mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-11-24 13:31:07 +00:00
29 lines
625 B
Python
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
|