Added Knapsack Game

Author: imVickyS

knapsack.py

@@ -0,0 +1,41 @@
+# KnapSack Problem
+
+# This is a combinational optimization algorithm.
+
+# In this algorithm, we will be given an array of values with its respective weights.
+# We will have a knapsack capacity. We will have to find the maximum value which is
+# less than the capacity .
+
+# Note : We cannot break an item. Either we pick a whole item or we do not pick that.
+
+
+def knapsack(capacity, weights, values, size):
+
+    nums = [0 for i in range(capacity+1)]
+
+    for i in range(1, size+1):
+        # starting backwards to store the value of the previous computation.
+        for j in range(capacity, 0, -1):
+
+            # calculating the maximum value
+            if weights[i-1] <= j:
+                nums[j] = max(nums[j], nums[j-weights[i-1]]+values[i-1])
+
+    return nums[capacity]
+
+
+values = []  # array of the values
+weights = []  # array of the weighs
+
+size = int(input("Enter the number of items to be inserted "))
+
+for i in range(0, size):
+    val = int(input("Enter value of item "))
+    weight = int(input("Enter weight of item "))
+
+    values.append(val)
+    weights.append(weight)
+
+capacity = int(input("Enter the knapsack capacity "))
+
+print("The maximum value is ", knapsack(capacity, weights, values, size))