Matrix Chain

Author: soumyadip007

DP/Matrix_chain_multiplication.py

@@ -0,0 +1,9 @@
+import sys
+n  = int(input())
+arr = list(map(int,input().split()))
+dp = [[0 for i in range(n)]for j in range(n)]
+for l in  range(2,n):
+    for i in range(1,n-l+1):
+        j,dp[i][j] = i+l-1,sys.maxsize
+        for k in range(i,j):dp[i][j] = min(dp[i][j],dp[i][k]+dp[k+1][j]+arr[i-1]*arr[k]*arr[j])
+print("Min no. of scalar mult = ",dp[1][n-1])