Submission #89975

#TimeUsernameProblemLanguageResultExecution timeMemory
89975mra2322001One-Way Streets (CEOI17_oneway)C++14
0 / 100
3 ms1528 KiB
#include <bits/stdc++.h> #define f0(i, n) for(int i(0); i < (n); i++) #define f1(i, n) for(int i(1); i <= n; i++) #define u first #define v second using namespace std; typedef long long ll; const int N = 100002; int n, m, P; map <pair <int, int>, int> g; pair <int, int> ed[N]; vector <vector <int> > a; /// cau int num[N], low[N], cnt = 0; /// disjoin set int parent[N]; /// canh trong do thi moi pair <int, int> newed[N]; /// dinh, canh trong do thi moi int newdinh, newcanh; /// dinh u thuoc dinh moi nao int in[N]; /// lca int f[N][17], h[N]; /// cung noi int e1[N], e2[N]; map <pair <int, int>, char> Q; map <pair <int, int>, int> cau; int getroot(int u){ if(parent[u]==0) return u; parent[u] = getroot(parent[u]); return parent[u]; } void join(int u, int v){ parent[getroot(v)] = getroot(u); } void dfs(int u, int p){ num[u] = low[u] = ++cnt; for(auto v:a[u]){ if(v==p) continue; if(num[v]) low[u] = min(low[u], num[v]); else{ dfs(v, u); low[u] = min(low[u], low[v]); if(g[{u, v}]==1 && low[v] > num[u]){ newed[++newcanh] = {getroot(u), getroot(v)}; cau[{u, v}] = cau[{v, u}] = 1; } else{ join(u, v); } } } } void timcau(){ f1(i, n){ if(num[i]==0) dfs(i, i); } map <int, int> thuoc; /// dinh u thuoc cha nao f1(i, n){ int p = getroot(i); if(thuoc[p]==0) thuoc[p] = ++newdinh; in[i] = thuoc[p]; } /// clear lai do thi cu f1(i, n) a[i].clear(); f1(i, newcanh){ int u = newed[i].u, v = newed[i].v; a[in[u]].emplace_back(in[v]); a[in[v]].emplace_back(in[u]); } } void dfs2(int u){ num[u] = 1; for(auto v:a[u]){ if(num[v]) continue; f[v][0] = u; h[v] = h[u] + 1; dfs2(v); } } int lca(int u, int v){ if(h[u] < h[v]) swap(u, v); for(int k = 16; k >= 0; k--){ if(h[u] - (1ll << k) >= h[v]) u = f[u][k]; } if(u==v) return 1; for(int k = 16; k >= 0; k--){ if(f[u][k] > 0 && f[v][k] > 0 && f[u][k] != f[v][k]) u = f[u][k], v = f[v][k]; } return f[u][0]; } void buildlca(){ /// dung lai ham num f1(i, newdinh) num[i] = 0; f1(i, newdinh){ if(num[i]==0){ dfs2(i); } } f1(i, 16) f1(u, newdinh) f[u][i] = f[f[u][i - 1]][i - 1]; memset(e1, 0x3f3f3f, sizeof(e1)); memset(e2, 0x3f3f3f, sizeof(e2)); } void add1(int u, int v){ /// noi u vao v e1[u] = min(e1[u], h[v]); } void add2(int u, int v){ e2[u] = min(e2[u], h[v]); } void dfs3(int u){ num[u] = 1; for(auto v:a[u]){ if(num[v]) continue; dfs3(v); if(e1[v] <= h[u]){ Q[{u, v}] = Q[{v, u}] = 'R'; } e1[u] = min(e1[u], e1[v]); } } void dfs4(int u){ num[u] = 1; for(auto v:a[u]){ if(num[v]) continue; dfs4(v); if(e2[v] <= h[u]){ Q[{u, v}] = Q[{v, u}] = 'L'; } e2[u] = min(e2[u], e2[v]); } } void build(){ /// danh dau cac cung memset(num, 0, sizeof(num)); f1(i, newdinh){ if(num[i]==0){ dfs3(i); } } memset(num, 0, sizeof(num)); f1(i, newdinh){ if(num[i]==0){ dfs4(i); } } } int main(){ ios_base::sync_with_stdio(0); cin >> n >> m; a.resize(n + 1); f1(i, m){ int u, v; cin >> u >> v; ed[i] = {u, v}; a[u].emplace_back(v); a[v].emplace_back(u); g[{u, v}]++; g[{v, u}]++; } cin >> P; timcau(); buildlca(); while(P--){ int u, v; cin >> u >> v; /// u phai den v int x = lca(in[u], in[v]); add1(in[u], x); add2(in[v], x); } build(); f1(i, m){ int u = ed[i].u, v = ed[i].v; if(cau[{u, v}]){ if(Q.find({in[u], in[v]}) != Q.end()){ cout << Q[{in[u], in[v]}]; } else cout << "B"; } else cout << "B"; } }
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