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def subsets( nums ) :
all_subset = []
bag = []
# ----------------------------------------
# i : 索引值, 從 0 ~ n-1
def picker( i ):
## 終止條件
# 當所有號碼都已經考慮過了
if i == len(nums):
all_subset.append( bag[::] )
return
## 遞迴關係式:
# 對當下這個號碼，有兩種可能情況，拿這個號碼，或者不拿這個號碼。
# 可能情況a: 拿當下這個號碼
bag.append( nums[i] )
picker( i+1 )
bag.pop()
# 可能情況b: 不拿當下這個號碼
picker( i+1 )
return
# -----------------------------------------
# 從第一個號碼開始
picker( 0 )
return all_subset
# 範例：假定輸入是[1, 2, 3]
numbers = [1,2,3]
result = subsets( numbers )
# 範例輸出: [[1, 2, 3], [1, 2], [1, 3], [1], [2, 3], [2], [3], []]
print( result )
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