Submission #1051252

#TimeUsernameProblemLanguageResultExecution timeMemory
1051252WhisperDrivers (BOI24_drivers)C++17
100 / 100
213 ms106324 KiB
#include <bits/stdc++.h> using namespace std; using ll = long long; #define int long long #define FOR(i, a, b) for (int i = (a); i <= (b); i++) #define FORD(i, a, b) for (int i = (b); i >= (a); i --) #define REP(i, a) for (int i = 0; i < (a); ++i) #define REPD(i, a) for (int i = (a) - 1; i >= 0; --i) #define MASK(i) (1LL << (i)) #define BIT(x, i) (((x) >> (i)) & 1) constexpr ll LINF = (1ll << 60); constexpr int INF = (1ll << 30); constexpr int Mod = 1e9 + 7; mt19937 rng(chrono::steady_clock::now().time_since_epoch().count()); /* Phu Trong from Nguyen Tat Thanh High School for gifted student */ template <class X, class Y> bool minimize(X &x, const Y &y){ X eps = 1e-9; if (x > y + eps) {x = y; return 1;} return 0; } template <class X, class Y> bool maximize(X &x, const Y &y){ X eps = 1e-9; if (x + eps < y) {x = y; return 1;} return 0; } int numNode, numEdge, numQuery; #define MAX 200005 #define LOG 20 struct Edge{ int u, v, w; Edge(){} Edge(int _u, int _v, int _w): u(_u), v(_v), w(_w){} int other(int x){ return (x ^ u ^ v); } bool operator < (const Edge& oth) const{ return w < oth.w; } } edge[MAX]; vector<int> G[MAX]; int ID[MAX]; int pa[MAX]; int find(int u){ return u == pa[u] ? u : pa[u] = find(pa[u]); } bool joint(int u, int v){ u = find(u), v = find(v); if(u == v) return false; pa[v] = u; return true; } int cc = 1; int up[MAX][LOG], mx[MAX][LOG]; int dep[MAX]; void pre_dfs(int u, int p = -1){ ID[u] = cc; for (int&i : G[u]){ int v = edge[i].other(u); if(v ^ p){ up[v][0] = u; mx[v][0] = edge[i].w; dep[v] = dep[u] + 1; for (int i = 1; i < LOG; ++i){ up[v][i] = up[up[v][i - 1]][i - 1]; mx[v][i] = max(mx[v][i - 1], mx[up[v][i - 1]][i - 1]); } pre_dfs(v, u); } } } int lca(int u, int v){ if (dep[u] < dep[v]) swap(u, v); int dis = dep[u] - dep[v]; int ans = 0; for (int i = 0; MASK(i) <= dis; ++i){ if (BIT(dis, i)){ maximize(ans, mx[u][i]); u = up[u][i]; } } if (u == v) return ans; for (int i = LOG - 1; i >= 0; --i) if(up[v][i] != up[u][i]){ maximize(ans, mx[v][i]); maximize(ans, mx[u][i]); v = up[v][i], u = up[u][i]; } maximize(ans, mx[v][0]); maximize(ans, mx[u][0]); return ans; } void process(void){ cin >> numNode >> numEdge >> numQuery; for (int i = 1; i <= numEdge; ++i){ cin >> edge[i].u >> edge[i].v >> edge[i].w; } for (int i = 1; i <= numNode; ++i) pa[i] = i; sort(edge + 1, edge + numEdge + 1); for (int i = 1; i <= numEdge; ++i){ if (joint(edge[i].u, edge[i].v)){ G[edge[i].u].emplace_back(i); G[edge[i].v].emplace_back(i); } } for (int i = 1; i <= numNode; ++i) if(!ID[i]){ pre_dfs(i); ++cc; } for (int i = 1; i <= numQuery; ++i){ int u, v, w; cin >> u >> v >> w; if (ID[u] != ID[v]){ cout << "NE\n"; } else{ int val = lca(u, v); cout << (val <= w ? "TAIP\n" : "NE\n"); } } } signed main(){ #define name "Whisper" cin.tie(nullptr) -> sync_with_stdio(false); //freopen(name".inp", "r", stdin); //freopen(name".out", "w", stdout); process(); return (0 ^ 0); }
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