#include "../util.h" #include void stress_test() { ll queries = 0; for (int tries = 0; tries < 100'000; tries++) { int n = Random::integer(1, 30); int m = Random::integer(0, max(1, min(100, n*(n-1) / 2 + 1))); Graph g(n); g.erdosRenyi(m); vector> adj(n); g.forEdges([&](int a, int b){ adj[a].push_back(b); }); SCC scc(adj); auto reach = [&](int a) -> vector { vector seen(n); auto dfs = [&](auto &&self, int u) -> void { if (seen[u]) return; seen[u] = true; g.forOut(u, [&](int, int v) { self(self, v); }); }; dfs(dfs, a); return seen; }; vector seen(n); for (int i = 0; i < ssize(scc.sccs); i++) { for (int v: scc.sccs[i]) { if (scc.idx[v] != i) cerr << v << " is in scc " << i << ", but idx[" << v << "] = " << scc.idx[v] << FAIL; seen[v]++; } } for (int a = 0; a < n; a++) { if (seen[a] != 1) cerr << a << " occurs " << seen[a] << " times in sccs" << FAIL; vector reacha = reach(a); for (int b = 0; b < n; b++) { if (scc.idx[a] == scc.idx[b]) { if (!reacha[b]) cerr << a << " and " << b << " should be in different SCCs" << FAIL; } else if (scc.idx[a] < scc.idx[b]) { if (reacha[b]) cerr << a << " should come before " << b << " in topological order" << FAIL; } } } queries += n; } cerr << "tested random queries: " << queries << endl; } constexpr int N = 500'000; constexpr int M = 2'000'000; void performance_test() { timer t; Graph g(N); g.erdosRenyi(M); vector> adj(N); g.forEdges([&](int a, int b){ adj[a].push_back(b); }); t.start(); SCC scc(adj); t.stop(); hash_t hash = 0; for (int x : scc.idx) hash += x; if (t.time > 500) cerr << "too slow: " << t.time << FAIL; cerr << "tested performance: " << t.time << "ms (hash: " << hash << ")" << endl; } int main() { stress_test(); if (!sanitize) performance_test(); }