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- #include <iostream>
- #include <vector>
- #include <map>
- #include <queue>
- #include <set>
- using namespace std;
- struct Edge {
- int from = 0, to = 0, c = 0;
- Edge() = default;
- Edge(int a, int b, int c_) {
- from = a;
- to = b;
- c = c_;
- }
- };
- int INF = 1000000001;
- int n, m;
- vector<vector<int>> ans;
- vector<Edge> edges;
- vector<int> ind[501];
- vector<int> path;
- vector<bool> used;
- int dfs(int v, int f) {
- if (f <= 0) {
- return 0;
- }
- if (v == n) {
- path.push_back(f);
- ans.push_back(path);
- return f;
- }
- used[v] = true;
- for (int e : ind[v]) {
- if (edges[e].c > 0 && !used[edges[e].to]) {
- path.push_back(e >> 1);
- int tempf = dfs(edges[e].to, min(f, edges[e].c));
- if (tempf) {
- edges[e].c -= tempf;
- edges[e ^ 1].c += tempf;
- return tempf;
- }
- path.pop_back();
- }
- }
- return 0;
- }
- void find_decomposition() {
- int curf = dfs(1, INF);
- while (curf > 0) {
- path.clear();
- fill(used.begin(), used.end(), false);
- curf = dfs(1, INF);
- }
- cout << ans.size() << "\n";
- for (auto & an : ans) {
- cout << an.back() << " " << an.size() - 1 << " ";
- for (int j = 0; j < an.size() - 1; ++j) {
- cout << an[j] + 1 << " ";
- }
- cout << "\n";
- }
- }
- int main() {
- cin >> n >> m;
- used.resize(n + 1);
- for (int i = 0; i < m; ++i) {
- int from, to, cap;
- cin >> from >> to >> cap;
- edges.emplace_back(from, to, cap);
- ind[from].push_back(i << 1);
- edges.emplace_back(to, from, -cap);
- ind[to].push_back((i << 1) + 1);
- }
- find_decomposition();
- return 0;
- }
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