Pentru această operație este nevoie să te autentifici.
Cod sursă (job #308598)
Utilizator |
|
IP | ascuns |
---|---|---|---|
Problemă | Mincut (clasele 11-12) | Compilator | cpp | 2,52 kb |
Rundă | Arhiva de probleme | Status | evaluat |
Dată | 12 iul. 2017 17:21:02 | Scor | 18 |
#include <algorithm>
#include <iostream>
#include <fstream>
#include <climits>
#include <vector>
#include <queue>
using namespace std;
ifstream in("mincut.in");
ofstream out("mincut.out");
const int NMAX = 1000;
struct Edge{
int to;
int rev;
int flow;
int cap;
};
int n, m, src, dest;
int cap[1 + NMAX][1 + NMAX];
int rem[1 + NMAX];
int dist[1 + NMAX];
vector < Edge > g[1 + NMAX];
void addedge(int i, int j){
Edge direct = {j, g[j].size(), 0, cap[i][j]};
Edge inverse = {i, g[i].size(), 0, cap[j][i]};
g[i].push_back(direct);
g[j].push_back(inverse);
}
bool bfs(){
queue < int > q;
fill(dist + 1, dist + n + 1, -1);
dist[src] = 0;
q.push(src);
while(!q.empty()){
int from = q.front();
q.pop();
for(int i = 0; i < g[from].size(); i++){
Edge &e = g[from][i];
if(dist[e.to] < 0 && e.flow < e.cap){
dist[e.to] = dist[from] + 1;
q.push(e.to);
}
}
}
return (0 <= dist[dest]);
}
int dfs(int from, int deltaflow){
if(from == dest){
return deltaflow;
} else {
for(int i = rem[from]; i < g[from].size(); i++){
Edge &e = g[from][i];
if(dist[e.to] == dist[from] + 1){
int addflow = dfs(e.to, min(deltaflow, e.cap - e.flow));
if(0 < addflow){
e.flow += addflow;
g[e.to][e.rev].flow -= addflow;
rem[from] = i;
return addflow;
}
}
}
return 0;
}
}
int maxflow(){
int result = 0;
while(bfs()){
fill(rem + 1, rem + n + 1, 0);
while(int deltaflow = dfs(src, INT_MAX)){
result += deltaflow;
}
}
return result;
}
void finalbfs(){
queue < int > q;
fill(dist + 1, dist + n + 1, -1);
dist[src] = 0;
q.push(src);
while(!q.empty()){
int from = q.front();
q.pop();
for(int i = 0; i < g[from].size(); i++){
Edge &e = g[from][i];
if(dist[e.to] < 0 && e.flow < e.cap){
dist[e.to] = dist[from] + 1;
q.push(e.to);
} else {
out << from << ' ' << e.to << '\n';
}
}
}
}
void write(){
finalbfs();
}
int main()
{
in >> n >> m;
src = 1;
dest = n;
for(int i = 1; i <= m; i++){
int x, y, z;
in >> x >> y >> z;
cap[x][y] = z;
}
for(int i = 1; i <= n; i++){
for(int j = i + 1; j <= n; j++){
if(cap[i][j] != 0 || cap[j][i] != 0)
addedge(i, j);
}
}
out << maxflow() << '\n';
write();
in.close();
out.close();
return 0;
}