knapsack02.cpp

/*************************************
 * Knapsack (DP solution) TC - O(n*W)
 * @author Amirul Islam (shiningflash)
 ************************************/

#include <cstdio>
#include <iomanip>
#include <cstring>
#include <cmath>
#include <cstdlib>
#include <cctype>
#include <algorithm>
#include <string>
#include <vector>
#include <queue>
#include <map>
#include <set>
#include <sstream>
#include <stack>
#include <list>
#include <iostream>
#include <assert.h>

/**Define memory set function**/
#define mem(x,y) memset(x,y,sizeof(x))
#define CLEAR(x) memset(x,0,sizeof(x))

/**Define function and object**/
#define pb push_back
#define Sort(v) sort(v.begin(),v.end())
#define _sort(s, n) sort(s, s+n)
#define sqr(x) ((x)*(x))

/**Define constant value**/
#define le 5001
#define ERR 1e-9
#define pi (2*acos(0))
#define PI 3.141592653589793

/**Define input**/
#define scanint(a) scanf("%d",&a)
#define scanLLD(a) scanf("%lld",&a)

typedef unsigned long long ll;

using namespace std;

/**********************End*******************/

int w[] = {10, 20, 30};
int val[] = {60, 100, 120};

int knapsack(int W, int n) {
    int dp[n+1][W+1];
    for (int i = 0; i <= n; i++) dp[i][0] = 0;
    for (int i = 0; i <= W; i++) dp[0][i] = 0;
    for (int i = 1; i <= n; i++) {
        for (int j = 1; j <= W; j++) {
            if (w[i-1] <= W)
                dp[i][j] = max(val[i-1] + dp[i-1][j-w[i-1]], dp[i-1][j]);
            else
                dp[i][j] = dp[i-1][j];
        }
    }
    return dp[n][W];
}

int main() {
    int n = 3, W = 50;
    cout << knapsack(W, n) << endl;
}