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Knapsack_Tabulation.c
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Knapsack_Tabulation.c
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// 0/1 knapsack problem
#include <stdio.h>
int max(int a, int b) {
if(a>b){
return a;
}
else{
return b;
}
}
int knapSack(int W, int wt[], int val[], int n) {
int i, w;
int K[n + 1][W + 1];
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];
}
printf("%d\t",K[i][w]);
}
}
return K[n][W];
}
int main()
{
int n,value[n],weight[n];
int i,W;
printf("\nEnter the number of items: ");
scanf("%d", &n);
printf("\nEnter the weight of item\n");
for(i = 0; i < n; i++){
scanf(" %d", &weight[i]);
}
printf("\nEnter the value of item\n");
for(i = 0; i < n; i++){
scanf(" %d", &value[i]);
}
printf("\nEnter the maximum capacity of the knapsack : ");
scanf("%d", &W);
printf("\nMaximum value is : %d\n", knapSack(W, weight, value, n));
return 0;
}