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2130.cpp
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#include <bits/stdc++.h>
using namespace std;
const int N = 505, INF = 1e9;
struct Edge {
int v, flow, cap, cost;
};
int n, m, k, pi[N], dist[N], par[N], ptr[N];
vector<Edge> edges;
vector<int> g[N], route;
priority_queue<pair<int, int>> q;
void add_edge(int u, int v) {
g[u].emplace_back(edges.size());
edges.push_back({v, 0, 1, 1});
g[v].emplace_back(edges.size());
edges.push_back({u, 0, 0, -1});
}
void path() {
fill(dist + 1, dist + 1 + n, INF);
q.emplace(dist[1] = 0, 1);
while (!q.empty()) {
auto [du, u] = q.top(); q.pop();
du = -du;
if (du != dist[u]) continue;
for (int id: g[u]) {
auto &e = edges[id];
int val = du + e.cost + pi[u] - pi[e.v];
if (e.flow < e.cap && dist[e.v] > val) {
dist[e.v] = val;
par[e.v] = id ^ 1;
q.emplace(-dist[e.v], e.v);
}
}
}
}
void trace(int u) {
route.emplace_back(u);
if (u == n) return;
while (ptr[u] < (int)g[u].size()) {
int id = g[u][ptr[u]++];
if (edges[id].flow > 0) {
--edges[id].flow;
++edges[id ^ 1].flow;
trace(edges[id].v);
return;
}
}
}
int main() {
ios::sync_with_stdio(false); cin.tie(0); cout.tie(0);
cin >> n >> m >> k;
for (int u, v; m--;) {
cin >> u >> v;
add_edge(u, v);
}
for (int t = 1; t <= k; ++t) {
if ((path(), dist[n] == INF)) {
cout << "-1\n";
return 0;
}
for (int i = 1; i <= n; ++i) {
pi[i] = min(pi[i] + dist[i], INF);
}
for (int u = n; u != 1; u = edges[par[u]].v) {
++edges[par[u] ^ 1].flow;
--edges[par[u]].flow;
}
}
int cost = 0;
for (auto &e: edges) {
if (e.cap) cost += e.flow;
}
cout << cost << "\n";
while (k--) {
route.clear();
trace(1);
cout << route.size() << "\n";
for (int u: route) {
cout << u << " ";
}
cout << "\n";
}
return 0;
}