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10480.cpp
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// Sabotage
#include <bits/stdc++.h>
using namespace std;
int bfs(vector<vector<int> > rGraph, int s, int t, int parent[])
{
bool visited[rGraph.size()];
memset(visited, 0, sizeof(visited));
queue<int> q;
q.push(s);
visited[s] = true;
parent[s] = -1;
while (!q.empty()){
int u = q.front();
q.pop();
for (int v = 0; v < rGraph.size(); v++){
if (visited[v] == false && rGraph[u][v] > 0){
q.push(v);
parent[v] = u;
visited[v] = true;
}
}
}
return (visited[t] == true);
}
void dfs(vector<vector<int> > rGraph, int s, bool visited[])
{
visited[s] = true;
for (int i = 0; i < rGraph.size(); i++)
if (rGraph[s][i] && !visited[i])
dfs(rGraph, i, visited);
}
void minCut(vector<vector<int> > graph, int s, int t, int V)
{
int u, v;
vector<vector<int> > rGraph(V, vector<int>(V, 0));
for (u = 0; u < V; u++)
for (v = 0; v < V; v++)
rGraph[u][v] = graph[u][v];
int parent[V];
while (bfs(rGraph, s, t, parent))
{
int path_flow = INT_MAX;
for (v = t; v != s; v = parent[v])
{
u = parent[v];
path_flow = min(path_flow, rGraph[u][v]);
}
for (v = t; v != s; v = parent[v])
{
u = parent[v];
rGraph[u][v] -= path_flow;
rGraph[v][u] += path_flow;
}
}
bool visited[V];
memset(visited, false, sizeof(visited));
dfs(rGraph, s, visited);
for (int i = 0; i < V; i++)
for (int j = 0; j < V; j++)
if (visited[i] && !visited[j] && graph[i][j])
cout << i+1 << " " << j+1 << endl;
return;
}
int main(){
int n, m;
while (scanf("%d %d", &n, &m) && n != 0 && m != 0){
vector<vector<int> > g(n, vector<int>(n, 0));
for(int i=0; i<m; i++){
int x, y, w;
cin >> x >> y >> w;
g[x-1][y-1] = w;
g[y-1][x-1] = w;
}
minCut(g, 0, 1, n);
cout << endl;
}
return 0;
}