#include "../util.h" #include vector naiveCliques; void naive(bits mask = {}, int l = 0) { bool maximal = true; for (ll i = 0; i < l; i++) { if (mask[i]) continue; if ((adj[i] & mask) == mask) maximal = false; } for (; l < sz(adj); l++) { if ((adj[l] & mask) == mask) { maximal = false; mask[l] = 1; naive(mask, l + 1); mask[l] = 0; } } if (maximal and mask.any()) naiveCliques.push_back(mask); } void stress_test() { ll queries = 0; for (int tries = 0; tries < 200'000; tries++) { int n = Random::integer(2, 15); int m = Random::integer(0, max(n, min(500, n*(n-1) / 2 + 1))); Graph g(n); g.erdosRenyi(m); adj.assign(n, {}); g.forEdges([&](int a, int b){ addEdge(a, b); }); bronKerbosch(); naiveCliques.clear(); naive(); sort(all(cliques), [](bits a, bits b){return a.to_ullong() < b.to_ullong();}); sort(all(naiveCliques), [](bits a, bits b){return a.to_ullong() < b.to_ullong();}); if (cliques != naiveCliques) cerr << "got: " << sz(cliques) << ", expected: " << sz(naiveCliques) << FAIL; queries += n; } cerr << "tested random queries: " << queries << endl; } constexpr int N = 55; constexpr int M = N*(N-1) / 2 - 2*N; void performance_test() { timer t; Graph g(N); g.erdosRenyi(M); adj.assign(N, {}); g.forEdges([&](int a, int b){ addEdge(a, b); }); t.start(); bronKerbosch(); t.stop(); hash_t hash = sz(cliques); if (t.time > 500) cerr << "too slow: " << t.time << FAIL; cerr << "tested performance: " << t.time << "ms (hash: " << hash << ")" << endl; } int main() { stress_test(); performance_test(); }