Python/dynamic_programming/minimum_partition.py
Sayan Bandyopadhyay 247089decc Update minimum_partition.py
The loop for finding differences had issues of float being iterated. Has been fixed.
2017-10-12 03:28:43 +05:30

29 lines
625 B
Python

"""
Partition a set into two subsets such that the difference of subset sums is minimum
"""
def findMin(arr):
n = len(arr)
s = sum(arr)
dp = [[False for x in range(s+1)]for y in range(n+1)]
for i in range(1, n+1):
dp[i][0] = True
for i in range(1, s+1):
dp[0][i] = False
for i in range(1, n+1):
for j in range(1, s+1):
dp[i][j]= dp[i][j-1]
if (arr[i-1] <= j):
dp[i][j] = dp[i][j] or dp[i-1][j-arr[i-1]]
for j in range(int(s/2), -1, -1):
if dp[n][j] == True:
diff = s-2*j
break;
return diff