Showing:
Handle Score
@Ibrahim Nash 6420
@mb1973 5578
@Quandray 5231
@akhayrutdinov 5111
@saiujwal13083 4510
@sanjay05 3762
@kirtidee18 3673
@marius_valentin_dragoi 3522
@sushant_a 3459
@verma_ji 3412
0 - 1 Knapsack Problem
Medium Accuracy: 47.21% Submissions: 31033 Points: 4

You are 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. Note that we have only one quantity of each item.
In other words, given two integer arrays val[0..N-1] and wt[0..N-1] which represent values and weights associated with N items respectively. Also given an integer W which represents knapsack capacity, find out the maximum value subset of val[] such that sum of the weights of this subset is smaller than or equal to W. You cannot break an item, either pick the complete item, or don’t pick it (0-1 property).

Example 1:

Input:
N = 3
W = 4
values[] = {1,2,3}
weight[] = {4,5,1}
Output: 3


Example 2:

Input:
N = 3
W = 3
values[] = {1,2,3}
weight[] = {4,5,6}
Output: 0

Complete the function knapSack() which takes maximum capacity W, weight array wt[], value array val[] and number of items n as a parameter and returns the maximum possible value you can get.

Expected Time Complexity: O(N*W).
Expected Auxiliary Space: O(N*W)

Constraints:
1 ≤ N ≤ 1000
1 ≤ W ≤ 1000
1 ≤ wt[i] ≤ 1000
1 ≤ v[i] ≤ 1000