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 int N = (int) 1e5 + 10;
const char STATE[] = {'A', 'R', '?'};
int n, q;
int type[N];
vector<pair<int, int>> g[N];
pair<int, int> qq[N];
int parent[N];
int state[N];
int res[N];
int ancestor(int u) {
if (parent[u] == u) return u;
return parent[u] = ancestor(parent[u]);
}
void join(int u, int v) {
u = ancestor(u); v = ancestor(v);
if (u == v) return;
parent[v] = u;
}
void dfs(int u) {
for (const auto& x : g[u]) {
int v = x.first, change = x.second;
if (state[v] != -1) continue;
state[v] = state[u] ^ change;
dfs(v);
}
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr); cout.tie(nullptr);
cin >> n >> q;
for (int i = 1; i <= q; ++ i) {
char c; cin >> c;
cin >> qq[i].first >> qq[i].second;
int u = qq[i].first, v = qq[i].second;
if (c == 'A') {
g[u].push_back(make_pair(v, 1));
g[v].push_back(make_pair(u, 1));
}
else if (c == 'R') {
g[u].push_back(make_pair(v, 0));
g[v].push_back(make_pair(u, 0));
}
else {
type[i] = 1;
}
}
memset(state, -1, sizeof(state));
for (int i = 1; i <= n; ++ i) {
if (state[i] == -1) {
state[i] = 0;
dfs(i);
}
}
for (int i = 1; i <= n; ++ i) parent[i] = i;
for (int i = 1; i <= q; ++ i) {
int u = qq[i].first, v = qq[i].second;
if (type[i] == 0) {
join(u, v);
}
else {
int res = 2;
if (ancestor(u) == ancestor(v)) {
res = (state[u] == state[v]);
}
cout << STATE[res] << '\n';
}
}
return 0;
}
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