Create minimum_partition.py

dhruvsaini · web-flow · commit 688a9ab3bcc8 · 2017-01-03T16:42:31.000+05:30
Partition a set into two subsets such that the difference of subset sums is minimum
diff --git a/dynamic_programming/minimum_partition.py b/dynamic_programming/minimum_partition.py
@@ -0,0 +1,28 @@
+"""
+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(s/2, -1, -1):
+        if dp[n][j] == True:
+            diff = s-2*j
+            break;
+
+    return diff
