Submission #1038150

#TimeUsernameProblemLanguageResultExecution timeMemory
1038150WhisperRigged Roads (NOI19_riggedroads)C++17
100 / 100
353 ms92940 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; #define MAX 300005 #define LOG 20 bool in[MAX]; struct Edge{ int u, v; Edge(){} Edge(int _u, int _v):u(_u), v(_v){} int other(int x){ return (x ^ u ^ v); } } edge[MAX]; vector<int> G[MAX]; int up[MAX][21], to[MAX], dep[MAX]; void dfs(int u, int p = -1){ for (int&i : G[u]){ int v = edge[i].other(u); if(v ^ p){ up[v][0] = u; dep[v] = dep[u] + 1; to[v] = i; for (int i = 1; i < LOG; ++i) up[v][i] = up[up[v][i - 1]][i - 1]; dfs(v, u); } } } int lca(int u, int v){ if (dep[u] < dep[v]) swap(u, v); int dis = dep[u] - dep[v]; for (int i = 0; MASK(i) <= dis; ++i) if(BIT(dis, i)){ u = up[u][i]; } if(u == v) return u; int k = __lg(dep[u]); for (int i = k; i >= 0; --i) if(up[u][i] != up[v][i]){ u = up[u][i], v = up[v][i]; } return up[u][0]; } bool assigned[MAX]; int ans[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; } void process(void){ cin >> numNode >> numEdge; for (int i = 1; i <= numEdge; ++i){ cin >> edge[i].u >> edge[i].v; } for (int i = 1; i < numNode; ++i){ int id; cin >> id; G[edge[id].u].emplace_back(id); G[edge[id].v].emplace_back(id); in[id] = true; } dfs(1); int label = 0; for (int i = 1; i <= numNode; ++i) pa[i] = i; for (int i = 1; i <= numEdge; ++i){ if(assigned[i]) continue; assigned[i] = true; if(in[i]){ ans[i] = ++label; if (dep[edge[i].u] < dep[edge[i].v]) swap(edge[i].u, edge[i].v); joint(edge[i].v, edge[i].u); continue; } vector<int> target; int anc = lca(edge[i].u, edge[i].v); for (int node : {edge[i].u, edge[i].v}){ while(node != anc && dep[find(node)] >= dep[anc]){ node = find(node); if(node == anc) break; if (to[node]) target.push_back(to[node]); joint(up[node][0], node); node = up[node][0]; } } sort(target.begin(), target.end()); for (int &id : target){ if(assigned[id]) continue; ans[id] = ++label; assigned[id] = true; } ans[i] = ++label; } for (int i = 1; i <= numEdge; ++i){ cout << ans[i] << " "; } } 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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