Cod sursa(job #2962529)

Utilizator popashtefan10Popa Stefan popashtefan10 Data 8 ianuarie 2023 18:06:23
Problema Flux maxim de cost minim Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 2.85 kb
#include <iostream>
#include <cstdio>
#include <vector>
#include <queue>

using namespace std;

const int NMAX = 350;
const int MMAX = 12500;
const int FMAX = 1000000000;
const int CMAX = 1000000000;

struct elem {
  int nod, cost, idx; /// idx - indicele muchiei prin care se ajunge la nod
  elem(int cnod = 0, int ccost = 0, int cidx = 0) : nod(cnod), cost(ccost), idx(cidx) {}
};

bool operator > (elem e1, elem e2) {
  return e1.cost > e2.cost;
}

int n, m, s, d, ctot;
int from[NMAX + 5];
int mind[NMAX + 5], reald[NMAX + 5];
int bfd[NMAX + 5];
int cf[NMAX + 5][NMAX + 5], cost[NMAX + 5][NMAX + 5];

vector<int> v[NMAX + 5];
priority_queue<elem, vector<elem>, greater<elem>> pq;

bool in_queue[NMAX + 5];
queue<int> q;

void bellman_ford(int start) {
  for(int i = 1; i <= n; i++)
    bfd[i] = CMAX;
  q.push(start);
  in_queue[start] = true;
  bfd[start] = 0;

  while(!q.empty()) {
    int crt = q.front();
    q.pop();

    in_queue[crt] = false;
    for(int vec: v[crt]) {
      if(cf[crt][vec] == 0)
        continue;
      int new_d = bfd[crt] + cost[crt][vec];

      if(new_d < bfd[vec]) {
        bfd[vec] = new_d;
        if(!in_queue[vec]) {
          q.push(vec);
          in_queue[vec] = true;
        }
      }
    }
  }
}

bool dijkstra(int start) {
  bool vizd = false;

  for(int i = 1; i <= n; i++) {
    mind[i] = CMAX;
    from[i] = -1;
  }

  pq.push(elem(start, 0, -1));
  mind[start] = 0;
  reald[start] = 0;

  while(!pq.empty()) {
    elem crt = pq.top();
    pq.pop();
    if(crt.cost > mind[crt.nod])
      continue;
    if(crt.nod == d) {
      vizd = true;
      continue;
    }

    for(int vec: v[crt.nod]) {
      if(cf[crt.nod][vec] <= 0)
        continue;
      int new_d = crt.cost + cost[crt.nod][vec] + bfd[crt.nod] - bfd[vec];

      if(new_d < mind[vec]) {
        pq.push(elem(vec, new_d, crt.nod));
        mind[vec] = new_d;
        reald[vec] = reald[crt.nod] + cost[crt.nod][vec];
        from[vec] = crt.nod;
      }
    }
  }

  for(int i = 1; i <= n; i++)
    bfd[i] = reald[i];

  return vizd;
}

void add_flux() {
  int fmin = FMAX;

  for(int nod = d; from[nod] != -1; nod = from[nod])
    fmin = min(fmin, cf[from[nod]][nod]);

  for(int nod = d; from[nod] != -1; nod = from[nod]) {
    cf[from[nod]][nod] -= fmin;
    cf[nod][from[nod]] += fmin;
  }
  ctot += fmin * reald[d];
}

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

  scanf("%d %d %d %d", &n, &m, &s, &d);
  for(int i = 0; i < m; i++) {
    int x, y, z, t;

    scanf("%d %d %d %d", &x, &y, &z, &t);
    cf[x][y] = z;
    cost[x][y] = t;
    v[x].push_back(y);

    cf[y][x] = 0;
    cost[y][x] = -t;
    v[y].push_back(x);
  }

  bellman_ford(s);
  while(dijkstra(s))
    add_flux();

  printf("%d", ctot);

  return 0;
}