def EnumNumber(arr, x, i, residue):
if i >= len(arr):
return
if arr[i] == residue:
x[i] = 1
print x
x[i] = 0
# return
x[i] = 1
EnumNumber(arr, x, i+1, residue-arr[i])
x[i] = 0
EnumNumber(arr, x, i+1, residue)
def FindNumber(arr, x, i, residue, target):
if i >= len(arr):
return
if arr[i] == target:
x[i] = 1
print x
x[i] = 0
if (residue >= target) and (arr[i] <= target):
x[i] = 1
FindNumber(arr, x, i+1, residue-arr[i], target-arr[i])
x[i] = 0
if ((residue-arr[i]) >= target):
x[i] = 0
FindNumber(arr, x, i+1, residue-arr[i], target)
def FindNumberNeg(arr, x, i, neg, postive, target):
if i >= len(arr):
return
if arr[i] == target:
x[i] = 1
print x
x[i] = 0
if arr[i] >= 0:
if (postive >= target) and (arr[i] <= target):
x[i] = 1
FindNumberNeg(arr, x, i+1, neg, postive-arr[i], target-arr[i])
x[i] = 0
if ((postive-arr[i]) >= target):
x[i] = 0
FindNumberNeg(arr, x, i+1, neg, postive-arr[i], target)
else:
if (arr[i]+postive) >= target:
x[i] = 1
FindNumberNeg(arr, x, i+1, neg-arr[i], postive, target-arr[i])
x[i] = 0
# else:
# if (neg <= target) and (postive >= target):
if postive >= target:
x[i] = 0
FindNumberNeg(arr, x, i+1, neg-arr[i], postive, target)
def nsum(arr, target):
x = [0]*len(arr)
# EnumNumber(arr, x, 0, target)
# FindNumber(arr, x, 0, sum(arr), target)
postive = neg = 0
for i in arr:
if i >= 0:
postive += i
else:
neg += i
print postive, neg
FindNumberNeg(arr, x, 0, neg, postive, target)
if __name__ == "__main__":
# arr = [1, 2, 3, 4, 5, 0]
arr = [-3, -5, -2, 4, 2, 1, 3]
nsum(arr, 5)
