C Program to solve Knapsack problem. Knapsack problem is also called as rucksack problem. In Knapsack problem, given a set items with values and weights and a limited weight bag . We have to find the optimum solution so that, in minimum cost(value) fill the bag with the maximum weight. Read more about C Programming Language .

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#include<stdio.h>

#include<conio.h>

int w[10],p[10],v[10][10],n,i,j,cap,x[10]={0};

int max(int i,int j)

{

return ((i>j)?i:j);

}

int knap(int i,int j)

{

int value;

if(v[i][j]<0)

{

if(j<w[i])

value=knap(i-1,j);

else

value=max(knap(i-1,j),p[i]+knap(i-1,j-w[i]));

v[i][j]=value;

}

return(v[i][j]);

}

void main()

{

int profit,count=0;

clrscr();

printf("nEnter the number of elementsn");

scanf("%d",&n);

printf("Enter the profit and weights of the elementsn");

for(i=1;i<=n;i++)

{

printf("For item no %dn",i);

scanf("%d%d",&p[i],&w[i]);

}

printf("nEnter the capacity n");

scanf("%d",&cap);

for(i=0;i<=n;i++)

for(j=0;j<=cap;j++)

if((i==0)||(j==0))

v[i][j]=0;

else

v[i][j]=-1;

profit=knap(n,cap);

i=n;

j=cap;

while(j!=0&&i!=0)

{

if(v[i][j]!=v[i-1][j])

{

x[i]=1;

j=j-w[i];

i--;

}

else

i--;

}

printf("Items included aren");

printf("Sl.notweighttprofitn");

for(i=1;i<=n;i++)

if(x[i])

printf("%dt%dt%dn",++count,w[i],p[i]);

printf("Total profit = %dn",profit);

getch();

}

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