mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-11-27 23:11:09 +00:00
1f8a21d727
* Tighten up psf/black and flake8
* Fix some tests
* Fix some E741
* Fix some E741
* updating DIRECTORY.md
Co-authored-by: github-actions <${GITHUB_ACTOR}@users.noreply.github.com>
31 lines
654 B
Python
31 lines
654 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] is True:
|
|
diff = s - 2 * j
|
|
break
|
|
|
|
return diff
|