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Used by copy and pickle.r$)rÚ_tuples €rÚ__getnewargs__z"namedtuple..__getnewargs__Ús ø€á�d‹|Ðr%Ú.r$) r¢r3rÎÚ_field_defaultsr7rÄrÊrrÑrÔÚ__match_args__zAlias for field number Ú__main__r!)&r‚ÚstrÚreplaceÚsplitrÇr”rdÚinternÚsetÚ enumerateÚ isidentifierÚ _iskeywordÚ startswithÚaddÚtyperÀrÆrƒrfr6rÚzipÚjoinr7Úevalr!r¢Ú __defaults__r¨Ú__func__r#r©Ú_getframemodulenameÚAttributeErrorÚ _getframeÚ f_globalsÚgetr")ÚtypenamerÉr°r±r²Úseenr®rºÚfield_defaultsÚarg_listÚ namespaceÚcoder7rÄrÊrrÑrÔÚmethodÚclass_namespacer«rvrÏrÁrÈrÓrÐrÂrÌrÃs ` @@@@@@@@rr r cssÿø€ô4�+œsÔ#Ø!×)Ñ)¨#¨sÓ3×9Ñ9Ó;ˆ Ü”sœ3  Ó,Ó-€KÜ�{‰{œ3˜x›=Ó)€Há Ü‹uˆÜ$ [Ö1‰KˆE�4Ø×%Ñ%Ô'ܘdÔ#Ø—?‘? 3Ô'ؘ4‘<Ø'(¨¨ [� ˜EÑ"Ø �H‰H�T�Nð 2ð� ˜[Ô(ˆÜ �‹:œSÑ ÜÐHÓIÐ IØ× Ñ Ô"Üð-Ø-1¨Hð6ó7ð 7ä �dÕ Üð)Ø)-¨ð2ó3ð 3ð)ô ‹5€DÛˆØ �?‰?˜3Ô ©ÜÐLØ $˜xð)ó*ð *à �4‰<ÜÐAÀ$ÀÐJÓKÐ KØ �‰��ð ð€NØÐܘ“?ˆÜ ˆx‹=œ3˜{Ó+Ò +ÜÐFÓGÐ GÜœh¤t¬C´¸Ó0EÜ08¸Ó0Bó-Dó(EóFóGˆôœœDŸK™K¨Ó5Ó6€KÜ�[Ó!€JØ�y‰y˜Ó%€HØ�Q‚Ø�C‰ˆØ�T—Y‘YÑD¹ ÓDÓDÑDÀsÑJ€HÜ— ‘ €IÜ&*¬E´3¼¼SÐ&@Ñ#€Eˆ6�4˜˜tð  ØØ! ( Ð,ñ€Ið ˜8˜*Ð$8¸¸ À"Ð E€DÜ�4˜Ó#€GØ €GÔØ/°¨z¸¸8¸*ÀAÐF€G„OØÐØ'ˆÔäõóðð !,¨H¨:ð6,ð,€E‡N�NÔõð (¨ zð21ð1€HÔô9õ/ôð Ø �‰ØØØØó ˆð"*  ¨!¨F¯O©OÐ+<Ð=ˆÕðð�Z˜q   ¨!Ð,ØØØ)ØØØØØØ(Ø%ñ €Oô! Ö-‰ ˆˆtÜ�k‰kÐ3°E°7Ð;Ó<ˆÜ ,¨U°CÓ 8ˆ˜Òð.ô�(œU˜H oÓ 6€Fð€~ð Ü×-Ñ-¨aÓ0Ò>°JˆFð ÐØ"ˆÔà €Møôò ð ÜŸ™¨Ó*×4Ñ4×8Ñ8¸ÀZÓP‘øÜ"¤JÐ/ò Ùð üð ús6Î OÏ PÏ/O>Ï=PÏ>PÐ PÐPÐPÐPcóH—|j}|D]}||d«dz||<Œy)z!Tally elements from the iterable.r rbN)rí)Úmappingr�Ú mapping_getÚelems rÚ_count_elementsrús*€à—+‘+€KÛˆÙ# D¨!Ó,¨qÑ0ˆ�Š ñr%)rúc󿇗eZdZdZdˆfd„ Zd„Zd„Zdd„Zd„Ze dd„«Z dˆfd„ Z dd „Z d „Z d „Zˆfd „Zd „Zd„Zd„Zd„Zd„Zd„Zd„Zd„Zd„Zd„Zd„Zd„Zd„Zd„Zd„Zd„Zd„Z d„Z!ˆxZ"S) raŸDict subclass for counting hashable items. Sometimes called a bag or multiset. Elements are stored as dictionary keys and their counts are stored as dictionary values. >>> c = Counter('abcdeabcdabcaba') # count elements from a string >>> c.most_common(3) # three most common elements [('a', 5), ('b', 4), ('c', 3)] >>> sorted(c) # list all unique elements ['a', 'b', 'c', 'd', 'e'] >>> ''.join(sorted(c.elements())) # list elements with repetitions 'aaaaabbbbcccdde' >>> sum(c.values()) # total of all counts 15 >>> c['a'] # count of letter 'a' 5 >>> for elem in 'shazam': # update counts from an iterable ... c[elem] += 1 # by adding 1 to each element's count >>> c['a'] # now there are seven 'a' 7 >>> del c['b'] # remove all 'b' >>> c['b'] # now there are zero 'b' 0 >>> d = Counter('simsalabim') # make another counter >>> c.update(d) # add in the second counter >>> c['a'] # now there are nine 'a' 9 >>> c.clear() # empty the counter >>> c Counter() Note: If a count is set to zero or reduced to zero, it will remain in the counter until the entry is deleted or the counter is cleared: >>> c = Counter('aaabbc') >>> c['b'] -= 2 # reduce the count of 'b' by two >>> c.most_common() # 'b' is still in, but its count is zero [('a', 3), ('c', 1), ('b', 0)] c óH•—t‰|�«|j|fi|¤Žy)a Create a new, empty Counter object. And if given, count elements from an input iterable. Or, initialize the count from another mapping of elements to their counts. >>> c = Counter() # a new, empty counter >>> c = Counter('gallahad') # a new counter from an iterable >>> c = Counter({'a': 4, 'b': 2}) # a new counter from a mapping >>> c = Counter(a=4, b=2) # a new counter from keyword args N)ÚsuperrCr˜)rr�r>r~s €rrCzCounter.__init__Ss#ø€ô ‰ÑÔØˆ� ‰ �HÑ% Ó%r%có—y)z1The count of elements not in the Counter is zero.r r$r)s rÚ __missing__zCounter.__missing__as€ðr%có4—t|j««S)zSum of the counts)Úsumrqrs rÚtotalz Counter.totalfs€ä�4—;‘;“=Ó!Ð!r%có®—|€%t|j«td«d¬«Sddl}|j ||j«td«¬«S)zìList the n most common elements and their counts from the most common to the least. If n is None, then list all element counts. >>> Counter('abracadabra').most_common(3) [('a', 5), ('b', 2), ('r', 2)] NrbT)r*Úreverser )r*)Úsortedror­ÚheapqÚnlargest)rrirs rÚ most_commonzCounter.most_commonjsF€ð ˆ9ܘ$Ÿ*™*›,¬K¸«NÀDÔIÐ Ió Ø�~‰~˜a §¡£´;¸q³>ˆ~ÓBÐBr%cód—tjtt|j «««S)aIterator over elements repeating each as many times as its count. >>> c = Counter('ABCABC') >>> sorted(c.elements()) ['A', 'A', 'B', 'B', 'C', 'C'] Knuth's example for prime factors of 1836: 2**2 * 3**3 * 17**1 >>> import math >>> prime_factors = Counter({2: 2, 3: 3, 17: 1}) >>> math.prod(prime_factors.elements()) 1836 Note, if an element's count has been set to zero or is a negative number, elements() will ignore it. )Ú_chainÚ from_iterableÚ_starmapÚ_repeatrors rÚelementszCounter.elementszs"€ô&×#Ñ#¤H¬W°d·j±j³lÓ$CÓDÐDr%có—td«‚)Nz@Counter.fromkeys() is undefined. Use Counter(iterable) instead.)ÚNotImplementedError)r<r�Úvs rr�zCounter.fromkeys‘s€ô"Ø NóPð Pr%c ó •—|�lt|tj«rF|r4|j}|j «D]\}}|||d«z||<Œnt ‰|�|«n t||«|r|j |«yy)aÉLike dict.update() but add counts instead of replacing them. Source can be an iterable, a dictionary, or another Counter instance. >>> c = Counter('which') >>> c.update('witch') # add elements from another iterable >>> d = Counter('watch') >>> c.update(d) # add elements from another counter >>> c['h'] # four 'h' in which, witch, and watch 4 Nr )r‚r£ÚMappingrírorýr˜rú)rr�r>Úself_getrùÚcountr~s €rr˜zCounter.update�s~ø€ð( Рܘ(Ô$4×$<Ñ$<Ô=ÙØ#Ÿx™x�HØ'/§~¡~Ö'7™ ˜˜eØ%*©X°d¸AÓ->Ñ%>˜˜Tš ñ(8ô‘G‘N 8Õ,ä  hÔ/Ù Ø �K‰K˜Õ ð r%c óø—|�d|j}t|tj«r(|j «D]\}}||d«|z ||<Œn|D]}||d«dz ||<Œ|r|j |«yy)a·Like dict.update() but subtracts counts instead of replacing them. Counts can be reduced below zero. Both the inputs and outputs are allowed to contain zero and negative counts. Source can be an iterable, a dictionary, or another Counter instance. >>> c = Counter('which') >>> c.subtract('witch') # subtract elements from another iterable >>> c.subtract(Counter('watch')) # subtract elements from another counter >>> c['h'] # 2 in which, minus 1 in witch, minus 1 in watch 0 >>> c['w'] # 1 in which, minus 1 in witch, minus 1 in watch -1 Nr rb)rír‚r£rroÚsubtract)rr�r>rrùrs rrzCounter.subtract¿sƒ€ð Ð Ø—x‘xˆHܘ(Ô$4×$<Ñ$<Ô=Ø#+§>¡>Ö#3‘K�D˜%Ù!)¨$°Ó!2°UÑ!:�D˜’Jñ$4ó%�DÙ!)¨$°Ó!2°QÑ!6�D˜’Jð%á Ø �M‰M˜$Õ ð r%có$—|j|«S)zReturn a shallow copy.rŒrs rr„z Counter.copyÚr�r%có2—|jt|«ffSr)r~r6rs rrŠzCounter.__reduce__Þs€Ø�~‰~¤ T£ ˜}Ð,Ð,r%có.•—||vrt‰|�|«yy)zGLike dict.__delitem__() but does not raise KeyError for missing values.N)rýrP)rrùr~s €rrPzCounter.__delitem__ásø€à �4‰<Ü ‰GÑ  Õ %ð r%cóØ—|s|jj›d�S t|j««}|jj›d|›d�S#t$rt|«}YŒ2wxYw)Nr{r|r})r~r!r6rrÀ)rÚds rrzCounter.__repr__æso€ÙØ—n‘n×-Ñ-Ð.¨bÐ1Ð 1ð ä�T×%Ñ%Ó'Ó(ˆAð—.‘.×)Ñ)Ð*¨!¨A¨5°Ð2Ð2øôò ä�T“ ŠAð ús�AÁA)Á(A)có`‡‡—t‰t«stStˆˆfd„‰‰fD««S)z=True if all counts agree. Missing counts are treated as zero.c3óB•K—|]}|D]}‰|‰|k(–—ŒŒy­wrr$©r¹ÚcÚerBrs €€rr»z!Counter.__eq__..ó(øèø€ÐI± ¨1ÃqÀ!�4˜‘7˜e A™hÕ&ÀqÐ&± ùóƒ©r‚rrœr“r–s``rr’zCounter.__eq__ó(ù€ä˜%¤Ô)Ü!Ð !ÜÔI°°u± ÓIÓIÐIr%có:—t|t«stS||k( S)z@True if any counts disagree. Missing counts are treated as zero.©r‚rrœr–s rr¥zCounter.__ne__s€ä˜%¤Ô)Ü!Ð !ؘ5‘=Ð Ð r%có`‡‡—t‰t«stStˆˆfd„‰‰fD««S)z:True if all counts in self are a subset of those in other.c3óB•K—|]}|D]}‰|‰|k–—ŒŒy­wrr$rs €€rr»z!Counter.__le__..#r"r#r$r–s``rÚ__le__zCounter.__le__r%r%cóF—t|t«stS||kxr||k7S)zATrue if all counts in self are a proper subset of those in other.r'r–s rÚ__lt__zCounter.__lt__%ó%€ä˜%¤Ô)Ü!Ð !Ø�u‰}Ò. ¨¡Ð.r%có`‡‡—t‰t«stStˆˆfd„‰‰fD««S)z./r"r#r$r–s``rÚ__ge__zCounter.__ge__+r%r%cóF—t|t«stS||k\xr||k7S)zCTrue if all counts in self are a proper superset of those in other.r'r–s rÚ__gt__zCounter.__gt__1r-r%cóì—t|t«stSt«}|j«D]\}}|||z}|dkDsŒ|||<Œ|j«D]\}}||vsŒ |dkDsŒ|||<Œ|S)zAdd counts from two counters. >>> Counter('abbb') + Counter('bcc') Counter({'b': 4, 'c': 2, 'a': 1}) r ©r‚rrœro©rrBrvrùrÚnewcounts rÚ__add__zCounter.__add__7s�€ô˜%¤Ô)Ü!Ð !Ü“ˆØŸ:™:ž<‰KˆD�%ؘu T™{Ñ*ˆHؘ!‹|Ø'��t’ ð(ð!Ÿ;™;ž=‰KˆD�%ؘ4Ò E¨A£IØ$��t’ ð)ðˆ r%cóò—t|t«stSt«}|j«D]\}}|||z }|dkDsŒ|||<Œ|j«D]\}}||vsŒ |dksŒd|z ||<Œ|S)z˜ Subtract count, but keep only results with positive counts. >>> Counter('abbbc') - Counter('bccd') Counter({'b': 2, 'a': 1}) r r4r5s rÚ__sub__zCounter.__sub__Js…€ô˜%¤Ô)Ü!Ð !Ü“ˆØŸ:™:ž<‰KˆD�%ؘu T™{Ñ*ˆHؘ!‹|Ø'��t’ ð(ð!Ÿ;™;ž=‰KˆD�%ؘ4Ò E¨A£IØ  5™y��t’ ð)ðˆ r%cóø—t|t«stSt«}|j«D]\}}||}||kr|n|}|dkDsŒ|||<Œ |j«D]\}}||vsŒ |dkDsŒ|||<Œ|S)z Union is the maximum of value in either of the input counters. >>> Counter('abbb') | Counter('bcc') Counter({'b': 3, 'c': 2, 'a': 1}) r r4©rrBrvrùrÚ other_countr6s rrŸzCounter.__or__]sŠ€ô˜%¤Ô)Ü!Ð !Ü“ˆØŸ:™:ž<‰KˆD�%Ø ™+ˆKØ&+¨kÒ&9‘{¸uˆHؘ!‹|Ø'��t’ ð (ð !Ÿ;™;ž=‰KˆD�%ؘ4Ò E¨A£IØ$��t’ ð)ðˆ r%có¨—t|t«stSt«}|j«D]\}}||}||kr|n|}|dkDsŒ|||<Œ |S)z‡ Intersection is the minimum of corresponding counts. >>> Counter('abbb') & Counter('bcc') Counter({'b': 1}) r r4r;s rÚ__and__zCounter.__and__qs]€ô˜%¤Ô)Ü!Ð !Ü“ˆØŸ:™:ž<‰KˆD�%Ø ™+ˆKØ %¨ Ò 3‘u¸ˆHؘ!‹|Ø'��t’ ð (ð ˆ r%có`—t«}|j«D]\}}|dkDsŒ |||<Œ|S)zEAdds an empty counter, effectively stripping negative and zero countsr ©rro©rrvrùrs rÚ__pos__zCounter.__pos__‚s4€ä“ˆØŸ:™:ž<‰KˆD�%Ø�q‹yØ$��t’ ð(ðˆ r%cóf—t«}|j«D]\}}|dksŒ d|z ||<Œ|S)z{Subtracts from an empty counter. Strips positive and zero counts, and flips the sign on negative counts. r r@rAs rÚ__neg__zCounter.__neg__Šs:€ô “ˆØŸ:™:ž<‰KˆD�%Ø�q‹yØ  5™y��t’ ð(ðˆ r%cóv—|j«D��cgc] \}}|dkDrŒ |‘Œ}}}|D]}||=Œ|Scc}}w)z?Internal method to strip elements with a negative or zero countr )ro)rrùrÚ nonpositives rÚ_keep_positivezCounter._keep_positive•sB€à/3¯z©z¬|ÔM©|¡   eÀ5È1Ã9’t¨|ˆ ÑMÛˆDØ�T‘ ð àˆ ùóNs” 5¢5cól—|j«D]\}}||xx|z cc<Œ|j«S)zÂInplace add from another counter, keeping only positive counts. >>> c = Counter('abbb') >>> c += Counter('bcc') >>> c Counter({'b': 4, 'c': 2, 'a': 1}) ©rorG©rrBrùrs rÚ__iadd__zCounter.__iadd__œó5€ð!Ÿ;™;ž=‰KˆD�%Ø �‹J˜%Ñ ŒJð)à×"Ñ"Ó$Ð$r%cól—|j«D]\}}||xx|zcc<Œ|j«S)zÂInplace subtract counter, but keep only results with positive counts. >>> c = Counter('abbbc') >>> c -= Counter('bccd') >>> c Counter({'b': 2, 'a': 1}) rIrJs rÚ__isub__zCounter.__isub__©rLr%cór—|j«D]\}}||}||kDsŒ|||<Œ|j«S)z½Inplace union is the maximum of value from either counter. >>> c = Counter('abbb') >>> c |= Counter('bcc') >>> c Counter({'b': 3, 'c': 2, 'a': 1}) rI)rrBrùr<rs rr™zCounter.__ior__¶sD€ð"'§¡¦Ñ ˆD�+ؘ‘JˆEؘUÓ"Ø(��T’ ð"/ð×"Ñ"Ó$Ð$r%cór—|j«D]\}}||}||ksŒ|||<Œ|j«S)z¯Inplace intersection is the minimum of corresponding counts. >>> c = Counter('abbb') >>> c &= Counter('bcc') >>> c Counter({'b': 1}) rI)rrBrùrr<s rÚ__iand__zCounter.__iand__ÅsC€ð Ÿ:™:ž<‰KˆD�%Ø ™+ˆKؘUÓ"Ø(��T’ ð(ð×"Ñ"Ó$Ð$r%r)#r!r"r#r¢rCrÿrrrr¨r�r˜rr„rŠrPrr’r¥r*r,r0r2r7r9rŸr>rBrDrGrKrNr™rQÚ __classcell__rŒs@rrr s²ø„ñ*õd &òò "óCò Eð.ò Póð Põ óD ò6$ò-ô&ò 3òZJò !ò Jò /ò Jò /ò ò&ò&ò(ò"ò òò %ò %ò %ö %r%rcó¾—eZdZdZd„Zd„Zd„Zdd„Zd„Zd„Z d „Z d „Z e «d „«Z ed „«Zd „ZeZdd„Zed„«Zd„Zd„Zd„Zd„Zd„Zd„Zd„Zd„Zy)ra¸ A ChainMap groups multiple dicts (or other mappings) together to create a single, updateable view. 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N)rÇÚmaps)rrUs rrCzChainMap.__init__çs€ô ˜“JÒ& 2 $ˆ� r%có—t|«‚r)r[r)s rrÿzChainMap.__missing__îs €Ü�s‹mÐr%cór—|jD] } ||cS|j|«S#t$rYŒ(wxYwr)rUr[rÿ)rr*r÷s rÚ __getitem__zChainMap.__getitem__ñsF€Ø—y”yˆGð Ø˜s‘|Ò#ð!ð ×Ñ Ó$Ð$øôò Ùð ús ‘*ª 6µ6Ncó—||vr||S|Srr$rxs rríz ChainMap.getùs€Ø 4™Kˆt�C‰yÐ4¨WÐ4r%cóV—tt«j|jŽ«Sr)rfrÝÚunionrUrs rÚ__len__zChainMap.__len__üs€Ü�;”3“5—;‘; § ¡ Ð*Ó+Ð+r%cóŠ—i}ttjt|j««D]}||z}Œ t |«Sr)r”r6r�rrUr†)rrr÷s rrTzChainMap.__iter__ÿs7€Ø ˆÜœ4Ÿ=™=¬(°4·9±9Ó*=Ö>ˆGØ �‰L‰Að?ä�A‹wˆr%có@‡—tˆfd„|jD««S)Nc3ó&•K—|]}‰|v–—Œ y­wrr$)r¹Úmr*s €rr»z(ChainMap.__contains__..søèø€Ð/¡Y �3˜!”8¡Yùsƒ©ÚanyrUr)s `rÚ __contains__zChainMap.__contains__sø€ÜÓ/ T§Y¢YÓ/Ó/Ð/r%có,—t|j«Srrars rÚ__bool__zChainMap.__bool__ó€Ü�4—9‘9‹~Ðr%cóˆ—|jj›ddjtt|j ««›d�S)Nr|r·r})r~r!rår”ÚreprrUrs rrzChainMap.__repr__ s5€à—.‘.×)Ñ)Ð*¨!¨D¯I©I´c¼$ÀÇ Á Ó6JÓ,KÐ+LÈAÐNÐNr%có:—|tj|g|¢­Ž«S)z?Create a ChainMap with a single dict created from the iterable.)r6r�)r<r�r=s rr�zChainMap.fromkeyss€ñ”4—=‘= Ð1¨DÒ1Ó2Ð2r%cóx—|j|jdj«g|jdd¢­ŽS)zHNew ChainMap or subclass with a new copy of maps[0] and refs to maps[1:]r rbN)r~rUr„rs rr„z ChainMap.copys3€àˆt�~‰~˜dŸi™i¨™l×/Ñ/Ó1ÐB°D·I±I¸a¸b°MÒBÐBr%c ól—|€|}n|r|j|«|j|g|j¢­ŽS)zµNew ChainMap with a new map followed by all previous maps. 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