This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<bits/stdc++.h>
using namespace std;
const long long inf = (long long) 1e18 + 10;
const int inf1 = (int) 1e9 + 10;
#define int long long
#define dbl long double
#define endl '\n'
#define sc second
#define fr first
#define mp make_pair
#define pb push_back
#define all(x) x.begin(), x.end()
#define maxn 110000
int n, m, q;
int mark[maxn], span[maxn], h[maxn];
int low[maxn], ps[maxn];
vector<pair<int,int>> g[maxn];
pair<int,int> edg[maxn];
vector<int> roots;
void dfstree(int u, int idant, int ant) {
mark[u] = 1;
for(auto V : g[u]) {
int v = V.fr;
int id = V.sc;
if(idant == id) continue;
if(!mark[v]) {
span[id] = 1;
h[v] = h[u]+1;
dfstree(v,id,u);
}
}
}
void dfslow(int u, int idant, int ant) {
low[u] = inf;
for(auto V : g[u]) {
int v = V.fr;
int id = V.sc;
if(id == idant) continue;
if(span[id]) {
dfslow(v,id,u);
low[u] = min(low[u],low[v]);
}
else {
if(h[v] < h[u]) low[u] = min(low[u],h[v]);
}
}
}
void dfsps(int u, int ant) {
for(auto V : g[u]) {
int v = V.fr;
int id = V.sc;
if(v == ant || !span[id]) continue;
dfsps(v,u);
ps[u]+= ps[v];
}
}
void solve() {
cin >> n >> m;
for(int i = 1; i <= m; i++) {
int u, v;
cin >> u >> v;
g[u].pb(mp(v,i));
g[v].pb(mp(u,i));
edg[i] = mp(u,v);
}
for(int i = 1; i <= n; i++) {
if(!mark[i]) {
dfstree(i,0,i);
roots.pb(i);
}
}
for(auto x : roots) {
dfslow(x,0,x);
}
cin >> q;
for(int i = 1; i <= q; i++) {
int u, v;
cin >> u >> v;
ps[u]++;
ps[v]--;
}
for(auto x : roots) {
dfsps(x,x);
}
for(int i = 1; i <= m; i++) {
if(edg[i].fr == edg[i].sc) {
cout << 'B';
continue;
}
int ans = 1;
int u = edg[i].fr;
int v = edg[i].sc;
if(h[u] > h[v]) {swap(u,v); ans*= -1;}
//u e pai de v
ans*= ps[v];
if(low[v] <= h[u] || !span[i]) {
cout << 'B';
}
else {
if(ans > 0) cout << 'L';
else if(ans < 0) cout << 'R';
else cout << 'B';
}
}
cout << endl;
}
//encontrar todas as bridge edges com dfs tree
//caminho u->lc->v -- prefix sum ps[u]++, ps[v]-- -> dsfps
// + = subindo, - = descendo
int32_t main() {
ios::sync_with_stdio(false); cin.tie(0);
// freopen("in.in", "r", stdin);
//freopen("out.out", "w", stdout);
int tt = 1;
// cin >> tt;
while(tt--) solve();
return 0;
}
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