Submission #988493

#TimeUsernameProblemLanguageResultExecution timeMemory
988493steveonalexOne-Way Streets (CEOI17_oneway)C++17
100 / 100
78 ms24144 KiB
#include <bits/stdc++.h> using namespace std; typedef long long ll; typedef unsigned long long ull; #define MASK(i) (1ULL << (i)) #define GETBIT(mask, i) (((mask) >> (i)) & 1) #define ALL(v) (v).begin(), (v).end() ll max(ll a, ll b){return (a > b) ? a : b;} ll min(ll a, ll b){return (a < b) ? a : b;} ll LASTBIT(ll mask){return (mask) & (-mask);} int pop_cnt(ll mask){return __builtin_popcountll(mask);} int ctz(ull mask){return __builtin_ctzll(mask);} int logOf(ull mask){return 63 - __builtin_clzll(mask);} mt19937_64 rng(chrono::high_resolution_clock::now().time_since_epoch().count()); ll rngesus(ll l, ll r){return l + (ull) rng() % (r - l + 1);} 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 T> void printArr(T container, string separator = " ", string finish = "\n", ostream &out = cout){ for(auto item: container) out << item << separator; out << finish; } template <class T> void remove_dup(vector<T> &a){ sort(ALL(a)); a.resize(unique(ALL(a)) - a.begin()); } const int N = 1e5 + 69; int n, m, p; vector<int> graph[N]; int low[N], num[N], topo[N]; deque<int> st; pair<int, int> edge[N]; void dfs(int u, int p){ num[u] = low[u] = ++num[0]; st.push_back(u); for(int v: graph[u]) { if (v == p){p = -1; continue;} if (!num[v]){ dfs(v, u); minimize(low[u], low[v]); } else minimize(low[u], num[v]); } if (num[u] == low[u]){ topo[0]++; while(st.back() != u){ topo[st.back()] = topo[0]; st.pop_back(); } st.pop_back(); topo[u] = topo[0]; } } vector<pair<int, int>> bridge_tree[N]; pair<int, int> par[N]; int h[N]; void go(int u, int p){ h[u] = h[p] + 1; for(pair<int, int> v: bridge_tree[u]) if (v.first != p){ par[v.first] = {u, v.second}; go(v.first, u); } } struct DSU{ int n; vector<int> parent, sz, mi; DSU(int _n){ n = _n; parent.resize(n+1); sz.resize(n+1, 1); for(int i = 1; i<=n; ++i) parent[i] = i; mi = parent; } int find_set(int u){return (u == parent[u]) ? u : (parent[u] = find_set(parent[u]));} bool same_set(int u, int v){return find_set(u) == find_set(v);} bool join_set(int u, int v){ u = find_set(u), v = find_set(v); if (u != v){ if (sz[u] < sz[v]) {swap(u, v); mi[u] = mi[v];} parent[v] = u; sz[u] += sz[v]; return true; } return false; } int get_size(int u){return sz[find_set(u)];} int get_mi(int u){return mi[find_set(u)];} }; int main(void){ ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); cin >> n >> m; for(int i = 0; i<m; ++i){ int u, v; cin >> u >> v; edge[i] = {u, v}; graph[u].push_back(v); graph[v].push_back(u); } for(int i = 1; i<=n; ++i) if (num[i] == 0) { dfs(i, 0); } string ans(m, 'B'); for(int i = 0; i<m; ++i){ int u = edge[i].first, v = edge[i].second; u = topo[u], v = topo[v]; if (u == v) continue; bridge_tree[u].push_back({v, i}); bridge_tree[v].push_back({u, i}); } for(int i = 1; i<=topo[0]; ++i) if (h[i] == 0) { go(i, 0); } cin >> p; DSU mst(topo[0]); for(int i = 0; i<p; ++i){ int u, v; cin >> u >> v; u = topo[u], v = topo[v]; u = mst.get_mi(u); v = mst.get_mi(v); while(u != v){ if (h[u] > h[v]){ ans[par[u].second] = 'R'; mst.join_set(par[u].first, u); u = mst.get_mi(u); } else{ ans[par[v].second] = 'L'; mst.join_set(par[v].first, v); v = mst.get_mi(v); } } } for(int i= 0; i<m; ++i) if (ans[i] != 'B'){ bool to_root = (ans[i] == 'R'); int u = edge[i].first, v = edge[i].second; u = topo[u], v = topo[v]; if ((h[u] > h[v]) == to_root) ans[i] = 'R'; else ans[i] = 'L'; } cout << ans << "\n"; return 0; }
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