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Combinatoric generators: product(p, q, ... [repeat=1]) --> cartesian product permutations(p[, r]) combinations(p, r) combinations_with_replacement(p, r) zip_longest(iter1 [,iter2 [...]], [fillvalue=None]) --> zip_longest object Return a zip_longest object whose .__next__() method returns a tuple where the i-th element comes from the i-th iterable argument. The .__next__() method continues until the longest iterable in the argument sequence is exhausted and then it raises StopIteration. When the shorter iterables are exhausted, the fillvalue is substituted in their place. The fillvalue defaults to None or can be specified by a keyword argument. repeat(object [,times]) -> create an iterator which returns the object for the specified number of times. If not specified, returns the object endlessly.Private method returning an estimate of len(list(it)).product(*iterables, repeat=1) --> product object Cartesian product of input iterables. Equivalent to nested for-loops. For example, product(A, B) returns the same as: ((x,y) for x in A for y in B). The leftmost iterators are in the outermost for-loop, so the output tuples cycle in a manner similar to an odometer (with the rightmost element changing on every iteration). To compute the product of an iterable with itself, specify the number of repetitions with the optional repeat keyword argument. For example, product(A, repeat=4) means the same as product(A, A, A, A). product('ab', range(3)) --> ('a',0) ('a',1) ('a',2) ('b',0) ('b',1) ('b',2) product((0,1), (0,1), (0,1)) --> (0,0,0) (0,0,1) (0,1,0) (0,1,1) (1,0,0) ...Returns size in memory, in bytes.chain(*iterables) --> chain object Return a chain object whose .__next__() method returns elements from the first iterable until it is exhausted, then elements from the next iterable, until all of the iterables are exhausted.islice(iterable, stop) --> islice object islice(iterable, start, stop[, step]) --> islice object Return an iterator whose next() method returns selected values from an iterable. If start is specified, will skip all preceding elements; otherwise, start defaults to zero. Step defaults to one. If specified as another value, step determines how many values are skipped between successive calls. Works like a slice() on a list but returns an iterator.Returns an independent iterator.Set state information for unpickling.Return state information for pickling.count(start=0, step=1) -- Return a count object whose .__next__() method returns consecutive values. Equivalent to: def count(firstval=0, step=1): x = firstval while 1: yield x x += stepfilterfalse(function, iterable, /) -- Return those items of iterable for which function(item) is false. If function is None, return the items that are false.compress(data, selectors) -- Return data elements corresponding to true selector elements. Forms a shorter iterator from selected data elements using the selectors to choose the data elements.accumulate(iterable, func=None, *, initial=None) -- Return series of accumulated sums (or other binary function results).permutations(iterable, r=None) -- Return successive r-length permutations of elements in the iterable. permutations(range(3), 2) --> (0,1), (0,2), (1,0), (1,2), (2,0), (2,1)combinations_with_replacement(iterable, r) -- Return successive r-length combinations of elements in the iterable allowing individual elements to have successive repeats. combinations_with_replacement('ABC', 2) --> AA AB AC BB BC CC"combinations(iterable, r) -- Return successive r-length combinations of elements in the iterable. combinations(range(4), 3) --> (0,1,2), (0,1,3), (0,2,3), (1,2,3)from_iterable($type, iterable, /) -- Alternative chain() constructor taking a single iterable argument that evaluates lazily.starmap(function, iterable, /) -- Return an iterator whose values are returned from the function evaluated with an argument tuple taken from the given sequence.takewhile(predicate, iterable, /) -- Return successive entries from an iterable as long as the predicate evaluates to true for each entry.dropwhile(predicate, iterable, /) -- Drop items from the iterable while predicate(item) is true. Afterwards, return every element until the iterable is exhausted.cycle(iterable, /) -- Return elements from the iterable until it is exhausted. Then repeat the sequence indefinitely.tee($module, iterable, n=2, /) -- Returns a tuple of n independent iterators._tee(iterable, /) -- Iterator wrapped to make it copyable.teedataobject(iterable, values, next, /) -- Data container common to multiple tee objects.groupby(iterable, key=None) -- make an iterator that returns consecutive keys and groups from the iterable iterable Elements to divide into groups according to the key function. key A function for computing the group category for each element. If the key function is not specified or is None, the element itself is used for grouping.O(ONO)O(())(Oi)O(OO)O(OO)lfilterfalsestarmaptakewhiledropwhilecycleN(())O|n:repeatONOO(())OOOONislicer must be non-negativechainO(OO)(OOO)O(On)O(O)O(n)O()(OO)O()(O)O()len() of unsized object%s(%R)%s(%R, %zd)O(Nn)nO(OnNn)nO(()n)O(On)N%s(%zd)%s(%R, %R)nO(N)(OO)O(O)(OO)(O)OO(NO)ONOO(NiO)O(OO)O_grouperargument 1state is not a tupleO!iIndex out of rangeO|OArguments must be iterators.OOOteen must be >= 0O(On)(NN)invalid argumentsrepeat|n:productrepeat argument too large_teeExpected int as ra number is requiredteedataobjectlistargument 2Invalid argumentsO!O!__copy__iterablefuncinitialaccumulatercombinationscombinations_with_replacement__setstate__dataselectorscompressstartstepcountfillvaluepermutationsobjecttimeskeygroupbyiteritertools__reduce__itertools.zip_longest__length_hint__itertools.repeat__sizeof__itertools.productfrom_iterable__class_getitem__See PEP 585itertools.chainitertools.isliceitertools.countitertools.filterfalseitertools.compressitertools.accumulateitertools.permutationsitertools.combinationsitertools.starmapitertools.takewhileitertools.dropwhileitertools.cycleitertools._teeitertools._tee_dataobjectitertools._grouperitertools.groupbyzip_longest() got an unexpected keyword argumentStop argument for islice() must be None or an integer: 0 <= x <= sys.maxsize.Indices for islice() must be None or an integer: 0 <= x <= sys.maxsize.Step for islice() must be a positive integer or None.integer argument expected, got floatcannot re-enter the tee iteratorrepeat argument cannot be negativeitertools.combinations_with_replacement*k8intiii ( b    ( 0 8 @ H P X `` fh bp bt px F T l | &{ / 0 1 2 3- 5b 7  ` ` f b/ | (   b fDb i K M N O( \x ^b _M `b bM  fb h[ i[ j( Z |  } ~i  ' x0 & b M & & &  M( M,0 W  W  g / - M 3M 78 z8irBP§Òĥ ĥ(p 0ɥ8ʌ @˼ H,P X2`8h>p x ۱  D8* ' F Q \ g  r ( 0} 8T @'HPX` h p p xMp  iuklumPst{uv{'28bGRXgrxbbb   b* 5 ; bT  _ e p {        b    ' - F b   u²   u- . /0 1 P8 buf9obj:len;<>b ?b$@(A 0B 8C @DHE G  b  b H    J  0 0 -6  o tuvwx y(z0{8|@}'H~PX`hpx; PGgg (08@gHG!   ! #$%&b(J(  get set+doc   U(VW3- (C   d d t C(     0 {  ( *J)(,w-{.|/0 w1:=>b?hK+LM(N0O8P4@Q+HR* PS'XTT `<BV aVw_ts36T7T8Z;fb Fb L R l tb v w |b}N (08@bHPX`bhblbpNxbfb $C+++-C/wIqwfbl(Սobj_  b < 6<bU{kbr@\ ]^ _`posab minbb$maxcb(d0e8 f 06bO!        !O" """"q"r"sb"tb"y'"{"}""""b"b "b""`"h""b""""    !#D!    #L:#M#N!#P^#Qb#RE$$8$:$^$!8$%g $&P$*gx$+ % %%%%i44argU^b b b  (#$b*b-^/^ 0: 5) 67b89 "$ }# {   !L#%# {&it b b  #( # 8#$(;$ { ;$ b  ##$0$ {&it   b(M$$(r$ s{ t&itu vi w$$()% { &it i $$8% {&it   (&cnt05%$ % { &it%$ E& F{ G HI%$0$\& %{ & '  ( )b(*&$8 &  {       &r (  b0 h&$8 '  {       &r (  b0 &$@" ' # { $  %  & ' (&r( 0 ) b8* ,'$0 '  {  &it     ( '$ e"( f{ g hi'$ ^( { &it.($(( {&cnt   j($ ( { &cnt($8.I) /{ 0 1 2 3( 405('b{)(ob{)))) {) *)(ob)u+),op-mb*.mu.m8/o8'sb*(gbos*)s (args0D*1ub0U*1vb0f*1wb0w*1xb21ybA#-b*,tdo;$. ,arg3ib0*/b0*/ b2/ b- bv+,lz v+.  ,arg 0C+/ b0U+/ b0g+/ b2/ b'-b+,lz+. ,arg0+/b0+/b2/bI)+,,op- ,,tdo;$--V,.-u.-..+o,,op-O,.Ou,itO.P.P3tdoS;$3iT3lenT4errt-N-.Nu.N3lzP-&'F-(lz*)1-o-,roo-.(-W-,lzW-.W(--,lz-.--.u.-F.,toF..3tdo!;$/"b2//A$-).,lz)..)/+/,b2/5$'B .)B5tpDu1E5ptrF '<.(n<-'gb/)g)g)h0 )h-)i1k 5resl21s'/(gbo*5r10/1b21-/,roo-.-/,roo-- u0,po u0. 4err 2/ / 3n 3i 0e0/ 2/ '-M0,lzM0.M/R2/U/V%- 1,lz 1. 2/ 3i 2/  '-C t1,lzC t1.C 2/J 3iK 2/S &'51)51"6D*2))b(op5gc$1*1+1,-?+2,lz?-2/Fi-!`2,lz!-/#/$-7}2,lz7--2,lz..23it2/ 3res- 3,lz v+. 033it 23it - W3,lz v+3val / 2/ -o3.o.o,no3ir3its/s/s/s/t 7PbE48igoP49P 8argP: [4;Rb<v=T|>/Sb?T=TQ}#7b58toF.9 8arg@ /b?T=TQ7bE58lz.9 8arg: 5;b<v=T|>/b?T=TQ7bEr68lzr69 8arg: J6;b<v=T|>/b?T=TQ$7KbE*78lzK*79K 8argK: 7;Mb<v=T|>/Nb?T=TQ)%7b78lz09 8arg@ /!b?T=TQ7bEg88lzg89 8arg: ?8;b<v=T|>/b?T=TQ%7bE98lz-9 8arg: 8;b<v=T|>/b?T=TQ7bE98lz99 8arg: 9;b<v=T|>/b?T=TQ\&7 bE:8co t19  8arg : a:; b<v=T|>/ b?T=TQ76 bE;;8co6 196  8arg6 : ;;8 b<v=T|>/9 b?T=TQ7 bE;8po u09  8arg : ;; b<v=T|>/ b?T=TQ7bE<8lz<9 8arg: w<;b<v=T|>/b?T=TQ"(77bEW=8lz7W=97 8arg7: /=;9b<v=T|>/:b?T=TQ^(7bE>8lz-9 8arg: =;b<v=T|>/b?T=TQ7b>8roo-9 8arg@ /b?T=TQ7#>Aroo-UB)C)7cbq}?8mcDe}?~E) |X?F) G)>3i~-H=Uv u? 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