Cod sursa(job #867576)

Utilizator vandrei95Zamfir Vlad vandrei95 Data 29 ianuarie 2013 20:52:54
Problema Problema rucsacului Scor 50
Compilator cpp Status done
Runda Arhiva educationala Marime 1.52 kb
/*#include <iostream>
#include<fstream>
using namespace std;
int gr[5001],p[5001], cost[5001][10001];
int main()
{
    int N,G,i,j,g;
    fstream f,h;
    f.open("rucsac.in",ios::in);
    h.open("rucsac.out",ios::out);
    f>>N>>G;
    for(i=1;i<=N;i++)
        f>>gr[i]>>p[i];
    for(i=1;i<=N;i++)
        for(g=0;g<=G;g++)
        {
            cost[i][g]=cost[i-1][g];
            if(gr[i]<=g)
                cost[i][g]=max(cost[i][g],cost[i-1][g-gr[i]]+p[i]);
        }
    h<<cost[N][G];
}*/
#include <cstdio>
#include <algorithm>

using namespace std;

#define MAXN 5010
#define MAXG 10010

int N, G, Pmax;
int W[MAXN], P[MAXN];
int D[MAXN][MAXG];

int main()
{
    freopen("rucsac.in", "r", stdin);
    freopen("rucsac.out", "w", stdout);

    // Citire
    scanf("%d%d", &N, &G);
    for(int i = 1; i <= N; ++i)
        scanf("%d%d", &W[i], &P[i]);

    // Dinamica D[i][cw] - profitul maxim pe care-l putem obtine adaugand o submultime a primelor i obiecte, insumand greutatea cw
    for(int i = 1; i <= N; ++i)
        for(int cw = 0; cw <= G; ++cw)
        {
            // Mai intai nu punem obiectul i.
            D[i][cw] = D[i-1][cw];

            // Daca acest lucru duce la o solutie curenta mai buna, adaugam obiectul i la o solutie anterioara.
            if(W[i] <= cw)
                D[i][cw] = max(D[i][cw], D[i - 1][cw - W[i]] + P[i]);
        }

    // Solutia se va afla in statea D[N][G]
    Pmax = D[N][G];

    // Afisare
    printf("%d\n", Pmax);

    return 0;
}