/* Problem URL: https://cses.fi/problemset/task/1694 */ #include using namespace std; #define V vector #define rmin(a, b) a = min(a, b) #define rmax(a, b) a = max(a, b) #define rep(i, lim) for (size_t i = 0; i < (lim); i++) #define nrep(i, s, lim) for (size_t i = s; i < (lim); i++) #define repv(i, v) for (auto &i : (v)) #define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; } #define sortv(v) sort(v.begin(), v.end()) #define all(v) (v).begin(), (v).end() using vi = vector; using vvi = vector; using vvvi = vector; using vvvvi = vector; using ll = long long; using vl = vector; using vvl = vector; using vvvl = vector; using vvvvl = vector; template auto operator<<(ostream &os, const vector &vec)->ostream& { os << vec[0]; for (size_t i = 1; i < vec.size(); i++) { os << ' ' << vec[i]; } os << '\n'; return os; } template auto operator>>(istream &is, vector &vec)->istream& { for (auto &i : vec) { is >> i; } return is; } template auto operator<<(ostream &os, const vector> &vec)->ostream& { for (auto &i : vec) { os << i[0]; for (size_t j = 1; j < i.size(); j++) { os << ' ' << i[j]; } os << '\n'; } return os; } template auto operator>>(istream &is, vector> &vec)->istream& { for (auto &i : vec) { for (auto &j : i) { is >> j; } } return is; } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int n, m; cin >> n >> m; vvi graph(n); V> edges; while (m--) { ll a, b, c; cin >> a >> b >> c; a--, b--; graph[a].push_back(edges.size()); edges.emplace_back(b, c, 0); graph[b].push_back(edges.size()); edges.emplace_back(a, 0, 0); } int inf = INT32_MAX >> 1; auto flux = [&](){ vi level(n); auto bfs = [&](){ queue q; level[0] = 0; q.push(0); while (!q.empty()) { int i = q.front(); q.pop(); for (auto id : graph[i]) { auto [j, c, u] = edges[id]; if (level[i] + 1 < level[j] && c != u) { level[j] = level[i] + 1; q.push(j); } } } return level[n - 1] != inf; }; V vis(n); function dfs = [&](int i, ll flux){ if (flux == 0) { return 0LL; } if (i == n - 1) { return flux; } for (auto id : graph[i]) { auto &[j, c, u] = edges[id]; if (level[i] >= level[j] || vis[j]) { continue; } ll ans = dfs(j, min(flux, c - u)); if (ans == 0) { continue; } auto &[_, __, ud] = edges[id ^ 1]; u += ans; ud -= ans; return ans; } vis[i] = true; return 0LL; }; ll ans = 0; while (true) { fill(all(level), inf); if (!bfs()) { break; } fill(all(vis), false); ll pushed = 0; while ((pushed = dfs(0, inf))) { ans += pushed; } } return ans; }; cout << flux() << '\n'; }