Cod sursa(job #1155437)

Utilizator Dddarius95Darius-Florentin Neatu Dddarius95 Data 26 martie 2014 21:50:52
Problema Cuplaj maxim de cost minim Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 2.93 kb
#include <stdio.h>
#include <vector>
#include <string.h>

using namespace std;

#define MAX_N 710
#define inf 2000000000
#define pb push_back

int n, m, e, dest, sol, nr, improve;
int Q[MAX_N * MAX_N], tata[MAX_N], dist[MAX_N], use[MAX_N];
int C[MAX_N][MAX_N], F[MAX_N][MAX_N], edge[MAX_N][MAX_N];

vector <int> v[MAX_N], cost[MAX_N];

void cit() {
    scanf("%d %d %d", &n, &m, &e);
    for (int i = 1; i <= e; i++) {
        int p, q, val;
        scanf("%d %d %d", &p, &q, &val);
        p++; q += n + 1;

        v[p].pb(q); cost[p].pb(val);
        v[q].pb(p); cost[q].pb(-val);

        edge[p][q] = i;
        C[p][q] = 1;
    }
}

void build_graph() {
    //sursa este nodul 1, destinatia n + m + 2
    dest = n + m + 2;
    for (int i = 2; i <= n + 1; i++) {
        v[1].pb(i); cost[1].pb(0);
        v[i].pb(1); cost[i].pb(0);

        C[1][i] = 1;
    }
    for (int i = n + 2; i <= n + m + 1; i++) {
        v[i].pb(dest); cost[i].pb(0);
        v[dest].pb(i); cost[dest].pb(0);

        C[i][dest] = 1;
    }
}

int bellman_ford() {
    for (int i = 1; i <= dest; i++) {
        dist[i] = inf;
        tata[i] = -1;
        use[i] = 0;
    }
    dist[1] = 0; use[1] = 1;

    int st = 0, dr = 1; Q[1] = 1;
    while (st < dr) {
        st++;

        int len = v[Q[st]].size();
        for (int i = 0; i < len; i++) {
            if (C[Q[st]][v[Q[st]][i]] > F[Q[st]][v[Q[st]][i]] && dist[v[Q[st]][i]] > dist[Q[st]] + cost[Q[st]][i]) {
                dist[v[Q[st]][i]] = dist[Q[st]] + cost[Q[st]][i];
                tata[v[Q[st]][i]] = Q[st];

                if (!use[v[Q[st]][i]]) {
                    Q[++dr] = v[Q[st]][i];
                    use[v[Q[st]][i]] = 1;
                }
            }
        }

        use[Q[st]] = 0;
    }

    if (dist[dest] < inf) {
        int flux = inf;
        for (int i = dest; i != 1; i = tata[i])
            flux = min(flux, C[tata[i]][i] - F[tata[i]][i]);

        for (int i = dest; i != 1; i = tata[i]) {
            F[tata[i]][i] += flux;
            F[i][tata[i]] -= flux;
        }

        return flux * dist[dest];
    }
    return 0;
}

void solve() {
    //construiesc graful de flux
    build_graph();

    improve = 1;
    while (improve) {
        improve = bellman_ford();
        sol += improve;
    }
}

void write() {
    for (int i = 2; i <= n + 1; i++)
        for (int j = n + 2; j < dest; j++)
            if (C[i][j] && F[i][j]) {
                nr++;
                break;
            }

    printf("%d %d\n", nr, sol);
    for (int i = 2; i <= n + 1; i++)
        for (int j = n + 2; j < dest; j++)
            if (C[i][j] && F[i][j]) {
                printf("%d ", edge[i][j]);
                break;
            }
    printf("\n");
}

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

    cit();
    solve();
    write();

    return 0;
}