], ['4/1136', '4/1136'], ['4674/74436', '4674/744346'], ['11/7', '467/7736'], ['453353/3', '6467/736'], ['30802/24', '176/9'], ['11/7', '11/77'], ['9999/0100', '3080/241'], ['11/7', '3467/7736'], ['176/17', '176/717'], ['1613/58', '3080/241'], ['77/2', '48468/636'], ['176/669', '37/55'], ['176/9', '176/9'], ['4767/736', '9999/0100'], ['9231/739', '9221/739'], ['30802/24', '3080/24'], ['467/736', '467/7366'], ['7/255', '4688/136'], ['11711/7', '3/8'], ['8577/291', '857/291'], ['5453/84', '453/84'], ['3080/24', '3080/24'], ['11/7', '857/291'], ['161111/78', '1111/7'], ['943/29', '45111/9984'], ['468/136', '5597/25757775'], ['467/736', '4637/736'], ['11/9', '1111/7'], ['467/7336', '111/9'], ['380/241', '468/13'], ['943/29', '11/9'], ['47677/7736', '47677/7736'], ['27/2', '7/2'], ['4677/7366', '4677/7366'], ['1613/58', '57597/2757775'], ['467/77636', '597/275'], ['316533/58', '8/13'], ['11/99', '11/99'], ['9999/01', '9999/010'], ['47674/7436', '3/88'], ['453/83384', '1653/58'], ['4637/77636', '467/77636'], ['8453/384', '8433/384'], ['45553/384', '9999/0100'], ['455553/384', '4353/38'], ['455553/384', '13/77'], ['5597/2755775', '3180/241'], ['453/384', '943/29'], ['9999/010', '176/9'], ['46477/7736', '9231/739'], ['9443/29', '163/538'], ['45553/384', '453/84'], ['46477/7736', '46477/7736'], ['468/136', '453/38'], ['1653/558', '1653/58'], ['9999/0100', '9999/0100'], ['44534/3844', '44534/3844'], ['3080/1', '3080/1'], ['11/9', '911/9'], ['30802/24', '47677/7736'], ['453/3338436', '453/338436'], ['5597/2757775', '1857/7291'], ['47677/7736', '8857/291'], ['4637/77636', '9943/29'], ['3/8', '45553/384'], ['4/11136', '4/1136'], ['5597/2757775', '857/21'], ['173/77', '163/58'], ['34674/74434688', '3/88'], ['163/538', '163/538'], ['8857/291', '8857/291'], ['7/25', '453/384'], ['4637/77636', '163/58'], ['2/3', '11/9'], ['37/5', '37/55'], ['468/136', '380/241'], ['4553/384', '4637/7364'], ['467/736', '4767/4736'], ['8/13', '8/13'], ['77/2', '3/8'], ['468/13', '468/13'], ['453/338436', '1653/558'], ['435383/38', '43583/38'], ['45553/384', '453/884'], ['8857/291', '7/2'], ['11/7', '49999/0100'], ['357/55', '176/9'], ['4553/3', '163/5'], ['9221/739', '857/291'], ['911/9', '911/9'], ['467/77636', '9231/739'], ['5597/25757775', '453/3384'], ['11/99', '9943/29'], ['161111/78', '3080/1'], ['8453/384', '4637/77636'], ['4677/7736', '4677/7736'], ['308435383/384', '4637/7364'], ['16/17', '176/9'], ['85577/291', '857/291'], ['1111/7', '467/736'], ['8857/291', '233/52'], ['34674/74434688', '3/8'], ['5597/2755775', '5597/2755775'], ['176/669', '47677/736'], ['453/384', '921/739'], ['4767/36', '999/100'], ['6467/736', '4677/7736'], ['5597/25757775', '8577/291'], ['3080/241', '176/9'], ['4674/7436', '44534/3844'], ['30802/24', '47677/77366'], ['4637/77636', '46367/77636'], ['27/2', '27/2'], ['3080/241', '453/3384'], ['111/17', '1111/7'], ['176/669', '5597/275775'], ['468/1136', '27/2'], ['176/9', '46367/77636'], ['8857/291', '3/8'], ['857/7291', '1111/17'], ['30800/241', '3080/241'], ['13/77', '4677/7366'], ['4674/7436', '8857/291'], ['46477/7736', '4674/74436'], ['4453/3844', '4767/4736'], ['8453/384', '857/291'], ['7/255', '453/84'], ['111/9', '4688/136'], ['9231/739', '163/5'], ['161111/178', '161111/78'], ['3080/204', '3080/24'], ['9999/01559557575', '9999/01'], ['5453/84', '545/84'], ['6467/736', '6467/736'], ['43/384', '9999/0100'], ['8/1325', '3/8'], ['3/346768', '3/346768'], ['921/739', '3/3446768'], ['1653/58', '453/338436'], ['380/241', '9999/0100'], ['77/2', '37/55'], ['48427/236', '48427/236'], ['3/8', '23/52'], ['467/7736', '9443/29'], ['4553/384', '4553/384'], ['3080/204', '453/384'], ['380/2', '468/13'], ['857/29', '85577/291'], ['161111/78', '9999/010'], ['1111/17', '921/739'], ['316533/58', '316533/58'], ['316533/58', '11/9'], ['23/521217', '23/521217'], ['943/29', '921/739'], ['3080/241', '30830/241'], ['545/84', '3080/241'], ['7467/736', '467/7366'], ['233/52', '9221/739'], ['5453/384', '921/739'], ['111/9', '111/9'], ['47677/736', '9999/01'], ['30800/241559757775', '161111/78'], ['111/17', '111/17'], ['11/9', '111/9'], ['176/717', '453/38'], ['857/7291', '7/25'], ['468/336', '468/336'], ['8453/384', '453/3384'], ['48468/66', '48468/6'], ['1111/7', '11711/7'], ['466477/7736', '9999/010'], ['467/76', '467/7366'], ['11/77', '9999/0100'], ['47677/77366', '453/3384336'], ['476767/7736', '47677/7736'], ['1611111/78', '1611/178'], ['48468/6', '9999/010'], ['857/291', '9999/01'], ['911/9', '8857/291'], ['163/538', '467/736'], ['57597/275775', '467/736'], ['16/17', '4674/744346'], ['346477/7736', '9231/739'], ['7/2', '11711/7'], ['467/7736', '4677/7366'], ['1111/17', '161111/78'], ['11/199', '4688/1386'], ['4674/744346', '467/7636'], ['30800/241559757775', '30800/241559757775'], ['4308435383/384', '4637/7364'], ['1653/58', '111/17'], ['37/55', '161111/78'], ['4676/76', '5453/84'], ['4467/7636', '467/7636'], ['468/136', '163/5'], ['4/11136', '233/552'], ['4677/7736', '467/7636'], ['857/5291', '453/3384'], ['453/3384', '453/384'], ['453/38', '1613/58'], ['11711/7', '453/38'], ['4353/38', '380/241'], ['37/55', '1776/9'], ['4674/7436', '4674/744346'], ['357/55', '357/55'], ['9999/010', '9999/010'], ['9943/29', '48468/8636'], ['468/136', '11/77'], ['453/38', '7467/736'], ['34553/384', '857/291'], ['233/5532', '4677/7736'], ['48468/8636', '163/58'], ['1363/568', '47677/7736'], ['3080/204', '453/3384'], ['83/8', '357/55'], ['4367/736', '5597/775'], ['161111/78', '9999/0910'], ['7/255', '7/255'], ['4553/384', '4688/1386'], ['84453/384', '333/8'], ['176/669', '467/7736'], ['4853/3384', '4853/3384'], ['47677/7736', '8468/6'], ['9999/01', '7/25'], ['111/9', '3080/24'], ['6467/736', '9999/010'], ['7/25', '4767/736'], ['33467/76368', '3/8'], ['9999/0910', '4677/7736'], ['11711/7', '44534/3844'], ['8/3', '468/6136'], ['9999/01', '99999/010'], ['3080/1', '380/241'], ['4674/7436', '4637/77636'], ['11/7', '711/77'], ['2/3', '7/255'], ['11/19', '380/241'], ['34674/744346888', '3/88'], ['346874/744346888', '34674/7443646888'], ['467/7636', '46367/77636'], ['1857/7291', '1857/7291'], ['4767/736', '37/55'], ['48468/66', '4453/3844'], ['453/84', '8453/84'], ['7/255', '3080/204'], ['8453/384', '34553/384'], ['857/7291', '9231/739'], ['857/8291', '857/8291'], ['4553/384', '7/255'], ['11/77', '9221/739'], ['99999/010', '9999/010'], ['4688/1386', '13/77'], ['453/884', '4533/884'], ['818757/291', '81857/291'], ['46367/77636', '176/17'], ['34553/384', '9999/910'], ['7/2', '9943/29'], ['11/199', '48468/66'], ['453/384', '233/52'], ['4767/7736', '467/776'], ['3080/1', '43853/3384'], ['46744/744346', '4674/744346'], ['467/77636', '48468/66'], ['8857/291', '308435383/384'], ['467/77346', '9443/29'], ['34674/744346888', '3/8'], ['3/8', '33/8'], ['857/5291', '3/8'], ['921/739', '9443/29'], ['6467/7636', '111/9'], ['46744/7436', '4674/7436'], ['4674/7436', '8433/384'], ['16/17', '3180/241'], ['1653/58', '459999/0108436'], ['11/999', '453/3384'], ['467/77636', '467/736'], ['11/9', '5597/25757775'], ['30802/24', '921/739'], ['11711/7', '4367/736'], ['3080/241', '11/9'], ['176/17', '11/9'], ['308435383/384', '47677/7736'], ['233/25532', '233/25532'], ['233/552', '176/9'], ['176/6669', '453/384'], ['3/24', '30802/24'], ['176/17', '34674/7443646888'], ['6467/7366', '6467/736'], ['23/521217', '37/5'], ['6467/736', '4674/744346'], ['11/17', '467/7736'], ['11/7', '9943/29'], ['467/766', '467/766'], ['857/21', '857/21'], ['453/384', '1613/58'], ['8857/291', '921/739'], ['1/3', '3/1'], ['1/99999', '99999/1'], ['1/1', '1/1'], ['1/10', '10/100'], ['1/10', '100/10'], ['1/1000000000', '999999999/1'], ['999999999/1', '1/1000000000'], ['999999/1', '1/999999'], ['16311/9', '163/58'], ['597/275', '23/52'], ['23/52', '7/25'], ['943/29', '7/25'], ['711/7', '711/7'], ['711/7', '11/9'], ['16311/9', '163/558'], ['380/241', '943/29'], ['23/5271', '921/739'], ['16/117', '16/17'], ['163/558', '163/558'], ['3280/241', '380/241'], ['163/58', '16/17'], ['23/5', '7/25'], ['9291/739', '857/291'], ['99/100', '16311/9'], ['943/29', '380/241'], ['711/7', '11/19'], ['467/736', '163/558'], ['11/7', '380/241'], ['11/19', '921/739'], ['380/241', '8/113'], ['943/29', '943/29'], ['8/113', '8/13'], ['597/275', '23/522'], ['857/291', '921/73'], ['9176/9', '23/5'], ['380/241', '943/9'], ['16/117', '163/558'], ['8/113', '8/113'], ['23/52', '99/100'], ['8/13', '7/25'], ['16311/9', '7/25'], ['23/522', '23/522'], ['857/291', '943/29'], ['9291/739', '857/9291'], ['16/17', '380/241'], ['16/117', '16/117'], ['3280/241', '380/2'], ['943/29', '9176/9'], ['8/113', '38/113'], ['3/8', '921/73'], ['23/5', '857/291'], ['857/291', '23/5'], ['16/117', '23/5'], ['943/9', '921/739'], ['8/113', '380/241'], ['380/2', '3280/241'], ['23/5', '23/5'], ['921/73', '921/73'], ['380/2', '921/73'], ['8523/5922291', '8523/522291'], ['857/2991', '23/5'], ['597/275', '7/25'], ['16311/9', '9291/739'], ['921/739', '99/100'], ['8/113', '38/13'], ['8/113', '23/5'], ['23/252', '99/100'], ['163/558', '8523/5922291'], ['8/13', '7/725'], ['8523/5922291', '23/5922291'], ['380/2', '16311/9'], ['3880/241', '380/241'], ['711/7', '380/241'], ['921/7939', '99/100'], ['9291/739', '8577/291'], ['16163/5588', '1683/58'], ['7/25', '16311/9'], ['857/291', '9493/29'], ['7/725', '7/725'], ['921/7939', '8/113'], ['11/9', '7/725'], ['7/77225', '7/725'], ['8577/291', '8577/291'], ['943/29', '11/19'], ['11/7', '1683/58'], ['176/9', '8523/522291'], ['3803/2', '380/2'], ['380/2', '8/113'], ['23/252', '38/113'], ['9176/9', '9176/9'], ['11/9', '3880/241'], ['16/17', '16/17'], ['597/275', '8523/522291'], ['921/7939', '921/7939'], ['16311/9', '467/736'], ['9176/9', '7/25'], ['857/291', '1683/58'], ['23/5922291', '453/384'], ['921/773', '921/73'], ['597/275', '23/5'], ['9493/329', '11/19'], ['0380/241', '380/241'], ['7/25', '8577/291'], ['943/9', '16/17'], ['2/252', '138/113'], ['9493/29', '857/291'], ['9176/9', '11/7'], ['9176/79', '1683/58'], ['7/25', '176/9'], ['6116/17', '6116/17'], ['921/73', '9217/73'], ['921/7939', '921/773'], ['3921/73', '3921/73'], ['16311/9', '943/9'], ['380/241', '380/24'], ['9176/79', '38/13'], ['857/291', '9943/29'], ['16/17', '16853/58'], ['99/100', '99/100'], ['943/29', '16853/58'], ['857/2991', '857/2991'], ['23/71', '11/119'], ['23/71', '16/17'], ['23/25', '23/25'], ['23/5', '380/2401'], ['857/9291', '23/5'], ['1/9', '7/725'], ['3880/241', '943/9'], ['3803/2', '23/52'], ['4380/24', '380/24'], ['380/241', '9176/9'], ['4380/24', '3880/241'], ['7/725', '7/7275'], ['8/113', '943/9'], ['99/100', '999/100'], ['85233803/2291', '8523/522291'], ['597/275', '8/113'], ['857/29911', '857/2991'], ['18/13', '7/725'], ['943/9', '2/3'], ['8577/29911', '857/2991'], ['9493/29', '380/24'], ['9217/73', '380/2'], ['857/291', '8523/5922291'], ['999/100', '943/9'], ['11/9', '857/2991'], ['163/58', '921/73'], ['380/2401', '38/13'], ['921/7939', '23/25'], ['37/55', '0380/241'], ['16683/58', '1683/58'], ['380/241', '8577/291'], ['921/7939', '388/1313'], ['163311/9', '943/9'], ['111/9', '2/252'], ['857/291', '38/13'], ['597/275', '72/25'], ['23/5922291', '8577/291'], ['7/725', '23/25'], ['16311/9', '138/113'], ['8/13', '23/5'], ['111/9', '380/241'], ['99/100', '380/4241'], ['1716/17', '176/117'], ['943/9', '943/9'], ['380/24', '380/241'], ['921/3', '921/73'], ['380/241', '111/9'], ['03080/241', '99/100'], ['116683/5817', '16853/58'], ['2857/929', '857/929'], ['976/79', '1683/58'], ['857/929', '921/739'], ['921/739', '7/25'], ['16883/58', '1683/58'], ['163111/9', '163111/9'], ['23/5', '16/17'], ['16163/5588', '1683/588'], ['943/29', '16853/658'], ['921/7939', '111/9'], ['233/522', '23/522'], ['9291/739', '38/113'], ['857/2991', '99/100'], ['857/2591', '857/291'], ['176/9', '3921/73'], ['857/29911', '31683/5841'], ['8523/522291', '8523/522291'], ['597/27', '597/275'], ['163/9', '916311/9'], ['388/1313', '38/113'], ['176/117', '176/117'], ['16883/58', '380/241'], ['7/77225', '11/9'], ['176/9', '6176/9'], ['380/241', '3/5'], ['1/9', '11/119'], ['9291/7399', '11/9'], ['11/9', '8/13'], ['380/241', '11/9'], ['943/29', '97176/9'], ['943/29', '7/7275'], ['9493/29', '11/19'], ['380/4241', '111/9'], ['16683/58', '943/2'], ['8523/5922291', '1683/58'], ['3803/2', '16/17'], ['857/2991', '8/13'], ['857/21', '3/13'], ['380/24', '16/17'], ['23/5922291', '23/252'], ['991683/58', '921/7939'], ['921/799', '8/113'], ['380/24', '11/19'], ['991683/58', '380/2'], ['857/291', '9211/739'], ['1831/13', '7/725'], ['31683/5841', '31683/5841'], ['857/2991', '380/241'], ['11/19', '11/19'], ['16163/5588', '16163/5588'], ['380/244', '380/24'], ['711/7', '921/773'], ['8523/522291', '943/9'], ['163/558', '921/13'], ['857/2291', '38/13'], ['3921/73', '979176/9'], ['9217/73', '380/41'], ['380/244', '9176/9'], ['138/1113', '138/1183'], ['597/2975', '380/241'], ['23/25', '921/7939'], ['31683/58461', '31683/5841'], ['8577/2921', '8577/291'], ['1/373', '9291/739'], ['163/558', '163/5558'], ['138/1183', '380/241'], ['176/117', '3880/241'], ['11/9', '999/100'], ['11/19', '31683/5841'], ['31683/5841', '163/58'], ['16853/658', '943/29'], ['2/252', '31683/5841'], ['3/5', '7/25'], ['168553/658', '943/29'], ['38800/241', '943/9'], ['597/2975', '3880/241'], ['916311/9', '3916311/9'], ['8577/291', '85777/291'], ['38/241', '3880/241'], ['857/9291', '857/9291'], ['467/736', '4674/736'], ['3380/41', '380/41'], ['1/9', '1/9'], ['857/291', '23/71'], ['3803/2', '138/1113'], ['921/739', '921/13'], ['9999/9100', '999/100'], ['85388/13131', '9211/739'], ['23/522', '11/19'], ['6176/9', '11/9'], ['9291/739', '16311/9'], ['131683/584619', '16311/9'], ['857/21', '921/73'], ['7/725', '23/5922291'], ['8577/291', '111/9'], ['380/24', '380/24'], ['85738/13291', '85738/13291'], ['23/522', '4674/736'], ['597/2975', '597/2975'], ['138/113', '8/13'], ['233/522', '8577/291'], ['23/25', '380/4241'], ['116853/58', '16853/58'], ['1831/13', '99/100'], ['921/7939', '921/13'], ['168353/58', '16853/58'], ['999/100', '4674/736'], ['23/5', '116853/58'], ['16853/58', '16853/58'], ['16683/58', '7/725'], ['3803/2', '111/9'], ['11/17', '380/241'], ['9943/29', '138/113'], ['16683/58', '9999/9100'], ['163/5558', '16/17'], ['138/113', '857/291'], ['138/1183', '3804/241'], ['7/725', '111/9'], ['943/2', '857/2991'], ['8/1813', '38/13'], ['467/736', '857/21'], ['711/7', '453/384'], ['857/2991', '8523/522291'], ['16311/19', '16311/9'], ['921/7939', '11/119'], ['16311/9', '9999/9100'], ['380/241', '9423/29'], ['11/77', '11/77'], ['11/17', '7/725'], ['1/373', '23/52'], ['921/799', '921/799'], ['921/7', '9217/7'], ['7/225', '9493/29'], ['921/7939', '03080/241'], ['943/2', '1683/58'], ['716/17', '16/17'], ['163/558', '9493/29'], ['921/79379', '921/7939'], ['85777/291', '943/2'], ['3/5', '4674/736'], ['11/17', '11/17'], ['9493/29', '9493/29'], ['716/17', '3380/41'], ['168553/658', '168553/658'], ['111/9', '2857/929'], ['976/79', '976/79'], ['1168531/58', '16853/58'], ['597/2975', '138/1113'], ['16/117', '16853/58'], ['176/9', '380/4241'], ['16311/9', '921/73'], ['3921/73', '857/291'], ['85388/13131', '9211/7'], ['138/1113', '138/1113'], ['3/8', '23/5271'], ['99/100', '85388/13131'], ['16883/58', '16883/58'], ['857/91291', '23/5'], ['7/5725', '7/725'], ['23/711', '23/711'], ['3803/2', '7/725'], ['176/9', '16163/5588'], ['921/799', '85738/13291'], ['72/25', '7/25'], ['921/79339', '921/739'], ['233/522', '7/725'], ['11/77', '3/13'], ['6176/9', '111/9'], ['38/1813', '8/1813'], ['81831/13', '99/100'], ['8857/2991', '857/2991'], ['23/5922291', '58577/291'], ['11/119', '16853/58'], ['11/77', '03080/241'], ['46474/736', '4674/736'], ['131683/584619', '43280/241'], ['921/739', '163/558'], ['3/13', '23/52'], ['16163/51588', '16163/5588'], ['16/17', '8523/5922291'], ['233/25', '38/113'], ['921/7939', '3380/41'], ['7/5725', '8577/291'], ['9999/9100', '7/25'], ['3380/41', '8/113'], ['857/9291', '3/13'], ['3916311/9', '8/113'], ['168553/658', '8523/522291'], ['163311/9', '163311/9'], ['188/13', '7/725'], ['3803/2', '3803/2'], ['163/58', '2/252'], ['38/241', '380/244'], ['1616816/178558', '467/736'], ['6116/17', '16/117'], ['23/25', '8577/291'], ['23/5922291', '2/3'], ['3804/241', '38404/241'], ['11/119', '8523/5922291'], ['16/17', '9291/739'], ['16855/658', '168553/658'], ['38404/241', '8/13'], ['6116/17', '23/25'], ['8527/929', '23/25'], ['8577/29911', '8/113'], ['1/99', '1/9'], ['857/291', '9493/929'], ['6176/9', '6176/9'], ['16311/9', '16311/9'], ['921/799', '31683/5841'], ['1616816/178558', '176/9'], ['943/9', '467/736'], ['94233/29', '94233/29'], ['99/100', '921/739'], ['3803/2', '23/71'], ['380/44241', '176/9'], ['7/5725', '380/2401'], ['9176/9', '7/5'], ['1168531/58', '857/2991']]
results = [True, False, True, False, True, True, True, False, False, True, True, False, True, False, True, True, True, True, True, True, True, True, False, False, False, False, True, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, True, False, False, False, False, True, False, False, False, False, False, True, False, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, True, False, True, True, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, True, True, False, True, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(simplify)
print('___SENTINEL___')
| 7efef92e93a5b0298f436564b5e8e3e0 |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-4
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-04, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [['1/5', '5/1'], ['1/6', '2/1'], ['7/10', '10/2']]
results = [True, False, False]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(simplify)
print('___SENTINEL___')
| 819876c9c75f5758428382514a74cc56 |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-6
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-07, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[[1, 11, -1, -11, -12]], [[1234, 423, 463, 145, 2, 423, 423, 53, 6, 37, 3457, 3, 56, 0, 46]], [[]], [[1, -11, -32, 43, 54, -98, 2, -3]], [[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]], [[0, 6, 6, -76, -21, 23, 4]], [[1, 2, 3]], [[-5, -12, 9, 15]], [[1111, 2222, 3333, 4444]], [[951, -753, 824, -444, 555]], [[-1000, -99, 0, 99, 1000]], [[100, 20, 300, 4, 5, 60000]], [[10, 20, 50, -100, -200, -500]], [[27, -54, 63, -72, 81, -90]], [[888, -777, 666, -555, 444, -333, 222, -111]], [[0, 0, 0, -1, -10, 1, 10]], [[100, 20, 300, 4, 5, 60000, 20]], [[888, -777, 666, -555, 444, -333, 222, -111, -111]], [[-5, -12, 9, 15, 15]], [[0, 0, -1, -10, 1, 10]], [[10, 20, 50, -100, -200, -500, 10]], [[4444, -5, -12, 9, 15, 15]], [[1, 2, 3, 1, 1]], [[1000, -12, 10, 9, 15]], [[888, -777, 666, -555, -333, 222, -111, -111]], [[888, -777, 666, -555, 444, -333, 222, -111, -111, 888, -111]], [[1111, 4444]], [[667, 888, -777, 666, -555, 444, -333, 222, -111]], [[4444, -54, -5, -12, 9, 15, 15]], [[-1000, 0, 99, 1000, -1000]], [[-753, 824, -444, 222, 824]], [[10, 20, -100, -200, -500]], [[4444, -777, -54, -5, -12, 9, 15, 15]], [[4444, -5, 63]], [[0, 1, 0, -1, 1, 10]], [[10, 20, -100, -200]], [[667, -777, 666, -555, 444, -333, 222, -111]], [[0, 0, -1, 1, 10]], [[0, 0, -1, 1, 10, 1]], [[4444, -5, 63, 4444]], [[-5, 9, 15]], [[1111, 2222, 3333, 4444, 3333]], [[667, 888, -777, 666, -555, 444, 63, 222, -111]], [[0, -90, 0, -1, 1, 10]], [[-12, -1, 1, 10]], [[888, -777, 666, -555, 444, -333, 222, -1000, -111, -555]], [[-753, 824, -444, 824]], [[888, -777, 666, -555, 444, -334, 222, -111, -111, 888, -111]], [[-72, -777, 666, -99, 444, -333, -111]], [[100, 20, 299, 4, 5, 6, 60000, 20, 299]], [[667, 888, -777, 666, -555, 1, 444, 63, 222, -555]], [[-72, -777, 666, 444, -333, -111]], [[888, -777, -555, 444, -333, 222, -111, -111]], [[4444]], [[20, -100, -200]], [[1, 2, 1, 1, 1]], [[10, 20, -100, -199, -200]], [[-12, -5, -12, 9, 15]], [[1, 2, 3, 2, 1]], [[0, 1, 0, -1, 1, 10, 10]], [[-5, -12, 9, 15, 15, -12]], [[1, 2, 3, 1]], [[0, 1, 0, -1, 10, -1]], [[10, 20, 951, -199, -200]], [[10, 20, 60000, 951, -199]], [[4444, -5, -12, 9, 6, 15, 15]], [[667, -777, 666, -555, 444, -333, 222, -111, -555]], [[-72, -777, 666, -100, 444, -333, -111]], [[63, -5, 63, 4444]], [[667, -777, 666, -555, 444, -333, 222, 6, -111]], [[27, -89, -54, 63, -72, 81, -90, 63]], [[-1000, -99, 0, 99, 1000, 0]], [[4444, -5, 62]], [[10, 20, 50, -100, -501, -200, -500]], [[667, -777, 666, -555, 4, -333, 222, -111]], [[-72, -777, 666, -99, 444, -333, -111, 444]], [[27, -89, -54, 63, -72, 667, -90, 63]], [[4444, 4444, -5, 63]], [[4444, -5, -12, 9, 6, 15, 15, 15, 4444]], [[1, 2, 3, 1, 1, 1]], [[27, -89, -54, 63, 667, -90, -1000]], [[10, 20, -100, -99, -199, -500]], [[667, 888, -777, 666, -72, -555, 444, 63, 555, 222, -111]], [[10, 20, -199, -200]], [[0, 0, -72, -1, 1, 10, 10, 1]], [[0, 0, 0, 0, -1, -10, 1, 10]], [[667, -777, -555, -554, 444, -333, 222, -111, -555]], [[4444, -5, -12, 9, -199, 15]], [[0, 0, -1, 10, 1]], [[-100, -200, -200]], [[0, 0, 0, -1, -10, -72, 1, 10]], [[667, 888, -777, 666, -72, -555, 444, 63, 555, 222, -111, 888]], [[-72, -777, 666, -99, 444, -333, -111, 444, 444]], [[1, 2, -89, 1]], [[1111, 4444, 2222, 3333, 4444]], [[2, 1, 1, 1]], [[-72, -777, 666, -99, 444, -333, -111, 444, 444, -99]], [[1111, 4444, 2222, 3333, 3334, 4444]], [[1, 2, 3, -753, 1]], [[81, 27, -54, 100, -72, 81, -90, 81, 27]], [[-72, -777, 666, -100, 444, -333]], [[0, 1, 0, -1, 3333, -1]], [[4444, 63]], [[-777, 666, -555, 444, -333, 222, -111, -111]], [[27, -54, -72, 81, -90]], [[27, -89, -54, 63, 667, -90, -1000, -1000, -999, -1000, -1000]], [[0, 9, -85, -129, 874, 6745, 8325, 67054, -816508, 9999999]], [[1, -22, -43, 24, -35, -57, 86, -98, 79, -11, 0, 6, 13, -38]], [[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, -12, -13, -14, -15, -16, -17, -18, -19, -20, -21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, -32, -33, -34, -35, -36, -37, -38, -39, -40, -41, 42, 43, 44, 45, 46, 47, 48, 49, 50]], [[456, 855, 23413, 11124, -22, -345, 6114, -999, -876, 101]], [[-33333, -22222, -11111, 11111, 22222, 33333, 100000]], [[789, 912, 677, 766, 456798, 226, 8934, 56789, -15, -68, -987]], [[13579, 24680, -86420, -97531, 9, -8, 7, -6, 5, 0, -4, 3, -2, 1]], [[142, 137, 203, 755, -500, -321, -23, 0, 76832, -53621]], [[21, 30, 38, -204, -206, 213, 161, -900, 915, 53, -77, -901, 911, -808]], [[1000, -1000, 200, -200, 500, -500, 333, -333]], [[-97531, -33333, -22222, -11111, 11111, 22222, 33333, 100000]], [[456, 854, 23413, 11124, -22, 3, 6114, -999, -876, 102]], [[21, 31, 38, -204, -206, 213, 161, -900, 915, 53, -77, -901, 911, -808]], [[456, 855, 23413, 11124, -345, 6114, -999, -876, 101]], [[21, 31, 38, -204, -206, 213, 161, -900, 915, 53, -901, 911, -808]], [[456, 854, 23413, 11124, -22, 3, 6114, -999, -876, 102, 854]], [[-97531, -33333, -22222, 213, -11111, 11111, 22222, 33333, 100000, -97531]], [[456, 855, 23413, 11124, -345, 6114, -999, -875, 101]], [[142, 137, 203, 8934, -500, -321, -23, 76832, -53621, -53621]], [[142, 137, 203, 8934, -500, -321, -23, 76832, -53621, -53621, -500]], [[456, 855, 23413, 11124, -345, 6114, -999, -876, 101, 6114]], [[21, 31, 38, 22, -204, -206, 213, 161, -900, 915, 53, -77, -901, 911, -808]], [[456, 855, 23413, 11124, -345, 6114, -875, 101]], [[21, -22222, 38, -206, 213, 161, -900, 456798, 53, -901, 911, -808]], [[13579, 24680, -86420, -97531, 9, -8, 53, 7, -6, 5, -4, 3, -2, 1]], [[456, 854, 23413, 11124, -22, 3, 6114, -999, -876, 102, 854, -876]], [[21, 31, 38, 22, -204, -206, 213, 161, -900, 915, 53, 101, -901, 911, -808]], [[21, -43, 38, -204, -206, 213, 161, -900, 915, 53, -77, -901, 911, -808]], [[456, 854, 23413, 11124, -22, 3, -6, -999, -876, 102, 854, -876]], [[456, 855, 23413, 11124, -345, 6114, -999, -876, 101, -346, 6114, 6114]], [[21, -43, 38, -204, -206, 213, 161, -900, 53, -77, -901, 911, -808, 161]], [[456, 854, 23413, 11124, -22, 3, 6114, -999, -876, 102, 854, -876, -999, 456]], [[21, -22222, 38, -206, 203, 161, -900, 456798, 53, -901, 911, -808]], [[21, -22222, 38, -206, 213, 161, -900, 456798, 53, -901, 911, -808, 213]], [[86, -345, -1000, 200, -200, 500, -500, 333, -333]], [[13579, 24680, -86420, -97531, -8, 7, -6, 5, 0, -4, 3, 11111, 1, 0]], [[21, 31, 38, 22, -204, -206, 213, 874, 161, -900, 915, 53, -77, -901, 911, -808, -808]], [[456, 855, 11124, -345, 6114, -999, -204, 101, 6114]], [[21, 31, 38, -204, -206, 213, 161, -900, 915, 53, -77, -901, 911, -808, -901]], [[-97531, -33333, -22222, -11111, 11111, 22222, 33333, 100000, 33333]], [[21, -22222, 38, -206, 203, -900, 456798, 53, -901, 911, -808]], [[21, 30, 38, -204, -206, 213, 161, -900, 915, 53, -77, -901, 911, -808, 911]], [[456, 854, 23413, 11124, -22, 3, 6114, -999, -876, 102, 854, -876, -999, 4, 456]], [[21, -22222, 38, -205, 213, 161, -900, 456798, 53, -901, 911, 213, -22222]], [[21, -22222, 456797, 38, -206, 203, -900, 456798, 53, -901, 910, 911, -808]], [[21, -22222, 456797, -206, 203, -900, 456798, 53, -901, 910, 911, -808]], [[21, 31, 38, 22, -204, -809, -206, 213, 161, -900, 915, 53, 101, -901, 911, -808]], [[-33333, -22222, -11111, 11111, 22222, 33333, 100000, 22222]], [[-97531, -33333, -22222, -11111, 11111, -53621, 33333, 100000, 33333]], [[21, 31, 38, 22, -204, -206, 213, 21, 161, -900, 915, -77, -901, 911, -808]], [[142, 137, 203, 755, -500, -321, -23, 0, 76832, -4]], [[21, 31, 38, 22, -204, -206, 213, 161, -900, 915, 53, 456797, -901, 911, -808]], [[21, -22222, 456797, -206, 203, -900, 456798, 53, -901, 910, 911, -808, 53]], [[-97531, -33333, -22222, -11111, 11111, 22222, 33333, 100000, -39, 33333, 11111, 33333]], [[13579, 24680, -1, -86420, -97531, -8, 7, -6, 5, 0, -4, 3, 11111, -86419, 1, 0]], [[13579, 24680, -86420, -97531, -3, 9, -8, -6, 5, 0, -4, 3, -2, 1]], [[0, 9, -85, -129, 874, 6745, 8325, 67054, 9999999]], [[21, 31, 38, -204, -206, 213, 161, -900, 915, 53, -77, -901, 911, -809, -901, 161]], [[142, 137, 203, 8934, -500, -321, -23, 915, 76832, -53621, -53621, -500]], [[456, 854, 43, 23413, 11124, -22, 3, -6, -999, -876, 102, 854, -876]], [[-999, 456, 854, 23412, 11124, -22, 3, 6114, -999, -876, 102, 3]], [[21, -22222, 38, -206, 213, 161, -900, 456798, 53, -901, 911, -808, 212, 213, 213]], [[-97531, -33333, -22222, 6745, 11111, 22222, 33333, -18, 33333]], [[0, 9, -85, -129, 874, 6744, 6745, 8325, 67054, -816508, 9999999]], [[1000, -1000, 200, 500, -500, 333, -333]], [[21, 31, 38, -204, -206, 161, -900, 915, 53, -77, -901, 911, -808]], [[-33333, -22222, 22223, -11111, 11111, 22222, 33333, 100000, 22222, 22222]], [[-11111, -33333, -22222, -11111, 11111, 22222, 33333, 100000, 22222]], [[456, 855, 11124, -345, 6114, -999, -204, 101, 6114, 455, -345]], [[-33333, -22222, -11111, 11111, 22222, 33333, 100000, -22222]], [[-33333, -22222, 6745, 11111, 22222, 33333, -18, 33333]], [[13579, 24680, -86420, -97531, 9, -8, 7, -6, 5, 0, -4, 3, -2, 1, 7]], [[21, 31, 52, 38, -204, -206, 161, -900, 915, 53, -77, -901, 911, -808]], [[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, -12, -13, -14, -15, -16, -17, -19, -20, -21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, -32, -33, -34, -35, -36, -37, -38, -39, -40, -41, 42, 43, 44, 45, 46, 47, 48, 49, 50]], [[21, 31, 38, -204, -206, 213, 161, -900, 915, 53, -901, 32, 911, -808]], [[0, 9, -86, -85, -129, -34, 874, 6744, 6745, 8325, 67054, -816508, 9999999]], [[456, 855, 23413, 11124, -345, 6114, 455, -875, 101]], [[21, -22222, 456797, -206, 203, -900, 456798, 53, -901, 910, -206, 911, -808]], [[21, 31, 38, 22, 31, -204, -809, -206, 213, 161, -900, 915, 53, 101, -901, 911, -808, -900]], [[21, 31, 52, 38, -204, -206, -900, 915, 53, -77, -901, 911, -808]], [[21, 31, -40, 38, 22, -204, -206, 21, 213, 161, -900, 915, 53, 456797, -901, 911, -808]], [[456, 855, 11124, -345, 47, 6114, -999, -204, 101, 6114, 455, -345]], [[21, -22222, 39, -206, 213, 161, -900, 456798, 53, -901, 911, -808, 213]], [[161, 912, 677, 766, 456798, 226, 8934, 56789, -15, -68, -987, -987]], [[142, 137, 203, 755, -500, -23, 0, 76832, -4]], [[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, -12, -13, -14, -15, -16, -17, -18, -19, -20, -21, 22, 23, 25, 24, 25, 26, 27, 28, 29, 30, 31, -32, -33, -34, -35, -36, -37, -38, -39, -40, -41, 42, 43, 44, 45, 46, 47, 48, 49, 50]], [[1000, -1000, 200, 500, 333, -333]], [[-33333, -22223, 22223, -11111, 11111, 22222, 33333, 789, 22222, 22222]], [[456, 855, 23413, 102, 11124, -345, 6114, 455, -875, 101]], [[21, -200, 31, 38, -204, -206, 213, 161, -900, 915, 53, -77, -901, 911, -809, -901, 161, 31]], [[86, -345, -1000, 200, -200, 500, -500, 333, -333, 500]], [[-22222, -11111, 11111, 22222, 33333, 100000, -22222]], [[21, 31, 38, 22, -204, -809, -206, 213, 161, -900, 915, 53, -999, -901, 911, -808, 38]], [[21, 31, -40, 38, 22, -204, -206, 21, 213, 161, -900, 915, 53, 456797, -901, 911, -808, 915]], [[-1000, 200, 500, -333, 500]], [[142, 137, 8934, -500, -321, 76832, -53621, -53621, -500]], [[21, 31, 38, -204, -206, 213, 161, -900, 915, 53, -77, -901, 911, -808, -901, -808]], [[21, -22222, 39, -206, 213, 161, -3, 456798, 53, -901, 911, -808, 213]], [[31, 38, -204, -206, 213, 161, -900, 916, 53, -77, -901, 911, -808, -901]], [[0, 9, -85, -129, 874, 6745, 8325, 9999999, 67054, 9999999]], [[456, 854, 23413, 11124, -22, -19, 3, 6114, -999, -876, 102]], [[142, 137, 203, 8934, 48, -321, -23, 76832, -53621, -53622, -500, 203]], [[13579, 24680, -86420, -97531, 9, -8, 7, -6, 5, 4, 0, -4, 3, -2, 1]], [[-33333, -22222, 24680, 11111, 22222, 33333, 100000]], [[21, 31, 38, 22, -204, -206, 213, 161, -900, 915, 53, 914, -77, -901, 911]], [[789, 912, 677, 766, -16, 456798, 226, 8934, 56789, -15, -68, -987]], [[142, 137, 203, 8934, -500, -321, -23, 76832, -53621, -53621, -500, 142, 142]], [[21, -22222, 39, -22221, -206, 213, 161, -3, 456798, 53, -901, 911, -808, 213]], [[142, 137, 204, 755, -500, -23, 0, 76832, -4]], [[21, -22222, 456797, -206, 203, 13579, -900, 456798, 53, -901, 910, 911, -808, 53]], [[21, 30, 38, -204, -206, 213, 161, -900, 915, 53, -77, -901, 911, -808, 911, 911]], [[21, 31, 38, -204, -206, 213, 161, -900, 915, 53, -77, -901, 911, 23413, -808]], [[21, 31, -40, 38, 22, -204, -206, 21, 213, 161, -900, 915, 53, 456797, -901, 911, -808, 911]], [[789, 912, 677, -345, 766, 456798, 226, 8934, 56789, -15, -68, -987]], [[142, 137, 203, 8934, -500, -321, -23, 76832, -53621, -53621, -500, 142, 142, -53621, -23]], [[456, 854, 23413, 853, 11124, -22, 3, 6114, -999, -876, 102, 854, -876, -999, 4, 456]], [[456, 854, 23413, 11124, 226, -19, 3, 6114, -999, -876, 102]], [[-1000, 200, 500, -333, 22223, 500]], [[142, -33333, 137, 203, 8934, -500, -321, -23, 76832, -53621, -53621, -500, 142, 142]], [[13579, 24680, 23412, -97531, 9, -8, 53, 7, -6, 5, -4, 3, -2, 1]], [[161, 912, 677, 766, 456798, 226, 56789, -15, -68, -987, -987]], [[13579, 24680, -86420, -97531, 9, -8, 7, -6, 5, 0, -4, 3, -2, 45, 0]], [[142, 137, 203, 755, -500, -321, -23, 0, 76832]], [[-33333, -22222, -11111, 11111, 22222, 755, 33333, 100000, 22222]], [[1000, -1001, 200, 500, -500, 333, -333]], [[21, -22222, 39, -206, 213, 161, -204, -3, 456798, 53, -901, 911, -808, -900, 213, 161]], [[456, 854, 11124, -22, 3, 6114, -999, -876, -998, 102, 854, -876, -999, 456]], [[789, 912, 677, -345, 766, 456798, 226, 8934, 56789, -15, -68, -986]], [[142, 137, 203, 8934, -321, -23, -53621, -53621, -500]], [[21, 31, 38, -204, -206, 213, 161, -900, 915, 53, 6, -901, 911, -808, -901]], [[-97531, -33333, -22222, 6745, 11111, 22222, 33333, -18, 33333, -22222]], [[456, 23413, 11124, -345, -346, 6114, -999, -875, 101]], [[21, 31, 38, -204, -206, 161, -900, 915, 53, -77, 910, -901, 911, -808]], [[1, -22, -43, 24, -35, -57, 86, -98, 79, -11, 0, 915, 6, 13, -38, 79]], [[456, 856, 23413, 11124, -345, 6114, -999, 101]], [[142, 137, 203, 8934, -500, -321, -23, 76832, -53621, -53621, -500, 142, 142, 142]], [[21, 31, 52, 38, -204, -206, 915, 53, -77, -901, 911, -808]], [[855, 11124, -345, 6114, -999, -204, 101, 6114, 455, -345]], [[142, -999, 203, 8934, -500, -321, -23, 76832, -53621, -53621]], [[20, 31, -40, 22, 23412, -204, -206, 21, 213, 161, -900, 915, 53, 456797, -901, 911, -808, 911]], [[142, 137, 204, 8934, -500, -321, -23, 76832, -53621, -53621, -500, 142, 142, 142]], [[21, -22222, 38, -206, 203, 22223, -900, 9, 53, -901, 911, -808]], [[142, 137, 203, -321, -23, -53621, -53621, -500]], [[13579, 24680, -86420, -97531, -3, 9, -8, -5, 5, 0, -4, 3, -2, 1]], [[-33333, -22222, -11111, 11111, 22222, 33333, 100000, -22222, -22222]], [[162, 21, 30, 38, -204, -206, 213, 161, -900, 915, 53, -77, -901, 911, -808]], [[86, -345, -1000, 200, -200, 500, -500, 199, 333, -333, 500]], [[456, 854, 43, 23413, 11124, -22, -6, -999, -876, 102, 854, -876]], [[226, 21, 31, 38, 22, -204, -206, 213, 161, -900, 915, 53, -77, -901, -808]], [[142, 137, 203, 8934, -500, -321, -23, 76832, -53621, -53621, -500, 142, 142, -53621, 142, -23, -53621]], [[456, 854, 11124, -22, 3, 6114, -999, -876, -998, 102, -876, -999, 456]], [[21, -22222, 38, -205, 213, 161, -900, 456798, 53, -901, 911, 213, -22221, -900, 161]], [[21, -22222, 39, -22221, -206, 213, 161, -3, 456798, 53, 911, -808, 213]], [[21, 30, 38, -204, -206, 213, 161, -900, 915, -77, -901, 911, -808]], [[24680, 21, 31, 38, -204, -206, 213, 161, -900, 915, 53, 39, 6, -901, 911, -808, -901]], [[-33332, -22222, -11111, 11111, 22222, 33333, 100000, 22222]], [[1000, 201, -1000, 200, 500, -500, 333, -333]], [[21, 31, 853, 22, 31, -204, -809, -206, 213, 161, -900, 915, 53, 101, -901, 911, -808, 916, -900]], [[789, 912, 677, 766, -16, 456798, 226, 8934, 56789, -15, -68, -987, 912]], [[-33333, -22222, -11112, 11111, 22222, 755, 33333, 100000, 22222]], [[21, -22222, 456797, -206, 203, -900, 456798, 53, 910, 911, -808]], [[21, -22222, 456797, 38, -206, 203, -900, 456798, 53, 910, 911, -808, 910]], [[86, -345, -1000, 200, -200, 500, -500, 333, -333, 500, -1000]], [[142, 137, 8935, -500, 203, -23, 76832, -53621, -53621]], [[21, -22222, 456797, 38, -206, 203, -900, 456798, 53, -901, 910, 911, -808, 456797]], [[21, 67054, 30, 38, -204, -206, 213, 161, -900, 915, 52, -77, -901, 911, -808, 21]], [[21, 31, 38, -203, -206, 213, 161, -900, 915, 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33333], [-900, -808, -204, 2, -68, 21, 21, -206, 213, 213, 161, 29, 38, 911, 915, 915, 915], [-900, -900, -902, -902, -204, 2, -68, 20, 21, 30, 21, -206, 500, 213, 53, 915, 915, 79, 855], [-40, -41, -20, -21, -32, -33, 1, 10, -12, -34, 2, 11, -13, 3, -14, 30, -36, -36, 4, -15, 22, 31, -37, 13, 5, -16, 23, -38, 50, 6, -17, 24, -39, 42, 7, -18, 25, 8, -19, 26, 44, 9, 27, 28, 46, 47, 29, 47, 29, 48, 49, 49], [-11111, 11110, -22222, -22223, -33333, 22222, 33333], [-43, -98, -22, -11, 0, -11, 1, -35, -57, 13, -38, 6, 25, 86, 79, 788], [-40, -41, -20, -21, -32, -33, 1, 10, -12, -34, -34, 2, 11, -13, -35, 3, -14, 30, -36, 4, -15, 22, 31, -37, 5, -16, 23, -38, 50, 6, -17, 24, -39, 42, 7, -18, 25, 43, 8, 26, 44, 26, 9, 27, 45, 28, 28, 46, 29, 47, 29, 48, 49], [-900, -77, -808, -204, -68, 21, 21, -206, -206, 213, 161, 53, 333, 38, 911], [-8, -6, -2, -2, 0, 3, 3, -86420, -37, -97531, 7, -97531, 9], [-68, -15, -987, 226, 912, 912, 766, 677, 789, 8934, 789, 56789, 456798], [-500, -200, -1000, 1000, 200, -333, 500, 333, 333, 334], [-43, -98, -98, -22, -11, 0, 1, 1, -35, -57, -36, 13, 11111, -38, 24, 7, 86, 78, 79], [-98, -22, -11, 0, 0, 1, -35, -86420, -38, 24, -53621], [-902, -40, -41, -21, -21, -33, 1, 10, -12, -34, 2, -13, -35, 3, -14, 30, -36, 30, 4, -15, 22, 31, -37, 4, -876, 5, 23, -38, 50, 6, 141, -17, 24, -39, 42, -18, 25, 43, 44, 8, -19, 26, 44, 9, 27, 45, 28, 46, 29, 47, 29, 48, 49, 457], [-22, 101, -344, -876, -345, -345, 11124, -999, 6114, 456, 855], [-40, -20, -21, -32, -33, 1, -12, -34, 2, 11, -35, 3, -14, 30, -36, -14, 4, -15, 22, 31, -37, 5, -16, 23, -38, 50, 6, -17, 24, -39, 42, 42, 7, -18, 25, 43, 8, -19, 26, 44, 9, 27, 45, -33333, 28, 29, 47, 48, 49, 49, 78], [-900, -808, -78, -68, 21, 30, 21, -206, 500, 213, 161, 53, 38, 911, 49, 49, 915], [-40, -41, -20, -21, -33, 1, 10, -12, -34, 2, 11, -13, -35, 3, -14, 30, -36, 4, -15, 22, 31, -37, 4, -876, 5, 23, -38, -876, 50, 6, -17, 24, 42, 7, -18, 25, -53621, 43, 44, 8, -19, 26, 44, 9, 27, 45, 28, 46, 29, 47, 29, 48, 49], [-900, -900, -902, 2, 2, 21, 30, 21, -206, 500, 213, 53, 161, 915, 915, 79], [-900, -901, -77, -808, -204, -68, 21, 30, 21, -206, 213, 161, 53, 38, 911, 915], [-900, -902, -808, -204, -68, 21, 30, 21, -206, 213, 213, 161, 161, 38, 911, 915, 915, 915], [-43, -98, -22, -11, 0, 1, -35, -57, 3, 13, 23, -38, 24, 6, 24, 86, 78, 79], [-68, -86420, -15, 334, 227, 912, 915, 677, 788, 789, 8934, 8934, 56789, 456798], [-40, -41, -21, -32, -33, 1, 10, -12, -34, 2, 11, 2, -35, 3, -14, 30, 30, -36, -14, 30, 4, -15, -15, 13, 31, -37, 5, 23, 23, -38, 50, 6, -17, 24, -39, 42, 42, 7, -18, 25, 43, 8, -19, 26, 44, 9, 27, 45, 28, 46, 47, 48, 49], [-7, -200, -43, -22, -77, -11, 0, -11, 1, -35, -57, -57, 13, 6, 37, 86, 86, 79], [-43, -98, -22, -11, 0, 0, 0, 1, -35, -86420, -38, 24, -53621], [-98, -22, -11, 0, 1, 1, -35, -57, -36, 13, 11111, -38, 24, 7, 86, 78, 79], [100000, 100000, -11111, 11111, 11111, -22222, -33333, 28, 86, 86, 33333, 33333], [-900, -901, -77, -808, -204, -68, 21, 30, 21, 21, -206, 213, 161, 53, 54, 38, 911, 911, 915], [-500, -500, -321, 0, -23, 31, 203, 142, -53621, 137, 755, 76832], [-43, -98, -22, -11, 0, 0, 1, -38, 24, -53621, 79], [-500, -500, -500, 0, -23, -23, -57, -206, 203, 28, 76832], [-900, -902, -42, -808, -204, -68, 21, 30, 21, -206, 213, 161, 161, 38, 911, 38, 914, 915, 915, 915], [-901, -902, -809, 20, -204, -68, 21, 30, 21, 21, -206, 213, 161, 161, 38, 911, 915, 915], [-43, -98, -22, -11, 0, 0, 1, -15, -38, -38, 24, 79], [-43, -98, -22, -11, 0, -33, 0, 0, 1, -35, -57, -35, 13, 13, 13, -38, 24, 6, 86, 86, 79], [-2, -43, -98, -11, 0, 30, -38, 24, -53621, 53, -999, 6114, 79], [100000, 100000, 100000, 100000, -57, -11111, 11110, 11111, 11111, -22222, -33333, 22222, 86, 33333], [-900, -808, -204, 2, -68, 21, 21, -206, -206, 213, 161, 29, 38, 911, 456, 915, 915], [-40, -20, -21, -32, -33, -33, 1, 10, -12, -34, 2, 11, -35, 11, 3, -14, 30, -36, -14, 4, -15, 22, 31, -37, 5, -16, 23, -38, 50, 6, -17, 24, -39, 42, 42, 7, -18, 25, 43, 8, -19, 26, 26, 44, 9, 45, 28, 28, 46, 29, 47, 49, 49, 78], [-43, -98, -11, 1, -35, 3, 13, -38, 24, 6, 24, 86, 78, 79], [-43, -98, -43, -22, -11, 0, 0, 1, -809, -35, -57, -38, 24, 6], [-8, -6, -2, 0, 1, -36, 3, -86420, 5, -97531, 7, -97531, 9, 24680], [-8, -6, -2, 0, 1, 213, -97531, 7, 9, 912, 24680], [20, -68, -86420, -15, -86420, 227, 912, 915, 677, 788, 789, 8934, 8934, 456798], [-22, -34, 101, 31, -345, 24, 11123, 8, 11124, -999, 6114, 6114, 23413, 456, 855], [-15, 226, 912, 766, 677, 789, 8934, 8934, 56789, 456798], [100000, -11111, 11111, -22222, 11112, -33333, 22222, 22222, 86, 33333], [-43, -98, -22, 0, -11, 0, 1, -23, 1, -57, 13, -38, 24, 7, 86, 78, 79], [-500, -500, 0, -23, 203, -345, -53621, 28, 137, 76832], [-43, -98, -22, -11, 0, 0, -22, 1, -38, 24, -53621, 79], [-43, -98, -22, -11, 0, -11, 1, -35, -57, 13, -38, 24, 6, -53621, 86, 79, 9999999], [-43, -98, -22, -11, 0, -11, 1, -35, -57, 13, -38, 24, 6, 6, 86, 79], [-900, -902, -41, -42, -204, 2, -68, 21, 30, 21, -206, 213, 161, 38, 911, 914, 915, 915], [-40, -41, -20, -21, -32, -1, -33, 1, 10, -12, -34, 2, 11, -35, 3, -14, 30, -36, -14, 4, -15, 22, 31, -37, 5, -16, 23, -38, 50, 6, -17, 24, -39, 42, 42, 7, 25, 43, 8, -19, 26, 44, 9, 27, 45, 28, 46, 29, 47, 48, 49, 914], [], [-40, -20, -21, -22, -33, 10, -12, -34, 2, 11, -35, 3, -14, 30, -36, -14, 4, -15, 22, 31, -37, -37, 5, -16, 23, -38, 50, 6, -17, 24, -39, 42, 42, 7, -18, 25, 43, 8, -19, 26, 44, 9, 27, 45, 28, 28, 46, 29, 47, 48, 49, 78], [20, -68, -86420, -15, -86420, 227, 912, 915, 677, 677, 788, 789, 8934, 8934, 456798], [-43, -98, -22, 0, -11, -11, 1, -34, -35, -57, 13, -38, 24, 6, 86, 86, 79], [-43, -98, -22, -11, 0, 0, -38, 24, -345, -53621, 79], [-900, -902, -808, -204, -68, 21, 30, 21, -206, 213, -345, 161, 161, 910, 38, 915, 915, 915], [-6, -43, -98, -22, -11, 0, -11, 1, -57, 13, 13, -38, 24, 6, 6, 86, 79], [100000, -11111, 11111, 11111, 11111, 11111, -22222, -33333, -999, -999, 33333], [-43, -22, -11, 0, 0, 1, 24, 6, 28, 79], [-43, -98, -98, -22, -22, -11, 0, 1, -35, -57, 3, -37, 13, -38, 24, 6, 24, 25, 86, 78, 79], [-86, -43, -98, -22, 0, -11, 0, 1, -23, 1, -57, 13, -38, 24, 7, 86, 78, 79], [-22, -34, 101, -876, -345, 24, 11123, 8, 11124, -999, 23412, 6114, 6114, 23413, 456, 855], [-500, -500, -321, 0, 0, -23, 1, 31, 203, 142, -53621, 137, 755, 76832], [-68, -15, -987, 226, 912, 912, 766, 677, 789, 789, 56789, 456798], [-43, -98, -22, -11, 0, 0, 1, -35, 11110, -38, 24, 6, 79], [-900, -901, -77, -808, -68, 21, 30, 21, 30, -206, 500, 213, 161, 53, 161, 38, 911, 915], [-900, -900, -902, -40, -808, -204, 2, -68, -68, 21, 30, 21, -206, 213, 161, 38, 914, 915, 915], [-900, -900, -902, -43, 2, 2, 21, 30, 21, -206, 213, 53, 161, 161, 915, 915, 79], [-500, -321, -808, 0, -23, 202, -207, 203, 141, -53621, 137, 76832, 76832], [-900, -901, -77, -808, -68, 30, 21, -206, 500, 213, 161, 53, 161, 38, 911, 911, 915, 8323, 8324], [100000, 100000, -11111, 11111, 11111, -22222, 11112, -33333, 28, 86, 86, 33333, 33333], [-15, -97531, -33334, 912, 677, 789, 8934, 8934, 56789, 456798], [-900, -808, -204, 2, -68, 21, 21, 22, 23, 213, 161, 29, 38, 911, 456, 915, 915], [-22, -34, 101, -876, -345, -345, -345, -345, 11123, 11124, -999, 6114, 23413, 456, 855], [-7, -200, -43, -77, -11, 0, -11, 1, -35, -57, -57, 13, 6, 53, 37, 86, 86, 86, 79], [-40, -20, -21, -32, -33, 1, -12, -34, 2, 11, -35, 3, -14, 30, -36, -14, 4, -15, 22, 31, -37, 5, -16, 23, -38, 50, 6, -17, 24, -39, 42, 42, 7, -18, 25, 43, 8, 26, -19, 26, 44, 9, 27, 45, -33333, 28, 29, 47, 29, 48, 49, 49, 78], [-43, -98, -43, -22, 0, -11, 0, 1, 1, -35, -57, -36, 13, -38, 24, 7, 86, 78, 915, 79], [-41, -20, -21, -32, -33, 1, 10, -12, 10, -34, 2, 11, -13, -35, 3, -14, 30, -36, 4, -15, 22, 31, -37, 5, -16, 23, -38, 50, 23, 6, -17, 24, -39, 42, 7, -18, 25, 43, 8, -19, 26, 44, 9, 27, 45, 28, 46, 29, 47, 29, 48, 49, 79], [-41, -21, -32, -33, 1, 10, -12, -34, 2, 11, 2, -35, 3, -14, 30, 30, -36, -14, 30, 4, -15, 22, 31, -37, 5, -16, 23, -38, 50, 6, -17, 24, -39, 42, 42, 7, -18, 25, 43, 8, -19, 26, 44, 9, 27, 45, 28, 46, 47, 49], [-900, -902, -808, -204, -68, 21, 30, 21, -206, 161, 910, 38, 915, 915, 915, 76831], [-902, -808, -204, -68, 21, 21, -206, 213, -987, 161, 161, -899, 38, 911, 915], [-500, -200, -1001, 1000, 200, -333, 500, 333], [-40, -20, -21, -32, -33, -33, 1, 10, -12, -34, 10, 2, 11, -35, 3, -14, 30, -36, -14, 4, -15, 22, 31, -37, 5, -16, 23, -38, 50, 6, -17, 24, -39, 42, 42, 7, -18, 25, 43, 8, -19, 26, 26, 44, 9, 45, 28, 28, 46, 29, 47, 912, 49, 49, 78], [100000, -11111, 11111, -22222, 11112, -22223, -33333, 22222, 22222, 86, 33333, 33334], [100000, 100000, -11111, 11111, 11111, -22222, -33333, 22222, 912, 86, 33333, 33333], [-901, -77, -808, -204, 21, 30, -207, 53, 53, 38, 911, 33333, 915], [100000, 100000, -11111, -11112, 11111, -22222, -33333, 22222, 33333], [-900, -900, -902, -902, -204, 2, -68, 21, 30, 21, 21, -206, 500, 213, 53, 161, 915, 915, 79], [-22, -34, 101, -876, -345, 24, 11123, 8, 11124, -999, 11124, 6114, 6114, 23413, 456, 855], [-86, 0, 54, -816508, 8325, 874, 6745, 67054, 9999999], [-900, -900, -902, -6, -808, -204, -68, 21, 30, 21, -206, 161, 161, 910, 38, 915, 915, 915, 76831], [-22, 101, -345, 11124, -999, 6114, 23413, 456, 855], [-900, -901, -77, -808, -808, 1000, -204, 21, 30, -206, 213, 161, 53, 38, 911, 914]]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(order_by_points)
print('___SENTINEL___')
| 2544b85e8545a47cb880056051111fc0 |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-4
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-04, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[[1, 11, -1, -11, -12]], [[]]]
results = [[-1, -11, 1, -12, 11], []]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(order_by_points)
print('___SENTINEL___')
| 91c232eeacdbf9a8f3d438cdcf5d3fb5 |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-6
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-07, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[[5, -2, 1, -5]], [[15, -73, 14, -15]], [[33, -2, -3, 45, 21, 109]], [[43, -12, 93, 125, 121, 109]], [[71, -2, -33, 75, 21, 19]], [[1]], [[]], [[24, -25, 9, 37, -71, -18]], [[57, -23, -15, 42, 99, 104]], [[6, 89, -12, 77, 13, 196]], [[101, -35, 16, 44, -67]], [[22, -33, -46, 89, -91, 128]], [[55, -62, 7, 99, 23, 18]], [[14, -8, 62, 71, -123, 39]], [[10, 12, 22, -76, 37]], [[39, 153, 240, -339]], [[11, 232, 324, -876, 799]], [[57, -23, -15, 42, 99, 56, 104, 42]], [[6, 89, -12, 77, 13, 196, 196]], [[24, -25, 37, -71, -18]], [[-23, -15, 42, 99, 56, 104, 42]], [[71, 55, -62, 7, 99, 23, 18]], [[57, -23, -15, 42, 99, 56, 104, 42, 42]], [[24, -25, 9, 37, -71, -91, -18, -71, -18]], [[24, -25, 9, 37, -71, -91, -71, -18]], [[57, -15, 42, 99, 56, 104, 42]], [[6, 12, 77, 13, 196, 196, 89, 196]], [[24, -25, 9, 37, -71, -35, -25]], [[-23, -15, 42, 99, 56, 104, 42, 104]], [[57, -23, -15, 42, 56, 104, 42, 42]], [[104, 14, -8, 62, 72, 39]], [[57, -23, -15, 42, 56, 104, 42, 42, 104]], [[10, 12, 22, 12]], [[6, 12, 22, 12]], [[6, 12, 324, 12]], [[14, -8, 62, 5, 6, -123, 39]], [[24, -25, 9, -91, -71, -91, -71, -18]], [[39, 152, 240, -339]], [[57, 57, -15, 42, 99, 104]], [[24, -25, 9, 37, -71, -17]], [[44, 152, 240, -339]], [[-23, -15, 42, 99, 56, 42]], [[89, -25, 9, -91, -71, -91, -71, -18, 5]], [[57, -23, -15, -76, 99, 104]], [[11, 232, 324, -877, -876, 152, 799, 324]], [[14, -8, 62, 5, 6, -76, 6]], [[-8, 62, 37, 6, -76, 6]], [[71, 55, -62, 7, 99, 23, 18, 99]], [[239, 39, 152, 240, -339]], [[39, 154, 240, -339]], [[10, 22, -76, 37]], [[101, -35, 16, 44, -67, -67]], [[39, 155, 240, -339]], [[39, 152, 241, -339]], [[24, -25, 9, -91, -67, -71, -91, -71, -18]], [[24, -25, 9, -71]], [[57, -15, 99, 56, 104, 42]], [[240, 39, 152, 241, -339]], [[39, 151, 152, 240]], [[-23, -15, 42, 99, 56, 104, -339, 42, 104]], [[57, -23, -15, 42, 104, 42, 42, 104, 42]], [[71, 55, -62, 7, 99, 23, 18, 99, 18]], [[39, 152, 240, 39]], [[71, 55, -62, 7, 99, 23, 18, 71, 55]], [[239, 39, 152, -35, 240, -339]], [[-23, -15, 42, 56, -339, 42, 104]], [[-23, -15, 42, 99, 56, 104, 42, 104, 56]], [[24, -25, 9, 12, 37, -71, -35, -25]], [[-8, 6, 62, 37, 6, -76, 36, 6]], [[6, 89, -12, 77, 196, 196]], [[39, 152, 241]], [[239, 39, 152, 39, 240, -339, -339]], [[240, 39, 152, 241]], [[-62, 232, 324, -877, -876, 152, 799, 324]], [[11, 232, 324, -877, 62, -876, 152, 799]], [[57, -23, -15, 42, 99, 56, 104, 42, 99]], [[39, 153, 99, 240, -339]], [[39, 104, 152, 240, 152]], [[12, 239, 152, 39, 240, -339]], [[10, 22, -76, 37, 10]], [[-25, 9, 12, 37, -71, -35, -25]], [[57, -15, 99, 56, 104, 42, 104]], [[57, -15, -123, 99, 56, 104, 42]], [[101, -35, 44, -67, -67]], [[55, -62, 7, 23, 18]], [[14, -8, 62, 5, 6, -76, 6, 14]], [[14, -8, 62, -123, 39, -8]], [[14, -8, 62, -18, 6, -76, 6, 5]], [[24, -25, -876, 9, 37, -71, -18]], [[55, -62, 7, 241, 99, 23, 18]], [[-23, 42, 99, 56, 104, 42]], [[101, -35, 16, 44, -67, 42]], [[76, 6, 89, -12, 77, 13, 196, 196]], [[-23, -16, 42, 99, 56, 104, 42, 104]], [[57, -15, 56, 104, 42]], [[57, -23, -15, 42, 105, 104, 42, 42, 44, 104, 42]], [[-23, -16, 99, 56, 104, 42, 104]], [[55, -62, 7, 24, 18]], [[22, -33, -46, -91, 128]], [[-23, -15, 42, 99, 154, 42, -15]], [[14, -8, -18, 6, -76, 6, 6]], [[240, 39, 152, 240, -339]], [[-62, 232, 324, -46, -876, 152, 799, 324]], [[39, 240]], [[39, 241, 240, 39]], [[101, -35, 62, 16, 44, -67, 42]], [[123, 505, 789, 111]], [[63, 24, 84, 75, -56, 13]], [[11, 12, 13, 14, 15, 16]], [[100, 101, 102, 103, 104]], [[-324, 456, 1111, 7113]], [[-2, 4, 6, 8, 10, 12, 15]], [[11, -12, 93, -125, 121, 109]], [[33, -2, -3, 45, 21, 109, 121, 357, 1892]], [[120, 122, 414, 214, 615, 218, 8518, 21517, 2123, 918]], [[-123, 456, 789, 111]], [[100, 101, 102, 103, 21517, 104]], [[-2, 4, 6, 8, 14, 10, 12, 15]], [[120, 122, 414, 214, 615, 8518, 21517, 2123, 918]], [[11, -12, 93, -125, 121, 109, -125]], [[-12, 93, -125, 1111, 109]], [[123, 505, 505, 789, 111]], [[456, 789, 111]], [[100, 101, 102, 103, 104, 102]], [[-2, 4, 6, 8, 14, 10, 12, 103, 15]], [[100, 101, 102, 103]], [[11, 12, 13, 14, 15, 16, 13]], [[120, 122, 414, 214, 357, 8518, 21517, 2123, 918]], [[33, -2, -3, 45, 21, -2, 121, 357, 1892, -2]], [[11, 12, 103, 14, 15, 16]], [[33, 8, -3, 45, 21, -2, 121, 357, 1892, -2]], [[-123, 456, 789, 456]], [[-122, 456, 789, 456]], [[-123, 456, 789, 456, 789]], [[33, -2, -3, 45, 21, 109, 121, 1892]], [[120, 122, 414, 214, 357, 8518, 21517, 2123, 918, 2123]], [[120, 122, 414, 214, 218, 8518, 21517, 2123, 918]], [[123, 21517, 789, 111]], [[-123, 456, 1111, 111]], [[63, 24, 84, 75, -56]], [[120, 121, 122, 214, 357, 8518, 21517, 2123, 918]], [[-324, 4, 6, 8, 14, 12, 15]], [[123, 505, 788, 111, 123]], [[100, 101, 102, 102]], [[120, 122, 414, 214, 357, 8518, 21517, 2123, 918, 2123, 21517]], [[15, 11, 12, 103, 14, 12, 16]], [[11, -12, 93, -125, 121, 109, 93, 11]], [[-123, 93, 456, 789, 456]], [[100, 101, 103, 102]], [[120, 122, 414, 109, 615, 8518, 21517, 2123, 918]], [[789, 123, 789, 111]], [[-324, 4, 6, 8, 14, 12, 6]], [[100, 102, 103, 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-56, 12, 24, -56]], [[120, 122, 93, 414, 214, 615, 33, 218, 8518, 21517, -12, 918, 214]], [[120, 122, 615, 33, 218, 8518, 21517, 2123, 614, 918]], [[-324, 456, 10, 7113, 7113, 7113, 7113]], [[63, 76, -56, 13, 84]], [[63, 24, 84, -12, 614, 615, 75, -56, 13, 615]], [[-124, 789, 113, 616, 14, 112]], [[63, 24, 84, 615, -56, 10]], [[-3, -123, 456, -124, 789, 112]], [[33, 5, -2, -3, 45, 6, 109, 122, 32, 6]], [[11, 76, 93, -124, 214, 109]], [[-324, 456, 10, 1111, 7113, 7113, 7113, 7113, 7113]], [[32, -2, -2, -3, 45, 21, 109, 121, 357, -2]], [[62, 15, 505, 23, 14, -56, 23, -56]], [[120, 122, 414, 21517, 615, 122, 615, 218, 8518, 21517, 2123, 790, 6, 615, 615]], [[-124, 789, 113, 615, 14, 112, 113, 789]], [[-124, 789, 113, 615, 14, 120, 789, 113, 789, 789]], [[113, -123, 456, 790, -56, 111]], [[63, 24, 75, -12, 77, -56, 13, 84]], [[120, 122, 414, 214, 5, 615, 615, 218, 74, 21517, 2123, 918, 6, 615]], [[110, -123, 456, 788, 111, -123]], [[32, 76, 113, 10, 75, 84]], [[120, 122, 414, 21517, 615, 122, 2122, 615, 218, 8518, 21517, 918, 6, 615]], [[24, 23, -57, -57, 84, -56, -56]], [[32, 83, 24, -56, -56, 75, 84]], [[-124, 113, 615, 113, 112]], [[-324, 456, 10, 1111, 7113, 7113, 7113, 10]], [[120, 122, 414, 214, 615, 33, 218, 8518, 21517, 2123, 121, 614, -12, 918]], [[32, 24, 84, 75, 113]], [[-123, 456, 789, 24, 112, 112]], [[63, 24, 85, 84, 25, -2, 75, -56, 13]], [[63, 15, 84, 75, 21, 14, 15]], [[456, 1111, 7113, 1111, 1111]], [[-123, 788, 111, -123]], [[120, 122, 615, 33, 218, 8518, 21517, 2123, 614, 918, 218]], [[63, 24, 84, 75, -56, 10, 76]], [[24, 84, 75, -55, 10, 24, 10, -57, 24]], [[-123, 111]], [[24, 108, -56, 10, 10, -56, 10]], [[33, 15, 5, -2, 62, 45, 6, 109, 121, 1892, 6, -2]], [[790, 24, 23, -57, -56, 84, -56, -56]], [[63, 75, -56, 13, 84, 84]], [[24, 84, 75, -56, 10, 10, -56, 74]], [[-123, 456, 789, 24, 112, -123]], [[32, 83, 24, -56, 10, 75, 84]], [[16, 32, 76, 24, 84, 75, -56, 10, 75, 84]], [[33, 5, 5, -2, 14, -3, 45, 6, 109, 20, 121, 357, 1892, 6, 5]], [[63, 24, 75, -12, 77, -56, 13]], [[32, 76, 24, 84, 75, 10]], [[24, 84, 75, -56, 10, 24, 84, 615, 10, -56, 24]], [[33, -2, -3, 45, 4, 21, 109, 121, 357]], [[120, 122, 93, 414, 214, 615, 33, 218, 20, 8518, 21517, -12, 918, 33]], [[63, 24, 84, 75, -56, 10, 10, 63]], [[11, 9, -12, 93, -125, 121, 109]], [[-124, 789, 113, 615, 14, 112, 113, 112]], [[24, 84, 75, -56, 10, 10, 24]], [[63, 85, 76, 24, 24, 84, 75, -56, 10, 84]], [[790, 24, 23, -56, 84, -56, -56]], [[16, 32, 76, 24, 84, 75, -56, 75, 84]], [[505, 789, 111, 505]], [[-124, 113, 789, 113, 14]], [[63, 15, 84, 75, 85, 13]], [[33, 5, -2, -3, 76, 45, 6, 109, 121, 357, 1892, 6]], [[-123, 456, 789, 112, -123, 112]], [[63, 76, 13, 84]], [[-124, 114, 789, 113, 615, 14, 112]], [[120, 122, 414, 214, 615, 615, 218, 8518, 21517, 2123, 918, 6, 111, 6]], [[32, 83, 24, -55, -56, -56, 75, 84]], [[120, 122, 214, 615, 615, 218, 8518, 21517, 2123, 918, 615]], [[32, 24, 84, 112]], [[63, 15, 84, 75, 75, -57]], [[63, 24, 84, 75, -56, 76, 10, 10, 24]], [[4, 6, 8, 12, 15]], [[63, 15, 11, 23, 14, -56]], [[63, 24, 75, 45, 76, 75, 13, 74, 76]], [[15, -56, 75, -56, 21, 1892, 15, -56, -56]], [[21517, 103, 100, 101, 102, 103, 104, 21517, 103]], [[120, 122, 414, 8518, 215, 615, 218, 8518, 21517, 213]], [[63, 84, 75, 85, -56, 75, 77]], [[63, 24, 84, 615, 75, -56, 614, 75, 13, 614]], [[120, 122, 414, 214, 615, 33, 218, 8518, 21517, 103, 2123, -12, 918, 414, 615]], [[616, 63, 24, 84, 615, 75, -56, 13, 615, 615, 24]], [[123, 505, 789, 111, 111, 505]], [[10, 12, 14, 13, 7113, 15, 16, 12]], [[11, 12, 13, 12, 14, 15, 16, 11]], [[63, 15, 84, 93, 16, -56, 13]], [[120, 456, 101, 788, -122]], [[32, -2, -3, 45, 21, 109, 121, 357, -3]], [[32, -2, -3, 45, 21, 109, 218, 357, -2]], [[84, -56, 75, -56, 10, 24, 10, -56, 24]], [[122, 108, 63, 121, 123, 84, 75, -56, 122]], [[63, 24, 85, 84, 25, 75, -56, 13]], [[615, 616, 63, -56, 24, 84, 84, 615, 76, -56, 13, 615, 614]], [[15, 75, -56, 21, 32, 15, -56, 75]], [[63, 24, 76, 75, 77, 13, 74, 75]], [[63, 15, 84, 75, -56, 21, 13, 64, 15, 13, 13, 13]], [[120, 122, 414, 214, 615, 615, 218, 8518, 21517, 1111, 918, 615, 615]], [[-123, 456, 789, 111, -123, -122, -123, 789]], [[63, 24, 84, 75, -56, 10, 10]], [[21517, 103, 100, 101, 102, 103, 6, 21517, 103]], [[63, 24, 84, 75, 45, 76, 75, 74]], [[31, 76, 24, 84, 75, -56, 10, 74]], [[11, 12, 13, 12, 918, 15, 16, 11]], [[-56, 456, 75, 112]], [[33, -3, 357, 21, 109, 121, 357, 1892, 45]], [[11, 615, 93, 214, 109, 109]], [[63, -56, 13, 84]], [[12, 15, 16]], [[63, 76, 24, 63, 84, 75, -56, 10, 10]], [[32, 24, 84, 75, 11, 75]], [[100, 101, 24, 103, 103]], [[32, 76, 84, 75, -56, 10, 24, 75, 7113, 84, 32]], [[11, -12, 93, -125, -125, 109, -125]], [[63, 84, 75, -56, 10, 76]], [[120, 122, 414, 21517, 615, 122, 2122, 615, 218, 21517, 2123, 918, 6, 616]], [[-123, 456, 789, 112, -123]], [[4, -2, -3, 45, 6, 121, 357, 1892, 6, -3, 6]], [[31, 84, 75, -56, 64, 74]], [[100, 15, 101, 102, 5, 103, 104]], [[614, 62, 101, 24, 100, 100]], [[33, 5, -2, -3, 455, 45, 6, 109, 121, 357, 1892, 6]], [[33, 5, -2, -3, 6, 1892, 121, 357, 1892, 6]], [[24, 83, 84, 75, 10, -56, 24]], [[100, 24, 103, 103]], [[84, -56, 75, -56, 10, 24, 10, -56, 24, 10]], [[24, 84, -56, 10, 24, 10, 9, -56, 11, 24, 24]], [[26, -324, 1111, 7113]], [[-124, 789, 112, 112, -124]], [[789, -124, 789, 112]], [[-324, -122, 101, -324, 1111, 120, 101]], [[120, 122, 414, 214, 615, 33, 218, 8518, 21517, 64, 614, -12]], [[63, 24, 84, -12, 614, 615, 75, -56, 83, 13, 615]], [[-325, -324, 101, 1111, 120]], [[84, 63, 14, 24, 84, 75, -56, 75, 13, 63, 24]], [[-324, 456, 10, 7113, 7113, 7113, 4]], [[62, 15, 84, 75, 75, -57]]]
results = [0, 1, 2, 4, 3, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 3, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 3, 1, 0, 1, 0, 2, 2, 0, 1, 4, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 4, 2, 5, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 3, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 4, 2, 3, 2, 2, 1, 4, 4, 0, 2, 2, 1, 0, 4, 3, 5, 2, 2, 2, 2, 4, 1, 3, 3, 3, 1, 1, 2, 3, 1, 0, 3, 2, 1, 2, 1, 4, 1, 1, 3, 6, 2, 2, 1, 4, 0, 2, 1, 3, 0, 2, 2, 3, 1, 4, 2, 4, 2, 4, 6, 4, 2, 1, 2, 3, 3, 2, 3, 1, 3, 2, 4, 1, 2, 2, 2, 4, 2, 2, 2, 0, 1, 4, 1, 4, 1, 3, 3, 6, 2, 5, 1, 0, 1, 2, 4, 4, 3, 2, 7, 2, 6, 2, 5, 3, 0, 8, 1, 0, 1, 2, 8, 1, 2, 3, 2, 2, 2, 1, 1, 3, 2, 3, 1, 1, 3, 2, 6, 1, 2, 2, 3, 2, 2, 3, 1, 1, 2, 2, 4, 7, 2, 2, 2, 2, 1, 1, 3, 1, 0, 2, 1, 5, 2, 2, 2, 2, 10, 2, 3, 2, 4, 1, 2, 2, 0, 1, 7, 2, 5, 1, 3, 5, 1, 3, 2, 1, 1, 1, 4, 2, 4, 1, 1, 1, 0, 2, 1, 0, 1, 5, 0, 4, 5, 1, 2, 1, 2, 2, 6, 2, 1, 7, 3, 2, 4, 0, 2, 2, 8, 0, 4, 1, 2, 1, 2, 1, 2, 4, 3, 1, 2, 2, 6, 0, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 4, 3, 9, 1, 3, 3, 3, 5, 2, 2, 2, 3, 0, 1, 3, 1, 5, 0, 1, 2, 3, 1, 1, 0, 1, 3, 6, 0, 2, 1, 2, 1, 1, 4, 5, 6, 2, 2, 2, 2, 4, 3, 3, 2, 2, 4, 1, 3, 3, 2, 8, 5, 2, 2, 0, 2, 1, 3, 1, 3, 3, 1, 0, 2, 0, 4, 0, 2, 1, 1, 2, 0, 2, 2, 2, 3, 6, 2, 4, 0, 0, 2, 9, 2, 4, 3, 1, 1, 7, 2, 3, 2, 1, 3, 3, 3, 1, 0, 6, 1, 2, 1, 8, 4, 3, 3, 2, 3, 1, 1, 3, 1, 2, 3, 1, 2, 2, 1, 2, 3, 2, 0, 2, 5, 4, 1, 2, 2, 2, 0, 2, 4, 2, 2, 3, 4, 0, 0, 2, 2, 2, 2, 2, 6, 3, 2, 0, 1, 2, 0, 3, 1, 0, 2, 1, 2, 5, 1, 1, 2, 3, 6, 1, 4, 5, 2, 2, 2, 2, 6, 4, 1, 1, 1, 3, 0, 4, 11, 11, 2, 8, 2, 2, 3, 3, 4, 3, 0, 3, 3, 2, 6, 4, 3, 2, 0, 5, 2, 2, 1, 1, 1, 3, 3, 7, 5, 4, 4, 5, 1, 1, 1, 2, 1, 1, 0, 3, 1, 0, 2, 5, 2, 6, 2, 2, 2, 5, 5, 0, 1, 1, 2, 3, 3, 6, 3, 2, 3, 0, 3, 3, 6, 2, 0, 4, 3, 2, 3, 1, 5, 1, 1, 2, 5, 1, 2, 4, 3, 5, 2, 1, 3, 15, 0, 1, 0, 0, 0, 1, 2, 0, 3, 3, 3, 3, 3, 1, 3, 5, 1, 4, 1, 1, 1, 1, 4, 4, 3, 2, 1, 1, 2, 1, 3, 2, 3, 2, 2, 3, 3, 4, 3, 2, 4, 4, 1, 3, 2, 3, 1, 2, 1, 2, 1, 1, 2, 1, 3, 3, 3, 1, 3, 1, 3, 4, 0, 2, 2, 2, 2, 2, 1, 1, 3, 0, 2, 2, 0, 3, 3, 2, 1, 2, 0, 3, 1, 0, 2, 3, 1, 3, 2, 1, 4, 2, 1, 0, 1, 1, 4, 0, 4, 1, 2, 3, 4, 2, 2, 1, 3, 4, 4, 1, 1, 3, 0, 2, 3, 1, 2, 3, 3, 4, 2, 1, 1, 1, 2, 4, 1, 3, 0, 1, 3, 3, 1, 0, 3, 1, 4, 3, 2, 4, 1, 4, 3, 3, 3, 3, 5, 2, 3, 0, 1, 3, 1, 3, 1, 0, 4, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 1, 6, 1, 4, 2, 1, 3, 3, 3, 2, 3, 2, 2, 1, 2, 1, 2, 3, 2, 4, 1, 2, 5, 3, 1, 1, 1, 1, 0, 3, 4, 5, 4, 2, 1, 2, 3, 1, 3, 3, 1, 3, 5, 2, 3, 2, 0, 3, 1, 4, 1, 2, 2, 1, 3, 2, 1, 4, 1, 4, 4, 1, 1, 0, 2, 3, 1, 1, 3, 1, 3, 2, 3, 0, 3, 2, 3, 4, 3, 3, 6, 1, 1, 5, 1, 2, 1, 4, 1, 2, 2, 0, 1, 2, 3, 6, 3, 2, 0, 4, 6, 2, 3, 0, 1, 2, 0, 0, 1, 2, 4, 2, 2, 1, 2, 3, 4, 1, 1, 1, 1, 1, 0, 4, 0, 2, 1, 1, 1, 2, 4, 3, 1, 1, 4, 3, 1, 4, 3, 1, 1, 0, 2, 4, 3, 3, 4, 1, 1, 2, 1, 1, 0, 0, 3, 1, 1, 2, 3, 3, 4, 0, 3, 3, 2, 2, 6, 3, 4, 3, 1, 3, 2, 1, 3, 2, 1, 4, 4, 7, 1, 3, 1, 4, 2, 2, 4, 1, 5, 4, 1, 1, 1, 3, 3, 3, 3, 1, 0, 1, 2, 2, 3, 1, 4, 3, 1, 2, 1, 1, 2, 1, 2, 3, 1, 2, 2, 3, 3, 3]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(specialFilter)
print('___SENTINEL___')
| 9a8384e141c3907b9a6099944ddefaac |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-4
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-04, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[[15, -73, 14, -15]], [[33, -2, -3, 45, 21, 109]]]
results = [1, 2]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(specialFilter)
print('___SENTINEL___')
| e9675a3b62f8174f53dce8fccc9c2da7 |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-6
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-07, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[5], [6], [10], [100], [1], [2], [3], [4], [7], [12], [15], [20], [25], [30], [29], [16], [19], [18], [17], [21], [26], [31], [11], [22], [8], [27], [24], [32], [28], [33], [23], [9], [14], [13], [34], [35], [36], [49], [37], [73], [77], [50], [74], [75], [76], [38], [78], [48], [51], [52], [98], [79], [53], [72], [42], [41], [99], [80], [54], [40], [68], [39], [81], [67], [69], [43], [61], [70], [65], [71], [102], [101], [82], [47], [46], [66], [45], [57], [60], [58], [59], [103], [97], [56], [104], [96], [44], [105], [83], [95], [94], [64], [84], [85], [63], [86], [55], [87], [62], [200], [199], [201], [198], [202], [90], [91], [92], [203], [93], [197], [196], [195], [194], [204], [88]]
results = [1, 4, 36, 53361, False, False, 0, 1, 10, 60, 130, 321, 736, 1260, 1089, 175, 306, 240, 185, 399, 764, 1450, 39, 490, 11, 900, 616, 1495, 1053, 1705, 511, 21, 94, 88, 1936, 1991, 2244, 6016, 2520, 20448, 23425, 6136, 20724, 21900, 23125, 2586, 24700, 5520, 6664, 7225, 49136, 26026, 7361, 19320, 3640, 3289, 51216, 26351, 7956, 3211, 15961, 2886, 27729, 15730, 16951, 4018, 11800, 17986, 13881, 18239, 56100, 53889, 29160, 5055, 4950, 14784, 4515, 9405, 11020, 10108, 10279, 58378, 48640, 8739, 58939, 46624, 4109, 61285, 29511, 44671, 44206, 13671, 30996, 32536, 12810, 32914, 8586, 34510, 11990, 431211, 429066, 439989, 420420, 448900, 38280, 40050, 40485, 451111, 42315, 411905, 409825, 401440, 393184, 460156, 36163]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(get_max_triples)
print('___SENTINEL___')
| 952856313ccd08524fcc2060b60c5c9c |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-4
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-04, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[5]]
results = [1]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(get_max_triples)
print('___SENTINEL___')
| cc106600e04219968813d10cb61b0ae8 |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-6
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-07, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [['Jupiter', 'Neptune'], ['Earth', 'Mercury'], ['Mercury', 'Uranus'], ['Neptune', 'Venus'], ['Earth', 'Earth'], ['Mars', 'Earth'], ['Jupiter', 'Makemake'], ['Neptune', 'Mercury'], ['Jupiter', 'Mars'], ['Mercury', 'Saturn'], ['Pluto', 'Mars'], ['Mercury', 'Venus'], ['Neptune', 'Saturn'], ['Earth', 'Neptune'], ['Uranus', 'Jupiter'], ['Mercury', 'Neptune'], ['Venus', 'Mars'], ['NeptunMarse', 'MeurJupitery'], ['MercuNeptunMarsery', 'Neptune'], ['Mercury', 'Mercury'], ['MercuNeptunMarsery', 'Mars'], ['', 'NeptuMarsn'], ['Pluto', 'Earth'], ['rn', 'Sturn'], ['ury', 'Mercrury'], ['Mar', 'Mar'], ['Earth', 'MerVenuscury'], ['rnth', 'Earath'], ['Pluto', 'Earath'], ['', 'NepntuMarsn'], ['Pluto', 'UranusEarth'], ['Pluto', 'Pluto'], ['Sturn', 'Sturn'], ['UranusEarth', 'Pluto'], ['UranusEarth', 'Mars'], ['xrON', 'Mars'], ['Puluto', 'Pluto'], ['NeptunePluto', 'UrntVenushranusEarth'], ['rnth', 'MeurJupitery'], ['Mars', 's'], ['tJupiter', 'Mars'], ['rnth', 'rntPlutoh'], ['rnthh', 'UrntVenushraMercurynusEarth'], ['Plo', 'Pluto'], ['Puluto', 'Earath'], ['Venus', 'MaNepntuMarsnrs'], ['Plsuto', 'Pluto'], ['Venus', 'UranusEarth'], ['Saturn', 'Saturn'], ['uSturnPuluto', 'rntPlutohuSturn'], ['sMaNepntuMarsnrs', 's'], ['Neptune', 'Neptune'], ['Mercrury', 'MarstJupiter'], ['Sturn', 'MarstJupiterSturn'], ['', 'NepntueMarsn'], ['aMars', 's'], ['NeptunMarse', 's'], ['Earath', 'Puluto'], ['NepPlutontueMarsn', 'NepntueMarsn'], ['NeptunMarse', 'NepntuMarsn'], ['ss', 's'], ['MarMr', 'Mar'], ['PuluMercruryo', 'Earath'], ['NepntueMarsn', 'NepntueMarsn'], ['Pluto', 'Plutuo'], ['NepPlutontueMarsn', 'NepPlutontueMarsn'], ['Neptuneuto', 'NeptunePluto'], ['Pluto', 'PMars'], ['Pluto', 'PMPPNepntuMarsnars'], ['MPlutuoercury', 'Mercury'], ['JupUranuser', 'Mars'], ['EartMeurJupiteryh', 'Mercury'], ['Pluto', 'tEarth'], ['Sturn', 'MarstJupiterSturnxrON'], ['lPluto', 'lPluto'], ['MPlutuoercury', 'MPlutuoPulutoury'], ['Pululto', 'Pululto'], ['tJupiter', 'PlsutoMars'], ['Earth', 'NeptuPulultone'], ['tJupiterMercurPMPPNepntuMarsnars', 'tJupiterMercury'], ['UrntVenushraMercurynusEarth', 'UrntVenushraMercurynusEarth'], ['', 'EarthPuluMercruryo'], ['PlutoaMars', 'Pluto'], ['rntPlutohuSturn', 'uSturnPuluto'], ['JupUranuser', 'ars'], ['aMarMMarMrr', 'aMar'], ['Pluto', 'MarMr'], ['Mar', 'Neptune'], ['PxrONlutto', 'tEarth'], ['urMarstJupiterSturnxrONy', 'Mercrury'], ['Earrth', 'MerVVenusenuscuruy'], ['cMerc', 'cMerc'], ['rn', 'SaturnStur'], ['Mercruy', 'MarsteJupiter'], ['Mrnercury', 'Mrnercury'], ['MarsteJuer', 'MarsteJupite'], ['Earth', 'NeptuPulultonne'], ['Earth', 'Sturn'], ['Earth', 'Mercy'], ['MeruVVenusnuscuruy', 'MeruVVen'], ['Mars', 'Neptune'], ['Saturn', 'Mercury'], ['Jupiter', 'Venus'], ['Jupiter', 'Jupiter'], ['Jupi', 'Jupiter'], ['Meurcury', 'Jupiter'], ['PUranuslMeurcuryuto', 'PUranusluto'], ['Jupiter', 'Veneus'], ['Jupi', 'Jiter'], ['Pluto', 'uto'], ['EaMercuryh', 'Pluto'], ['PUranuslMeurcuryuto', 'PUranuJiterury'], ['uto', 'JupitJupiterer'], ['MeVenusrcury', 'PUranusluto'], ['Jupi', 'J'], ['MeVenusrcurNeptuney', 'MeVenusrcurNeptuney'], ['PUranuslMeurcuryuto', 'PUranu'], ['Jupi', 'Uranus'], ['MeVenusrcurNeptuney', 's'], ['PUranusluto', 'Mars'], ['uto', 'uto'], ['Venues', 'Venus'], ['Merry', 'Mercury'], ['VeMeurcurynues', 'Venus'], ['JJupiterupiter', 'Vensus'], ['PUranu', 'Jupi'], ['Venus', 'Venues'], ['UrasnUus', 'Jupiter'], ['Venus', 'MeVenusrcurNeptuneyMercury'], ['UUranus', 'Jiter'], ['Mercury', 'MMercury'], ['VeMeurcurynues', 'Plut'], ['MMercur', 'MMercur'], ['Neptne', 'Neptune'], ['Venues', 'MeurcuryVensus'], ['Veneu', 'Jiter'], ['MeVenusrcury', 'Vensus'], ['Venus', 'MeVenusrcury'], ['uotoPlut', 'utoPlut'], ['JuVeMeurcurynuespi', 'J'], ['JuVeMeurcurynuespi', 'MMercury'], ['Mercury', 'MrerMcury'], ['Uranus', 'Pluto'], ['JupiutJupiterer', 'JupiutJupiterer'], ['Meuyrccury', 'Meurcury'], ['Mercury', 'MJiterercury'], ['JupitJupiterer', 'Jupupiterer'], ['s', 'Jupi'], ['Merry', 'MeVenusrcurNeptuney'], ['PlMeuyrccuryu', 'Pluto'], ['PUranuslMeurcurryuto', 'PUranuJiterury'], ['PlMeuyrcPUranucuryu', 'uto'], ['MMercury', 'MMercury'], ['MeVenusrcurNeptuney', 'Pluto'], ['MeVenusrcurNeptuneyMercury', 'MeVenusrcurNeptuney'], ['MeurcuryVensus', 'MeurcuryVensus'], ['Jiter', 'Mercury'], ['Plut', 'J'], ['Satuurn', 'Saturn'], ['MMercury', 'JuVeMeurcurynuespi'], ['MJSatuurniterercuryPUranuslMeurcuryuto', 'MJSatuurniterercuryPUranuslMeurcuryuto'], ['JupMercuryiutJupiterer', 'JupiutJupiterer'], ['s', 'JupiMerry'], ['JupiMerry', 'JupiMerry'], ['JMJSatuurniterercuryPUranuslMeurcuryuto', 'Jupi'], ['NpepteunVeneus', 'J'], ['MeVenusrcury', 'PUranJMJSatuurniterercuryPUranuslMeurcuryrutousluto'], ['uotoPlPut', 'utoPlut'], ['Jiter', 'Jiter'], ['ss', 'J'], ['Uranus', 'Uranus'], ['Veneu', 'Veneu'], ['PUranu', 'MercuryJupi'], ['utSatuurno', 'utoo'], ['Venues', 'MeMMercMury'], ['Veneu', 'PUranusluto'], ['Plut', 'Pluto'], ['Vensus', 'MeVenusrcury'], ['JMJSatuurniterercuryMeurcuryVensusPUranuslMeurcuryuto', 's'], ['PUranusluto', 'PtUranusluto'], ['UUranus', 's'], ['MeMMercMury', 'VenuJupMercuryiutJupiterers'], ['Jite', 'Jiter'], ['NppepteunVeneus', 'NpepteunVeneus'], ['Plut', 'JJupiter'], ['Meuyrccury', 's'], ['Jupiter', 'Venuus'], ['JupJupiteriter', 'Jupiter'], ['Earth', 'MercSaturnury'], ['Neptne', 'MMercur'], ['Jiter', 'Venuus'], ['JupJupiteriter', 'MMercury'], ['Pluto', 'Earrth'], ['JupJupiteriter', 'UrasnUus'], ['pNeptne', 'MMercur'], ['eVenues', 'Venus'], ['s', 's'], ['MrerMcury', 'Venus'], ['MJSatuurniterercuryPUranuslMeurcuryuto', 'PUrJJupiterupiteranu'], ['MeVenusrcMercuryJupiurNeptuney', 'Pluto'], ['PlMeuyrcPUranucuryu', 'MeVenusrcurNeptuneyMercury'], ['PUrJJupiterupiteranu', 'ss'], ['eVenues', 'eVenues'], ['rMerry', 'MercuMeVenusrcurNeptuneyry'], ['JupJiter', 'MJiterercury'], ['PUrannu', 'PUranu'], ['Mars', 'uotoPlPut'], ['utSatunurno', 'utoo'], ['VeneNpepteunVeneusu', 'Veneu'], ['Mas', 'MarMs'], ['rMerSaturnry', 'P'], ['SatPUranusVenuJupMercuryiutJupiterersJMJSatuurniterercuryPUranuslMeurcuryutolutourn', 'Mercury'], ['JupJiter', 'JupJiter'], ['PUrannu', 'PUrPlutoanu'], ['PUrVeneuJJupiterupiteranuotoPlutu', 'MJSatuurniterercuryPUranuslMeurcuryuto'], ['MarMs', 'JupitJupiterer'], ['NppeepteunVeneus', 'NppepteunVeneus'], ['Mars', 'Mars'], ['JupJtiter', 'JupJiter'], ['JuVeMeurcurynuespiVenuus', 'JuVeMeurcurynuespiVenuus'], ['VeMeurcurynues', 'lut'], ['MeVenusrcurNeptuneyMercury', 'Mercury'], ['MMercury', 'JuVeMeurcurynruespi'], ['Jiter', 'JitPUranuslMeurcuryutoJer'], ['Vensus', 'MeVenuotoPlPutusrcury'], ['UPUranuJiteruryMarMsranus', 'UPUranuJiteruryMarMsranus'], ['MUrasnUus', 'JMJSatuurniterercuryMeurcuryVensusPUranuslMeurcuryuto'], ['JJupiter', 'Pluto'], ['Meurcuury', 'Meurcury'], ['Saturn', 'Venus'], ['PUranuslMeurMMercuryryuto', 'PUranuslMeurcuryuto'], ['JitPUranuslMeurcuryutoJer', 'uotoPlPut'], ['PtUranursluto', 'JMJSatuurniterercuryPUranuslMueurcuryuto'], ['Satuurn', 'Satuurn'], ['Maas', 'MMercur'], ['eVenues', 'eVen'], ['PlMeuyrccuryPu', 'Pluto'], ['MercuMeVenusrurNeptuneyry', 'MercuMeVenusrcurNeptuneyry'], ['JitPUranuslMeurcuryutoJer', 'Vensus'], ['Venus', 'MeMMercMury'], ['NppepteunVeneus', 'NppepteunVeneus'], ['pNeptne', 'Jiter'], ['JupiMerry', 'Vensus'], ['Jupi', 'JuPtUranurslutoi'], ['JMJSatuurniterercuryPUranuslMeurcuryuto', 'JMJSatuurniterercuryPUranuslMeurcuryuto'], ['Venus', 'rMerry'], ['UPUranuJiteruryMarMsranus', 'UPUranuJPUrannuiteruryMarMsranus'], ['Venus', 'Venus'], ['Pluo', 'Pluto'], ['MMerMMercurcury', 'VeMeurcEarthurynues'], ['uto', 'UPUranuJiteruryMarMsranus'], ['Jupi', 'PUrJJupitrupiteranu'], ['JupJupiteriMrerMcuryter', 'JupJupiteriter'], ['utoo', 'MeVenuotoPlPutusrcury'], ['VenuPluts', 'MeMMercMury'], ['PlMeuyrcPUranucuryu', 'uuto'], ['JupJtiter', 'Pluto'], ['MeVenusrcury', 'MeVenusJupiutJupitererrcury'], ['VeJMJSatuurniterercuryMeurcuryVeneurcuryutous', 'Plut'], ['UUranus', 'Vensus'], ['JJupiteruMercuryJupipiter', 'JJupiterupiter'], ['VenuJupMercuryiutJupiterers', 'MeVenJJupiterusrcMercuryJupiurNeptuney'], ['utSatuurno', 'utSatuurno'], ['Jupi', 'PtUranusluto'], ['Jupiter', 'Vs'], ['utoo', 'NppepteunVeneus'], ['JuVeMeurcurynuespi', 'UrasnUus'], ['PlMeuyrccuryPu', 'Pluo'], ['Mercury', 'MeVenuotoPlPutusrcury'], ['uuto', 'uotoPlPut'], ['PlMeuycPUranucury', 'PlMeuycPUranucuryu'], ['utSatunurno', 'Pluo'], ['uuto', 'MercSaturnury'], ['MercSatucrnury', 'MercSaturnury'], ['JJupiteruMercuryJupipiter', 'JJupiteruMercuryJupipiter'], ['JJupiteruJMercuryJupipiter', 'JJupiteruMercuryJupipiter'], ['s', 'JuJupiterpiter'], ['Venuus', 'Venuus'], ['MeVenusrcurNeptuney', 'MeVenusrcurNeptuMeVenuotoPlPutusrcuryney'], ['Venuees', 'MeMMercMury'], ['uotoPlut', 'Satuurn'], ['Neptune', 'NNeptune'], ['PUranuUPUranuJiteruryMarMsranus', 'PUranu'], ['Venus', 'rMery'], ['Jupitreer', 'Jupitrer'], ['rMerSaturnry', 'NpepteunVeneus'], ['JuVeMeurcurynuespiVenuus', 'utSatunurno'], ['PMeurcuurytUrano', 'PMeurcuurytUranursluto'], ['s', 'PUrJJupiterupiteranu'], ['eVenues', 'MercuMeVenusrcurNeptuneyry'], ['MeVenusrncury', 'MeVenusrcury'], ['JupJiter', 'JupJiterMeVenusrcury'], ['Plutoo', 'Earth'], ['pNeptne', 'Mercury'], ['uotoPlut', 'Vensus'], ['VeMJSatuurniterercuryPUranuslMeurcuryutoMeurcurynues', 'lut'], ['ss', 'Jupi'], ['uuto', 'uuto'], ['PUMJSatuurniterernuuslMeurcuryutoranu', 'PUMJSatuurniterercuryPUranuuslMeurcuryutoranu'], ['rMetuneturnry', 'rMerSaNeptuneturnry'], ['MercuMeVenusrccurNeptuneyry', 'MercuMeVenusrcurNeptuneyry'], ['Maas', 'VVeneu'], ['MarMs', 'Mars'], ['MMeurcuryVensusPlMeuycPUranucuryu', 'PlMeuyrccuryPu'], ['Veneu', 'JiterVenuus'], ['MeVenuotoPloPutusrcury', 'MeVenuotoPlPutusrcury'], ['Mercury', 'MyJiterercury'], ['MeVenusrcury', 'MMercury'], ['oPlu', 'uto'], ['NppepteMMercuryunVeneus', 'NppepteunVeneus'], ['PUMJSatuurniterernuuslMeurcuryutoranu', 'PUMJSatuurnuryPUranuuslMeurcuryutoranu'], ['PUrJ', 'ss'], ['PUranusluto', 'MeVenusrcury'], ['MercuMeVenusrcurNeptuneyry', 'JupeiMerry'], ['VeJMJSatuurniterercuryMeurcuryVeneurcuryutous', 'VeJMJSatuurniterercuryMeurcuryVeneurcuryutous'], ['VeMeurcurynues', 'Pllut'], ['Mury', 'JJupiteruMercuryJupipiter'], ['Uranus', 'M'], ['Merry', 'PUranJMJSatuurniterercuryPUranuslMeurcuryrutousluto'], ['Mury', 'JMJSatuurniterercuryPUranuslMeurcuryuto'], ['Meuyrccury', 'eurccury'], ['VeMeurcusrynues', 'VeMeurcurynues'], ['rMerry', 'PlutMury'], ['Plutoo', 'Pluto'], ['MJiterercury', 'MJiterercury'], ['PluPto', 'Pluto'], ['JJupiteriuJMercuryJupipiter', 'JJupiteriuJMercuryJupipiter'], ['MuPlutoory', 'JMJSatuurniterercuryPUranuslMeurcuryuto'], ['VeMeurcEarthurynues', 'MMerMMercurceury'], ['PUrJJupitrupiteranu', 'VenPUrVeneuJJupiterupiteranuotoPlutuus'], ['JiterVenus', 'Venues'], ['VenuPluts', 'Saturn'], ['Pllut', 'Earth'], ['Mury', 'Jiter'], ['UPUranuJiteruryMarMsranMus', 'UPUranuJiteruryMarMsranMus'], ['MeVVenusrcury', 'MeVenusrcury'], ['utSatJiterunurno', 'MercuMeVenusrcurNeptuneyry'], ['Meuyrccury', 'MeVenusrcurNeptuneyMercury'], ['s', 'PUrJJupitePUrVeneuJJupiterupiteranuotoPJluturupiteranu'], ['PlMeuycPUranucury', 'PMeurcuurytUranursluto'], ['Neptuune', 'Neptuune'], ['PUranuslMeurcuerryutoJupiter', 'PUranuslMeurcuerryutoJupiter'], ['VenPUrVMerryeneuJJupiterupiteranuotoPlutuus', 'VenPUrVMerryeneuJJupiterupiteranuotoPlutuus'], ['JupiMerrry', 'JupiMerry'], ['PUrVeneuJJupiterupiteranuotoPlutu', 'uuto'], ['Mury', 'JJupiteruMerer'], ['PUranusluto', 'JupitJupiJupiutJupitererterer'], ['JupitePlutor', 'JupitePlutor'], ['Neptune', ''], ['eVenues', 'Jiter'], ['rMetuneturnry', 'PUrPlutoanu'], ['JuVeMMeVenusrcurNeptuneyeu', 'MMercury'], ['UPUranrMsranMus', 'UPUranuJiteruryMarMsranMus'], ['MeurcuryMVensus', 'MeuurcuryMVensus'], ['PUMJSatuurnuryPUranuuslMeurcuryutoranu', 'lut'], ['PUranuslMeurcurryuto', 'PUVeMJSatuurniterercuryPUranuslMeurcuryutoMeurcurynuesranuJiterury'], ['Mrry', 'Mry'], ['MeVenusrcury', 'MeVenusrcury'], ['pNeptpne', 'MMercur'], ['MeVenusrcurNeptuney', 'MeVeneVenuesuotoPlPutusrcury'], ['PUranuslMeurcuerryutoJupiter', 'PUranuslMeurcuerryutoJJJupiteruMererer'], ['PtUranurNppeepteunVeneusto', 'PtUranursluto'], ['JupitEarrthJupiterer', 'Jupupiterer'], ['VenuPlJuVeMeMJSatuurniterercuryPUranuslMeurcuryutourcurynuespiuts', 'VenuPlJuVeMeurcurynuespiuts'], ['VenuJupJupiterers', 'VenuJupMercuryiutJupiterers'], ['PlMeuyrcPUranucuryulut', 'lut'], ['J', 'J'], ['uPUranuslMeurcurryutouto', 'uotoPlPut'], ['SaturUPUranuJPUrannuiteruryMarMsranusn', 'Venus'], ['UUranMuPlutooryus', 'Vensus'], ['PUrJJupitrupiteranu', 'PUrJJupitrupiteranu'], ['JMJSaVenuJupJupitererstuurnieurPUrannucuryuto', 'JMJSatuurnieurPUrannucuryuto'], ['MeurcuryMVensus', 'Veneu'], ['rMury', 'JJupiteruMercuryJupipiter'], ['utSatuuPUranuslMeurcuerryutoJJJupiteruMerererrno', 'utSatuurno'], ['Jiteir', 'Jiter'], ['JupJtiteer', 'JupJiter'], ['MercuMeVenusrurNeputuneyry', 'MercuMeVenusrcurNeptuneyry'], ['Jupitreer', 'VeJMJSatuurniterercuryMeurcuryVeneurcuryutous'], ['MMerMMercurcury', 'VeMeurcEartluthurynues'], ['JJJiteirupiteruJMercuryPUranuJupipiter', 'JJJiteirupiteruJMercuryJupipiter'], ['JMJSaVenuJupJupitererstuurnieurPUrannucuryuto', 'Plutoo'], ['PiUranuJiterury', 'PUranuJiterury'], ['rMerry', 'PlutMurrMerSaNeptuneturnry'], ['VePUranuJiterurysus', 'Vensus'], ['MeurcuryMVensus', 'MeurcuryMVensus'], ['JiterVenus', 'JJupiteruMercuryJupipiter'], ['MercuMeVenusruruNeptuneyry', 'MercuMeVenusrurNeptuneyry'], ['VenNppepteunVeneussus', 'Vensus'], ['Venues', 'Jupi'], ['eurccury', 'euUUranMuPlutooryusrccury'], ['JuVeMeurcurynuespi', 'JuVeMeurcurynuespi'], ['Jiter', 'MMerMMercurcury'], ['PlMeuyrcPUranucuryulut', 'Pluto'], ['JMJSaVenuJupJupitererstuurnieurPUrannucuryuto', 'JMJSatuurniterercuryMeurcuryVensusPUranuslMeurcuryuto'], ['Jupitrer', 'Venuees'], ['Veneu', 'Meurcuury'], ['MMercur', 'Mercur'], ['MercuMeVenusrcurNeptuneyry', 'Venuees'], ['VeMeeurMerryrcusrynues', 'VVensuseMeurcurynues'], ['MercuMeptuneyry', 'Venuees'], ['rMerSaturnry', 'rMerSaturnry'], ['utSatJiterunurno', 'utSatJiterunurno'], ['utSatuurno', 'uutSatuurno'], ['JupJiterMeVJupitreerenusrcury', 'JupJiterMeVenuotoPlPutusrcuryMeVenusrcury'], ['VVeneu', 'Jiupiter'], ['MMerceury', 'MMercury'], ['Uranus', 'JupJiter'], ['JitPUMJSatuurniterercuryPUranuuslMeurcuryutoranur', 'Jiter'], ['JitPUMJSatuurnitNeptuneerercuryPUranuuslMeurcuryutoranur', 'Jiter'], ['JuPtUranurrsluatoi', 'JuPtUranursluatoi'], ['JupJupiteriMrer', 'JupJupiteriter'], ['PJMJSatuurniterercuryMeurcuryVensusPUranuslMeurcuryutoUranu', 'MercuryJupi'], ['JMJSatrannucuryuto', 'JMJSatuurnieurPUrannucuryuto'], ['SaturUPUranuJPUrannuiteruryMarMsranusn', 'MercSaturnury'], ['PUranruslMeurPlMeuyrccuryur', 'PUranruslMeurcuerryutoJJJupiteruMererer'], ['UPUranuJiteruryMaruMsranus', 'UPUranuJiteruryMarMsranus'], ['Venuus', 'Pluto'], ['MMury', 'MMury'], ['MeVenusrcury', 'MeVenusrncury'], ['VVeneu', 'utSatMaruurno'], ['Meurcury', 'P'], ['PiUranuJiterury', 'JJupiteruMercuryJupipiter'], ['Neptune', 'NNepteune'], ['MeVenuotoPloPutusrcury', 'MeVenusJupiutJupitererrcury'], ['Maas', 'MeVenJJupiterusrcMercuryJupiurNeptuney'], ['MMerMMercuy', 'MMerMMercurcury'], ['MMerMMercuy', 'MMerMMercuy'], ['PUrJJupiJitPUranuslMeurcuryutoJerterupiteranu', 'VVeneu'], ['JJupiMJSatuurniterercuryPUranuslMeurcuryutoer', 'Plut'], ['rMerry', 'PUranuslMeurcuerryutoJupiter'], ['JutSatuuPUranuslMeurcrMuryuerryutoJJJupiteruMerererrnoupi', 'Jupiter'], ['JupitEarrthJupitererVeneNpepteunVeneusu', 'Veneu'], ['PUMJSatuurnuryPUranuuslMeurcuryutoranu', 'Jupiter'], ['MeVenusrcurNeptuneyMercury', 'MeVenusrcurNeptuneyMercury'], ['MaEarrthrMs', 'VenuJupJupiterers'], ['Satuurn', 'Saturun'], ['Uranus', 'JJJiteirupiteruJMercuryPUranuJupipiter'], ['SatPUranusVenuJupMercuryiutJupitereorsJMJSatuurniterercurPUranuslMeurcuryutolutourn', 'SatPUranusVenuJupMercuryiutJupitereorsJMJSatuurniterercurPUranuslMeurcuryutolutourn'], ['PUranruslMeurPlMeuyrccuryur', 'PUranruslMeurPlMeuyrccuryur'], ['SatPUranusVenuJupMercuryiutJupitereorsJMJSatuurniterercurPUranuslMeurcuryutolutourn', 'MeVenuotoPlPutusrcury'], ['MrerMcuryJitPUMJSatuurniterercuryPUranuuslMeurcuryutoranur', 'JitPUMJSatuurniterercuryPUranuuslMeurcuryutoranur'], ['VePUranuJiterurysus', 'VePUranuJiteruryrMeryus'], ['PlMeuyrcPUranucuryu', 'PlMeuyrcPUranucuryu'], ['Neptune', 'PtUranursluto'], ['Plutoo', 'oPlutoo'], ['JJupiteruMercuuryJupipiter', 'JJupiteruMercuryJupipiter'], ['Satuurn', 'SatPrun'], ['uuuto', 'uuto'], ['SatPrun', 'MeuurcuryMVensus'], ['PUVeMJSatuurniterercuryPUranuslMeurcuryutoMeurcurynuesranuJiterury', 'PUVeMJSatuurniterercuryPUranuslMeurcuryutoMeurcurynuesranuJiterury'], ['VeJMJSatuurniterercuryMeurcuryVeneurcuryutous', 'Mars'], ['VeMJSatuurniterercuryPUranuslMeurcuryutoMeurcurynues', 'JuVeMeurcurynruespi'], ['Jiitier', 'JitPUMJSatuurniterercuryPUranuuslMeurcuryutoranur'], ['Saturn', 'PtUranusluto'], ['uto', 'JupitJupitVenPUrVeneuJJupiterupiteranuotoPlutuuserer'], ['JupJupiteriter', 'MyJiterercury'], ['VenuPluts', 'Jitupiter'], ['PUranu', 'Mercury'], ['PtUranurNppeepteunVeneusto', 'PtUranurNppeepteunVeneusto'], ['JupitEarrthJupitererVeneNpepteunVeneusu', 'JupitEarrthJupitererVeneNpepteunVeneusu'], ['utoPJuPtUranurrsluratoilut', 'utoPJuPtUranurrsluatoilut'], ['PUrJJJupitEarrthJupitererVeneNpepteunVeneusuupitrupiteranu', 'PUrJJupitrupiteranu'], ['Plut', 'MyJiterercury'], ['MJSatuurniterercuryPUranuslMeurcuryuPlutto', 'MJSatuurniterercuryPUranuslMeurcuryuto'], ['Jiter', 'VenuJupJupiterersluto'], ['oPlutoo', 'MeVenusrcurNeptuney'], ['pJupiJupJiterMeVJupitreerenusrcury', 'Jupiter'], ['JupiMerry', 'VeJMJSatuurniterercuryMeurcuryVeneurcuryutous'], ['MMMercury', 'MMercury'], ['NNepteune', 'NNepteune'], ['JuVeMMeVenusrcurNeptuneyeu', 'PlMeuyrccuryPu'], ['MercuryJupi', 'MercuryJupi'], ['UPUranuJiteruryMarMsranus', 'rMerSaturnryJupitEarrthJupiterer'], ['MarMMs', 'MarMs'], ['Jite', 'MMerMMerrcuy'], ['PUranruslMeurPlMeuyrccuryurM', 'Meuyrccury'], ['MeMMercMury', 'Veneus'], ['SatPUranusVeanuJupMercuryiutJupiterersJMJSatuurniterercuryPUranuslMeurcuryutolutourn', 'SatPUranusVenuJupMercuryiutJupiterersJMJSatuurniterercuryPUranuslMeurcuryutolutourn'], ['VeJMJSatuurniterercuryMeurcuryVeneurcuryutous', 'VeJMJSatuurnryVeneurcuryutous'], ['JupJtiteer', 'JupJter'], ['PUranu', 'VeJMJSatuurnryVeneurcuryutous'], ['PUranruslMeurcuerryutoJJJupiteruMererer', 'PUranruslMeurcuerryutoJJJupiteruMererer'], ['PUranusluto', 'JupitJitererterer'], ['JupJiterMeVenusrcury', 'Jiter'], ['VeMeurcusrynues', 'Pluto'], ['PUranruslMeurPlMeuyrccuryurM', 'Mrry'], ['pNeptne', 'PllutJiter'], ['eJiter', 'eJiter'], ['MeuurcuryMeVensusury', 'MMerMMercuy'], ['PUranussluto', 'Mars'], ['MeMMerMMercurceuryurcuMry', 'Meurucuury'], ['JMJSatuurniterercuryPUranuslMeurcuryuto', 'oPlu'], ['utSatunuorno', 'Pluo'], ['PlMeuyrcPUranucuryu', 'PlMeuyrcPUranucuJitPUranuslMeurcuryutoJerryu'], ['uotoPluMeVenuotoPloPutusrcuryt', 'uotoPlut'], ['NppepteMMercuryunVeneus', 'MeVenusrcurNeptuney'], ['JitVenueser', 'Jiter'], ['Jiter', 'JitPiUranuJiteruryr'], ['JuVeMeurcurynuespi', 'PUranruslMeurPlMeuyrccuryur'], ['JupJupiteriter', 'uuto'], ['Venues', 'rMurSatPUranusVeanuJMMury'], ['MMerMMercurcurPy', 'VeMeurcEartluthurynues'], ['MercuMeVenusrurNeputuneyry', 'MercuMeVenusrurNeputuneyry'], ['PUranusslutto', 'NNeptune'], ['JMJSatuurniterercuryPUranuslMeurcuryuto', 'JMJeurcuryutoUPUranuJiteruryMarMsranus'], ['PtUranurNppeepteunVeeneusto', 'PtUranurNppeepteunVeneusto'], ['JupitJitererterer', ''], ['s', 'Plutoo'], ['JiterVenuus', 'Jiter'], ['UrasnUus', 'arrMurSatPUranusVeanuJMMury'], ['PlMeryu', 'Pluto'], ['uotoPlut', 'Satuuurn'], ['Jiteir', 'JiMuPlutooryter'], ['uotoPlPut', 'utPJitPUranuslMeurcuryutoJerlut'], ['PUrJJupitrupiteranu', 'MuPlutoory'], ['', 'uto'], ['Mars', 'NeptunePUranuslMeurMMercuryryuto'], ['Jupitrer', 'Veenuees'], ['MMerMMerrcuy', 'Pluo'], ['MMeurucuryVensusPlMeuycPUranucuryu', 'PlMeuyrccuryPu'], ['uotoPlPut', 'Venus'], ['MMercury', 'MMercur'], ['Veunus', 'MeVenusrcurNeptuneyMercury'], ['PUMJSatuurniterercuryPUranuuslMerMerSaturnryJupitEarrthJupitererurcuryutoranu', 'PUMJSatuurniterercuryPUranuuslMerMerSaturnryJupitEarrthJupitererurcuryutoranu'], ['VeJMJSatuurniterercuryMeurcuryPlMeuyrcPUranucuryulutVeneurcuryutous', 'Marslut'], ['anus', 'Uranus'], ['eVenues', 'MercuMeVenusrcurNeptuJitupiterry'], ['NppeepnteunVeneus', 'NppepteunVeneus'], ['s', ''], ['Jiupiter', 'VVeneu'], ['MeVenuotoPloPutMMerMMercurceuryusrcury', 'MeVenuotoPloPutusrcury'], ['JupJiter', 'Jupiter'], ['Plutlu', 'Plutlut'], ['NeptunePUranuslMeurMMercu', 'NeptunePUranuslMeurMMercuryryuto'], ['Venues', 'Saturn'], ['MeuurcuryMVensus', 'MeVenusrcurNeptuneyMercury'], ['VerJMJSatuurniterercuryMeurcuryPlMeuyrcPUranucuryulutVeneurcuryutous', 'Venus'], ['VePUranuJiterurysus', 'VePUranuJiteruruuutoyrMeryus'], ['PUranruslMeurPlMeuyrccuryurM', 'MJSatuurniterercuryPUranuslMeurcuryuto'], ['JupiMerry', 'PUVeMJSatuurniterercuryPUranuslMeurcuryutoMeurcurynuesranuJiterury'], ['Maas', 'MeVenJJupiterey'], ['Pl', 'JJupiter'], ['MercuMeVenusrurNeptuneyry', 'Plut'], ['MMerMMerccuy', 'MMerMMercuy'], ['Mar', 'VeMeurcEarthurynJitPUMJSatuurniterercuryPUranuuslMeurcuryutoranurues'], ['Jitupitter', 'Jitupiter'], ['MeVenuotoPlPutusrcury', 'MeVenuotoPlPutusrcury'], ['MMerMMerrcuy', 'oPlVVensuseMeurcurynuesutoo'], ['UUrarnus', 's'], ['ss', ''], ['MMercur', 'Mercr'], ['Jiupiter', 'PUranruslMeurcuerryutoJJJupiteruMerererJiterury'], ['Mars', 'rMury'], ['VenuPlJuVeMeMJSatuurniterercuryPUranuslMeurcuryutourcurynuespiuts', 'VenuPlJuVeMeMJSatuurniterercuryPUranuslMeurcuryutourcurynuespiuts'], ['MeVenusrcurNeptunJJupiteruMercuryJupipiterey', 'MeVenusrcurNeptuney'], ['NNePUranJMJSatuurniterercuryPUranuslMeurcuryrutouslutopteune', 'NNepteune'], ['PlMeuyrcPUranNNepteuneucuryu', 'PJupitJupiJupiutJupiterertererlMeuyrcPUranucuJitPUranuslMeurcuryutoJerryu'], ['MMerMMercurcurPy', 'PtUranurNppeeptenunVeneusto'], ['Pluto', 'Plouto'], ['SatPUuranusVenuJupMercuryiutJupitereorsJMJSatuurniterercurPUranuslMeurcuryutolutourn', 'SatPUranusVenuJupMercuryiutJupitereorsJMJSatuurniterercurPUranuslMeurcuryutolutourn'], ['Venuuus', 'Veenuus'], ['JupJiterMeVJupitreerenusrcury', 'JupJiPlMeuyrccuryuenuotoPlPutusrcuryMeVenusrcury'], ['Venus', 'JuPtUranursluatoi'], ['JJupiteruJMercuryJupipiter', 'PlMeuyrcPUranNNepteuneucuryu'], ['UUranustupitter', 'Jitupitter'], ['VeJMJSatuurniterercuryMeurcuryVeneurcuryutous', 'MercuryJupi'], ['JVenuuusupiter', 'Veneus'], ['MercuMeVenusrurNeptuneyry', 'Jitup'], ['rMetuneturnry', 'Saturun'], ['JJupiter', 'pNeptne'], ['Venuuus', 'MeurcuryMVensus'], ['PlMeuyMMerMMerrcuyrccuryPu', 'PlMeuyrccuryPu'], ['VenuPlJuVeMeurcurynuespiuts', 'VeMeurcEarthurynJitPUMJSatuurniterercuryPUranuuslMeurcuryutoranurues'], ['Uranuus', 'Uranus'], ['NNePUranJMJSatuurniterercuryPUranuslMeurcuryrutouslutopteune', 'JupitJupiJupiutJupiterertetrer'], ['', ''], ['Mercury', ''], ['', 'Saturn'], ['S', 'MSaturnercury'], ['Venus', 'Uranus'], ['Jupirter', 'Pluto'], ['Saturn', 'MaNeptune'], ['MSaturnercury', 'Venus'], ['Neptu', 'Neptu'], ['SaturEarthn', 'MaNeptune'], ['MaNeptune', 'Neptune'], ['Neptu', 'Mercury'], ['MSaturnercury', 'Vs'], ['cMercry', 'Mercry'], ['Neptu', 'Earth'], ['Jupiter', 'Veunus'], ['Jupiter', 'Vnus'], ['MarsMSaturneMercuryrcury', 'MarsMSaturneMercuryrcury'], ['uVnus', 'Jupiter'], ['MarsMSaturneMercuryrcurypiter', 'VenuscMercry'], ['Neptu', 'Pluto'], ['MVenuscMercryarsMSaturneMercuryrcury', 'MarsMSaturneMercuryrcury'], ['Jupiter', 'MSaturnercury'], ['eJupirter', 'Pluto'], ['SaturEarthhtn', 'VeunMVenuscMercryarsMSaturneMercuryrcuryus'], ['MarsMSaturneMercuryrcurypiter', 'MSaturnercury'], ['Venus', 'Ms'], ['SaturEarthhtn', 'SaturEarthn'], ['MSaturnercury', 'Neptu'], ['Jupiter', 'MSatuy'], ['MaNeptune', 'SaturEarthn'], ['Jupirter', 'Jupiter'], ['Mercrry', 'Mercry'], ['Vnuss', 'Vs'], ['Jupiter', 'MaNeptune'], ['Vnuss', 'MSatuy'], ['MSMaturnercury', 'MSaturnercury'], ['MVenusMercurycMercryarsMSaturneMercuryrcury', 'Neptu'], ['JupiUranuster', 'MSaturnercury'], ['MSaturnercury', 'Vnuss'], ['MarsMSaturneMercuryrcurypiter', 'MarsMSaturneMercuryrcurypiter'], ['Neptu', 'Vnus'], ['Jupirt', 'JuMercurypiter'], ['SaturEarthhtn', 'Mercrry'], ['Jupirter', 'Neptune'], ['Jupiter', 'JuepiMSatuyter'], ['MaNeptuMVenuscMercryarsMSaturneMercuryrcuryune', 'MaNeptuune'], ['MSaturnercury', 'MSMaturnercury'], ['uVnMSaturnercury', 'MarsMSaturneMercuryrcury'], ['Pluto', 'Neptune'], ['Pluto', 'Neptu'], ['MSaturnercurMarsy', 'Vs'], ['Vnuss', 'Vnuss'], ['VenusUranuscMercry', 'VenusUranuscMercry'], ['SatuMercuryrEarthhtn', 'SatuMercuryrEarthhtn'], ['Ms', 'Mercury'], ['Jupiter', 'NeptuneVnus'], ['eJupirter', 'MarsMSaturneMercuryrcurypiter'], ['MSaturnercury', 'MSaturnercury'], ['MaNeptune', 'MSaturnercury'], ['MaNeptVeunMVenuscMercryarsMSaturneMercuryrcuryusune', 'MSaturnercury'], ['Jupitter', 'Jupitter'], ['MarsMSaturrneMercuryrcurypiter', 'MarsMSaturneMercuryrcurypiter'], ['Ea', 'Earth'], ['Vs', 'Vs'], ['JuMerJuMercurypitercurypiter', 'JuMercurypiter'], ['VsSatuMercuryrEarthhtn', 'Vs'], ['Ms', 'MarsMSaturneMercuryrcury'], ['MSaturnercury', 'MEarthSaturnercury'], ['upiUranuster', 'MSaturnercuryVenusUranuscMercry'], ['VenuscMercry', 'MarsMSaturneMercuryrcurypiteMaNeptuuner'], ['uss', 'MarsMSaturrneMercuryrcurypiter'], ['Mss', 'MarsMSaturneuMercuryrcury'], ['Pluto', 'Mercury'], ['uVnMSaturnercuVenusry', 'uVnyMSaturnercury'], ['SaturEarthhtn', 'Jupiter'], ['NeptuneVnus', 'MarsMSaturneMercuryrcury'], ['Neptu', 'Neptuu'], ['uss', 'ss'], ['Mercrry', 'Mercrry'], ['JuMercurypiter', 'Mercrry'], ['JuJuepiMSatuyterpirter', 'JuJuepiMSatuyterpirter'], ['uVnMSaturnercuVenusry', 'Mercury'], ['MaNeptune', 'MSMaturnercury'], ['Mrcrry', 'Mercrry'], ['JuMerJuMercurypitercurypiter', 'Neptu'], ['Mercrry', 'VenuscMercry'], ['MaMarsMSaturneuMercuryrcurys', 'Neptu'], ['MarsMSaturneMercuryrcuryPluto', 'Mercury'], ['MarsMSaturneMercuryrcuryrpiter', 'MarsMSaturneMercuryrcurypiter'], ['sVeunusVnus', 'sVnus'], ['MaNeptVeunMVenuscMercryarsMSaturneMercuryrcuryusune', 'MarsMSaturneMercuryrcurypiter'], ['MarsMSaturneMercuryrcurypiter', 'JuJuepiMSatuyterpirter'], ['uJuMerJuMercurypitercurypiterVnMSaturnercury', 'uVnMSaturnercury'], ['JupirsVnusr', 'JupiVsSatuMercuryrEarthhtnrtuer'], ['PlutEa', 'Jupirt'], ['Jupiter', 'VeunMVenuscMercryarsMSaturneMercuryrcuryus'], ['Neptune', 'Pluto'], ['Ms', 'VeunusMs'], ['Jupiiter', 'MaNeptVeunMVenuscMercryarsMSaturneMercuryrcuryusune'], ['SS', 'MSaturnercury'], ['MSatuy', 'Pluto'], ['JupiVsSatuMercuryrEarthhtnrtuer', 'Mercry'], ['Jeupirter', 'Jupiter'], ['SaturEarthn', 'MVsSatuMercuryrEarthhtnaNeptunUranuse'], ['MaMarsMSaturneuMercuryrcurys', 'Neptune'], ['VenusUranuscMercryMarsMSaturneMercuryrcury', 'VenusUranuscMercryMarsMSaturneMercuryrcury'], ['uVnus', 'MarsMSaturneMercuryrcurypiter'], ['sVnuss', 'Vnuss'], ['VeuNeptuneVnusnus', 'Veunus'], ['VenusUranuscMercryMarsMSaturneMercuryrcury', 'uVnus'], ['SaturEarthn', 'SaturEarthn'], ['Nepttu', 'Neptuu'], ['VsSatuMercuryrEarthhtn', 'MaNepMtune'], ['MarsMSaturneMercuryrcurypiter', 'Neptuu'], ['MSatuy', 'Vs'], ['MSatuy', 'PlutoV'], ['VVenus', 'Mars'], ['uVnryMSaturnercury', 'Mercrry'], ['VsSatuMercuryrEarthhtnJupiter', 'VsSatuMercuryrEarthhhtnJupiter'], ['Jupiitier', 'Jupiter'], ['PtlutE', 'PtlutE'], ['Jupiitier', 'Jupiiter'], ['JupNeptuneVnusirter', 'JupNeptuneVnurter'], ['VenuscMercry', 'VenuscMercry'], ['Neptu', 'MarsMSaturneMercuryrcuryPluto'], ['JuJpiter', 'Jupiter'], ['VVenus', 'Ms'], ['Mercyry', 'Mercry'], ['MSaturnerScury', 'MEarthSaturnercury'], ['SaturEarthn', 'sMVsSatuMercuryrEarthhtnaNeptunUranuseVeunusVnus'], ['Vnuss', 'cMercry'], ['MSaturneVeunMVenuscMercryarsMSaturneMercuryrcuryusrScury', 'MSaturneVeunMVenuscMercryarsMSaturneMercuryrcuryusrScury'], ['Vnsus', 'Jupiter'], ['JupMaNeptVeunMVenuscMercryarsMSaturneMercuryrcuryusuneiter', 'Jupiter'], ['uVnMSaturnercuVenusry', 'JupirsVnusr'], ['Venus', 'sMMars'], ['MaNeptunePlutEa', 'MaNeptune'], ['MarsMSaturneMercuryrScurypitePlutEar', 'JuJuepiMSatuyterpirter'], ['VsSatuMercuryrEanJupiter', 'VsSatuMercuryrEarthhhtnJupiter'], ['Mercyry', 'MSaturneVeunMVenuscMercryarsMSaturneMercuryrcuryusrScury'], ['VeuNeptunMarsMSaturneMercuryrcurypitereVnusnus', 'VeuNeptuneVnusnus'], ['VVenus', 'VVenus'], ['uVnyMSaturnercury', 'MarsMSaturrneMercuryrcurypiter'], ['SaturEarthn', 'uss'], ['VsSatuMercuryrEarrthhtn', 'VsSatuMercuryrEarthhtn'], ['VenusUranuscMercryMarsMSaturneMercuryrcury', 'Vs'], ['VenuscMMarsMSaturneMercuryrcuryercrPlutEa', 'VenuscMMarsMSaturneMercuryrcuryercrPlutEa'], ['uVnryMSaturnercury', 'uVnryMSaturnercury'], ['Mrcrry', 'Mrcrry'], ['Vs', 'uVnuss'], ['MarsMSaturrneMercuryrcurypiter', 'MarsMSaturneMercuryrcuryPluto'], ['SS', 'SS'], ['MarsMtSaturneMercuryrcurypiteMaNeptuuner', 'Neptu'], ['MSaturnercury', 'sMVsSatuMercuryrEarthhtnaNeptunUranuseVeunusVnus'], ['MSaturnercurMarsy', 'MSaturnercurMarsy'], ['Jupiitier', 'Saturn'], ['MercurrMSaturnercuryy', 'MercurMSaturnercuryy'], ['sMVsSatuMercuryrEarthhtnaNeptunUranuseVcMercryeunusVnus', 'sMVsSatuMercuryrEarthhtnaNeptunUranuseVeunusVnus'], ['JupitSaturEarthhtner', 'VensVeunusVnuss'], ['Uranus', 'MarsMSaturneuMercuryrcury'], ['MaNeptune', 'SaturEahn'], ['MSaturnerrcury', 'MSaturnercucry'], ['SaturEarthhtn', 'MarsMSaturrneMercuryrcurypiter'], ['sVnJuMercuirypiteruss', 'sVnJuMercurypiteruss'], ['Neptuu', 'Jupiiter'], ['Uranurs', 'Uranus'], ['VVenus', 'MarsMSaturrneMercuryrcurypiter'], ['JuJuepiMSatuyterpirter', 'MaNeptVeunMVenuscMercryarsMSaturneMercuryrcuryusune'], ['MaNepMtune', 'MSaturnercucry'], ['uVnMSaturnercuVenusry', 'Mercurssy'], ['MSMaturnercury', 'MSMaturnercury'], ['VVs', 'VVenus'], ['VsSatuMercuryrEarrthhtn', 'Vs'], ['VeuNeptunMarsMSaturneMercuryrcurypitereVnusnus', 'MSatuy'], ['SaturEarthn', 'MuSaturnercurMarsy'], ['VenuscMMarsMSaturneMercuryrcuryercrPlutEa', 'cMercry'], ['JuMerJuMercurypitercypiteJupiiterr', 'JuMerJuMercurypitercypiter'], ['VsSatuMercuryrEarthhtn', 'VsSatuMercuryrEarrthhtn'], ['uVnryMSaturnnercury', 'uVnryMSaturnercury'], ['MarsMSaturneMercuryrcurypiter', 'MarsMSaturneMercuryrcuryrpiter'], ['MuSatursy', 'Mercury'], ['sMVsSatuMercuryrEarthhMaNeptuunetnaNeptunUranuseVeunusVnus', 'sMVsSatuMercuryrEarthhtnaNeptunUranuseVeunusVnus'], ['PlutEa', 'MarsMSaturneMercuryrcuryPluto'], ['VVs', 'upiUranuster'], ['Neptu', 'SatuMercuryrEarthhtn'], ['Jupiitter', 'MaNeptVeunMVenuscMercryarsMSaturneMercuryrcuryusune'], ['MarrsMSaturneMercuryrcurJupirtery', 'MarrsMSaturneMercuryrcury'], ['Uranurs', 'MarsMSaturneMercuryrcurypiter'], ['MaMarsMSaturneuMercueryrcurys', 'Vs'], ['pitter', 'rJupiter'], ['Mercurssy', 'Neptu'], ['Mercyry', 'JupiVsSatuMercuryrEarthhtnrtuer'], ['VenusUranuscMercryMarturnnercuryrcury', 'VenusUranuscMercryMarsMSaturneMercuryrcury'], ['MSaturnercury', 'MarsMSaturrneMercuryrcurypiter'], ['uVnryMSaturnercury', 'VsSatuMercuryrEarthhtn'], ['MarrsMSaturneMercuryrcury', 'S'], ['pitter', 'sVnJuMercurypiteruss'], ['Neptune', 'MEarthSaturnercury'], ['SatuMercuryrEarthhtn', 'NJuJpitereptune'], ['JupMaNeptVeunMVenuscMercryarsMSaturneMercuryrcMVenusMercurycMercryarsMSaturneMercuryrcuryuryusuneiter', 'Jupiter'], ['SaturEarthn', 'SaturEarthhtn'], ['Mars', 'Neptu'], ['Venus', 'ars'], ['MVenuscMercryarsMSaturneMercuryrcury', 'sVnJuMercurypiteruss'], ['Mercuryuss', 'Mercury'], ['SaturEarthn', 'SaturEaMSaturnercuryrthn'], ['SaturuaEarthn', 'SaturMSaturnerScuryaEarthn'], ['VVMSaturnerScuryenus', 'MarsMSaturrneMercuryrcurypiter'], ['VenuMarssUranuscMercryMarturnnercuryrcury', 'VenusUranuscMercryMarsMSaturneMercuryrcury'], ['NJuJpitereptJupirsVnusrune', 'NJuJpitereptJupirsVnusrune'], ['Plluto', 'Mercury'], ['MuSaturnercurMarsy', 'MSaturnercury'], ['SaturEarthn', 'rJupiter'], ['nVnuss', 'Vnuss'], ['pitter', 'pitter'], ['Venus', 'MJupirsVnusrs'], ['lPlutEa', 'eJupirter'], ['MarsMSaturneMercuryrcuryrSaturn', 'MarsMSaturneMercuryrcuryrSaturn'], ['Uranus', 'S'], ['VMaNeptunePlutEas', 'VVenus'], ['MSaturnerScury', 'MuSaturnercurMarsy'], ['VsSatuMercuryrEarthhtn', 'VsSatuMercuryrEarthhtn'], ['JuMerJuMercurypitercypiter', 'JuepiMSatuyter'], ['JuMerJuMercurypitercurypiter', 'VsSatuMercuryrEarthhtn'], ['aSatturEarthn', 'aSaturEarthn'], ['MSMaturnercury', 'MarsMSaturrneMercuryrcurypiter'], ['NJuJpitereptJupirsVnusrune', 'SatuMercuryrEarthhtn'], ['MarsMSaturrneMercuryrcurypiter', 'Mercury'], ['PllutVenuscMercry', 'Plluto'], ['sMVsSatuMercuryrEarthhtnaNeptunUranuseVeunusVnus', 'sMVsSatuMercuryrEarthhtnaNeptunUranuseVeunusVnus'], ['MaNeptVeunMVenuscMercryarsMSaturneMercuryrcuryusune', 'JuJuepiMSatuyterpirter'], ['Vnssus', 'Jupiter'], ['Jupirter', 'r'], ['VsSatuMercuryrEarthhhtnJupiter', 'Neptu'], ['PlutEa', 'PlutEa'], ['MarsMSaturneeMercuryrcuryrpSiter', 'MarsMSaturneMercuryrcurypiter'], ['Juipirter', 'uVnus'], ['VenuscMercry', 'Mercrry'], ['uVnryMSaturnercury', 'VsSatuMercuryrEanJupiter'], ['MaNeptune', 'MaNeptune'], ['MSaturnercursy', 'MSaturJupiitaernercurMarsy'], ['JupMaNeptVeunMVenuscMercryarsMSaturneMercuryrcMVenusMercurycMercryarsMSaturneMercuryrcuryuryusuneiter', 'VsSatuMercuryrEarthhhtnJupiter'], ['uss', 'uss'], ['MaNeptVeunMVenuscMercryarsMSaturneMercuryrcuryusune', 'lPlutEa'], ['tu', 'tu'], ['MarsMSaturneMercuryrcurypiter', 'MarsMSaturneMercuryuVnyMSaturnercuryrcurypiter'], ['uVnus', 'VeuNeptunMarsMSaturneMercuryrcurypitereVnusnus'], ['MaMarsMSaturneuMercueryrcurys', 'VMVsSatuMercuryrEarthhtnaNeptunUranuses'], ['uVnMSaturnercury', 'MarsMSaeMercuryrcury'], ['Juipirter', 'MarsMSaturneuMercuryrcury'], ['SaturEarnttn', 'SaturEarnthhtn'], ['MSaturnercury', 'MarsMSaturrneMercuryrcuMSaturnercursyrypiter'], ['MSaturnercury', 'MSatuy'], ['Mercyry', 'JupNeptuneVnurter'], ['MeVMVsSatuMercuryrEarthhtnaNeptunUranusesrcury', 'Mercury'], ['SaturEarJupirtthhtn', 'VeunMVenuscMercryarsMSaturneMercuryrcuryus'], ['Jupiiter', 'Pluto'], ['JupirsVnusr', 'Neptu'], ['Neputune', 'MEarthSaturnercury'], ['MaNeptunJuMerJuMercurypitercypiteJupiiterre', 'SaturEa'], ['VenusUranuscMercryMarsMSaturneMercuryrcury', 'uVunus'], ['MVenusMercurycMercryarsMSaturneMercuryrcury', 'Mercyry'], ['NepMercurrMSaturnercuryyttu', 'Neptuu'], ['Neptuu', 'Neptuu'], ['SaturuaEarthn', 'MSaturnercury'], ['SaturEaMSaturnercuryrthn', 'SaturEaMSaturnercuryrthn'], ['NeptuSatuMercuryrEarthhtn', 'Neptu'], ['Uranurs', 'UranuMercurMSaturnercuryys'], ['uVnryMSaturnercury', 'VhsSatuMercuryrEarthhtn'], ['Pllutlo', 'Mercury'], ['Neptu', 'MuSaturnercurMarsy'], ['Mercuryuss', 'Venus'], ['SaturEarthhcMercrytn', 'SaturEarthhtn'], ['SaturEa', 'MercurMSaturnercuryy'], ['ssVnuss', 'ssVnuss'], ['sMVsSatuMercuryrEarthhMaNeptuunetnaNeptunUranuseVeunusVnus', 'Venus'], ['pitter', 'rpJupiter'], ['Pllluto', 'Mercury'], ['aaSaturEarthn', 'MVenuscMercryarsMSaturneMercuryrcury'], ['JuMcurypiter', 'JuMercurypiter'], ['uVnMSaturnercuVenusry', 'ars'], ['MarsMSaturrneMercuryrcuMSaturnercursyrypiter', 'MarsMSaturrneMerycuryrcuMSaturnercursyrypiter'], ['Neptu', 'VenusUranuscMercryMarturnnercuryrcury'], ['SaturEarthhttn', 'SaturEarthn'], ['SatuMercuryrEarthhtn', 'SatuMercMJupirsVnusrsrthhtn'], ['JupirsVnusr', 'uVnMSaturnercuVenusry'], ['MaNeptunePlutEa', 'MarsMSaturrneMercuryrcurypiter'], ['JupNeptuneVMVenusMercurycMercryarsMSaturneMercuryrcurynusirter', 'JupNeptuneVnusirter'], ['MarsMSaturneMercuryrcurypiteMaNeptuuner', 'Mercury'], ['SaturEarrthhttn', 'SaturEarrthhttn'], ['SatturEarthn', 'MaNeptune'], ['Mercury', 'Neptu'], ['SatuVsrEarthn', 'Jupiitier'], ['MrcrrysVeunusVnus', 'MrcrrysVeunusVnus'], ['MarsMtSaturneMercuryrcurypiteMaNeptuuner', 'yuVnyMSaturnercury'], ['Usranus', 'Jupiter'], ['MarsMSaturneuMercuryrcury', 'MarsMSaturneuMercuryrcury'], ['VsSatuMerrcuryrEarthhtn', 'VsSatuMercuryrEarthhtn'], ['uVnMSaturnercuVenusry', 'Plluto'], ['Jupititer', 'Jupititer'], ['MSatuy', 'yuVnyMSaturnercury'], ['sMMars', 'VVs'], ['uJuMerJuMercurypitercurypiterVnMSaturnMaMarsMSaturneuMercueryrcurysercury', 'uVnMSaurnercury'], ['sVnJuMercuuirypiteruss', 'sVnJuMercurypiteruss'], ['MarsMSaturneMerMcuryrcuryPluto', 'Mercury'], ['MarsMSaturneMerMcauryrcuryPluto', 'Mercury'], ['Neptu', 'Vnssus'], ['sVnJuMercurypiteruss', 'aSaturEarthn'], ['VsSatuMercury', 'VsSatuMercuryrEarthEahtn'], ['SaturEarthhhtn', 'SaturEarthhtn'], ['MarrsMSaturneMercuryrcurJupirter', 'MarrsMSaturneMercuryrcurJupirtery'], ['cMercPllutVenuscMercryy', 'cMercMry'], ['Mercrcrry', 'Merrcrry'], ['cMercry', 'SaturEaMSaturnercuryrthn'], ['PlutVenuscMMarsMSaturneMercuryrcuryercrPlutEao', 'Pluto'], ['VenusUranuscMercryMaMaNeptunJuMerJuMeVnusteJupiiterrercury', 'VenusUranuscMercryMaMaNeptunJuMerJuMeVnusteJupiiterrercury'], ['Neptu', 'JuMcurypiter'], ['SS', 'r'], ['JupirsVnusr', 'uVnMSaturnMaNeptuuneercuVenusry'], ['NVVMSaturnerScuryenuseptu', 'Vnssus'], ['pittper', 'pittper'], ['JupiVsSatuMercuryrEarthhtnrtuer', 'MEarthSaturnercury'], ['PlutEa', 'SaturMSaturnerScuryaEarthn'], ['NVVuMSaturnerScuryenuseptu', 'NVVMSaturnerScuryenuseptu'], ['MuStatuy', 'MSatuy'], ['MSaturnerccury', 'MEarthSaturnercury'], ['cMercPllutVenEarcryy', 'cMercPllutVenuscMercryy'], ['Jupiitier', 'Juppiter'], ['VsSatuMerrcuryrEaarthhtn', 'VsSatuMercuryrEarthhtn'], ['SaturEarrathn', 'Earth'], ['Uranurs', 'MarsMSaturneMerMcuryrcuryPluto'], ['MSaturnerScury', 'NeptMarsMSaturneeMercuryrcuryrpSiteruu'], ['auaSaturEarthn', 'MVenuscMercryarsMSaturneMercuryrcury'], ['sVnJuMercurypiteruss', 'sVnJuMercurypiteruss'], ['MarsMSaturneMpercuryrScurypitePlutEar', 'MaNeptunJuMerJuMercurypitercypiteJupiiterre'], ['Mss', 'MarsMSatMurneuMercuryrcury'], ['MSaturnercucry', 'MSMaturnercury'], ['SatulPlurtEaruaEarthn', 'SaturuaEarthn'], ['MSaturJupiitaernercurMarsy', 'MuSaturnercurMarsy'], ['MarsMSMSaturnercurMarsyaturneMercuryrcuryPluto', 'Mercury'], ['Jupititer', 'JupiUranusterupititer'], ['MercurrMSaturnercuryy', 'Jupiter'], ['VsSatuMerrcuryrEarthhtn', 'uVnMSaturnMaNeptuuneercuVenusry'], ['VsSaSaturEarrathnMerrcuryrEarthhtn', 'uVnMSaturnMaNeptuuneercuVenusry'], ['MarsMSaturneMpercuryrScurypitePrlutEar', 'MaNeptunJuMerJuMercurypitercypiteJupiiterre'], ['SaturEarrathn', 'V'], ['MaNepMtune', 'JuJuepiMSatuyterpirterpitter'], ['VenuscMMarsMSaturneMercuryrcuryercrPlutEa', 'PlutVenuscMMarsMSaturneMercuryrcuryercrPlutEao'], ['VsSatuMerrcuryrEaarthMuSatursyhtn', 'VsSatuMercuryrEarthhtn'], ['MarsMSaturneMVsSatuMercuryrEarthhhtnJupiterercuryrcurypiter', 'MarsMSaturneMercuryrcurypiter'], ['SatuMhercuryrEarthhtn', 'SatuMhercuryrEthhtn'], ['JupiitierSatulPlurtEaruaEarthn', 'Santurn'], ['MJuMcurypiterSaturnercucry', 'MSMaturnercury'], ['JuepiMSatuyter', 'JuepiMSatuyter'], ['MSatuy', 'uVnus'], ['auaSaturEarthn', 'JupiitierSatulPlurtEaruaEarthn'], ['MaNeptVeunMVenusccMercryarsMSaturneMercuryrcuryusune', 'MaNeptVeunMVenusccMercryarsMSaturneMercuryrcuryusune'], ['Jupiter', 'VeunMVenuscMercryarsMSaturyus'], ['JupirsVnusr', 'uVnMSJuMerJuMercurypitercypiteJupiiterraturnMaNeptuuneercuVenusry'], ['MarsMSaturneMercuryrcurypiter', 'MarsMSaturneMercuryrcurypaSaturEarthnitMercrryer'], ['VnssMarrsMSaturneMercuryrcuryus', 'Vnssus'], ['tpitMarsMSaturneMpercuryrScurypitePlutEarter', 'sVnJuMercurypiteruss'], ['MaNeMarsMSMSaturnercurMarsyaturneMercuryrcuryPlutoptune', 'MaNeptunePlutEa'], ['MaaNepMtune', 'sMVsSatuMercuryrEarthhtnaNeptunUranuseVeunusVnus'], ['pittper', 'pitrtper'], ['Nepttu', 'uVunus'], ['NeptuSaEarthhtn', 'NeplPlutEaPlllutou'], ['uVnrySaturEaMSaturnercuryrthncury', 'uVnryMSaturnercury'], ['SaturEarnttn', 'Jupiitier'], ['MarsMSaturneeMercuryrcuryrpSiter', 'MarsMSaturneMercuryrcurSypiter'], ['Ea', 'cMercPllutVenEarcryy'], ['MarsMSMSaturnercurMarsyaturneMercuryrcury', 'MarsMSMSaturnercurMarsyaturneMercuryrcuryPluto'], ['SaturEarthn', 'SaturEaJupiUranusterMSaturnercuryrthn'], ['MuSatursy', 'MarsMSaturneuMercuryrcury'], ['VsSatuMercuryrEarrthhtnJuepiMSatuyter', 'JuepiMSatuyter'], ['MSatuy', 'yuVnyMrSaturnercury'], ['MarsMSaturneMercuryrcurypiteMaNeptuuner', 'MercMury'], ['Jupirter', 'MaNeptuune'], ['Mercyry', 'MaNeptunJuMerJuMercurypitercypiteJupiiterre'], ['VsSatuMercuryrEarthhtn', 'VsSatuMercuryrEarrthhNeputunetn'], ['MarsMSMSaturnercurMarsyaturMarsMSaturneMercuryrcurypiteMaNeptuunerneMercuryrcuryPluto', 'MarsMSMSaturnercurMarsyaturneMercuryrcury'], ['NepMercurrMSaturnercuryyttu', 'rpJupiter'], ['VsSatuMercuryrEarrthhtn', 'MarrsMSaturneMercuryrcury'], ['Jupirter', 'uss'], ['VnssusNeptuu', 'pitterNeptuMSaturneVeunMVenuscMercryarsMSaturneMercuryrcuryusrScuryu'], ['MarsMSaturneMpercuryrScurypitePlutEar', 'VenuMarssUranuscMerccryMarturnnercuryrcury'], ['JupNeptuneVnusirter', 'MarrsMSaturneMercuryrcury'], ['sMVsSatuMercuryrEarthhMaNeptuunMaNeptVeunMVenusccMercryarsMSaturneMercuryrcuryusuneetnaNeptunUranuseVeunusVnus', 'MarsMSaturneMercuryrcurypaSaturEarthnitMercrryer'], ['JuJuepiMSatuyterpirterpitter', 'Jupiter'], ['MarsMSaturrneMercuryrcurypiter', 'VsSatuMercuryrEarthhhtnJupiter'], ['JuMercurypiter', 'JVsSatuMercuryrEarthEahtnuMercurypiter'], ['NeptuSaEarthhtn', 'MarsMSaturneMercuryrcuryPluto'], ['JuepiMSatuyteVenuMarssUranuscMerccryMarturnnercuryrcury', 'JuepiMSatuyter'], ['NVVuMSaturnerScuryenuseptu', 'NVVuMSaturnerScuryenuseptu'], ['uss', 'ssVnJuVeuNeptuneVnusnusMercuuirypiterusss'], ['Jupr', 'NeptuneVnus'], ['Venus', 'NepMercurrMSaturnercuryyttu'], ['McMercrySatuy', 'PlutuVnMSaturnercuryoV']]
results = [('Saturn', 'Uranus'), ('Venus',), ('Venus', 'Earth', 'Mars', 'Jupiter', 'Saturn'), ('Earth', 'Mars', 'Jupiter', 'Saturn', 'Uranus'), (), (), (), ('Venus', 'Earth', 'Mars', 'Jupiter', 'Saturn', 'Uranus'), (), ('Venus', 'Earth', 'Mars', 'Jupiter'), (), (), ('Uranus',), ('Mars', 'Jupiter', 'Saturn', 'Uranus'), ('Saturn',), ('Venus', 'Earth', 'Mars', 'Jupiter', 'Saturn', 'Uranus'), ('Earth',), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), ('Jupiter', 'Saturn', 'Uranus'), ('Venus', 'Earth', 'Mars', 'Jupiter'), ('Earth', 'Mars'), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), ('Earth', 'Mars', 'Jupiter'), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), ('Earth', 'Mars', 'Jupiter', 'Saturn'), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), (), ()]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(bf)
print('___SENTINEL___')
| 1bacf7843e743e0e332f2f407fa81bef |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-4
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-04, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [['Jupiter', 'Neptune'], ['Earth', 'Mercury'], ['Mercury', 'Uranus']]
results = [('Saturn', 'Uranus'), ('Venus',), ('Venus', 'Earth', 'Mars', 'Jupiter', 'Saturn')]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(bf)
print('___SENTINEL___')
| e021b0091b6193dcaa7214e4ffe2e23f |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-6
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-07, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[['aa', 'a', 'aaa']], [['school', 'AI', 'asdf', 'b']], [['d', 'b', 'c', 'a']], [['d', 'dcba', 'abcd', 'a']], [['AI', 'ai', 'au']], [['a', 'b', 'b', 'c', 'c', 'a']], [['aaaa', 'bbbb', 'dd', 'cc']], [['programming', 'python', 'java', 'ruby']], [['apple', 'orange', 'banana', 'grapefruit']], [['abcd', 'efgh', 'ijkl', 'mnop']], [['hello', 'world', 'this', 'is', 'a', 'test']], [['dog', 'cat', 'bird', 'fish', 'lizard']], [['aaaa', 'bb', 'cccc', 'ddd']], [['the', 'quick', 'fox', 'jumps', 'over', 'the', 'lazy', 'dog']], [['python', 'is', 'a', 'popular', 'language']], [['this', 'list', 'has', 'words', 'of', 'different', 'lengths']], [['racecar', 'deified', 'civic', 'level', 'rotor']], [['bb', 'cccc', 'ddd']], [['efgh', 'ijkl', 'mnop']], [['popuolar', 'python', 'is', '', 'popular', 'language']], [['hello', 'world', 'this', 'jumpshello', 'telizardst', 'istest', 'a', 'test']], [['abcdifferentd', 'efgh', 'ijkl', 'mnop']], [['aajavaa', 'fox', 'cccc', 'ddd']], [['programming', 'python', '', 'java', 'ruby']], [['aaaa', 'bb', 'cccc', 'ccccc', 'ddd']], [['popuolar', 'lizardpython', 'is', '', 'popular', 'jumps']], [['popuolar', 'is', '', 'popular', 'language']], [['poupular', 'popuolar', 'lizardpython', 'is', '', 'popular', 'jumps']], [['python', 'is', 'popular', 'language', 'language']], [['aajavaa', 'fox', 'ddd', 'fox']], [['programming', 'python', 'ruby']], [['bb', 'cccc', 'ddd', 'ddd']], [['poupular', 'lizardpython', 'is', '', 'popular']], [['poupular', 'lizardpython', 'is', 'popular']], [['this', 'list', 'halevels', 'words', 'of', 'different', 'lengths']], [['the', 'quick', 'hello', 'fox', 'jumps', 'over', 'the', 'lazy', 'dog']], [['aajavaa', 'appleffoxox', 'ddd', 'fox', 'aajavaa']], [['apple', 'ojumpsnge', 'banana', 'bananna', 'grapefruit']], [['dog', 'cat', 'bird', 'fish', 'lizard', 'fish']], [['popuolar', 'python', 'is', 'hello']], [['hello', 'st', 'world', 'this', 'is', 'a', 'test', 'this']], [['aapple', 'orange', 'banana', 'aapple', 'banana']], [['hello', 'world', 'this', 'jumpshello', 'telizardst', 'hetestllo', 'istest', 'a', 'test', 'a']], [['aaaa', 'bb', 'cccc', 'ccccc', 'cccc', 'ddd']], [['aajaisaa', 'ddd', 'fox']], [['hlizardello', 'hello', 'world', 'this', 'has', 'a', 'test']], [['hello', 'world', 'this', 'thiis', 'jumpshello', 'telizardst', 'istest', 'a', 'test', 'istest']], [['hello', 'world', 'this', 'thiis', 'jumpshello', 'telizardst', 'istest', 'a', 'test']], [['python', 'java', 'ruby']], [['banan', 'orange', 'banana', 'aapple', 'banana']], [['quick', 'fox', 'jumps', 'over', 'the', 'lazy', 'dog']], [['bb', 'a', 'orange', 'ddd', 'ddd']], [['poupular', 'banan', 'orange', 'banana', 'aapple', 'banana']], [['abcd', 'popuolar', 'lizardpython', 'is', '', 'popular', 'jumps']], [['aaaa', 'bb', 'cccc', 'ccccc']], [['lizardplython', 'abcd', 'popuolar', 'lizardpython', 'is', '', 'popular', 'jumps']], [['aajavajumpshelloa', 'appleffoxox', 'ddd', 'fox', 'aajavaa']], [['abcd', 'popuolar', 'lizardpython', 'is', 'bananna', 'popular', 'jumps']], [['efgh', 'ijkl', 'mlizardplythonnop']], [['poupular', 'lizardpython', 'is', '', 'popular', '']], [['hello', 'world', 'this', 'thiis', 'jumpshello', 'telizardst', 'istest', 'a', 'test', 'istest', 'this']], [['poupular', 'popuolar', 'poupuar', 'lizardpython', 'is', '', 'popular', 'jumps']], [['popuolar', 'python', 'is', 'sis', 'hello']], [['aaaa', 'bb', 'cccc', 'ccccc', 'bb']], [['racecar', 'deified', 'civic', 'level', 'rotor', 'racecar']], [['programming', 'python', 'ruby', 'programming']], [['aaaa', 'bb', 'cccc', 'ccccc', 'ddd', 'cccc', 'ddd']], [['popuolar', 'lizardpython', 'is', '', 'popular', 'jumps', 'jumps']], [['poupular', 'appleffoxoxle', 'banan', 'orange', 'banana', 'aapple', 'banana']], [['abcdracecar', 'efgh', 'ijkl', 'abdracecar', 'mnop', 'mnop', 'mnop']], [['poupular', 'popuolar', 'lizardpython', 'is', '', 'popular', 'jumps', 'is']], [['racecar', 'cicvic', 'deified', 'civic', 'level', 'rotor', 'civic']], [['aaaa', 'bb', 'cccc', 'lengths', 'ddd', 'cccc', 'ddd']], [['aajavaa', 'aaajavaa', 'cccc']], [['cccccc', 'aaaa', 'cccc', 'ccccc']], [['hello', 'world', 'this', 'a', 'hello']], [['aaaa', 'bb', 'cccc', 'ccccc', 'ddd', 'cccc', 'ddd', 'bb']], [['aaaa', 'bb', 'cccc', '', 'ccccc', 'ddd']], [['poupular', 'world', 'popuolar', 'lizardpython', 'abcdifferentd', 'is', '', 'popular', 'jumps']], [['the', 'quick', 'hello', 'fox', 'jumps', 'over', 'the', 'lazy', 'dog', 'the']], [['poupular', 'iss', 'lizardpython', 'is', 'popular']], [['abcd', 'popuolar', 'lizardpython', 'is', 'popuar', '', 'popular', 'jumps']], [['banan', 'orange', 'banana', 'aapple', 'aapccccccple', 'banana']], [['python', 'is', 'aa', 'a', 'language', 'aa', 'a']], [['abcdifferentd', 'efgh', 'ijkl', 'mnrubyp']], [['bbb', 'aaaa', 'bb', 'cccc', 'ccccc', 'cccc', 'ddd', 'lizardpython', 'ddd']], [['efgh', 'iijkl', 'ijkl', 'mnop']], [['poupular', 'iss', 'lizardpython', 'poupulworldar', 'is', 'popular']], [['banan', 'banana', 'aapple', 'aapccccccple', 'banana']], [['the', 'quick', 'hello', 'fox', 'jumps', 'over', 'the', 'lazy', 'the', 'fojavax', 'the']], [['this', 'racecarlengths', 'list', 'has', 'words', 'of', 'different', 'lengths', 'has']], [['aaaa', 'cccccc', 'bb', 'cccc', '', 'ccccc', 'ddd']], [['abcdifferentd', 'abcdifferrentd', 'effgh', 'ijkl', 'mnop']], [['cccc', 'appleffoxox', 'aajavaa']], [['popuolar', 'python', 'is', 'sis', 'hello', 'hello']], [['aaaa', 'b', 'cccc', 'ccccc', 'ddd', 'cccc', 'ddd', 'bb']], [['abcdifferentd', 'efgh', 'ijkl', 'mnrubyp', 'efgh']], [['cccccc', 'aaaaa', 'cccc', 'ccccc', 'aaaaa']], [['python', 'is', 'l', 'popular', 'language', 'language']], [['dog', 'cat', 'bird', 'birdorange', 'fish', 'lizard', 'fish']], [['jumlistps', 'popuolar', 'lizardpython', 'is', '', 'popular', 'jumps', 'jumps']], [['racecar', 'deified', 'civic', 'level', 'lizardplython', 'rotor']], [['jumlistps', 'popuolar', 'lizardpython', 'is', '', 'jumps', 'jumps']], [['poupular', 'world', 'popuolar', 'lizardpython', 'abcdifferentd', 'is', '', 'jumps']], [['poupular', 'popuolar', 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results = [['aa'], ['AI', 'asdf', 'school'], [], ['abcd', 'dcba'], ['AI', 'ai', 'au'], [], ['cc', 'dd', 'aaaa', 'bbbb'], ['java', 'ruby', 'python'], ['banana', 'orange', 'grapefruit'], ['abcd', 'efgh', 'ijkl', 'mnop'], ['is', 'test', 'this'], ['bird', 'fish', 'lizard'], ['bb', 'aaaa', 'cccc'], ['lazy', 'over'], ['is', 'python', 'language'], ['of', 'list', 'this'], [], ['bb', 'cccc'], ['efgh', 'ijkl', 'mnop'], ['', 'is', 'python', 'language', 'popuolar'], ['test', 'this', 'istest', 'jumpshello', 'telizardst'], ['efgh', 'ijkl', 'mnop'], ['cccc'], ['', 'java', 'ruby', 'python'], ['bb', 'aaaa', 'cccc'], ['', 'is', 'popuolar', 'lizardpython'], ['', 'is', 'language', 'popuolar'], ['', 'is', 'popuolar', 'poupular', 'lizardpython'], ['is', 'python', 'language', 'language'], [], ['ruby', 'python'], ['bb', 'cccc'], ['', 'is', 'poupular', 'lizardpython'], ['is', 'poupular', 'lizardpython'], ['of', 'list', 'this', 'halevels'], ['lazy', 'over'], [], ['banana', 'grapefruit'], ['bird', 'fish', 'fish', 'lizard'], ['is', 'python', 'popuolar'], ['is', 'st', 'test', 'this', 'this'], ['aapple', 'aapple', 'banana', 'banana', 'orange'], ['test', 'this', 'istest', 'jumpshello', 'telizardst'], ['bb', 'aaaa', 'cccc', 'cccc'], ['aajaisaa'], ['test', 'this'], ['test', 'this', 'istest', 'istest', 'jumpshello', 'telizardst'], ['test', 'this', 'istest', 'jumpshello', 'telizardst'], ['java', 'ruby', 'python'], ['aapple', 'banana', 'banana', 'orange'], ['lazy', 'over'], ['bb', 'orange'], ['aapple', 'banana', 'banana', 'orange', 'poupular'], ['', 'is', 'abcd', 'popuolar', 'lizardpython'], ['bb', 'aaaa', 'cccc'], ['', 'is', 'abcd', 'popuolar', 'lizardpython'], [], ['is', 'abcd', 'popuolar', 'lizardpython'], ['efgh', 'ijkl'], ['', '', 'is', 'poupular', 'lizardpython'], ['test', 'this', 'this', 'istest', 'istest', 'jumpshello', 'telizardst'], ['', 'is', 'popuolar', 'poupular', 'lizardpython'], ['is', 'python', 'popuolar'], ['bb', 'bb', 'aaaa', 'cccc'], [], ['ruby', 'python'], ['bb', 'aaaa', 'cccc', 'cccc'], ['', 'is', 'popuolar', 'lizardpython'], ['aapple', 'banana', 'banana', 'orange', 'poupular'], ['efgh', 'ijkl', 'mnop', 'mnop', 'mnop', 'abdracecar'], ['', 'is', 'is', 'popuolar', 'poupular', 'lizardpython'], ['cicvic'], ['bb', 'aaaa', 'cccc', 'cccc'], ['cccc', 'aaajavaa'], ['aaaa', 'cccc', 'cccccc'], ['this'], ['bb', 'bb', 'aaaa', 'cccc', 'cccc'], ['', 'bb', 'aaaa', 'cccc'], ['', 'is', 'popuolar', 'poupular', 'lizardpython'], ['lazy', 'over'], ['is', 'poupular', 'lizardpython'], ['', 'is', 'abcd', 'popuar', 'popuolar', 'lizardpython'], ['aapple', 'banana', 'banana', 'orange', 'aapccccccple'], ['aa', 'aa', 'is', 'python', 'language'], ['efgh', 'ijkl'], ['bb', 'aaaa', 'cccc', 'cccc', 'lizardpython'], ['efgh', 'ijkl', 'mnop'], ['is', 'poupular', 'lizardpython'], ['aapple', 'banana', 'banana', 'aapccccccple'], ['lazy', 'over'], ['of', 'list', 'this', 'racecarlengths'], ['', 'bb', 'aaaa', 'cccc', 'cccccc'], ['ijkl', 'mnop', 'abcdifferrentd'], ['cccc'], ['is', 'python', 'popuolar'], ['bb', 'aaaa', 'cccc', 'cccc'], ['efgh', 'efgh', 'ijkl'], ['cccc', 'cccccc'], ['is', 'python', 'language', 'language'], ['bird', 'fish', 'fish', 'lizard', 'birdorange'], ['', 'is', 'popuolar', 'lizardpython'], [], ['', 'is', 'popuolar', 'lizardpython'], ['', 'is', 'popuolar', 'poupular', 'lizardpython'], ['', 'is', 'is', 'is', 'popuolar', 'poupular', 'lizardpython'], ['is', 'python', 'language'], ['banana', 'banana', 'orange', 'poupular'], ['bc', 'ghij'], ['hi', 'abcd'], ['bc', 'qr', 'ghij', 'vwxy'], [], ['aa', 'bb'], ['ee', 'yy', 'cccc', 'zzzz', 'rrrrrr'], ['aa', 'bbbb', 'eeeeee'], ['date', 'kiwi', 'banana', 'cherry'], ['ee', 'aaaa', 'dddd', 'ffffff'], ['is', 'Python'], ['aa', 'bb'], ['', 'aa', 'bb', 'bb'], ['abcd'], ['bc', 'ghij'], ['is', 'Python'], ['bc', 'ghij'], ['bc', 'ghij', 'klmnccccco'], ['aa', 'bc', 'ghij', 'klmnccccco'], ['aa', 'bb'], ['abcd', 'aklmncccccobcd'], ['kiwi', 'banana', 'cherry'], ['aaaa', 'Python'], ['aa', 'bc', 'klmnccccco'], ['is', 'Python'], ['bc', 'qr', 'ghij', 'vwxy', 'sssssssklmno'], ['is', 'Python'], ['is'], ['aa', 'bbbb', 'eeeeee'], ['is'], ['is', 'cccc', 'Python'], ['bc', 'ddef', 'gcccchij', 'klmnccccco'], ['ee', 'aaaa', 'dddd', 'ffffff'], ['ee', 'aaaa', 'dddd', 'ghij', 'ffffff'], ['aa', 'bb', 'bbbb'], ['abcd', 'hiee', 'hqri'], ['is', 'sttu', 'Python', 'Programmaaraaing'], ['date', 'kiwi', 'banana', 'cherry'], ['bb', 'ee', 'aaaa', 'dddd', 'ghij', 'ffffff'], ['aa', 'bc', 'bc', 'klmnccccco'], ['is', 'Python'], ['date', 'banana', 'cherry'], ['aa', 'bb'], ['ghij', 'kiwi', 'Python'], ['ghij', 'kiwi', 'kiwi', 'Python'], ['aa', 'bbbb', 'eeeeee'], ['is', 'date', 'Python'], ['', 'is', 'Python'], ['is', 'date', 'Python'], ['ee', 'yy', 'cccc', 'zzzz', 'rrrrrr', 'rrrrrr'], ['is', 'cccc'], ['abcd'], ['aa', 'bb', 'bbbb', 'cccc'], ['ee', 'yy', 'cccc', 'zzzz', 'rrrrrr'], ['ee', 'yy', 'cccc', 'zzzz', 'rrrrrr', 'rrraarrr'], ['ee', 'aaaa', 'dddd', 'ffffff'], ['', 'is'], ['ee', 'yy', 'cccc', 'zzzz', 'rrrrrr'], ['ee', 'yy', 'cccc', 'dddd', 'zzzz', 'rrrrrr'], ['aaaa', 'Python', 'wdorld', 'worlld'], ['ee', 'yy', 'yy', 'cccc', 'zzzz', 'rrrrrr'], ['is', 'Python', 'Programmaaraaing'], ['ee', 'aaaa', 'dddd', 'ffffff'], ['', 'aa', 'bb', 'bb'], ['aa', 'bc', 'klmnccccco'], ['hi', 'abcd'], ['ee', 'Progra', 'Python'], ['bc', 'qr', 'vwxy'], ['bc', 'yy', 'ghij', 'ghij'], ['ee', 'yy', 'cccc', 'cccc', 'dddd', 'zzzz', 'rrrrrr'], ['is', 'Python', 'nklmno', 'woorld'], ['hi', 'abcd'], ['ghij', 'kiwi', 'kiwi', 'Python'], ['ghij', 'kiwi', 'Python'], ['is', 'Python'], ['bb', 'pp', 'qr', 'vwxy'], ['ee', 'yy', 'cccc', 'rrrrrr'], ['aa', 'bc', 'klmnccccco'], ['ee', 'aaaa', 'dddd', 'ghij', 'ffffff'], ['', 'is'], ['yy', 'cccc', 'rrrrrr'], ['bc'], ['kiwi'], ['bc', 'ghij', 'vwxy', 'sssssssklmno'], ['bc', 'klmnccccco'], ['ee', 'yy', 'cccc', 'rrrrrr'], ['date', 'kiwi', 'banana', 'cherry', 'grapre'], ['is', 'sttu', 'Python', 'Programmaaraaing'], ['aa', 'bb'], ['bc', 'bc', 'klmnccccco'], ['bc', 'qr', 'ghij', 'vwxy', 'vwxy'], ['aa', 'bc', 'klmnccccco'], ['ee', 'cccc', 'zzzz', 'rrrrrr'], ['ee', 'prld', 'Progra', 'Python'], ['ee', 'yy', 'cccc', 'dddd', 'zzzz', 'rrrrrr', 'xxxxxx'], ['ee', 'yy', 'cccc', 'zzzz', 'ddddat', 'rrrrrr'], ['is', 'sttu', 'Python', 'Programmaaraaing'], ['ee', 'yy', 'cccc', 'zzzz', 'rrrrrr', 'rrrrrr'], ['is', 'Python', 'rrraarrr'], ['klmnccccco'], ['aa', 'eeeeee'], ['aa', 'bb', 'bbbb'], ['aa', 'cwobcrld', 'klmnccccco'], ['is', 'cccc', 'Python'], ['is', 'Python', 'Prograomming'], ['aa', 'bbbb', 'eeeeee'], ['aa', 'eeeeee'], ['is', 'yy', 'sttu', 'Python', 'Programmaaraaing'], ['cccc', 'zzzz', 'rrrrrr'], [''], ['ghij', 'kiwi', 'kiwi', 'Python'], ['abcd', 'abcd', 'aklmncccccobcd'], ['is', 'Python', 'HeHellollo'], ['klmnccccco'], ['is', 'sttu', 'Python', 'Programmaaraaing'], ['is', 'sttu', 'Python', 'Programmaaraaing'], ['', 'is'], ['is', 'Python', 'Programing'], ['ee', 'ghij', 'vwxy', 'sssssssklmno'], ['hi', 'abcd'], ['is', 'Porogramming'], ['is', 'cccc', 'vwxy', 'wdorld'], ['ee', 'aaaa', 'dddd', 'ffffff'], ['is', 'date', 'Python', 'Python'], ['ee', 'yy', 'cccc', 'rrrrrr'], ['bc', 'ghij', 'mklmno', 'rrrrrr'], ['bc', 'qr', 'ghij', 'vwxy'], ['hiee', 'hqri'], ['ab', 'bb'], ['qr'], ['is', 'date', 'Python', 'rrraarrr'], ['ghij', 'kiwi', 'Python'], ['is', 'date', 'Python', 'Python'], ['aa'], ['bc', 'qr', 'ghij', 'vwxy', 'kolmddddno', 'sssssssklmno'], ['bc', 'ghhj'], ['bc', 'ghij', 'vwxy', 'kolmddddno', 'kolmddddno', 'sssssssklmno'], ['is', 'cwobcrld', 'rrraarrr'], ['kiwi', 'banana', 'cherry', 'lemmon'], ['ee', 'yy', 'cccc', 'zzzz', 'rrrrrr', 'rrraarrr', 'rrraarrr'], ['aa', 'bbbb', 'ddef'], ['ee', 'yy', 'cccc', 'dddd', 'zzzz', 'zzzz', 'zzzz', 'rrrrrr'], ['date', 'banana', 'banana', 'cherry', 'lemonn', 'lemonn'], ['aa', 'aa', 'eeeeee', 'ddbananaefdd'], ['bc', 'qr', 'ghij', 'vwxy', 'kolmddddno', 'sssssssklmno'], ['bc', 'ghij', 'vvwxyhij', 'klmnccccco'], ['yy', 'yy', 'cccc', 'rrrrrr'], ['is'], ['hi', 'abcd', 'kiwi'], ['is', 'Python'], ['aa'], ['is', 'is', 'Python', 'nklmno', 'nklmno', 'woorld'], ['hi', 'abcd', 'jjis'], ['bc', 'bc', 'ddbananaefdd'], ['aa', 'bb'], ['aa', 'aa', 'eeeeee', 'ddbananaefdd'], ['bc', 'bc', 'ddbananaefdd'], ['is', 'is'], ['ee', 'yy', 'cccc', 'cccc', 'dddd', 'rrrrrr'], ['is'], ['bc', 'ghij', 'worlld', 'klmnccccco', 'klmnccccco'], ['aa', 'bb', 'bbbb'], ['is', 'Python', 'Programmaaraaing'], ['bc', 'qr', 'ghij', 'vwxy', 'klmnccccco', 'kolmddddno', 'sssssssklmno'], ['bb', 'ee', 'aaaa', 'aaaa', 'dddd', 'ghij', 'ffffff'], ['ee', 'aaaa', 'dddd', 'ffffff'], ['', 'aa', 'bb'], ['', '', 'aa', 'bb', 'bb'], ['aa', 'bb', 'bbbb'], ['hi', 'abcd'], ['yy', 'ddef', 'gcccchij', 'klmnccccco'], ['yy', 'yy', 'cccc', 'dddgrape'], ['is', 'Python', 'lemonn'], ['date', 'kiwi', 'banana', 'cherry', 'grapre'], ['ee', 'yy', 'cccc', 'dddd', 'zzzz', 'rrrrrr'], ['ee', 'cccc', 'zzzz', 'rrrrrr', 'rrraarrr'], ['ghij', 'kiwi', 'Python'], ['is', 'pp'], ['ee', 'yy', 'cccc', 'zzzz', 'rrrrrr', 'rrrrrr', 'worlld'], ['aa', 'bc', 'sttu', 'klmnccccco'], ['aa', 'bb', 'bbbb', 'hqri'], ['hi', 'abcd'], ['ee', 'yy', 'cccc', 'rrrrrr', 'rrraarrr', 'rrraarrr'], ['is', 'date', 'Python'], ['is', 'Programmigrapeng'], ['ee', 'yy', 'cccc', 'zzzz', 'rrrrrr'], ['hi', 'abcd', 'ddddat'], ['hi', 'abcd', 'mnprld'], ['aa', 'ab', 'bc', 'sttu'], ['df', 'ghij', 'kiwi', 'kiwi', 'Python'], ['ee', 'jjis', 'Progra', 'Python'], ['is', 'is', 'Programmaaraaing'], ['bc', 'qr', 'ghij', 'vwxy', 'kolmddddno', 'sssssssklmno'], ['is'], ['abcd', 'aklmncccccobcd'], ['aa', 'bb', 'bbbb', 'cccc'], ['ee', 'yy', 'cccc', 'rrrrrr', 'yaklmncccccobcdy'], ['bc', 'rrrrrr', 'ddbananaefdd'], ['ee', 'aaaa', 'aaaa', 'dddd', 'ffffff'], ['', '', 'is', 'Python'], ['aa', 'oo', 'klmnccccco'], ['cc', 'ee', 'ee', 'aaaa', 'dddd', 'ffffff'], ['bc', 'qr', 'ghij', 'kolmddddno', 'sssssssklmno'], ['ee', 'ee', 'cccc', 'zzzz', 'rrrrrr', 'rrraarrr'], ['Python'], ['ee', 'yy', 'yy', 'yy', 'cccc', 'zzzz', 'rrrrrr', 'xxxxxx'], ['', 'kklmno'], ['ee', 'yy', 'cccc', 'zzzz', 'rrrrrr', 'rrraarrr', 'rrraarrr'], ['ab', 'bb'], ['aa', 'bb'], ['hi', 'abcd'], ['ee', 'yy', 'cccc', 'rrrrrr', 'rrraarrr', 'rrraarrr'], ['is'], ['bc', 'qr', 'ghij', 'vwxy'], ['hi', 'abcd', 'jkwrorlldl'], ['ee', 'aaaa', 'bbbb', 'dddd', 'ghij', 'ffffff', 'ddyaklmncccccobcdydd'], ['is', 'is', 'sttu', 'Python', 'Programmaaraaing'], ['ee', 'yy', 'cccc', 'zzzz', 'rrrrrr'], ['is', 'klikiwimno'], ['bc', 'bc', 'ghij'], ['ee', 'yy', 'zzzz', 'rrrrrr', 'rrraarrr', 'rrraarrr'], ['aa'], ['is', 'sawesome'], ['abcd', 'aklmncccccobcd'], ['hqri'], ['df', 'ghij', 'kiwi', 'Python'], ['is', 'cccc', 'Pythoonklmno'], ['bb', 'ee', 'aaaa', 'dddd', 'ghij', 'ffffff'], ['ee', 'aaaa', 'bbbb', 'dddd', 'dddd', 'ghij', 'ffffff', 'ddyaklmncccccobcdydd'], ['is', 'cccc', 'vwxy', 'wdorld'], ['yy', 'yy', 'cccc', 'rrrrrr', 'ssssssss'], ['hi', 'abcd', 'abcd', 'ddddat'], ['is', 'Helcccco'], ['aa', 'bbbb', 'eeeeee'], ['ghij'], ['hi', 'abcd'], ['is', 'Python', 'Helighijlo'], ['cwobcrld', 'klmnccccco', 'klmnccccco'], ['ee', 'aaaa', 'dddd', 'cherry', 'ffffff', 'Porogramming', 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'bbbb', 'cccc'], ['bc', 'qr', 'ghij', 'vwxy', 'kolmddddno', 'sssssssklmno'], ['aa', 'bc', 'ghij'], ['eefg', 'effg', 'hqri'], ['is', 'Python', 'jkwrorlldl', 'Prograomming', 'Prolemongrammaaaaing'], ['ee', 'yy', 'cccc', 'zzzz', 'rrrrrr', 'rrraarrr', 'rrraarrr'], ['', '', 'aa', 'bb', 'bb', 'bb'], ['is', 'sttu', 'Python', 'Programmaaraaing'], ['is', 'Heello', 'Proxxxxxgramming'], ['ee', 'yy', 'cccc', 'zzzz', 'rrrrrr', 'rrrrrr', 'worlld'], ['bc', 'bc', 'klmnccccco'], ['', 'is'], ['', '', 'is', 'Python', 'debbcf'], ['klmklikiwimnonccccco'], ['', 'sttu', 'Python', 'Programmaaraaing'], ['', 'is'], ['kiwi', 'banana', 'cherry', 'cherry', 'lemmon'], ['yy', 'yy', 'yy', 'zzzz', 'rrrrrr', 'xxxxxx', 'sawesomeee'], ['aa', 'bc', 'ghij', 'Helllo'], ['bc', 'ghij', 'ghij'], ['kiwi'], ['aaaa', 'dddd', 'ghij', 'ffffff', 'ffffff'], ['Python', 'wxxxxxorld'], ['bb', 'Helcccco'], ['ee', 'yy', 'cccc', 'zzzz', 'mnoddd', 'rrrrrr', 'rrrrrr', 'worlld'], ['ab', 'bb', 'worlld'], ['Python', 'wxxxxxorld'], ['is', 'cccc', 'Python', 'Prgogramming'], ['abcd', 'mworldno', 'aklmncccccobcd'], ['is', 'sttu', 'Python', 'Programmig', 'Programmaaraaing'], ['date'], ['aa', 'bb', 'bbbb', 'cccc'], ['aa', 'bc', 'ghij', 'klmnccccco'], ['bb', 'ee', 'aaaa', 'dddd', 'ghij', 'ffffff'], ['is', 'Python', 'awesme'], ['is', 'is', 'date', 'Python', 'jkklmnoklProgramming'], [], ['aa', 'bbbb', 'eeeeee', 'prldyy'], ['ee', 'aaaa', 'ghij', 'ffffff'], ['hi', 'abcd', 'efgg', 'jkwrorlldl'], ['aa', 'aa', 'eeeeee'], ['bb', 'bc', 'ghij', 'ghij'], ['date', 'ghhj', 'Python', 'datelklmno'], ['is', 'date', 'rrraarrr'], ['bc', 'qr', 'ghij'], ['bc', 'bc', 'cherry', 'kklmno', 'ddbananaefdd'], ['bc', 'sttu', 'klmnccccco'], ['ee', 'aaaa', 'dddd', 'ghij', 'ffffff', 'worlld'], ['', 'aa'], ['ee', 'yy', 'cccc', 'rrrrrr', 'rrrrrr', 'worlld'], ['bc', 'ddbananaefdd'], ['bc', 'qr', 'ghij', 'vwxy', 'sssssssklmno'], ['hi', 'abcd', 'kiwi'], ['aa', 'bb', 'bb'], ['aa', 'bb', 'bbbb', 'bbbb', 'Praogrammaaaaing'], ['bb', 'bbbb', 'cccc'], ['aaaa', 'bbbb', 'dddddd', 'eeeeee'], ['bc', 'ccbc', 'rrrrrr', 'ddbananaefdd'], ['', 'aa', 'rrraarrr'], ['ee', 'yy', 'cccc', 'ssss', 'rrrrrr'], ['', 'is'], ['hi'], ['aa', 'bc', 'Programmigaa'], ['aa', 'bc', 'bc', 'klmnccccco'], ['bc', 'qr', 'vwxy'], ['aa', 'aaaa', 'awoorlda'], ['ee', 'yy', 'cccc', 'cccc', 'dddd', 'zzzz', 'rrrrrr'], ['hqri'], ['Helcccco'], ['is', 'Python', 'worghhjldawesome'], ['ee', 'yy', 'cccc', 'mnoddd', 'rrrrrr', 'rrrrrr', 'worlld'], ['bb', 'Helcccco'], ['ee', 'cccc', 'rrrrrr'], ['bc', 'qr', 'vwxy', 'vwxy', 'worlda'], ['cc', 'ee', 'ee', 'aaaa', 'dddd'], ['abcd', 'Programing'], ['is', 'Heello'], ['Python', 'ffffff', 'Progrefgamming'], ['ee', 'aaaa', 'bbbb', 'dddd', 'ghij', 'ffffff', 'ddyaklmncccccobcdydd'], ['hi'], ['is', 'Python', 'Python', 'lemonn', 'lemonn'], ['bc', 'ghij', 'mklmno', 'mklmno', 'rrrrrr'], ['is', 'is', 'Programmaaraaing'], ['hi', 'abcd', 'abcd', 'ddddat'], ['ee', 'yy', 'yy', 'zzzz', 'ddddat', 'rrraarrr', 'rrraarrr'], ['bc', 'ghij', 'vwxy', 'kolmddddno', 'sssssssklmno', 'sssssssklmno'], ['is', 'is', 'Programmaaraaing'], ['ee', 'cccc', 'rrrrrr', 'rrrrrr', 'worlld'], ['hi', 'prldyyabcd'], ['aa', 'hi', 'abcd', 'jkkl'], ['aaaa'], ['ee', 'aaaa', 'dddd', 'ffffff'], ['ee', 'yy', 'cccc', 'dddd', 'zzzz', 'rrrrrr', 'xxxxxx', 'dddProgramming', 'sssssssssssskslmnoss'], ['bc', 'ghij'], ['bc', 'ghij', 'kolmddddno', 'sssssssklmno'], ['ghij', 'Python'], ['aa', 'oo', 'oo', 'klmnccccco'], ['is', 'Porogramming'], ['bc', 'bc', 'kklmno', 'ddbananaefdd'], ['bc', 'yy', 'ghij', 'ghij'], ['ee', 'yy', 'zzzz', 'ddddat', 'rrraarrr', 'rrraarrr', 'Pythoonklmno', 'rrraardaterr'], ['aa'], ['aa', 'bb', 'bb'], ['', 'ghij', 'vwxy', 'kolmddddno', 'sssssssklmno', 'sssssssklmno', 'sssssssvvwxyhijklmno'], ['aa', 'bb', 'abcd', 'effg'], ['ee', 'yy', 'cccc', 'zzzz', 'rrrrrr', 'rrraarrr', 'rrraarrr', 'ssssssss'], ['is', 'sttu', 'Python', 'Programmaaraaing'], ['abcd', 'efgg'], ['ee', 'yy', 'cccc', 'rrrrrr', 'rrraarrr'], ['aa', 'oo'], ['is', 'sttu', 'Programmig', 'Programmaaraaing'], ['hi'], ['cccc', 'Python'], ['hi', 'abcd'], ['ee', 'aaaa', 'bbbb', 'dddd', 'ghij', 'ffffff', 'ddyaklmncccccobcdydd'], ['bb', 'ee', 'aaaa', 'bbbb', 'dddd', 'ghij', 'ffffff'], ['yy', 'cccc', 'zzzz', 'ddddat', 'rrrrrr'], ['date', 'ghhj', 'Python'], ['bc', 'qr', 'ghij', 'vwxy', 'sssssssklmno'], ['', '', 'aa', 'bb'], ['', 'aa', 'hi', 'abcd', 'mnprld'], ['bc', 'ghij', 'klmnccccco', 'klmnccccco'], ['date', 'banana', 'banana', 'cherry', 'lemonn', 'lemonn', 'ssssssss'], ['aa', 'bb', 'cccc'], ['is', 'yy', 'sttu', 'Python', 'Programmaaraaing'], ['aa', 'bb', 'bb'], ['yy', 'yy', 'cccc', 'klmnoo', 'rrrrrr', 'ssssssss'], ['aaaa', 'wxxxxxorld'], ['ee', 'yy', 'cccc', 'ssss', 'rrrrrr', 'rrraarrr', 'rrraarrr'], ['df', 'ghij', 'kiwi', 'kiwi'], ['bc', 'qr', 'ghij', 'vwxy', 'vwxy'], ['is', 'Programmaaraaing', 'Programmaaraaing'], ['hi', 'abcd'], ['', 'is'], ['aa', 'bc', 'ghij'], ['bb', 'pp', 'vwxy'], ['aa', 'bb'], ['bc', 'ghij', 'ghij'], ['hiee', 'mmno'], ['ee', 'aaaa', 'dddd', 'ffffff'], ['', 'is', 'wodrld'], ['ee', 'cccc', 'dddd', 'zzzz', 'rrrrrr'], ['bc', 'rrrrrr', 'ddbananaefdd'], ['aaaa', 'bbbb', 'dddddd', 'eeeeee'], ['hi', 'hi', 'abcd', 'jkwrorlldl'], ['qr', 'edef'], ['aa', 'aklmncccccobcd'], ['aa', 'aa', 'aklmnccccProgrammaaraaibcd'], ['aa', 'bb', 'bb'], ['bc', 'ghij'], ['kiwi', 'banana', 'cherry', 'cherry'], ['bbbb'], ['ee', 'Progra', 'Python'], ['bb', 'ee', 'aaaa', 'dddd', 'ghij', 'ffffff'], ['is', 'Helcccco', 'Helcccco'], ['', 'is', 'worlld'], ['ee', 'aaaa', 'bbbb', 'dddd', 'ghij', 'ffffff'], ['is', 'sttu', 'Python', 'Programmaaraaing', 'Programmaaraaing'], ['date', 'banana', 'banana', 'cherry', 'lemonn', 'lemonn', 'ssssssss'], ['defg'], [], [], [], [], ['aa'], [], ['cc', 'cc', 'dddd'], ['ab', 'cc', 'cc', 'de'], ['12', '1234'], ['aa', 'bbbb', 'eeee', 'eeeeee'], ['ap', 'date', 'kiwi', 'banana'], ['ghij', 'knlmno'], ['mnno'], ['kiwi', 'banana', 'cherry'], ['ap', 'date', 'kiwi', 'adatep', 'banana', 'datedddd'], ['aa', 'bbbb', 'eeee', 'eeeeee'], ['aa', 'bbbb', 'bbbb', 'eeeeee'], ['bbbb', 'eeee', 'eeeeee'], ['aa', 'bbbb', 'eeee', 'eeddddee'], ['ee', 'yy', 'cccc', 'zzzz', 'rrrrrr'], ['kiwi', 'banana'], ['aa', 'bb'], ['kiwi', 'cherry'], [], [], ['kiwi', 'banana', 'datedddd'], ['bc', 'ghij'], ['ghij', 'knlmno'], ['bbbb', 'rrrr', 'eeeeee', 'rrrrrr'], ['aa', 'bbbb', 'eeee', 'eeeeee'], ['ee', 'yy', 'cccc', 'rrrrrr'], ['is', 'Python'], ['bc', 'ghij', 'kklmno'], ['aa', 'bbbb', 'eeee', 'eeddddee'], ['gh'], ['bbbb', 'rrrr', 'eeeeee', 'rrrrrr'], ['knlmno', 'dateddddknlmno'], ['knlmno', 'dateddddknlmno'], ['ee', 'yy', 'cccc', 'zzzz', 'rrrrrr'], ['aaaa', 'dddd', 'ffffff'], ['kiwi', 'banana', 'cherry', 'cherry'], ['bc', 'qr', 'qr', 'ghij', 'vwxy'], ['ghij', 'knlmno'], ['hghijj', 'knlmno', 'dateddddknlmno'], ['ee', 'yy', 'yy', 'cccc', 'zzzz', 'rrrrrr'], ['ee', 'yy', 'yy', 'cccc', 'date', 'zzzz', 'rrrrrr'], ['abcd'], [], ['abcd', 'abcd'], ['abcd', 'abcd'], ['ghij', 'kklmno', 'kklmno'], ['ee', 'yy', 'zzzz', 'rrrrrr'], ['ee', 'ee', 'dddd', 'ffffff'], ['bc', 'ghij', 'klisimno'], ['deef', 'cccmno'], ['ee', 'yy', 'cccc', 'ydef', 'zzzz', 'rrrrrr'], ['aa', 'bbbb', 'eeee', 'eeeeee'], ['ghij', 'kklmno', 'kklmno', 'kklmno'], ['ee', 'yy', 'cccc', 'zzzz', 'rrrrrr'], ['bc', 'qr', 'ghij', 'vwxy'], ['ee', 'yy', 'zzzz', 'rrrrrr'], ['bc', 'qr', 'qr', 'ghij', 'vwxy'], ['Python'], ['ee', 'yy', 'yy', 'cccc', 'zzzz', 'rrrrrr'], ['date', 'date', 'kiwi', 'banana', 'cherry'], ['bb', 'ee', 'yy', 'cccc', 'zzzz', 'rrrrrr'], ['aa', 'bbbb', 'eeeeee'], ['kiwi', 'banana', 'cherry'], ['ee', 'yy', 'zz', 'cccc', 'zzzz', 'zzzz', 'rrrrrr'], ['aa', 'bbbb', 'eeee', 'eeeeee', 'hghijj'], ['ee', 'yy', 'cccc', 'zzzz', 'rrrrrr'], ['aa', 'bbbb', 'eeee'], ['date', 'date', 'kiwi', 'banana', 'cherry', 'dateddddknlmno'], ['datedddd'], ['aa', 'aaaa', 'bbbb', 'eeee', 'eeddddee'], ['aa', 'bbbb', 'eeee', 'eeeeee'], ['aa', 'bbbb', 'eeee', 'eeeeee', 'dateddddknlmno'], ['aa', 'gh', 'bbbb', 'eeee', 'eeeeee'], ['bbbb', 'aaaaaa', 'eeddddee'], ['kiwi', 'banana', 'cherry', 'cherry'], ['is', 'Python'], ['', 'vwxy', 'datedddd'], ['kiwi', 'cherry'], ['abcd', 'abcd', 'efyystug'], ['aa', 'aa', 'bbbb', 'eeee', 'eeddddee'], ['ap', 'date', 'kiwi', 'adatep', 'banana', 'banana', 'datedddd'], ['abcc'], ['ee', 'yy', 'cccc', 'rrrrrr', 'ssssssss'], [], ['aa', 'bbbb', 'eeee', 'eeeeee'], ['aa', 'bbbb', 'eeee', 'Python', 'eeeeee'], ['aa', 'abcd', 'bbbb', 'eeee', 'eeddddee'], ['aa', 'bc', 'qr', 'ghij', 'vwxy'], ['aa', 'bc', 'qr', 'qr', 'ghij', 'vwxy'], ['ghij', 'datedddd'], ['date', 'date', 'kiwi', 'banana', 'cherry', 'loemon', 'dateddddknlmno'], ['ee', 'yy', 'cccc', 'rrrrrr', 'ssssssss'], ['ghij', 'knlmno'], ['abcd'], ['kiwi', 'banana', 'cherry'], ['aa', 'bbbb', 'eeee'], ['bbbb', 'eeee', 'eeee', 'eeddddee'], ['ee', 'yy', 'yy', 'yy', 'cccc', 'date', 'zzzz', 'rrrrrr'], ['aa', 'bbbb', 'bbbb', 'bbbb', 'eeeeee'], ['aa', 'bbbb', 'cccccc', 'eeeeee', 'ccceeecc'], ['aa', 'bbbb', 'eeabccee', 'eeddddee'], [], ['bb', 'ee', 'yy', 'zz', 'cccc', 'cheyrrya'], ['is', 'is', 'Python'], ['datedddd'], ['date', 'date', 'kiwi', 'banana', 'cherry', 'dateddddknlm'], ['knlmno', 'dateddddknlmno'], ['datedddd'], ['', 'ee', 'yy', 'cccc', 'zzzz', 'rrrrrr'], ['aa', 'aa', 'bbbb', 'eeee', 'eeddddee'], ['aa', 'bb'], ['ee', 'yy', 'cccc', 'date', 'yyyy', 'zzzz', 'rrrrrr'], ['ap', 'date', 'kiwi', 'adatep', 'banana', 'datedddd'], ['kiwi', 'banana'], ['aa', 'eeee', 'eeeeee'], ['date', 'date', 'kiwi', 'banana', 'cherry'], ['ghij'], ['bc'], ['date', 'date', 'kiwi', 'banana'], ['date', 'date', 'banana'], ['bbbb', 'dddd', 'rrrr', 'eeeeee', 'rrrrrr'], ['ap', 'ap', 'date', 'adatep', 'banana', 'banacheyrryn'], ['aa', 'bc', 'qr', 'qr', 'qr', 'ghij', 'vwxy'], ['bc', 'ghij'], ['hi', 'abcd'], ['aa', 'eeee', 'cccccc', 'eeeeee'], ['bbbb', 'rrrr', 'eeeeee', 'rrrrrr'], ['aa', 'bb'], ['', '', 'vwxy', 'datedddd'], ['kiwi', 'kiwi', 'banana', 'cherry'], ['abcd', 'jklbPython'], ['ap', 'ap', 'date', 'adatep', 'banana', 'banacheyrryn'], ['aa', 'bbbb', 'eeee', 'cccccc', 'eeeeee'], ['Python'], ['aa', 'bbbb', 'cccccc', 'ccceeecc', 'eeeccceeecceee'], ['aa', 'bbbb', 'bbbb', 'eeee', 'eeddddee'], ['', 'aa', 'bbbb', 'eeee', 'Python', 'cccccc', 'eeeeee'], ['date', 'kiwi', 'banana'], ['hi', 'abcd'], ['abcd', 'abcd'], ['date', 'date', 'kiwi', 'banana'], [], ['knlmno'], ['aa', 'eeee', 'eeeeee'], ['mnno', 'mnno'], ['knlmno', 'dateddddknlmno'], ['bb', 'ee', 'yy', 'cccc', 'zzzz', 'rrrrrr', 'ssssss'], ['aa', 'bb', 'mnnoaa'], ['aa', 'bbbb', 'eeee', 'cccccc', 'eeeeee'], ['cherry', 'cherry'], ['bb', 'ee', 'ee', 'yy', 'zz', 'cccc', 'cheyrrya'], ['ap', 'date', 'kiwi', 'adatep', 'banana', 'datedddd'], ['ghij', 'knlmno'], ['aa', 'bc', 'qr', 'ghij'], ['gh', 'abcc'], ['eeee', 'vwxy', 'cccmno'], ['aa', 'bbbb', 'bbbb', 'bbbb', 'eeeeee'], ['aa', 'eeeeee', 'bbmnnoaabb'], ['abcd', 'abcd', 'efyystug', 'ahghijjbcd'], ['aa', 'bbbb', 'dddddd', 'eeeeee'], ['abcd', 'cheyrrya'], ['bb', 'ee', 'yy', 'cccc', 'zzzz', 'ssssss'], ['', '', 'vwxy', 'datedddd'], ['ef', 'hi', 'abcd', 'eeee'], ['zz'], ['aa', 'bbbb', 'ydef', 'eeeeee'], ['ee', 'cccc', 'rrrrrr', 'rrrrrr', 'ssssssss'], ['abcc'], ['aa', 'bbbb', 'bbbb', 'ydef', 'eeeeee'], ['Python', 'klisimno'], ['cherry'], ['qr', 'qr', 'ghij', 'vwxy'], ['ee', 'cccc', 'rrrrrr', 'rrrrrr', 'ssssssss', 'sssssssklmno'], ['aa', 'bbbb', 'eeee', 'cccccc', 'eeeeee'], ['aa', 'bc', 'qr', 'ghij', 'vwxy'], ['kiwi', 'applae', 'cherry'], ['aa', 'bb'], ['date', 'date', 'kiwi', 'banana', 'cherry', 'cherry'], ['aa', 'dd', 'bbbb', 'bbbb', 'bbbb', 'bbbb', 'eeeeee', 'eeeeee'], ['aa', 'aa', 'bbbb', 'eeeeee'], ['bb', 'bbbb', 'eeee', 'eeddddee'], ['aaaa', 'dddd', 'ffffff', 'ffbbbbffff'], ['ee', 'yy', 'cccc', 'zzzz', 'rrrrrr', 'ssssssss'], ['zz'], ['aaaa', 'bbbb', 'eeee', 'eeddddee'], ['hi', 'abcd'], ['aa', 'bbbb', 'bbbb', 'ydef', 'ydef', 'eeeeee'], ['aa', 'bbbb', 'eeee', 'cccccc', 'eeeeee', 'cheyrrya', 'dcherryd'], ['ghij', 'kklmno', 'kklmno', 'kklmno'], ['ghij'], ['ee', 'yy', 'cccc', 'ydef', 'zzzz', 'zzzz'], ['aa', 'datedddd'], ['', '', 'vwxy', 'datedddd', 'datedddd'], ['ghij', 'kklmno', 'kklmno'], ['ee', 'yy', 'cccc', 'zzzz'], ['aa', 'bc', 'qr', 'qr', 'qr', 'ghij', 'vwxy'], ['aa', 'datedddd'], ['aa', 'bbbb', 'eeee'], ['aa', 'bbbb', 'bbbb', 'bbbb', 'eeeeee', 'eeeeee'], ['bc'], ['aa', 'aa', 'zz', 'bbbb', 'eeee', 'eeddddee'], ['date', 'kiwi', 'cherry', 'loemon', 'dateddddknlmno'], ['abcd', 'abcd', 'efyystug', 'ahghijjbcd'], ['knlmno'], ['ee', 'qr', 'yy', 'zzzz', 'rrrrrr'], ['knlmno', 'dateddddknlmno', 'dateddddknlmno'], ['ee', 'dddd', 'ffffff'], ['ee', 'yy', 'cccc', 'dddd', 'zzzz', 'rrrrrr'], ['ap', 'date', 'kiwi', 'adatep', 'banana', 'datedddd'], ['aa', 'bbbb', 'dddddd', 'eeeeee', 'cheyrrya'], ['abcd'], ['ee', 'yy', 'cccc', 'cccc', 'cccc', 'dddd', 'zzzz', 'rrrrrr'], ['ee'], [], [], ['aa', 'bbbb', 'dddddd', 'eeeeddddddee'], ['ab', 'ee'], ['ee', 'dddd', 'dddd', 'ffffff'], ['ee', 'yy', 'yy', 'cccc', 'zzzz', 'rrrrrr'], ['ghij', 'knlmno', 'knlmno'], ['datedddd'], ['aa', 'bb', 'bb'], ['ac', 'datedddd'], ['ap', 'ap', 'date', 'banana', 'banacheyrryn'], ['aa', 'cccccc', 'cccccc', 'ccceeecc', 'eeeccceeecceee'], ['ee', 'ee', 'dddddd', 'ffffff'], ['abcd', 'abcd', 'abcd', 'efyystug', 'ahghijjbcd'], ['qr', 'qr', 'ghij', 'vwxy', 'vwxy'], ['bc', 'qr', 'qr', 'ghij', 'vwxy'], [], ['ee', 'knlmno', 'dateddddknlmno'], ['abcd'], ['aa', 'bc', 'ghij'], ['aa', 'aaaa', 'eeee', 'cccccc', 'eeeeee'], ['bbbb', 'eeee', 'eeeeee'], ['ee', 'ee', 'dddd', 'ffffff'], ['kiwi', 'banana', 'datedddd'], ['kklmno', 'rrrrrr', 'klisimno'], ['bb', 'bbbb', 'eeee', 'eeee', 'eeeeee'], ['kiwi', 'banana', 'cherry', 'rgrape'], ['ee', 'cccc', 'rrrrrr', 'rrrrrr', 'ssssssss'], ['aa', 'bbbb', 'eeee', 'eeeeee', 'dateddddknlmno'], ['bc', 'qr', 'ghij', 'vwxy', 'vwxy'], ['bbbb', 'rrrr', 'eeeeee', 'rrrrrr', 'dateddddrrrr'], ['aa', 'bb'], ['ap', 'date', 'kiwi', 'banana'], ['ee', 'yy', 'yy', 'cccc', 'cccc', 'zzzz', 'rrrrrr'], ['aa', 'bb'], ['bbbb', 'aaaaaa', 'eeddddee', 'eeddddeapplaee'], ['aa', 'bb'], ['bc'], ['hi', 'abcd'], [], ['abcd', 'efgdef'], ['knlmno', 'dateddddknlmno'], ['ghij', 'ghij', 'knlmno'], ['', 'aa', 'bb'], ['bbbb', 'rrrr', 'eeeeee', 'rrrrrr'], ['knlmno', 'knlmno', 'dateddddknlmno'], ['is', 'ieeeccceeecceees'], ['aa', 'aa', 'bbbb', 'eeee'], ['knlmno'], ['ee', 'zzzz', 'rrrrrr'], ['ef', 'hi', 'eeee'], ['', 'aa', 'bc', 'qr', 'ghij'], ['ghij', 'kklmno', 'kklmno', 'kklmno'], ['aa', 'bbbb', 'eeee', 'eeeeee', 'applaegh'], [], [], ['abcd', 'rgrape', 'efyystug', 'ahghijjbcd'], ['qr', 'ghij', 'vwxy', 'vwxy', 'vwxy'], ['ghij'], ['bbbb', 'rrrr', 'eeeeee', 'rrrrrr', 'dateddddrrrr'], ['aa', 'bbbb', 'eeee', 'eeeeee'], ['yy', 'yy', 'cccc', 'date', 'zzzz', 'rrrrrr'], ['bb', 'aaaa', 'bbbb', 'eeee', 'cccaaa', 'eeddddee'], ['aa', 'bbbb', 'eeee'], ['aa', 'bbbb', 'cccccc', 'eeeeee', 'ccceeecc'], ['bbbb', 'eeee', 'eeeeee'], ['ee', 'ghgi'], ['ddef'], ['gh', 'hi'], ['bbbb', 'eeee'], ['ab', 'Python'], ['kiwi', 'banana', 'datedddd', 'grapeawesome'], ['aa', 'bbbb', 'cccccc', 'eeeeee', 'ccceeecc'], ['', 'ee', 'yy', 'abcd', 'cccc', 'zzzz', 'rrrrrr'], ['aa', 'bbbb', 'bbbb', 'bbbb', 'bbbb', 'eeeeee'], ['aa', 'bc', 'qr', 'ghij', 'vwxy'], ['abcd', 'rgrape', 'ahghijjbcd'], ['ee', 'yy', 'yy', 'cccc', 'zzzz', 'rrrrrr'], ['bb', 'bbbb', 'eeee', 'eeddddee'], ['aa', 'eeeeee'], ['aa', 'bbbb', 'eeee', 'eeeeee', 'eeeeee', 'dateddddknlmno'], ['aa', 'bbbb', 'dddddd', 'eeeeee'], ['kiwi', 'banana', 'cherry', 'cherry'], ['ee', 'yy', 'cccc', 'zzzz', 'rrrrrr'], ['', 'aa', 'bc', 'qr', 'ghij'], ['ee', 'yy', 'zzzz', 'rrrrrr'], ['aa', 'aaaa', 'eeee', 'cccccc', 'eeeeee', 'eeeapplaee'], ['bbbb', 'bbbb', 'bbbb', 'eeeeee'], ['hi', 'abcd'], ['is', 'is', 'Python'], [], ['aa', 'bbbb', 'eeee', 'eeee'], ['bbbb', 'rrrr', 'eeeeee', 'rrrrrr'], ['ee', 'yy', 'cccc', 'ydef', 'ydef', 'zzzz', 'zzzz'], ['bc', 'klisimno'], ['Python', 'Proggreramming'], ['abbc', 'vwxy'], ['aa', 'bbbb', 'eeee', 'eeeeee'], ['', 'ee', 'yy', 'cccc', 'zzzz', 'rrrrrr'], ['bbbb', 'kiwi', 'banana', 'rgrape'], ['bbbb', 'dddd', 'rrrr', 'eeeeee', 'rrrrrr'], ['sssssssklmno'], ['abcc'], ['ee', 'yy', 'yy', 'cccc', 'zzzz', 'rrrrrr'], ['kiwi', 'banana', 'cherry'], ['bbbb', 'eeeeee', 'eeeeee', 'deHelloe'], ['abcd'], ['bb', 'ee', 'ee', 'yy', 'cccc', 'dcherryd'], ['abcd', 'abcd', 'jjkl', 'cheyrrya'], ['ee', 'yy', 'cccc', 'date', 'yyyy', 'zzzz', 'rrrrrr', 'sssssyystu'], ['ap', 'deef', 'cccmno', 'jkklmnol'], ['ee', 'yy', 'cccc', 'zzzz', 'rrrrrr'], ['ghij'], ['dd', 'kiwi', 'banana'], ['ac', 'datedddd'], ['bc', 'ghij', 'kklmno'], ['bbbb', 'dddd', 'rrrr', 'eeeeee', 'rrrrrr'], ['ghij'], ['bbbb', 'rrrr', 'eeeeee', 'rrrrrr'], [], ['is', 'is', 'Python'], ['bbbb', 'eeee', 'dcherryd'], ['ee', 'qr', 'dddd', 'ffffff'], ['ee', 'yy', 'cccc', 'date', 'yyyy', 'zzzz', 'rrrrrr', 'rddddrrrrr', 'sssssyystu'], ['aa', 'bbbb', 'eeee', 'cccccc', 'eeeeee', 'cheyrrya', 'cheyrrya', 'dcherryd'], ['', '', 'vwxy', 'datedddd'], [], ['abcd', 'abcd', 'efyystug', 'ahghijjbcd', 'absssssyystucd'], ['kiwi', 'banana', 'cherry', 'ggrape'], ['is', 'Python', 'ieeeccceeecceees'], ['bbbb', 'bbbb', 'bbbb', 'eeeeee'], ['bbbb', 'eeee', 'kiwi', 'banana', 'rgrape'], ['bbbb', 'eeeeee', 'rrrrrr'], ['ghij', 'knlmno', 'knlmno'], ['bbap', 'eeee', 'kiwi', 'banana', 'rgrape'], ['aa', 'bbbb', 'eeee', 'eeeeee'], ['abcd', 'abcd'], ['aa', 'bbbb', 'ydef', 'eeeeee'], ['aa', 'bb'], ['ee', 'yy', 'cccc', 'zzzz', 'rrrrrr'], ['bb', 'ee', 'ee', 'yy', 'zz', 'cccc', 'cheyrrya'], ['ee', 'yy', 'yy', 'cccc', 'zzzz', 'rrrrrr'], ['aa', 'zz', 'eeeeee'], ['abcc'], ['kklmno', 'kklmno', 'rrrrrr', 'klisimno'], ['aa', 'bbbb', 'cccccc'], ['aa', 'aa', 'aaai', 'bbbb', 'eeeeee'], ['aa', 'bbbb', 'bbbb', 'bbbb', 'eeeeee', 'eeeeghijee'], ['kiwi', 'banana', 'deefdate'], ['bbbb', 'eeee', 'jjkl', 'eeeeee']]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(sorted_list_sum)
print('___SENTINEL___')
| 31746ada9da6641850049b5b5d9d62a1 |
import numpy as np
def is_floats(x) -> bool:
# check if it is float; List[float]; Tuple[float]
if isinstance(x, float):
return True
if isinstance(x, (list, tuple)):
return all(isinstance(i, float) for i in x)
if isinstance(x, np.ndarray):
return x.dtype == np.float64 or x.dtype == np.float32
return False
def assertion(out, exp, atol):
exact_match = out == exp
if atol == 0 and is_floats(exp):
atol = 1e-4
if not exact_match and atol != 0:
assert np.allclose(out, exp, rtol=1e-04, atol=atol)
else:
assert exact_match
def check(candidate):
inputs = [[['aa', 'a', 'aaa']], [['ab', 'a', 'aaa', 'cd']]]
results = [['aa'], ['ab', 'cd']]
for i, (inp, exp) in enumerate(zip(inputs, results)):
assertion(candidate(*inp), exp, 0)
check(sorted_list_sum)
print('___SENTINEL___')
| 91146bf4bc3863e5001d4a08656a56ce |