제출 #570398

#제출 시각아이디문제언어결과실행 시간메모리
570398aryan12Usmjeri (COCI17_usmjeri)C++17
28 / 140
559 ms99036 KiB
#include <bits/stdc++.h> using namespace std; #define int long long //only case left: find when it is 0 mt19937_64 RNG(chrono::steady_clock::now().time_since_epoch().count()); const int N = 3e5 + 5, M = 3e5 + 5, MOD = 1e9 + 7; int depth[N]; vector<array<int, 3> > special_pairs(M); vector<int> g[N]; int dp[19][N]; int tin[N], tout[N], tim = 0; int parent[N]; int power(int a, int b) { if(b == 0) return 1; if(b == 1) return a; int x = power(a, b / 2); x = (x * x) % MOD; if(b & 1) { x = (x * a) % MOD; } return x; } void dfs(int node, int par) { tin[node] = ++tim; dp[0][node] = par; for(int to: g[node]) { if(to == par) continue; depth[to] = depth[node] + 1; dfs(to, node); } tout[node] = ++tim; } int Find(int x) { if(x == parent[x]) return x; return parent[x] = Find(parent[x]); } void Unite(int x, int y) { x = Find(x), y = Find(y); parent[x] = y; } int LCA(int x, int y) { if(depth[x] > depth[y]) swap(x, y); int diff = depth[y] - depth[x]; for(int i = 18; i >= 0; i--) { if(diff & (1 << i)) { y = dp[i][y]; } } if(x == y) return x; for(int i = 18; i >= 0; i--) { if(dp[i][x] != dp[i][y]) { x = dp[i][x]; y = dp[i][y]; } } return dp[0][x]; } void Solve() { int n, m; cin >> n >> m; for(int i = 1; i < n; i++) { parent[i] = i; int u, v; cin >> u >> v; g[u].push_back(v); g[v].push_back(u); } parent[n] = n; depth[1] = 0; dfs(1, -1); for(int i = 1; i < 19; i++) { for(int j = 1; j <= n; j++) { if(dp[i - 1][j] == -1) { dp[i][j] = -1; } else { dp[i][j] = dp[i - 1][dp[i - 1][j]]; } } } for(int i = 1; i <= m; i++) { int u, v; cin >> u >> v; int lca = LCA(u, v); special_pairs[i] = {u, lca, v}; } for(int i = 1; i <= m; i++) { // cout << special_pairs[i][0] << " " << special_pairs[i][1] << " " << special_pairs[i][2] << "\n"; int cur = special_pairs[i][0]; cur = Find(cur); while(depth[cur] > depth[special_pairs[i][1]]) { Unite(cur, dp[0][cur]); cur = Find(cur); } cur = special_pairs[i][2]; cur = Find(cur); while(depth[cur] > depth[special_pairs[i][1]]) { Unite(cur, dp[0][cur]); cur = Find(cur); } } int components = 0; for(int i = 1; i <= n; i++) { if(Find(i) == i) { components++; } } cout << power(2LL, components) << "\n"; } int32_t main() { auto begin = std::chrono::high_resolution_clock::now(); ios_base::sync_with_stdio(0); cin.tie(0); int t = 1; // cin >> t; for(int i = 1; i <= t; i++) { //cout << "Case #" << i << ": "; Solve(); } auto end = std::chrono::high_resolution_clock::now(); auto elapsed = std::chrono::duration_cast<std::chrono::nanoseconds>(end - begin); cerr << "Time measured: " << elapsed.count() * 1e-9 << " seconds.\n"; return 0; }
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