0-1 knapsack.c

#include<stdio.h>

int main()

{

    int n,flag[100]= {0},v[100],w[100],m[100][100],W,i,j,k;

    printf("Enter the number of elements: ");
    scanf("%d",&n);

    printf("Enter the values: ");
    for(i=1; i<=n; i++)
        scanf("%d",&v[i]);

    printf("Enter the weights: ");
    for(i=1; i<=n; i++){
        scanf("%d",&w[i]);
    }

    printf("Enter the capacity of knapsack: ");
    scanf("%d",&W);

    for(j=0; j<=W; j++){
        m[0][j]=0;
    }

    for(i=1; i<=n; i++)
    {
        for(j=0; j<=W; j++)
        {
            if(w[i]<=j)
            {
                if( m[i-1][j] > (m[i-1][j-w[i]]+v[i]) )
                    m[i][j]=m[i-1][j];
                else
                    m[i][j]=m[i-1][j-w[i]]+v[i];
            }
            else
                m[i][j]=m[i-1][j];
        }

    }

    i=n;
    k=W;

    while(i>0 && k>0)
    {
        if(m[i][k]!=m[i-1][k])
        {
            flag[i]=1;
            k=k-w[i];
            i=i-1;
        }
        else
            i--;
    }

    printf("\n\t");

    for(i=0; i<=W; i++){
        printf("%d\t",i);
    }
    printf("\n");

    for(i=0; i<=10*W; i++){
        printf("-");
    }
    printf("\n");

    for(i=0; i<=n; i++)
    {
        printf("%d  |\t", i);

        for(j=0; j<=W; j++){
            printf("%d\t",m[i][j]);
        }
        printf("\n");

    }

    printf("\nThe resultant vector is ");

    printf("( ");

    for(i=1; i<=n; i++){
        printf("%d ",flag[i]);
    }
    printf(")");
    printf("\n\nThe total profit is %d",m[n][W]);
    printf("\n");

    return 0;

}