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u�from builtins import property as _property, tuple as _tuple
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from collections import OrderedDict

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    '{typename}({arg_list})'

    __slots__ = ()

    _fields = {field_names!r}

    def __new__(_cls, {arg_list}):
        'Create new instance of {typename}({arg_list})'
        return _tuple.__new__(_cls, ({arg_list}))

    @classmethod
    def _make(cls, iterable, new=tuple.__new__, len=len):
        'Make a new {typename} object from a sequence or iterable'
        result = new(cls, iterable)
        if len(result) != {num_fields:d}:
            raise TypeError('Expected {num_fields:d} arguments, got %d' % len(result))
        return result

    def _replace(_self, **kwds):
        'Return a new {typename} object replacing specified fields with new values'
        result = _self._make(map(kwds.pop, {field_names!r}, _self))
        if kwds:
            raise ValueError('Got unexpected field names: %r' % list(kwds))
        return result

    def __repr__(self):
        'Return a nicely formatted representation string'
        return self.__class__.__name__ + '({repr_fmt})' % self

    @property
    def __dict__(self):
        'A new OrderedDict mapping field names to their values'
        return OrderedDict(zip(self._fields, self))

    def _asdict(self):
        '''Return a new OrderedDict which maps field names to their values.
           This method is obsolete.  Use vars(nt) or nt.__dict__ instead.
        '''
        return self.__dict__

    def __getnewargs__(self):
        'Return self as a plain tuple.  Used by copy and pickle.'
        return tuple(self)

    def __getstate__(self):
        'Exclude the OrderedDict from pickling'
        return None

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d�rU|rUtd|��n||krttd|��n|j|�q&Wt
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d�dd�ddjdd�|D��ddjdd�t|�D���}tdd|�}t||�||}	||	_|r^t|	j�ny%tjd�jjdd�|	_Wnttfk
r�YnX|	S(uCReturns 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 accessable 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)

    u,u u_u_%du8Type names and field names must be valid identifiers: %ru2Type names and field names cannot be a keyword: %ru/Field names cannot start with an underscore: %ru$Encountered duplicate field name: %rutypenameufield_namesu
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utypenameufield_namesuverboseurenameuseenuindexunameuclass_definitionu	namespaceuresult((u9/opt/alt/python33/lib64/python3.3/collections/__init__.pyu
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	%cCs5|j}x%|D]}||d�d||<qWdS(u!Tally elements from the iterable.iiN(uget(umappinguiterableumapping_getuelem((u9/opt/alt/python33/lib64/python3.3/collections/__init__.pyu_count_elements�s	
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dd�Z�fdd�Zdd�Zdd�Zdd�Zdd�Zdd�Zd d!�Zd"d#�Zd$d%�Zd&d'�Zd(d)�Zd*d+�Zd,d-�Z�S(/uCounteru�Dict subclass for counting hashable items.  Sometimes called a bag
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    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)]

    cs!t�j�|j||�dS(u	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(usuperu__init__uupdate(uselfuiterableukwds(u	__class__(u9/opt/alt/python33/lib64/python3.3/collections/__init__.pyu__init__�s
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        [('a', 5), ('b', 4), ('c', 3)]

        ukeyiureverseNT(uNoneusorteduitemsu_itemgetteruTrueu_heapqunlargest(uselfun((u9/opt/alt/python33/lib64/python3.3/collections/__init__.pyumost_common�s	"uCounter.most_commoncCstjtt|j���S(u�Iterator 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
        >>> prime_factors = Counter({2: 2, 3: 3, 17: 1})
        >>> product = 1
        >>> for factor in prime_factors.elements():     # loop over factors
        ...     product *= factor                       # and multiply them
        >>> product
        1836

        Note, if an element's count has been set to zero or is a negative
        number, elements() will ignore it.

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from_iterableu_starmapu_repeatuitems(uself((u9/opt/alt/python33/lib64/python3.3/collections/__init__.pyuelements�suCounter.elementscCstd��dS(Nu@Counter.fromkeys() is undefined.  Use Counter(iterable) instead.(uNotImplementedError(uclsuiterableuv((u9/opt/alt/python33/lib64/python3.3/collections/__init__.pyufromkeys�suCounter.fromkeyscs�|dk	r�t|t�rt|ra|j}xD|j�D]#\}}|||d�||<q7Wq�t�j|�q�t||�n|r�|j|�ndS(u�Like 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

        iN(uNoneu
isinstanceuMappingugetuitemsusuperuupdateu_count_elements(uselfuiterableukwdsuself_getuelemucount(u	__class__(u9/opt/alt/python33/lib64/python3.3/collections/__init__.pyuupdates	uCounter.updatecKs�|dk	r�|j}t|t�r[x\|j�D]#\}}||d�|||<q1Wq�x(|D]}||d�d||<qbWn|r�|j|�ndS(u�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

        iiN(uNoneugetu
isinstanceuMappinguitemsusubtract(uselfuiterableukwdsuself_getuelemucount((u9/opt/alt/python33/lib64/python3.3/collections/__init__.pyusubtract's	
uCounter.subtractcCs
|j|�S(uReturn a shallow copy.(u	__class__(uself((u9/opt/alt/python33/lib64/python3.3/collections/__init__.pyucopyBsuCounter.copycCs|jt|�ffS(N(u	__class__udict(uself((u9/opt/alt/python33/lib64/python3.3/collections/__init__.pyu
__reduce__FsuCounter.__reduce__cs#||krt�j|�ndS(uGLike dict.__delitem__() but does not raise KeyError for missing values.N(usuperu__delitem__(uselfuelem(u	__class__(u9/opt/alt/python33/lib64/python3.3/collections/__init__.pyu__delitem__IsuCounter.__delitem__cCs�|sd|jjSy9djtdj|j���}d|jj|fSWn.tk
r}dj|jjt|��SYnXdS(Nu%s()u, u%r: %ru%s({%s})u
{0}({1!r})(	u	__class__u__name__ujoinumapu__mod__umost_commonu	TypeErroruformatudict(uselfuitems((u9/opt/alt/python33/lib64/python3.3/collections/__init__.pyu__repr__Ns!
uCounter.__repr__cCs�t|t�stSt�}xA|j�D]3\}}|||}|dkr)|||<q)q)Wx?|j�D]1\}}||krm|dkrm|||<qmqmW|S(uAdd counts from two counters.

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

        i(u
isinstanceuCounteruNotImplementeduitems(uselfuotheruresultuelemucountunewcount((u9/opt/alt/python33/lib64/python3.3/collections/__init__.pyu__add__as	uCounter.__add__cCs�t|t�stSt�}xA|j�D]3\}}|||}|dkr)|||<q)q)WxC|j�D]5\}}||krm|dkrmd|||<qmqmW|S(u� Subtract count, but keep only results with positive counts.

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

        i(u
isinstanceuCounteruNotImplementeduitems(uselfuotheruresultuelemucountunewcount((u9/opt/alt/python33/lib64/python3.3/collections/__init__.pyu__sub__ts	uCounter.__sub__cCs�t|t�stSt�}xU|j�D]G\}}||}||krQ|n|}|dkr)|||<q)q)Wx?|j�D]1\}}||kr�|dkr�|||<q�q�W|S(u�Union is the maximum of value in either of the input counters.

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

        i(u
isinstanceuCounteruNotImplementeduitems(uselfuotheruresultuelemucountuother_countunewcount((u9/opt/alt/python33/lib64/python3.3/collections/__init__.pyu__or__�s	
uCounter.__or__cCsxt|t�stSt�}xU|j�D]G\}}||}||krQ|n|}|dkr)|||<q)q)W|S(u� Intersection is the minimum of corresponding counts.

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

        i(u
isinstanceuCounteruNotImplementeduitems(uselfuotheruresultuelemucountuother_countunewcount((u9/opt/alt/python33/lib64/python3.3/collections/__init__.pyu__and__�s	
uCounter.__and__cCs|t�S(uEAdds an empty counter, effectively stripping negative and zero counts(uCounter(uself((u9/opt/alt/python33/lib64/python3.3/collections/__init__.pyu__pos__�suCounter.__pos__cCst�|S(u{Subtracts from an empty counter.  Strips positive and zero counts,
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        (uCounter(uself((u9/opt/alt/python33/lib64/python3.3/collections/__init__.pyu__neg__�suCounter.__neg__cCs5dd�|j�D�}x|D]
}||=q W|S(u?Internal method to strip elements with a negative or zero countcSs(g|]\}}|dks|�qS(i((u.0uelemucount((u9/opt/alt/python33/lib64/python3.3/collections/__init__.pyu
<listcomp>�s	u*Counter._keep_positive.<locals>.<listcomp>(uitems(uselfunonpositiveuelem((u9/opt/alt/python33/lib64/python3.3/collections/__init__.pyu_keep_positive�s
uCounter._keep_positivecCs5x(|j�D]\}}|||7<q
W|j�S(u�Inplace add from another counter, keeping only positive counts.

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

        (uitemsu_keep_positive(uselfuotheruelemucount((u9/opt/alt/python33/lib64/python3.3/collections/__init__.pyu__iadd__�s	uCounter.__iadd__cCs5x(|j�D]\}}|||8<q
W|j�S(u�Inplace subtract counter, but keep only results with positive counts.

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

        (uitemsu_keep_positive(uselfuotheruelemucount((u9/opt/alt/python33/lib64/python3.3/collections/__init__.pyu__isub__�s	uCounter.__isub__cCsJx=|j�D]/\}}||}||kr
|||<q
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W|j�S(u�Inplace union is the maximum of value from either counter.

        >>> c = Counter('abbb')
        >>> c |= Counter('bcc')
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