Create knapsack.py

dynamic_programming/knapsack.py

@@ -0,0 +1,14 @@
+"""
+Given weights and values of n items, put these items in a knapsack of capacity W to get the maximum total value in the knapsack.
+"""
+def knapsack(W, wt, val, n):
+    dp = [[0 for i in range(W+1)]for j in range(n+1)]
+
+    for i in range(1,n+1):
+        for w in range(1,W+1):
+            if(wt[i-1]<=w):
+                dp[i][w] = max(val[i-1]+dp[i-1][w-wt[i-1]],dp[i-1][w])
+            else:
+                dp[i][w] = dp[i-1][w]
+
+    return dp[n][w]