Submission #1089326

#TimeUsernameProblemLanguageResultExecution timeMemory
1089326TrinhKhanhDungOne-Way Streets (CEOI17_oneway)C++14
100 / 100
213 ms44352 KiB
#include <bits/stdc++.h> #define ll long long #define fi first #define se second #define sz(x) (int)x.size() #define ALL(v) v.begin(),v.end() #define MASK(k) (1LL << (k)) #define BIT(x, i) (((x) >> (i)) & 1) #define oo (ll)1e18 #define INF (ll)1e9 #define MOD (ll)(1e9 + 7) using namespace std; template<class T1, class T2> bool maximize(T1 &a, T2 b){if(a < b){a = b; return true;} return false;} template<class T1, class T2> bool minimize(T1 &a, T2 b){if(a > b){a = b; return true;} return false;} template<class T1, class T2> void add(T1 &a, T2 b){a += b; if(a >= MOD) a -= MOD;} template<class T1, class T2> void sub(T1 &a, T2 b){a -= b; if(a < 0) a += MOD;} template<class T> void cps(T &v){sort(ALL(v)); v.resize(unique(ALL(v)) - v.begin());} const int MAX = 1e5 + 10, LOG = 17; int N, M, T, K; vector<int> adj[MAX], nadj[MAX]; int timer, low[MAX], num[MAX], gr[MAX], h[MAX], d[MAX][LOG], in[MAX], out[MAX], tmr, ans[MAX]; ll val[MAX]; pair<int, int> edge[MAX]; vector<pair<int, int>> edges, prs; stack<int> st; map<pair<int, int>, int> mp, mp1; void tarjan(int u, int p = -1){ low[u] = num[u] = ++timer; st.push(u); for(int v: adj[u]){ if(v == p) continue; if(!num[v]) tarjan(v, u); minimize(low[u], low[v]); } if(low[u] == num[u]){ K++; while(true){ int v = st.top(); st.pop(); num[v] = low[v] = INF; gr[v] = K; if(v == u) break; } } } void dfs(int u, int p = -1){ in[u] = ++tmr; edge[tmr] = make_pair(p, u); for(int v: nadj[u]){ if(v == p) continue; h[v] = h[u] + 1; d[v][0] = u; for(int i = 1; i < LOG; i++) d[v][i] = d[d[v][i - 1]][i - 1]; dfs(v, u); } out[u] = tmr; } int lca(int u, int v){ if(h[u] < h[v]) swap(u, v); int delta = h[u] - h[v]; for(int i = 0; i < LOG; i++) if(BIT(delta, i)){ u = d[u][i]; } if(u == v) return u; for(int i = LOG - 1; i >= 0; i--) if(d[u][i] != d[v][i]){ u = d[u][i]; v = d[v][i]; } return d[v][0]; } void solve(){ cin >> N >> M; for(int i = 1; i <= M; i++){ int u, v; cin >> u >> v; adj[u].push_back(v); adj[v].push_back(u); edges.push_back({u, v}); } cin >> T; for(int i = 1; i <= T; i++){ int u, v; cin >> u >> v; prs.push_back({u, v}); } for(int i = 1; i <= N; i++) if(!num[i]){ tarjan(i); } for(int i = 0; i < sz(edges); i++){ auto o = edges[i]; mp1[make_pair(min(o.fi, o.se), max(o.fi, o.se))]++; int u = gr[o.fi], v = gr[o.se]; if(u != v){ mp[make_pair(u, v)] = i; nadj[u].push_back(v); nadj[v].push_back(u); } } for(int i = 1; i <= K; i++){ cps(nadj[i]); } for(int i = 1; i <= K; i++) if(in[i] == 0){ dfs(i); } for(auto o: prs){ int u = gr[o.fi], v = gr[o.se]; int p = lca(u, v); val[in[u]]++; val[in[p]]--; val[in[v]] += MASK(20); val[in[p]] -= MASK(20); } for(int i = K; i >= 1; i--){ val[i] += val[i + 1]; } for(int i = 2; i <= K; i++){ ll c = val[in[i]] - val[out[i] + 1]; // cout << i << ' ' << c << '\n'; int u = d[i][0], v = i; if(mp.count(make_pair(u, v))){ int id = mp[make_pair(u, v)]; if(c >= MASK(20)) ans[id] = 1; else if(c >= 1) ans[id] = 2; } else{ int id = mp[make_pair(v, u)]; if(c >= MASK(20)) ans[id] = 2; else if(c >= 1) ans[id] = 1; } } for(int i = 0; i < sz(edges); i++){ auto o = edges[i]; int u = o.fi, v = o.se; if(mp1[make_pair(min(u, v), max(u, v))] >= 2) ans[i] = 0; } for(int i = 0; i < M; i++){ if(!ans[i]) cout << "B"; else if(ans[i] == 1) cout << "R"; else cout << "L"; } } int main(){ ios_base::sync_with_stdio(0); cin.tie(0); int t = 1; // cin >> t; while(t--){ solve(); } return 0; }
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