This documentation is automatically generated by online-judge-tools/verification-helper
#define PROBLEM "https://onlinejudge.u-aizu.ac.jp/courses/library/5/GRL/6/GRL_6_A"
#include "../memo/macro.hpp"
#include "../graph/ford_fulkerson.cpp"
signed main(void) {
ll v, e;
cin >> v >> e;
FordFulkerson flow(v);
REP(i, e) {
ll u, v, c;
cin >> u >> v >> c;
flow.add_edge(u, v, c);
}
cout << flow.max_flow(0, v-1) << endl;
return 0;
}
#line 1 "test/GRL6A_1.test.cpp"
#define PROBLEM "https://onlinejudge.u-aizu.ac.jp/courses/library/5/GRL/6/GRL_6_A"
#line 1 "memo/macro.hpp"
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using PII = pair<ll, ll>;
#define FOR(i, a, n) for (ll i = (ll)a; i < (ll)n; ++i)
#define REP(i, n) FOR(i, 0, n)
#define ALL(x) x.begin(), x.end()
template<typename T> void chmin(T &a, const T &b) { a = min(a, b); }
template<typename T> void chmax(T &a, const T &b) { a = max(a, b); }
struct FastIO {FastIO() { cin.tie(0); ios::sync_with_stdio(0); }}fastiofastio;
const ll INF = 1LL<<60;
#line 1 "graph/ford_fulkerson.cpp"
// BEGIN CUT
struct FordFulkerson {
struct edge {
int to;
ll cap;
int rev;
bool isrev;
};
vector<vector<edge>> g;
vector<int> used;
int timestamp;
ll dfs(int idx, const int t, ll flow) {
if(idx == t) return flow;
used[idx] = timestamp;
for(auto &e : g[idx]) {
if(e.cap > 0 && used[e.to] != timestamp) {
ll d = dfs(e.to, t, min(flow, e.cap));
if(d > 0) {
e.cap -= d;
g[e.to][e.rev].cap += d;
return d;
}
}
}
return 0;
}
FordFulkerson() {}
FordFulkerson(int n) : timestamp(0), g(n), used(n, -1) {}
void add_edge(int from, int to, ll cap) {
g[from].emplace_back((edge){to, cap, (int)g[to].size(), false});
g[to].emplace_back((edge){from, 0, (int)g[from].size()-1, true});
}
ll max_flow(int s, int t) {
ll flow = 0;
++timestamp;
for(ll f; (f = dfs(s, t, INF)) > 0; timestamp++) {
flow += f;
}
return flow;
}
friend ostream &operator <<(ostream& out, const FordFulkerson& a){
out << "-----" << endl;
for(int i = 0; i < (int)a.g.size(); i++) {
for(auto &e : a.g[i]) {
if(e.isrev) continue;
auto &rev_e = a.g[e.to][e.rev];
out << i << "->" << e.to << " (flow: " << rev_e.cap << "/" << e.cap + rev_e.cap << ")" << endl;
}
}
out << "-----" << endl;
return out;
}
};
// END CUT
#line 4 "test/GRL6A_1.test.cpp"
signed main(void) {
ll v, e;
cin >> v >> e;
FordFulkerson flow(v);
REP(i, e) {
ll u, v, c;
cin >> u >> v >> c;
flow.add_edge(u, v, c);
}
cout << flow.max_flow(0, v-1) << endl;
return 0;
}