#include "../util.h" #include #include int naive(const vector>& edges, int n) { int res = 0; for (int i = 1; i < (1ll << ssize(edges)); i++) { vector deg(n); init(n); int cycles = 0; for (int j = 0; j < ssize(edges); j++) { if (((i >> j) & 1) != 0) { auto [a, b] = edges[j]; deg[a]++; deg[b]++; if (findSet(a) != findSet(b)) { unionSets(a, b); } else { cycles++; } } } bool ok = cycles == 1; for (auto d : deg) ok &= d == 0 || d == 2; if (ok) res++; } return res; } void stress_test() { ll queries = 0; for (int tries = 0; tries < 50'000; tries++) { int n = Random::integer(1, 8); int m = Random::integer(0, min(15, n*(n-1) / 2 + 1)); Graph g(n); g.erdosRenyi(m); vector> edges; cycles cyc(n); g.forEdges([&](int a, int b){ edges.emplace_back(a, b); cyc.addEdge(a, b); }); int expected = naive(edges, n); int got = cyc.count(); if (got != expected) cerr << "got: " << got << ", expected: " << expected << FAIL; queries += n; } cerr << "tested random queries: " << queries << endl; } constexpr int N = 100; constexpr int M = 20; void performance_test() { timer t; Graph g(N); g.tree(); g.erdosRenyi(M); cycles cyc(N); g.forEdges([&](int a, int b){ cyc.addEdge(a, b); }); t.start(); hash_t hash = cyc.count(); cerr << ssize(cyc.base) << endl; t.stop(); if (t.time > 1000) cerr << "too slow: " << t.time << FAIL; cerr << "tested performance: " << t.time << "ms (hash: " << hash << ")" << endl; } int main() { stress_test(); performance_test(); }