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>
#define ll long long
#define all(aaa) aaa.begin(), aaa.end()
using namespace std;
struct E {
int to, i;
bool straight;
};
const int N = 1e5 + 5, L = 19;
vector<E> g[N], g2[N], t[N];
int tin[N], mnt[N], tint[N], toutt[N], w[N][2], par[N][L],
col[N];
int timer = 1;
string ans;
bool used[N];
void dfs(int node, int anc) {
mnt[node] = tin[node] = timer++;
for (E e : g[node]) {
if (e.i != anc) {
if (!tin[e.to]) {
dfs(e.to, e.i);
mnt[node] = min(mnt[node], mnt[e.to]);
if (mnt[e.to] <= tin[node]) {
g2[node].push_back(e);
g2[e.to].push_back({node, e.i, e.straight ^ 1});
}
}
else {
mnt[node] = min(mnt[node], tin[e.to]);
g2[node].push_back(e);
}
}
}
}
void dive(int node, int c) {
col[node] = c;
for (E e : g2[node]) {
if (col[e.to] == -1) {
dive(e.to, c);
}
}
for (E e : g[node]) {
if (col[e.to] != -1 && col[e.to] != col[node]) {
t[col[node]].push_back({col[e.to], e.i, e.straight});
t[col[e.to]].push_back({col[node], e.i, e.straight ^ 1});
}
}
}
// bool used2[N];
void walk(int node) {
// if (used2[node]) {
// cout << "AAA" << endl;
// exit(0);
// }
// used2[node] = 1;
if (node < 0 || node >= N) {
cout << "AAA" << endl;
exit(0);
}
tint[node] = ++timer;
for (int i = 1; i < L; i++) {
par[node][i] = par[par[node][i - 1]][i - 1];
}
for (E e : t[node]) {
if (e.to != par[node][0]) {
par[e.to][0] = node;
walk(e.to);
}
}
toutt[node] = timer;
}
bool upper(int a, int b) {
return tint[a] <= tint[b] && toutt[a] >= toutt[b];
}
int getLca(int a, int b) {
if (upper(a, b))
return a;
for (int i = L - 1; i >= 0; i--) {
if (!upper(par[a][i], b))
a = par[a][i];
}
return par[a][0];
}
void roam(int node) {
used[node] = 1;
for (E e : t[node]) {
if (e.to != par[node][0]) {
roam(e.to);
if (w[e.to][0]) {
ans[e.i] = (e.straight ? 'L' : 'R');
}
else if (w[e.to][1]) {
ans[e.i] = (e.straight ? 'R' : 'L');
}
w[node][0] += w[e.to][0];
w[node][1] += w[e.to][1];
}
}
}
signed main() {
ios_base::sync_with_stdio(0);
cin.tie(NULL);
int n, m, p;
cin >> n >> m;
for (int i = 0; i < m; i++) {
int a, b;
cin >> a >> b;
a--, b--;
g[a].push_back({b, i, true});
g[b].push_back({a, i, false});
}
dfs(0, -1);
fill(col, col + n, -1);
int cc = 0;
for (int i = 0; i < n; i++) {
if (col[i] == -1) {
dive(i, cc++);
}
}
for (int i = 0; i < cc; i++) {
if (!tint[i]) {
fill(par[i], par[i] + L, i);
walk(i);
}
}
ans.resize(m, 'B');
cin >> p;
for (int i = 0; i < p; i++) {
int a, b;
cin >> a >> b;
a--, b--;
a = col[a];
b = col[b];
int lca = getLca(a, b);
w[a][0]++;
w[lca][0]--;
w[b][1]++;
w[lca][1]--;
}
for (int i = 0; i < cc; i++) {
if (!used[i])
roam(i);
}
cout << ans;
return 0;
}
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