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(root)/
lib/
python3.11/
collections/
__pycache__/
__init__.cpython-311.pyc

e2dZgdZddlZddlZddlmZddlmZ	ddlm
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lmZn#e$rYnwxYwGddej Z!Gddej"Z#Gddej$Z%Gdde&Z'Gdde(Z)	ddlm)Z)n#e$rYnwxYw	ddlm*Z*n#e$rdZ*YnwxYwdddddZ+dZ,	ddlm,Z,n#e$rYnwxYwGd d!e(Z-Gd"d#ej.Z/Gd$d%ej.Z0Gd&d'ejZ1Gd(d)ej2Z3dS)*a?This module implements specialized container datatypes providing
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list, set, and tuple.

* namedtuple   factory function for creating tuple subclasses with named fields
* deque        list-like container with fast appends and pops on either end
* ChainMap     dict-like class for creating a single view of multiple mappings
* Counter      dict subclass for counting hashable objects
* OrderedDict  dict subclass that remembers the order entries were added
* defaultdict  dict subclass that calls a factory function to supply missing values
* UserDict     wrapper around dictionary objects for easier dict subclassing
* UserList     wrapper around list objects for easier list subclassing
* UserString   wrapper around string objects for easier string subclassing

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jd#|}t?||||<0t|t"f|}|F	t
j dj!"d$d%}n#tFt f$rYnwxYw|||_$|S)&aCReturns a new subclass of tuple with named fields.

    >>> Point = namedtuple('Point', ['x', 'y'])
    >>> Point.__doc__                   # docstring for the new class
    'Point(x, y)'
    >>> p = Point(11, y=22)             # instantiate with positional args or keywords
    >>> p[0] + p[1]                     # indexable like a plain tuple
    33
    >>> x, y = p                        # unpack like a regular tuple
    >>> x, y
    (11, 22)
    >>> p.x + p.y                       # fields also accessible by name
    33
    >>> d = p._asdict()                 # convert to a dictionary
    >>> d['x']
    11
    >>> Point(**d)                      # convert from a dictionary
    Point(x=11, y=22)
    >>> p._replace(x=100)               # _replace() is like str.replace() but targets named fields
    Point(x=100, y=22)

    , _z*Type names and field names must be stringsz6Type names and field names must be valid identifiers: z0Type names and field names cannot be a keyword: z-Field names cannot start with an underscore: z"Encountered duplicate field name: Nz(Got more default values than field names, r`rzc3 K|]	}|dV
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"Ms7-Q%%Q98Q9cB|j}|D]}||ddz||<dS)z!Tally elements from the iterable.rr`N)r)mappingrmapping_getelems    r_count_elementsr
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11r)rceZdZdZd fd	ZdZdZd dZdZe	d dZ
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dZfd
ZdZdZdZdZdZdZdZdZdZdZdZdZdZdZdZdZdZ dZ!xZ"S)!raDict 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)]

    Ncdt|j|fi|dS)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)superrBr)rrr=r|s   rrBzCounter.__init__Ks;	H%%%%%%%rcdS)z1The count of elements not in the Counter is zero.rr$r(s  r__missing__zCounter.__missing__Ys	qrcDt|S)zSum of the counts)sumrors rtotalz
Counter.total^s4;;==!!!rc|1t|tddSddl}|||tdS)zList 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)]

        Nr`T)r)reverser)r))sortedrmrheapqnlargest)rrgrs   rmost_commonzCounter.most_commonbs]
9$**,,KNNDIIII	~~a;q>>~BBBrcttjtt|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.

        )_chain
from_iterable_starmap_repeatrmrs relementszCounter.elementsrs'$#HWdjjll$C$CDDDrc td)Nz@Counter.fromkeys() is undefined.  Use Counter(iterable) instead.)NotImplementedError)r;rvs   rrzCounter.fromkeyss"NPP	PrcB|t|tjrX|r4|j}|D]\}}|||dz||<n2t|nt|||r||dSdS)aLike 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)rrMappingrrmrrr)rrr=self_getrcountr|s      rrzCounter.updates(($4$<==	
0-#xH'/~~'7'7??e%*XXdA->->%>T

?GGNN8,,,,h///	KK		rc|e|j}t|tjr-|D]\}}||d|z
||<n|D]}||ddz
||<|r||dSdS)aLike 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

        Nrr`)rrrrrmsubtract)rrr=rrrs      rrzCounter.subtracts xH($4$<==
7#+>>#3#3;;KD%!)$!2!2U!:DJJ;%77D!)$!2!2Q!6DJJ	 MM$	 	 rc,||S)zReturn a shallow copy.rrs rrzCounter.copyrrc0|jt|ffSr)r|r5rs rrzCounter.__reduce__s~T

},,rcV||vr#t|dSdS)zGLike dict.__delitem__() but does not raise KeyError for missing values.N)rrO)rrr|s  rrOzCounter.__delitem__s14<<GG%%%%%<rc|s|jjdS	t|}n#t$rt|}YnwxYw|jjd|dS)Nryrzr{)r|r!r5rr)rds  rr~zCounter.__repr__s	2n-1111	T%%''((AA			T

AAA	.)22A2222s!5AAczttstStfdfDS)z=True if all counts agree. Missing counts are treated as zero.c3FK|]}|D]}||kVdSrr$rcerArs   rrz!Counter.__eq__.<locals>.<genexpr>=II1qII!47eAh&IIIIIIIrrrrrrs``rrzCounter.__eq__
F%))	"!!IIIIIu
IIIIIIrcHt|tstS||kS)z@True if any counts disagree. Missing counts are treated as zero.rrrrs  rrzCounter.__ne__s'%))	"!!5=  rczttstStfdfDS)z:True if all counts in self are a subset of those in other.c3FK|]}|D]}||kVdSrr$rs   rrz!Counter.__le__.<locals>.<genexpr>rrr rs``r__le__zCounter.__le__r!rcRt|tstS||ko||kS)zATrue if all counts in self are a proper subset of those in other.r#rs  r__lt__zCounter.__lt__-%))	"!!u}..rczttstStfdfDS)z<True if all counts in self are a superset of those in other.c3FK|]}|D]}||kVdSrr$rs   rrz!Counter.__ge__.<locals>.<genexpr>&rrr rs``r__ge__zCounter.__ge__"r!rcRt|tstS||ko||kS)zCTrue if all counts in self are a proper superset of those in other.r#rs  r__gt__zCounter.__gt__(r)rct|tstSt}|D]\}}|||z}|dkr|||<|D]\}}||vr|dkr|||<|S)zAdd counts from two counters.

        >>> Counter('abbb') + Counter('bcc')
        Counter({'b': 4, 'c': 2, 'a': 1})

        rrrrrmrrArtrrnewcounts      r__add__zCounter.__add__.s%))	"!!::<<	(	(KD%uT{*H!||'t ;;==	%	%KD%4EAII$t
rct|tstSt}|D]\}}|||z
}|dkr|||<|D]\}}||vr|dkrd|z
||<|S)z Subtract count, but keep only results with positive counts.

        >>> Counter('abbbc') - Counter('bccd')
        Counter({'b': 2, 'a': 1})

        rr0r1s      r__sub__zCounter.__sub__As%))	"!!::<<	(	(KD%uT{*H!||'t ;;==	)	)KD%4EAII 5yt
rct|tstSt}|D]"\}}||}||kr|n|}|dkr|||<#|D]\}}||vr|dkr|||<|S)zUnion is the maximum of value in either of the input counters.

        >>> Counter('abbb') | Counter('bcc')
        Counter({'b': 3, 'c': 2, 'a': 1})

        rr0rrArtrrother_countr2s       rrzCounter.__or__Ts%))	"!!::<<	(	(KD%+K&+k&9&9{{uH!||'t ;;==	%	%KD%4EAII$t
rct|tstSt}|D]"\}}||}||kr|n|}|dkr|||<#|S)z Intersection is the minimum of corresponding counts.

        >>> Counter('abbb') & Counter('bcc')
        Counter({'b': 1})

        rr0r7s       r__and__zCounter.__and__hst%))	"!!::<<	(	(KD%+K % 3 3uuH!||'t
rclt}|D]\}}|dkr|||<|S)zEAdds an empty counter, effectively stripping negative and zero countsrrrmrrtrrs    r__pos__zCounter.__pos__ys>::<<	%	%KD%qyy$t
rcrt}|D]\}}|dkrd|z
||<|S)z{Subtracts from an empty counter.  Strips positive and zero counts,
        and flips the sign on negative counts.

        rr<r=s    r__neg__zCounter.__neg__sD
::<<	)	)KD%qyy 5yt
rcRd|D}|D]}||=|S)z?Internal method to strip elements with a negative or zero countc$g|]
\}}|dk|S)rr$)rrrs   r
<listcomp>z*Counter._keep_positive.<locals>.<listcomp>s!MMMe5199t999r)rm)rnonpositivers   r_keep_positivezCounter._keep_positives:MMtzz||MMM		DT

rc~|D]\}}||xx|z
cc<|S)zInplace add from another counter, keeping only positive counts.

        >>> c = Counter('abbb')
        >>> c += Counter('bcc')
        >>> c
        Counter({'b': 4, 'c': 2, 'a': 1})

        rmrErrArrs    r__iadd__zCounter.__iadd__I!;;==	 	 KD%JJJ%JJJJ""$$$rc~|D]\}}||xx|zcc<|S)zInplace subtract counter, but keep only results with positive counts.

        >>> c = Counter('abbbc')
        >>> c -= Counter('bccd')
        >>> c
        Counter({'b': 2, 'a': 1})

        rGrHs    r__isub__zCounter.__isub__rJrc|D]\}}||}||kr|||<|S)zInplace union is the maximum of value from either counter.

        >>> c = Counter('abbb')
        >>> c |= Counter('bcc')
        >>> c
        Counter({'b': 3, 'c': 2, 'a': 1})

        rG)rrArr8rs     rrzCounter.__ior__sP"'	)	)D+JEU""(T
""$$$rc|D]\}}||}||kr|||<|S)zInplace intersection is the minimum of corresponding counts.

        >>> c = Counter('abbb')
        >>> c &= Counter('bcc')
        >>> c
        Counter({'b': 1})

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