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43 changes: 43 additions & 0 deletions Algorithms/Dynamic Programming/C++/knapsack.cpp
Original file line number Diff line number Diff line change
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#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define o 100005
#define MOD 1000000007
#define pb push_back
#define mp make_pair
#define mem(a,b) memset(a,(b),sizeof(a))
#define lpo(a) for(int i=0;i<a;i++)
#define loop(a,x) for(int i=a;i<x;i++)
#define srt(x) sort(x.begin(),x.end())
#define all(x) x.begin(),x.end()
const ll MAX=1000000000000000001;
typedef pair<int,int> pii;
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];
}
}

return K[n][W];
}

int main()
{
int val[] = {20, 30, 40};
int wt[] = {10, 20, 30};
int W = 50;
int n = sizeof(val)/sizeof(val[0]);
cout<<knapSack(W, wt, val, n);
return 0;
}