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>>> amounts = [120.15, 764.05, 823.14]
>>> for checknum, amount in zip(count(1200), amounts):
...     print('Check %d is for $%.2f' % (checknum, amount))
...
Check 1200 is for $120.15
Check 1201 is for $764.05
Check 1202 is for $823.14

>>> import operator
>>> for cube in map(operator.pow, range(1,4), repeat(3)):
...    print(cube)
...
1
8
27

>>> reportlines = ['EuroPython', 'Roster', '', 'alex', '', 'laura', '', 'martin', '', 'walter', '', 'samuele']
>>> for name in islice(reportlines, 3, None, 2):
...    print(name.title())
...
Alex
Laura
Martin
Walter
Samuele

>>> from operator import itemgetter
>>> d = dict(a=1, b=2, c=1, d=2, e=1, f=2, g=3)
>>> di = sorted(sorted(d.items()), key=itemgetter(1))
>>> for k, g in groupby(di, itemgetter(1)):
...     print(k, list(map(itemgetter(0), g)))
...
1 ['a', 'c', 'e']
2 ['b', 'd', 'f']
3 ['g']

# Find runs of consecutive numbers using groupby.  The key to the solution
# is differencing with a range so that consecutive numbers all appear in
# same group.
>>> data = [ 1,  4,5,6, 10, 15,16,17,18, 22, 25,26,27,28]
>>> for k, g in groupby(enumerate(data), lambda t:t[0]-t[1]):
...     print(list(map(operator.itemgetter(1), g)))
...
[1]
[4, 5, 6]
[10]
[15, 16, 17, 18]
[22]
[25, 26, 27, 28]

>>> def take(n, iterable):
...     "Return first n items of the iterable as a list"
...     return list(islice(iterable, n))

>>> def prepend(value, iterator):
...     "Prepend a single value in front of an iterator"
...     # prepend(1, [2, 3, 4]) -> 1 2 3 4
...     return chain([value], iterator)

>>> def enumerate(iterable, start=0):
...     return zip(count(start), iterable)

>>> def tabulate(function, start=0):
...     "Return function(0), function(1), ..."
...     return map(function, count(start))

>>> import collections
>>> def consume(iterator, n=None):
...     "Advance the iterator n-steps ahead. If n is None, consume entirely."
...     # Use functions that consume iterators at C speed.
...     if n is None:
...         # feed the entire iterator into a zero-length deque
...         collections.deque(iterator, maxlen=0)
...     else:
...         # advance to the empty slice starting at position n
...         next(islice(iterator, n, n), None)

>>> def nth(iterable, n, default=None):
...     "Returns the nth item or a default value"
...     return next(islice(iterable, n, None), default)

>>> def all_equal(iterable):
...     "Returns True if all the elements are equal to each other"
...     g = groupby(iterable)
...     return next(g, True) and not next(g, False)

>>> def quantify(iterable, pred=bool):
...     "Count how many times the predicate is true"
...     return sum(map(pred, iterable))

>>> def padnone(iterable):
...     "Returns the sequence elements and then returns None indefinitely"
...     return chain(iterable, repeat(None))

>>> def ncycles(iterable, n):
...     "Returns the sequence elements n times"
...     return chain(*repeat(iterable, n))

>>> def dotproduct(vec1, vec2):
...     return sum(map(operator.mul, vec1, vec2))

>>> def flatten(listOfLists):
...     return list(chain.from_iterable(listOfLists))

>>> def repeatfunc(func, times=None, *args):
...     "Repeat calls to func with specified arguments."
...     "   Example:  repeatfunc(random.random)"
...     if times is None:
...         return starmap(func, repeat(args))
...     else:
...         return starmap(func, repeat(args, times))

>>> def pairwise(iterable):
...     "s -> (s0,s1), (s1,s2), (s2, s3), ..."
...     a, b = tee(iterable)
...     try:
...         next(b)
...     except StopIteration:
...         pass
...     return zip(a, b)

>>> def grouper(n, iterable, fillvalue=None):
...     "grouper(3, 'ABCDEFG', 'x') --> ABC DEF Gxx"
...     args = [iter(iterable)] * n
...     return zip_longest(*args, fillvalue=fillvalue)

>>> def roundrobin(*iterables):
...     "roundrobin('ABC', 'D', 'EF') --> A D E B F C"
...     # Recipe credited to George Sakkis
...     pending = len(iterables)
...     nexts = cycle(iter(it).__next__ for it in iterables)
...     while pending:
...         try:
...             for next in nexts:
...                 yield next()
...         except StopIteration:
...             pending -= 1
...             nexts = cycle(islice(nexts, pending))

>>> def powerset(iterable):
...     "powerset([1,2,3]) --> () (1,) (2,) (3,) (1,2) (1,3) (2,3) (1,2,3)"
...     s = list(iterable)
...     return chain.from_iterable(combinations(s, r) for r in range(len(s)+1))

>>> def unique_everseen(iterable, key=None):
...     "List unique elements, preserving order. Remember all elements ever seen."
...     # unique_everseen('AAAABBBCCDAABBB') --> A B C D
...     # unique_everseen('ABBCcAD', str.lower) --> A B C D
...     seen = set()
...     seen_add = seen.add
...     if key is None:
...         for element in iterable:
...             if element not in seen:
...                 seen_add(element)
...                 yield element
...     else:
...         for element in iterable:
...             k = key(element)
...             if k not in seen:
...                 seen_add(k)
...                 yield element

>>> def unique_justseen(iterable, key=None):
...     "List unique elements, preserving order. Remember only the element just seen."
...     # unique_justseen('AAAABBBCCDAABBB') --> A B C D A B
...     # unique_justseen('ABBCcAD', str.lower) --> A B C A D
...     return map(next, map(itemgetter(1), groupby(iterable, key)))

>>> def first_true(iterable, default=False, pred=None):
...     '''Returns the first true value in the iterable.
...
...     If no true value is found, returns *default*
...
...     If *pred* is not None, returns the first item
...     for which pred(item) is true.
...
...     '''
...     # first_true([a,b,c], x) --> a or b or c or x
...     # first_true([a,b], x, f) --> a if f(a) else b if f(b) else x
...     return next(filter(pred, iterable), default)

>>> def nth_combination(iterable, r, index):
...     'Equivalent to list(combinations(iterable, r))[index]'
...     pool = tuple(iterable)
...     n = len(pool)
...     if r < 0 or r > n:
...         raise ValueError
...     c = 1
...     k = min(r, n-r)
...     for i in range(1, k+1):
...         c = c * (n - k + i) // i
...     if index < 0:
...         index += c
...     if index < 0 or index >= c:
...         raise IndexError
...     result = []
...     while r:
...         c, n, r = c*r//n, n-1, r-1
...         while index >= c:
...             index -= c
...             c, n = c*(n-r)//n, n-1
...         result.append(pool[-1-n])
...     return tuple(result)


This is not part of the examples but it tests to make sure the definitions
perform as purported.

>>> take(10, count())
[0, 1, 2, 3, 4, 5, 6, 7, 8, 9]

>>> list(prepend(1, [2, 3, 4]))
[1, 2, 3, 4]

>>> list(enumerate('abc'))
[(0, 'a'), (1, 'b'), (2, 'c')]

>>> list(islice(tabulate(lambda x: 2*x), 4))
[0, 2, 4, 6]

>>> it = iter(range(10))
>>> consume(it, 3)
>>> next(it)
3
>>> consume(it)
>>> next(it, 'Done')
'Done'

>>> nth('abcde', 3)
'd'

>>> nth('abcde', 9) is None
True

>>> [all_equal(s) for s in ('', 'A', 'AAAA', 'AAAB', 'AAABA')]
[True, True, True, False, False]

>>> quantify(range(99), lambda x: x%2==0)
50

>>> a = [[1, 2, 3], [4, 5, 6]]
>>> flatten(a)
[1, 2, 3, 4, 5, 6]

>>> list(repeatfunc(pow, 5, 2, 3))
[8, 8, 8, 8, 8]

>>> import random
>>> take(5, map(int, repeatfunc(random.random)))
[0, 0, 0, 0, 0]

>>> list(pairwise('abcd'))
[('a', 'b'), ('b', 'c'), ('c', 'd')]

>>> list(pairwise([]))
[]

>>> list(pairwise('a'))
[]

>>> list(islice(padnone('abc'), 0, 6))
['a', 'b', 'c', None, None, None]

>>> list(ncycles('abc', 3))
['a', 'b', 'c', 'a', 'b', 'c', 'a', 'b', 'c']

>>> dotproduct([1,2,3], [4,5,6])
32

>>> list(grouper(3, 'abcdefg', 'x'))
[('a', 'b', 'c'), ('d', 'e', 'f'), ('g', 'x', 'x')]

>>> list(roundrobin('abc', 'd', 'ef'))
['a', 'd', 'e', 'b', 'f', 'c']

>>> list(powerset([1,2,3]))
[(), (1,), (2,), (3,), (1, 2), (1, 3), (2, 3), (1, 2, 3)]

>>> all(len(list(powerset(range(n)))) == 2**n for n in range(18))
True

>>> list(powerset('abcde')) == sorted(sorted(set(powerset('abcde'))), key=len)
True

>>> list(unique_everseen('AAAABBBCCDAABBB'))
['A', 'B', 'C', 'D']

>>> list(unique_everseen('ABBCcAD', str.lower))
['A', 'B', 'C', 'D']

>>> list(unique_justseen('AAAABBBCCDAABBB'))
['A', 'B', 'C', 'D', 'A', 'B']

>>> list(unique_justseen('ABBCcAD', str.lower))
['A', 'B', 'C', 'A', 'D']

>>> first_true('ABC0DEF1', '9', str.isdigit)
'0'

>>> population = 'ABCDEFGH'
>>> for r in range(len(population) + 1):
...     seq = list(combinations(population, r))
...     for i in range(len(seq)):
...         assert nth_combination(population, r, i) == seq[i]
...     for i in range(-len(seq), 0):
...         assert nth_combination(population, r, i) == seq[i]


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