Cod sursa(job #3218225)

Utilizator profinfo114Prof Info profinfo114 Data 26 martie 2024 16:41:26
Problema Lapte Scor 100
Compilator cpp-64 Status done
Runda Arhiva de probleme Marime 1.48 kb
#include <fstream>
#define INF 0x3f3f3f3f

using namespace std;

ifstream fin("lapte.in");
ofstream fout("lapte.out");

struct lapte {
    int x, y;
} v[105], rez[105][105];

int n, l, dp[105][105];

bool valid(int xx) {
    for(int i = 0; i <= n; i++) {
        for(int j = 0; j <= l; j++) {
            dp[i][j] = -INF;
        }
    }
    dp[0][0] = 0;
    for(int i = 1; i <= n; i++) {
        for(int j = 0; j <= l; j++) {
            for(int k = 0; k <= j && v[i].x * k <= xx; k++) {
                int t = xx - (v[i].x * k);
                int adaos = t / v[i].y;
                if(dp[i][j] < dp[i - 1][j - k] + adaos) {
                    dp[i][j] = dp[i - 1][j - k] + adaos;
                    rez[i][j] = {k, adaos};
                }
            }
        }
    }
    return dp[n][l] >= l;
}

void afisare(int a, int b) {
    if(a == 1) {
        fout << rez[a][b].x << " " << rez[a][b].y << "\n";
        return;
    }
    afisare(a - 1, b - rez[a][b].x);
    fout << rez[a][b].x << " " << rez[a][b].y << "\n";
}

int main() {
    fin >> n >> l;
    for(int i = 1; i <= n; i++) {
        fin >> v[i].x >> v[i].y;
    }
    int st = 1, dr = 100 * 100, ans = 100 * 100 + 1;
    while(st <= dr) {
        int mid = (st + dr) / 2;
        if(valid(mid)) {
            ans = mid;
            dr = mid - 1;
        } else {
            st = mid + 1;
        }
    }
    fout << ans << "\n";
    valid(ans);
    afisare(n, l);
    return 0;
}