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- // A Dynamic Programming based solution for 0-1 Knapsack problem
- #include<stdio.h>
- // A utility function that returns maximum of two integers
- int max(int a, int b) { return (a > b)? a : b; }
- // Returns the maximum value that can be put in a knapsack of capacity W
- int knapSack(int W, int wt[], int val[], int n)
- {
- int i, w;
- int K[n+1][W+1];
- // Build table K[][] in bottom up manner
- for (i = 0; i <= n; i++)
- {
- for (w = 0; w <= W; w++)
- {
- if (i==0 || w==0)
- K[i][w] = 0;
- else if (wt[i-1] <= w)
- K[i][w] = max(val[i-1] + K[i-1][w-wt[i-1]], K[i-1][w]);
- else
- K[i][w] = K[i-1][w];
- }
- }
- return K[n][W];
- }
- int main()
- {
- int val[] = {60, 100, 120};
- int wt[] = {10, 20, 30};
- int W = 50;
- int n = sizeof(val)/sizeof(val[0]);
- printf("%d", knapSack(W, wt, val, n));
- return 0;
- }
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