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			1040 lines
		
	
	
	
		
			39 KiB
		
	
	
	
		
			Python
		
	
	
	
	
	
			
		
		
	
	
			1040 lines
		
	
	
	
		
			39 KiB
		
	
	
	
		
			Python
		
	
	
	
	
	
__all__ = ['deque', 'defaultdict', 'namedtuple', 'UserDict', 'UserList',
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            'UserString', 'Counter', 'OrderedDict']
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# For bootstrapping reasons, the collection ABCs are defined in _abcoll.py.
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# They should however be considered an integral part of collections.py.
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from _abcoll import *
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import _abcoll
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__all__ += _abcoll.__all__
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from _collections import deque, defaultdict
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from operator import itemgetter as _itemgetter
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from keyword import iskeyword as _iskeyword
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import sys as _sys
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import heapq as _heapq
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from weakref import proxy as _proxy
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from itertools import repeat as _repeat, chain as _chain, starmap as _starmap
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from reprlib import recursive_repr as _recursive_repr
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################################################################################
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### OrderedDict
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################################################################################
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class _Link(object):
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    __slots__ = 'prev', 'next', 'key', '__weakref__'
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class OrderedDict(dict):
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    'Dictionary that remembers insertion order'
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    # An inherited dict maps keys to values.
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    # The inherited dict provides __getitem__, __len__, __contains__, and get.
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    # The remaining methods are order-aware.
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    # Big-O running times for all methods are the same as for regular dictionaries.
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    # The internal self.__map dictionary maps keys to links in a doubly linked list.
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    # The circular doubly linked list starts and ends with a sentinel element.
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    # The sentinel element never gets deleted (this simplifies the algorithm).
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    # The sentinel is stored in self.__hardroot with a weakref proxy in self.__root.
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    # The prev/next links are weakref proxies (to prevent circular references).
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    # Individual links are kept alive by the hard reference in self.__map.
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    # Those hard references disappear when a key is deleted from an OrderedDict.
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    def __init__(self, *args, **kwds):
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        '''Initialize an ordered dictionary.  Signature is the same as for
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        regular dictionaries, but keyword arguments are not recommended
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        because their insertion order is arbitrary.
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        '''
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        if len(args) > 1:
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            raise TypeError('expected at most 1 arguments, got %d' % len(args))
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        try:
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            self.__root
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        except AttributeError:
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            self.__hardroot = _Link()
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            self.__root = root = _proxy(self.__hardroot)
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            root.prev = root.next = root
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            self.__map = {}
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        self.__update(*args, **kwds)
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    def __setitem__(self, key, value,
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                    dict_setitem=dict.__setitem__, proxy=_proxy, Link=_Link):
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        'od.__setitem__(i, y) <==> od[i]=y'
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        # Setting a new item creates a new link which goes at the end of the linked
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        # list, and the inherited dictionary is updated with the new key/value pair.
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        if key not in self:
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            self.__map[key] = link = Link()
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            root = self.__root
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            last = root.prev
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            link.prev, link.next, link.key = last, root, key
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            last.next = link
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            root.prev = proxy(link)
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        dict_setitem(self, key, value)
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    def __delitem__(self, key, dict_delitem=dict.__delitem__):
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        'od.__delitem__(y) <==> del od[y]'
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        # Deleting an existing item uses self.__map to find the link which is
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        # then removed by updating the links in the predecessor and successor nodes.
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        dict_delitem(self, key)
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        link = self.__map.pop(key)
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        link_prev = link.prev
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        link_next = link.next
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        link_prev.next = link_next
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        link_next.prev = link_prev
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    def __iter__(self):
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        'od.__iter__() <==> iter(od)'
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        # Traverse the linked list in order.
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        root = self.__root
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        curr = root.next
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        while curr is not root:
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            yield curr.key
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            curr = curr.next
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    def __reversed__(self):
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        'od.__reversed__() <==> reversed(od)'
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        # Traverse the linked list in reverse order.
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        root = self.__root
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        curr = root.prev
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        while curr is not root:
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            yield curr.key
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            curr = curr.prev
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    def clear(self):
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        'od.clear() -> None.  Remove all items from od.'
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        root = self.__root
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        root.prev = root.next = root
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        self.__map.clear()
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        dict.clear(self)
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    def popitem(self, last=True):
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        '''od.popitem() -> (k, v), return and remove a (key, value) pair.
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        Pairs are returned in LIFO order if last is true or FIFO order if false.
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        '''
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        if not self:
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            raise KeyError('dictionary is empty')
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        root = self.__root
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        if last:
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            link = root.prev
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            link_prev = link.prev
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            link_prev.next = root
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            root.prev = link_prev
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        else:
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            link = root.next
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            link_next = link.next
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            root.next = link_next
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            link_next.prev = root
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        key = link.key
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        del self.__map[key]
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        value = dict.pop(self, key)
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        return key, value
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    def move_to_end(self, key, last=True):
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        '''Move an existing element to the end (or beginning if last==False).
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        Raises KeyError if the element does not exist.
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        When last=True, acts like a fast version of self[key]=self.pop(key).
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        '''
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        link = self.__map[key]
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        link_prev = link.prev
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        link_next = link.next
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        link_prev.next = link_next
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        link_next.prev = link_prev
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        root = self.__root
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        if last:
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            last = root.prev
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            link.prev = last
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            link.next = root
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            last.next = root.prev = link
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        else:
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            first = root.next
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            link.prev = root
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            link.next = first
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            root.next = first.prev = link
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    def __reduce__(self):
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        'Return state information for pickling'
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        items = [[k, self[k]] for k in self]
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        tmp = self.__map, self.__root, self.__hardroot
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        del self.__map, self.__root, self.__hardroot
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        inst_dict = vars(self).copy()
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        self.__map, self.__root, self.__hardroot = tmp
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        if inst_dict:
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            return (self.__class__, (items,), inst_dict)
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        return self.__class__, (items,)
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    def __sizeof__(self):
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        sizeof = _sys.getsizeof
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        n = len(self) + 1                       # number of links including root
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        size = sizeof(self.__dict__)            # instance dictionary
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        size += sizeof(self.__map) * 2          # internal dict and inherited dict
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        size += sizeof(self.__hardroot) * n     # link objects
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        size += sizeof(self.__root) * n         # proxy objects
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        return size
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    update = __update = MutableMapping.update
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    keys = MutableMapping.keys
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    values = MutableMapping.values
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    items = MutableMapping.items
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    __ne__ = MutableMapping.__ne__
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    __marker = object()
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    def pop(self, key, default=__marker):
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        if key in self:
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            result = self[key]
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            del self[key]
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            return result
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        if default is self.__marker:
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            raise KeyError(key)
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        return default
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    def setdefault(self, key, default=None):
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        'OD.setdefault(k[,d]) -> OD.get(k,d), also set OD[k]=d if k not in OD'
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        if key in self:
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            return self[key]
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        self[key] = default
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        return default
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    @_recursive_repr()
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    def __repr__(self):
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        'od.__repr__() <==> repr(od)'
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        if not self:
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            return '%s()' % (self.__class__.__name__,)
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        return '%s(%r)' % (self.__class__.__name__, list(self.items()))
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    def copy(self):
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        'od.copy() -> a shallow copy of od'
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        return self.__class__(self)
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    @classmethod
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    def fromkeys(cls, iterable, value=None):
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        '''OD.fromkeys(S[, v]) -> New ordered dictionary with keys from S
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        and values equal to v (which defaults to None).
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        '''
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        d = cls()
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        for key in iterable:
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            d[key] = value
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        return d
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    def __eq__(self, other):
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        '''od.__eq__(y) <==> od==y.  Comparison to another OD is order-sensitive
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        while comparison to a regular mapping is order-insensitive.
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        '''
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        if isinstance(other, OrderedDict):
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            return len(self)==len(other) and \
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                   all(p==q for p, q in zip(self.items(), other.items()))
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        return dict.__eq__(self, other)
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################################################################################
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### namedtuple
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################################################################################
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def namedtuple(typename, field_names, verbose=False, rename=False):
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    """Returns a new subclass of tuple with named fields.
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    >>> Point = namedtuple('Point', 'x y')
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    >>> Point.__doc__                   # docstring for the new class
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    'Point(x, y)'
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    >>> p = Point(11, y=22)             # instantiate with positional args or keywords
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    >>> p[0] + p[1]                     # indexable like a plain tuple
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    33
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    >>> x, y = p                        # unpack like a regular tuple
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    >>> x, y
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    (11, 22)
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    >>> p.x + p.y                       # fields also accessable by name
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    33
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    >>> d = p._asdict()                 # convert to a dictionary
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    >>> d['x']
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    11
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    >>> Point(**d)                      # convert from a dictionary
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    Point(x=11, y=22)
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    >>> p._replace(x=100)               # _replace() is like str.replace() but targets named fields
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    Point(x=100, y=22)
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    """
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    # Parse and validate the field names.  Validation serves two purposes,
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    # generating informative error messages and preventing template injection attacks.
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    if isinstance(field_names, str):
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        field_names = field_names.replace(',', ' ').split() # names separated by whitespace and/or commas
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    field_names = tuple(map(str, field_names))
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    if rename:
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        names = list(field_names)
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        seen = set()
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        for i, name in enumerate(names):
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            if (not all(c.isalnum() or c=='_' for c in name) or _iskeyword(name)
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                or not name or name[0].isdigit() or name.startswith('_')
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                or name in seen):
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                names[i] = '_%d' % i
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            seen.add(name)
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        field_names = tuple(names)
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    for name in (typename,) + field_names:
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        if not all(c.isalnum() or c=='_' for c in name):
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            raise ValueError('Type names and field names can only contain alphanumeric characters and underscores: %r' % name)
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        if _iskeyword(name):
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            raise ValueError('Type names and field names cannot be a keyword: %r' % name)
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        if name[0].isdigit():
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            raise ValueError('Type names and field names cannot start with a number: %r' % name)
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    seen_names = set()
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    for name in field_names:
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        if name.startswith('_') and not rename:
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            raise ValueError('Field names cannot start with an underscore: %r' % name)
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        if name in seen_names:
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            raise ValueError('Encountered duplicate field name: %r' % name)
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        seen_names.add(name)
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    # Create and fill-in the class template
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    numfields = len(field_names)
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    argtxt = repr(field_names).replace("'", "")[1:-1]   # tuple repr without parens or quotes
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    reprtxt = ', '.join('%s=%%r' % name for name in field_names)
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    template = '''class %(typename)s(tuple):
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        '%(typename)s(%(argtxt)s)' \n
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        __slots__ = () \n
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        _fields = %(field_names)r \n
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        def __new__(_cls, %(argtxt)s):
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            'Create new instance of %(typename)s(%(argtxt)s)'
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            return _tuple.__new__(_cls, (%(argtxt)s)) \n
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        @classmethod
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        def _make(cls, iterable, new=tuple.__new__, len=len):
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            'Make a new %(typename)s object from a sequence or iterable'
 | 
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            result = new(cls, iterable)
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            if len(result) != %(numfields)d:
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                raise TypeError('Expected %(numfields)d arguments, got %%d' %% len(result))
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            return result \n
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        def __repr__(self):
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            'Return a nicely formatted representation string'
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            return self.__class__.__name__ + '(%(reprtxt)s)' %% self \n
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        def _asdict(self):
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            'Return a new OrderedDict which maps field names to their values'
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            return OrderedDict(zip(self._fields, self)) \n
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        def _replace(_self, **kwds):
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            'Return a new %(typename)s object replacing specified fields with new values'
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            result = _self._make(map(kwds.pop, %(field_names)r, _self))
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            if kwds:
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                raise ValueError('Got unexpected field names: %%r' %% kwds.keys())
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            return result \n
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        def __getnewargs__(self):
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            'Return self as a plain tuple.  Used by copy and pickle.'
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            return tuple(self) \n\n''' % locals()
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    for i, name in enumerate(field_names):
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        template += "        %s = _property(_itemgetter(%d), doc='Alias for field number %d')\n" % (name, i, i)
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    if verbose:
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        print(template)
 | 
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 | 
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    # Execute the template string in a temporary namespace and
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    # support tracing utilities by setting a value for frame.f_globals['__name__']
 | 
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    namespace = dict(_itemgetter=_itemgetter, __name__='namedtuple_%s' % typename,
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                     OrderedDict=OrderedDict, _property=property, _tuple=tuple)
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    try:
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        exec(template, namespace)
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    except SyntaxError as e:
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        raise SyntaxError(e.msg + ':\n\n' + template)
 | 
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    result = namespace[typename]
 | 
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 | 
						|
    # For pickling to work, the __module__ variable needs to be set to the frame
 | 
						|
    # where the named tuple is created.  Bypass this step in enviroments where
 | 
						|
    # sys._getframe is not defined (Jython for example) or sys._getframe is not
 | 
						|
    # defined for arguments greater than 0 (IronPython).
 | 
						|
    try:
 | 
						|
        result.__module__ = _sys._getframe(1).f_globals.get('__name__', '__main__')
 | 
						|
    except (AttributeError, ValueError):
 | 
						|
        pass
 | 
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 | 
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    return result
 | 
						|
 | 
						|
 | 
						|
########################################################################
 | 
						|
###  Counter
 | 
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########################################################################
 | 
						|
 | 
						|
def _count_elements(mapping, iterable):
 | 
						|
    'Tally elements from the iterable.'
 | 
						|
    mapping_get = mapping.get
 | 
						|
    for elem in iterable:
 | 
						|
        mapping[elem] = mapping_get(elem, 0) + 1
 | 
						|
 | 
						|
try:                                    # Load C helper function if available
 | 
						|
    from _collections import _count_elements
 | 
						|
except ImportError:
 | 
						|
    pass
 | 
						|
 | 
						|
class Counter(dict):
 | 
						|
    '''Dict 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)]
 | 
						|
 | 
						|
    '''
 | 
						|
    # References:
 | 
						|
    #   http://en.wikipedia.org/wiki/Multiset
 | 
						|
    #   http://www.gnu.org/software/smalltalk/manual-base/html_node/Bag.html
 | 
						|
    #   http://www.demo2s.com/Tutorial/Cpp/0380__set-multiset/Catalog0380__set-multiset.htm
 | 
						|
    #   http://code.activestate.com/recipes/259174/
 | 
						|
    #   Knuth, TAOCP Vol. II section 4.6.3
 | 
						|
 | 
						|
    def __init__(self, iterable=None, **kwds):
 | 
						|
        '''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
 | 
						|
 | 
						|
        '''
 | 
						|
        super().__init__()
 | 
						|
        self.update(iterable, **kwds)
 | 
						|
 | 
						|
    def __missing__(self, key):
 | 
						|
        'The count of elements not in the Counter is zero.'
 | 
						|
        # Needed so that self[missing_item] does not raise KeyError
 | 
						|
        return 0
 | 
						|
 | 
						|
    def most_common(self, n=None):
 | 
						|
        '''List 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('abcdeabcdabcaba').most_common(3)
 | 
						|
        [('a', 5), ('b', 4), ('c', 3)]
 | 
						|
 | 
						|
        '''
 | 
						|
        # Emulate Bag.sortedByCount from Smalltalk
 | 
						|
        if n is None:
 | 
						|
            return sorted(self.items(), key=_itemgetter(1), reverse=True)
 | 
						|
        return _heapq.nlargest(n, self.items(), key=_itemgetter(1))
 | 
						|
 | 
						|
    def elements(self):
 | 
						|
        '''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.
 | 
						|
 | 
						|
        '''
 | 
						|
        # Emulate Bag.do from Smalltalk and Multiset.begin from C++.
 | 
						|
        return _chain.from_iterable(_starmap(_repeat, self.items()))
 | 
						|
 | 
						|
    # Override dict methods where necessary
 | 
						|
 | 
						|
    @classmethod
 | 
						|
    def fromkeys(cls, iterable, v=None):
 | 
						|
        # There is no equivalent method for counters because setting v=1
 | 
						|
        # means that no element can have a count greater than one.
 | 
						|
        raise NotImplementedError(
 | 
						|
            'Counter.fromkeys() is undefined.  Use Counter(iterable) instead.')
 | 
						|
 | 
						|
    def update(self, iterable=None, **kwds):
 | 
						|
        '''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
 | 
						|
 | 
						|
        '''
 | 
						|
        # The regular dict.update() operation makes no sense here because the
 | 
						|
        # replace behavior results in the some of original untouched counts
 | 
						|
        # being mixed-in with all of the other counts for a mismash that
 | 
						|
        # doesn't have a straight-forward interpretation in most counting
 | 
						|
        # contexts.  Instead, we implement straight-addition.  Both the inputs
 | 
						|
        # and outputs are allowed to contain zero and negative counts.
 | 
						|
 | 
						|
        if iterable is not None:
 | 
						|
            if isinstance(iterable, Mapping):
 | 
						|
                if self:
 | 
						|
                    self_get = self.get
 | 
						|
                    for elem, count in iterable.items():
 | 
						|
                        self[elem] = count + self_get(elem, 0)
 | 
						|
                else:
 | 
						|
                    super().update(iterable) # fast path when counter is empty
 | 
						|
            else:
 | 
						|
                _count_elements(self, iterable)
 | 
						|
        if kwds:
 | 
						|
            self.update(kwds)
 | 
						|
 | 
						|
    def subtract(self, iterable=None, **kwds):
 | 
						|
        '''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
 | 
						|
 | 
						|
        '''
 | 
						|
        if iterable is not None:
 | 
						|
            self_get = self.get
 | 
						|
            if isinstance(iterable, Mapping):
 | 
						|
                for elem, count in iterable.items():
 | 
						|
                    self[elem] = self_get(elem, 0) - count
 | 
						|
            else:
 | 
						|
                for elem in iterable:
 | 
						|
                    self[elem] = self_get(elem, 0) - 1
 | 
						|
        if kwds:
 | 
						|
            self.subtract(kwds)
 | 
						|
 | 
						|
    def copy(self):
 | 
						|
        'Like dict.copy() but returns a Counter instance instead of a dict.'
 | 
						|
        return Counter(self)
 | 
						|
 | 
						|
    def __reduce__(self):
 | 
						|
        return self.__class__, (dict(self),)
 | 
						|
 | 
						|
    def __delitem__(self, elem):
 | 
						|
        'Like dict.__delitem__() but does not raise KeyError for missing values.'
 | 
						|
        if elem in self:
 | 
						|
            super().__delitem__(elem)
 | 
						|
 | 
						|
    def __repr__(self):
 | 
						|
        if not self:
 | 
						|
            return '%s()' % self.__class__.__name__
 | 
						|
        items = ', '.join(map('%r: %r'.__mod__, self.most_common()))
 | 
						|
        return '%s({%s})' % (self.__class__.__name__, items)
 | 
						|
 | 
						|
    # Multiset-style mathematical operations discussed in:
 | 
						|
    #       Knuth TAOCP Volume II section 4.6.3 exercise 19
 | 
						|
    #       and at http://en.wikipedia.org/wiki/Multiset
 | 
						|
    #
 | 
						|
    # Outputs guaranteed to only include positive counts.
 | 
						|
    #
 | 
						|
    # To strip negative and zero counts, add-in an empty counter:
 | 
						|
    #       c += Counter()
 | 
						|
 | 
						|
    def __add__(self, other):
 | 
						|
        '''Add counts from two counters.
 | 
						|
 | 
						|
        >>> Counter('abbb') + Counter('bcc')
 | 
						|
        Counter({'b': 4, 'c': 2, 'a': 1})
 | 
						|
 | 
						|
        '''
 | 
						|
        if not isinstance(other, Counter):
 | 
						|
            return NotImplemented
 | 
						|
        result = Counter()
 | 
						|
        for elem in set(self) | set(other):
 | 
						|
            newcount = self[elem] + other[elem]
 | 
						|
            if newcount > 0:
 | 
						|
                result[elem] = newcount
 | 
						|
        return result
 | 
						|
 | 
						|
    def __sub__(self, other):
 | 
						|
        ''' Subtract count, but keep only results with positive counts.
 | 
						|
 | 
						|
        >>> Counter('abbbc') - Counter('bccd')
 | 
						|
        Counter({'b': 2, 'a': 1})
 | 
						|
 | 
						|
        '''
 | 
						|
        if not isinstance(other, Counter):
 | 
						|
            return NotImplemented
 | 
						|
        result = Counter()
 | 
						|
        for elem in set(self) | set(other):
 | 
						|
            newcount = self[elem] - other[elem]
 | 
						|
            if newcount > 0:
 | 
						|
                result[elem] = newcount
 | 
						|
        return result
 | 
						|
 | 
						|
    def __or__(self, other):
 | 
						|
        '''Union is the maximum of value in either of the input counters.
 | 
						|
 | 
						|
        >>> Counter('abbb') | Counter('bcc')
 | 
						|
        Counter({'b': 3, 'c': 2, 'a': 1})
 | 
						|
 | 
						|
        '''
 | 
						|
        if not isinstance(other, Counter):
 | 
						|
            return NotImplemented
 | 
						|
        result = Counter()
 | 
						|
        for elem in set(self) | set(other):
 | 
						|
            p, q = self[elem], other[elem]
 | 
						|
            newcount = q if p < q else p
 | 
						|
            if newcount > 0:
 | 
						|
                result[elem] = newcount
 | 
						|
        return result
 | 
						|
 | 
						|
    def __and__(self, other):
 | 
						|
        ''' Intersection is the minimum of corresponding counts.
 | 
						|
 | 
						|
        >>> Counter('abbb') & Counter('bcc')
 | 
						|
        Counter({'b': 1})
 | 
						|
 | 
						|
        '''
 | 
						|
        if not isinstance(other, Counter):
 | 
						|
            return NotImplemented
 | 
						|
        result = Counter()
 | 
						|
        if len(self) < len(other):
 | 
						|
            self, other = other, self
 | 
						|
        for elem in filter(self.__contains__, other):
 | 
						|
            p, q = self[elem], other[elem]
 | 
						|
            newcount = p if p < q else q
 | 
						|
            if newcount > 0:
 | 
						|
                result[elem] = newcount
 | 
						|
        return result
 | 
						|
 | 
						|
 | 
						|
########################################################################
 | 
						|
###  ChainMap (helper for configparser)
 | 
						|
########################################################################
 | 
						|
 | 
						|
class _ChainMap(MutableMapping):
 | 
						|
    ''' A ChainMap groups multiple dicts (or other mappings) together
 | 
						|
    to create a single, updateable view.
 | 
						|
 | 
						|
    The underlying mappings are stored in a list.  That list is public and can
 | 
						|
    accessed or updated using the *maps* attribute.  There is no other state.
 | 
						|
 | 
						|
    Lookups search the underlying mappings successively until a key is found.
 | 
						|
    In contrast, writes, updates, and deletions only operate on the first
 | 
						|
    mapping.
 | 
						|
 | 
						|
    '''
 | 
						|
 | 
						|
    def __init__(self, *maps):
 | 
						|
        '''Initialize a ChainMap by setting *maps* to the given mappings.
 | 
						|
        If no mappings are provided, a single empty dictionary is used.
 | 
						|
 | 
						|
        '''
 | 
						|
        self.maps = list(maps) or [{}]          # always at least one map
 | 
						|
 | 
						|
    def __missing__(self, key):
 | 
						|
        raise KeyError(key)
 | 
						|
 | 
						|
    def __getitem__(self, key):
 | 
						|
        for mapping in self.maps:
 | 
						|
            try:
 | 
						|
                return mapping[key]             # can't use 'key in mapping' with defaultdict
 | 
						|
            except KeyError:
 | 
						|
                pass
 | 
						|
        return self.__missing__(key)            # support subclasses that define __missing__
 | 
						|
 | 
						|
    def get(self, key, default=None):
 | 
						|
        return self[key] if key in self else default
 | 
						|
 | 
						|
    def __len__(self):
 | 
						|
        return len(set().union(*self.maps))     # reuses stored hash values if possible
 | 
						|
 | 
						|
    def __iter__(self):
 | 
						|
        return iter(set().union(*self.maps))
 | 
						|
 | 
						|
    def __contains__(self, key):
 | 
						|
        return any(key in m for m in self.maps)
 | 
						|
 | 
						|
    @_recursive_repr()
 | 
						|
    def __repr__(self):
 | 
						|
        return '{0.__class__.__name__}({1})'.format(
 | 
						|
            self, ', '.join(map(repr, self.maps)))
 | 
						|
 | 
						|
    @classmethod
 | 
						|
    def fromkeys(cls, iterable, *args):
 | 
						|
        'Create a ChainMap with a single dict created from the iterable.'
 | 
						|
        return cls(dict.fromkeys(iterable, *args))
 | 
						|
 | 
						|
    def copy(self):
 | 
						|
        'New ChainMap or subclass with a new copy of maps[0] and refs to maps[1:]'
 | 
						|
        return self.__class__(self.maps[0].copy(), *self.maps[1:])
 | 
						|
 | 
						|
    __copy__ = copy
 | 
						|
 | 
						|
    def new_child(self):                        # like Django's Context.push()
 | 
						|
        'New ChainMap with a new dict followed by all previous maps.'
 | 
						|
        return self.__class__({}, *self.maps)
 | 
						|
 | 
						|
    @property
 | 
						|
    def parents(self):                          # like Django's Context.pop()
 | 
						|
        'New ChainMap from maps[1:].'
 | 
						|
        return self.__class__(*self.maps[1:])
 | 
						|
 | 
						|
    def __setitem__(self, key, value):
 | 
						|
        self.maps[0][key] = value
 | 
						|
 | 
						|
    def __delitem__(self, key):
 | 
						|
        try:
 | 
						|
            del self.maps[0][key]
 | 
						|
        except KeyError:
 | 
						|
            raise KeyError('Key not found in the first mapping: {!r}'.format(key))
 | 
						|
 | 
						|
    def popitem(self):
 | 
						|
        'Remove and return an item pair from maps[0]. Raise KeyError is maps[0] is empty.'
 | 
						|
        try:
 | 
						|
            return self.maps[0].popitem()
 | 
						|
        except KeyError:
 | 
						|
            raise KeyError('No keys found in the first mapping.')
 | 
						|
 | 
						|
    def pop(self, key, *args):
 | 
						|
        'Remove *key* from maps[0] and return its value. Raise KeyError if *key* not in maps[0].'
 | 
						|
        try:
 | 
						|
            return self.maps[0].pop(key, *args)
 | 
						|
        except KeyError:
 | 
						|
            raise KeyError('Key not found in the first mapping: {!r}'.format(key))
 | 
						|
 | 
						|
    def clear(self):
 | 
						|
        'Clear maps[0], leaving maps[1:] intact.'
 | 
						|
        self.maps[0].clear()
 | 
						|
 | 
						|
 | 
						|
################################################################################
 | 
						|
### UserDict
 | 
						|
################################################################################
 | 
						|
 | 
						|
class UserDict(MutableMapping):
 | 
						|
 | 
						|
    # Start by filling-out the abstract methods
 | 
						|
    def __init__(self, dict=None, **kwargs):
 | 
						|
        self.data = {}
 | 
						|
        if dict is not None:
 | 
						|
            self.update(dict)
 | 
						|
        if len(kwargs):
 | 
						|
            self.update(kwargs)
 | 
						|
    def __len__(self): return len(self.data)
 | 
						|
    def __getitem__(self, key):
 | 
						|
        if key in self.data:
 | 
						|
            return self.data[key]
 | 
						|
        if hasattr(self.__class__, "__missing__"):
 | 
						|
            return self.__class__.__missing__(self, key)
 | 
						|
        raise KeyError(key)
 | 
						|
    def __setitem__(self, key, item): self.data[key] = item
 | 
						|
    def __delitem__(self, key): del self.data[key]
 | 
						|
    def __iter__(self):
 | 
						|
        return iter(self.data)
 | 
						|
 | 
						|
    # Modify __contains__ to work correctly when __missing__ is present
 | 
						|
    def __contains__(self, key):
 | 
						|
        return key in self.data
 | 
						|
 | 
						|
    # Now, add the methods in dicts but not in MutableMapping
 | 
						|
    def __repr__(self): return repr(self.data)
 | 
						|
    def copy(self):
 | 
						|
        if self.__class__ is UserDict:
 | 
						|
            return UserDict(self.data.copy())
 | 
						|
        import copy
 | 
						|
        data = self.data
 | 
						|
        try:
 | 
						|
            self.data = {}
 | 
						|
            c = copy.copy(self)
 | 
						|
        finally:
 | 
						|
            self.data = data
 | 
						|
        c.update(self)
 | 
						|
        return c
 | 
						|
    @classmethod
 | 
						|
    def fromkeys(cls, iterable, value=None):
 | 
						|
        d = cls()
 | 
						|
        for key in iterable:
 | 
						|
            d[key] = value
 | 
						|
        return d
 | 
						|
 | 
						|
 | 
						|
 | 
						|
################################################################################
 | 
						|
### UserList
 | 
						|
################################################################################
 | 
						|
 | 
						|
class UserList(MutableSequence):
 | 
						|
    """A more or less complete user-defined wrapper around list objects."""
 | 
						|
    def __init__(self, initlist=None):
 | 
						|
        self.data = []
 | 
						|
        if initlist is not None:
 | 
						|
            # XXX should this accept an arbitrary sequence?
 | 
						|
            if type(initlist) == type(self.data):
 | 
						|
                self.data[:] = initlist
 | 
						|
            elif isinstance(initlist, UserList):
 | 
						|
                self.data[:] = initlist.data[:]
 | 
						|
            else:
 | 
						|
                self.data = list(initlist)
 | 
						|
    def __repr__(self): return repr(self.data)
 | 
						|
    def __lt__(self, other): return self.data <  self.__cast(other)
 | 
						|
    def __le__(self, other): return self.data <= self.__cast(other)
 | 
						|
    def __eq__(self, other): return self.data == self.__cast(other)
 | 
						|
    def __ne__(self, other): return self.data != self.__cast(other)
 | 
						|
    def __gt__(self, other): return self.data >  self.__cast(other)
 | 
						|
    def __ge__(self, other): return self.data >= self.__cast(other)
 | 
						|
    def __cast(self, other):
 | 
						|
        return other.data if isinstance(other, UserList) else other
 | 
						|
    def __contains__(self, item): return item in self.data
 | 
						|
    def __len__(self): return len(self.data)
 | 
						|
    def __getitem__(self, i): return self.data[i]
 | 
						|
    def __setitem__(self, i, item): self.data[i] = item
 | 
						|
    def __delitem__(self, i): del self.data[i]
 | 
						|
    def __add__(self, other):
 | 
						|
        if isinstance(other, UserList):
 | 
						|
            return self.__class__(self.data + other.data)
 | 
						|
        elif isinstance(other, type(self.data)):
 | 
						|
            return self.__class__(self.data + other)
 | 
						|
        return self.__class__(self.data + list(other))
 | 
						|
    def __radd__(self, other):
 | 
						|
        if isinstance(other, UserList):
 | 
						|
            return self.__class__(other.data + self.data)
 | 
						|
        elif isinstance(other, type(self.data)):
 | 
						|
            return self.__class__(other + self.data)
 | 
						|
        return self.__class__(list(other) + self.data)
 | 
						|
    def __iadd__(self, other):
 | 
						|
        if isinstance(other, UserList):
 | 
						|
            self.data += other.data
 | 
						|
        elif isinstance(other, type(self.data)):
 | 
						|
            self.data += other
 | 
						|
        else:
 | 
						|
            self.data += list(other)
 | 
						|
        return self
 | 
						|
    def __mul__(self, n):
 | 
						|
        return self.__class__(self.data*n)
 | 
						|
    __rmul__ = __mul__
 | 
						|
    def __imul__(self, n):
 | 
						|
        self.data *= n
 | 
						|
        return self
 | 
						|
    def append(self, item): self.data.append(item)
 | 
						|
    def insert(self, i, item): self.data.insert(i, item)
 | 
						|
    def pop(self, i=-1): return self.data.pop(i)
 | 
						|
    def remove(self, item): self.data.remove(item)
 | 
						|
    def count(self, item): return self.data.count(item)
 | 
						|
    def index(self, item, *args): return self.data.index(item, *args)
 | 
						|
    def reverse(self): self.data.reverse()
 | 
						|
    def sort(self, *args, **kwds): self.data.sort(*args, **kwds)
 | 
						|
    def extend(self, other):
 | 
						|
        if isinstance(other, UserList):
 | 
						|
            self.data.extend(other.data)
 | 
						|
        else:
 | 
						|
            self.data.extend(other)
 | 
						|
 | 
						|
 | 
						|
 | 
						|
################################################################################
 | 
						|
### UserString
 | 
						|
################################################################################
 | 
						|
 | 
						|
class UserString(Sequence):
 | 
						|
    def __init__(self, seq):
 | 
						|
        if isinstance(seq, str):
 | 
						|
            self.data = seq
 | 
						|
        elif isinstance(seq, UserString):
 | 
						|
            self.data = seq.data[:]
 | 
						|
        else:
 | 
						|
            self.data = str(seq)
 | 
						|
    def __str__(self): return str(self.data)
 | 
						|
    def __repr__(self): return repr(self.data)
 | 
						|
    def __int__(self): return int(self.data)
 | 
						|
    def __float__(self): return float(self.data)
 | 
						|
    def __complex__(self): return complex(self.data)
 | 
						|
    def __hash__(self): return hash(self.data)
 | 
						|
 | 
						|
    def __eq__(self, string):
 | 
						|
        if isinstance(string, UserString):
 | 
						|
            return self.data == string.data
 | 
						|
        return self.data == string
 | 
						|
    def __ne__(self, string):
 | 
						|
        if isinstance(string, UserString):
 | 
						|
            return self.data != string.data
 | 
						|
        return self.data != string
 | 
						|
    def __lt__(self, string):
 | 
						|
        if isinstance(string, UserString):
 | 
						|
            return self.data < string.data
 | 
						|
        return self.data < string
 | 
						|
    def __le__(self, string):
 | 
						|
        if isinstance(string, UserString):
 | 
						|
            return self.data <= string.data
 | 
						|
        return self.data <= string
 | 
						|
    def __gt__(self, string):
 | 
						|
        if isinstance(string, UserString):
 | 
						|
            return self.data > string.data
 | 
						|
        return self.data > string
 | 
						|
    def __ge__(self, string):
 | 
						|
        if isinstance(string, UserString):
 | 
						|
            return self.data >= string.data
 | 
						|
        return self.data >= string
 | 
						|
 | 
						|
    def __contains__(self, char):
 | 
						|
        if isinstance(char, UserString):
 | 
						|
            char = char.data
 | 
						|
        return char in self.data
 | 
						|
 | 
						|
    def __len__(self): return len(self.data)
 | 
						|
    def __getitem__(self, index): return self.__class__(self.data[index])
 | 
						|
    def __add__(self, other):
 | 
						|
        if isinstance(other, UserString):
 | 
						|
            return self.__class__(self.data + other.data)
 | 
						|
        elif isinstance(other, str):
 | 
						|
            return self.__class__(self.data + other)
 | 
						|
        return self.__class__(self.data + str(other))
 | 
						|
    def __radd__(self, other):
 | 
						|
        if isinstance(other, str):
 | 
						|
            return self.__class__(other + self.data)
 | 
						|
        return self.__class__(str(other) + self.data)
 | 
						|
    def __mul__(self, n):
 | 
						|
        return self.__class__(self.data*n)
 | 
						|
    __rmul__ = __mul__
 | 
						|
    def __mod__(self, args):
 | 
						|
        return self.__class__(self.data % args)
 | 
						|
 | 
						|
    # the following methods are defined in alphabetical order:
 | 
						|
    def capitalize(self): return self.__class__(self.data.capitalize())
 | 
						|
    def center(self, width, *args):
 | 
						|
        return self.__class__(self.data.center(width, *args))
 | 
						|
    def count(self, sub, start=0, end=_sys.maxsize):
 | 
						|
        if isinstance(sub, UserString):
 | 
						|
            sub = sub.data
 | 
						|
        return self.data.count(sub, start, end)
 | 
						|
    def encode(self, encoding=None, errors=None): # XXX improve this?
 | 
						|
        if encoding:
 | 
						|
            if errors:
 | 
						|
                return self.__class__(self.data.encode(encoding, errors))
 | 
						|
            return self.__class__(self.data.encode(encoding))
 | 
						|
        return self.__class__(self.data.encode())
 | 
						|
    def endswith(self, suffix, start=0, end=_sys.maxsize):
 | 
						|
        return self.data.endswith(suffix, start, end)
 | 
						|
    def expandtabs(self, tabsize=8):
 | 
						|
        return self.__class__(self.data.expandtabs(tabsize))
 | 
						|
    def find(self, sub, start=0, end=_sys.maxsize):
 | 
						|
        if isinstance(sub, UserString):
 | 
						|
            sub = sub.data
 | 
						|
        return self.data.find(sub, start, end)
 | 
						|
    def format(self, *args, **kwds):
 | 
						|
        return self.data.format(*args, **kwds)
 | 
						|
    def index(self, sub, start=0, end=_sys.maxsize):
 | 
						|
        return self.data.index(sub, start, end)
 | 
						|
    def isalpha(self): return self.data.isalpha()
 | 
						|
    def isalnum(self): return self.data.isalnum()
 | 
						|
    def isdecimal(self): return self.data.isdecimal()
 | 
						|
    def isdigit(self): return self.data.isdigit()
 | 
						|
    def isidentifier(self): return self.data.isidentifier()
 | 
						|
    def islower(self): return self.data.islower()
 | 
						|
    def isnumeric(self): return self.data.isnumeric()
 | 
						|
    def isspace(self): return self.data.isspace()
 | 
						|
    def istitle(self): return self.data.istitle()
 | 
						|
    def isupper(self): return self.data.isupper()
 | 
						|
    def join(self, seq): return self.data.join(seq)
 | 
						|
    def ljust(self, width, *args):
 | 
						|
        return self.__class__(self.data.ljust(width, *args))
 | 
						|
    def lower(self): return self.__class__(self.data.lower())
 | 
						|
    def lstrip(self, chars=None): return self.__class__(self.data.lstrip(chars))
 | 
						|
    def partition(self, sep):
 | 
						|
        return self.data.partition(sep)
 | 
						|
    def replace(self, old, new, maxsplit=-1):
 | 
						|
        if isinstance(old, UserString):
 | 
						|
            old = old.data
 | 
						|
        if isinstance(new, UserString):
 | 
						|
            new = new.data
 | 
						|
        return self.__class__(self.data.replace(old, new, maxsplit))
 | 
						|
    def rfind(self, sub, start=0, end=_sys.maxsize):
 | 
						|
        if isinstance(sub, UserString):
 | 
						|
            sub = sub.data
 | 
						|
        return self.data.rfind(sub, start, end)
 | 
						|
    def rindex(self, sub, start=0, end=_sys.maxsize):
 | 
						|
        return self.data.rindex(sub, start, end)
 | 
						|
    def rjust(self, width, *args):
 | 
						|
        return self.__class__(self.data.rjust(width, *args))
 | 
						|
    def rpartition(self, sep):
 | 
						|
        return self.data.rpartition(sep)
 | 
						|
    def rstrip(self, chars=None):
 | 
						|
        return self.__class__(self.data.rstrip(chars))
 | 
						|
    def split(self, sep=None, maxsplit=-1):
 | 
						|
        return self.data.split(sep, maxsplit)
 | 
						|
    def rsplit(self, sep=None, maxsplit=-1):
 | 
						|
        return self.data.rsplit(sep, maxsplit)
 | 
						|
    def splitlines(self, keepends=0): return self.data.splitlines(keepends)
 | 
						|
    def startswith(self, prefix, start=0, end=_sys.maxsize):
 | 
						|
        return self.data.startswith(prefix, start, end)
 | 
						|
    def strip(self, chars=None): return self.__class__(self.data.strip(chars))
 | 
						|
    def swapcase(self): return self.__class__(self.data.swapcase())
 | 
						|
    def title(self): return self.__class__(self.data.title())
 | 
						|
    def translate(self, *args):
 | 
						|
        return self.__class__(self.data.translate(*args))
 | 
						|
    def upper(self): return self.__class__(self.data.upper())
 | 
						|
    def zfill(self, width): return self.__class__(self.data.zfill(width))
 | 
						|
 | 
						|
 | 
						|
 | 
						|
################################################################################
 | 
						|
### Simple tests
 | 
						|
################################################################################
 | 
						|
 | 
						|
if __name__ == '__main__':
 | 
						|
    # verify that instances can be pickled
 | 
						|
    from pickle import loads, dumps
 | 
						|
    Point = namedtuple('Point', 'x, y', True)
 | 
						|
    p = Point(x=10, y=20)
 | 
						|
    assert p == loads(dumps(p))
 | 
						|
 | 
						|
    # test and demonstrate ability to override methods
 | 
						|
    class Point(namedtuple('Point', 'x y')):
 | 
						|
        __slots__ = ()
 | 
						|
        @property
 | 
						|
        def hypot(self):
 | 
						|
            return (self.x ** 2 + self.y ** 2) ** 0.5
 | 
						|
        def __str__(self):
 | 
						|
            return 'Point: x=%6.3f  y=%6.3f  hypot=%6.3f' % (self.x, self.y, self.hypot)
 | 
						|
 | 
						|
    for p in Point(3, 4), Point(14, 5/7.):
 | 
						|
        print (p)
 | 
						|
 | 
						|
    class Point(namedtuple('Point', 'x y')):
 | 
						|
        'Point class with optimized _make() and _replace() without error-checking'
 | 
						|
        __slots__ = ()
 | 
						|
        _make = classmethod(tuple.__new__)
 | 
						|
        def _replace(self, _map=map, **kwds):
 | 
						|
            return self._make(_map(kwds.get, ('x', 'y'), self))
 | 
						|
 | 
						|
    print(Point(11, 22)._replace(x=100))
 | 
						|
 | 
						|
    Point3D = namedtuple('Point3D', Point._fields + ('z',))
 | 
						|
    print(Point3D.__doc__)
 | 
						|
 | 
						|
    import doctest
 | 
						|
    TestResults = namedtuple('TestResults', 'failed attempted')
 | 
						|
    print(TestResults(*doctest.testmod()))
 |