Python实现求一个集合所有子集的示例

Gytha ·

更新时间:2024-09-21

· 514 次阅读

方法一：回归实现


def PowerSetsRecursive(items):
  """Use recursive call to return all subsets of items, include empty set"""
  if len(items) == 0:
    #if the lsit is empty, return the empty list
    return [[]]
  subsets = []
  first_elt = items[0] #first element
  rest_list = items[1:]
  #Strategy:Get all subsets of rest_list; for each of those subsets, a full subset list
  #will contain both the original subset as well as a version of the sebset that contains the first_elt
  for partial_sebset in PowerSetsRecursive(rest_list):
    subsets.append(partial_sebset)
    next_subset = partial_sebset[:] +[first_elt]
    subsets.append(next_subset)
  return subsets


def PowerSetsRecursive2(items):
  # the power set of the empty set has one element, the empty set
  result = [[]]
  for x in items:
    result.extend([subset + [x] for subset in result])
  return result

方法二：二进制法


def PowerSetsBinary(items): 
  #generate all combination of N items 
  N = len(items) 
  #enumerate the 2**N possible combinations 
  for i in range(2**N): 
    combo = [] 
    for j in range(N): 
      #test jth bit of integer i 
      if(i >> j ) % 2 == 1: 
        combo.append(items[j]) 
    yield combo

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