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								\section{\module{collections} ---
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								         High-performance container datatypes}
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								\declaremodule{standard}{collections}
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								\modulesynopsis{High-performance datatypes}
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								\moduleauthor{Raymond Hettinger}{python@rcn.com}
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								\sectionauthor{Raymond Hettinger}{python@rcn.com}
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								\versionadded{2.4}
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								This module implements high-performance container datatypes.  Currently, the
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								only datatype is a deque.  Future additions may include B-trees
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								and Fibonacci heaps.
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								\begin{funcdesc}{deque}{\optional{iterable}}
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								  Returns a new deque objected initialized left-to-right (using
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								  \method{append()}) with data from \var{iterable}.  If \var{iterable}
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								  is not specified, the new deque is empty.
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								  Deques are a generalization of stacks and queues (the name is pronounced
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								  ``deck'' and is short for ``double-ended queue'').  Deques support
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								  thread-safe, memory efficient appends and pops from either side of the deque
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								  with approximately the same \code{O(1)} performance in either direction.
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								  Though \class{list} objects support similar operations, they are optimized
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								  for fast fixed-length operations and incur \code{O(n)} memory movement costs
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								  for \samp{pop(0)} and \samp{insert(0, v)} operations which change both the
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								  size and position of the underlying data representation.
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								  \versionadded{2.4}
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								\end{funcdesc}
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								Deque objects support the following methods:
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								\begin{methoddesc}{append}{x}
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								   Add \var{x} to the right side of the deque.
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								\end{methoddesc}
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								\begin{methoddesc}{appendleft}{x}
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								   Add \var{x} to the left side of the deque.
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								\end{methoddesc}
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								\begin{methoddesc}{clear}{}
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								   Remove all elements from the deque leaving it with length 0.
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								\end{methoddesc}
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								\begin{methoddesc}{extend}{iterable}
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								   Extend the right side of the deque by appending elements from
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								   the iterable argument.
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								\end{methoddesc}
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								\begin{methoddesc}{extendleft}{iterable}
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								   Extend the left side of the deque by appending elements from
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								   \var{iterable}.  Note, the series of left appends results in
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								   reversing the order of elements in the iterable argument.
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								\end{methoddesc}
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								\begin{methoddesc}{pop}{}
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								   Remove and return an element from the right side of the deque.
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								   If no elements are present, raises a \exception{IndexError}.
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								\end{methoddesc}
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								\begin{methoddesc}{popleft}{}
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								   Remove and return an element from the left side of the deque.
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								   If no elements are present, raises a \exception{IndexError}.   
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								\end{methoddesc}
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								\begin{methoddesc}{remove}{value}
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								   Removed the first occurrence of \var{value}.  If not found,
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								   raises a \exception{ValueError}.
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								   \versionadded{2.5}
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								\end{methoddesc}
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								\begin{methoddesc}{rotate}{n}
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								   Rotate the deque \var{n} steps to the right.  If \var{n} is
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								   negative, rotate to the left.  Rotating one step to the right
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								   is equivalent to:  \samp{d.appendleft(d.pop())}. 
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								\end{methoddesc}
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								In addition to the above, deques support iteration, pickling, \samp{len(d)},
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								\samp{reversed(d)}, \samp{copy.copy(d)}, \samp{copy.deepcopy(d)},
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								membership testing with the \keyword{in} operator, and subscript references
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								such as \samp{d[-1]}.
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								Example:
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								\begin{verbatim}
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								>>> from collections import deque
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								>>> d = deque('ghi')                 # make a new deque with three items
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								>>> for elem in d:                   # iterate over the deque's elements
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								...     print elem.upper()	
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								G
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								H
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								I
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								>>> d.append('j')                    # add a new entry to the right side
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								>>> d.appendleft('f')                # add a new entry to the left side
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								>>> d                                # show the representation of the deque
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								deque(['f', 'g', 'h', 'i', 'j'])
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								>>> d.pop()                          # return and remove the rightmost item
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								'j'
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								>>> d.popleft()                      # return and remove the leftmost item
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								'f'
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								>>> list(d)                          # list the contents of the deque
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								['g', 'h', 'i']
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								>>> d[0]                             # peek at leftmost item
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								'g'
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								>>> d[-1]                            # peek at rightmost item
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								'i'
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								>>> list(reversed(d))                # list the contents of a deque in reverse
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								['i', 'h', 'g']
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								>>> 'h' in d                         # search the deque
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								True
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								>>> d.extend('jkl')                  # add multiple elements at once
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								>>> d
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								deque(['g', 'h', 'i', 'j', 'k', 'l'])
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								>>> d.rotate(1)                      # right rotation
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								>>> d
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								deque(['l', 'g', 'h', 'i', 'j', 'k'])
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								>>> d.rotate(-1)                     # left rotation
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								>>> d
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								deque(['g', 'h', 'i', 'j', 'k', 'l'])
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								>>> deque(reversed(d))               # make a new deque in reverse order
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								deque(['l', 'k', 'j', 'i', 'h', 'g'])
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								>>> d.clear()                        # empty the deque
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								>>> d.pop()                          # cannot pop from an empty deque
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											2004-01-29 07:27:45 +00:00
										 
									 
								 
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								Traceback (most recent call last):
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								  File "<pyshell#6>", line 1, in -toplevel-
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								    d.pop()
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											2004-02-29 02:15:56 +00:00
										 
									 
								 
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								IndexError: pop from an empty deque
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											2004-02-06 19:04:56 +00:00
										 
									 
								 
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											2004-02-07 21:13:00 +00:00
										 
									 
								 
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								>>> d.extendleft('abc')              # extendleft() reverses the input order
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											2004-02-06 19:04:56 +00:00
										 
									 
								 
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								>>> d
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								deque(['c', 'b', 'a'])
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											2004-04-30 22:52:50 +00:00
										 
									 
								 
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								\end{verbatim}
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											2004-02-06 19:04:56 +00:00
										 
									 
								 
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											2004-05-09 01:15:01 +00:00
										 
									 
								 
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								\subsection{Recipes \label{deque-recipes}}
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								This section shows various approaches to working with deques.
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								The \method{rotate()} method provides a way to implement \class{deque}
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											2004-06-12 07:59:40 +00:00
										 
									 
								 
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								slicing and deletion.  For example, a pure python implementation of
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								\code{del d[n]} relies on the \method{rotate()} method to position
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								elements to be popped:
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								\begin{verbatim}
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								def delete_nth(d, n):
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								    d.rotate(-n)
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								    d.popleft()
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								    d.rotate(n)
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								\end{verbatim}
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											2004-05-12 20:55:56 +00:00
										 
									 
								 
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								To implement \class{deque} slicing, use a similar approach applying
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								\method{rotate()} to bring a target element to the left side of the deque.
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								Remove old entries with \method{popleft()}, add new entries with
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								\method{extend()}, and then reverse the rotation.
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											2004-05-09 01:15:01 +00:00
										 
									 
								 
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								With minor variations on that approach, it is easy to implement Forth style
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								stack manipulations such as \code{dup}, \code{drop}, \code{swap}, \code{over},
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								\code{pick}, \code{rot}, and \code{roll}.
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											2004-04-30 22:52:50 +00:00
										 
									 
								 
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								A roundrobin task server can be built from a \class{deque} using
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								\method{popleft()} to select the current task and \method{append()}
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								to add it back to the tasklist if the input stream is not exhausted:
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								\begin{verbatim}
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								def roundrobin(*iterables):
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								    pending = deque(iter(i) for i in iterables)
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								    while pending:
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								        task = pending.popleft()
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								        try:
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								            yield task.next()
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								        except StopIteration:
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								            continue
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								        pending.append(task)
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								>>> for value in roundrobin('abc', 'd', 'efgh'):
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								...     print value
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											2004-04-30 22:52:50 +00:00
										 
									 
								 
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								a
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								d
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								e
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								b
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								f
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								c
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								g
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								h
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								\end{verbatim}
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											2004-05-09 01:15:01 +00:00
										 
									 
								 
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								Multi-pass data reduction algorithms can be succinctly expressed and
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											2004-06-12 07:59:40 +00:00
										 
									 
								 
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								efficiently coded by extracting elements with multiple calls to
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								\method{popleft()}, applying the reduction function, and calling
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								\method{append()} to add the result back to the queue.
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											2004-05-09 01:15:01 +00:00
										 
									 
								 
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								For example, building a balanced binary tree of nested lists entails
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								reducing two adjacent nodes into one by grouping them in a list:
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								\begin{verbatim}
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								def maketree(iterable):
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								    d = deque(iterable)
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								    while len(d) > 1:
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								        pair = [d.popleft(), d.popleft()]
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								        d.append(pair)
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								    return list(d)
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								>>> print maketree('abcdefgh')
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								[[[['a', 'b'], ['c', 'd']], [['e', 'f'], ['g', 'h']]]]
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								\end{verbatim}
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