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;
#define int long long
#define pb push_back
typedef pair<int,int> pi;
#ifdef LOCAL
#define debug(...) __f(#__VA_ARGS__, __VA_ARGS__)
#else
#define debug(...) 69
#endif
template <typename Arg>
void __f(string name, Arg arg) {
cerr << name << " = " << arg << endl;
}
template <typename Head, typename... Tail>
void __f(string names, Head head, Tail... tail) {
string cur = "";
for (auto ch: names){if(ch==','){break;}else{cur+=ch;}}
string nxt = names.substr(cur.size()+2);
cerr << cur << " = " << head << ", ";
__f(nxt, tail...);
}
const int mxn = 1e5 + 5;
int n, q, par[mxn], sz[mxn];
bool charge[mxn];
vector<int> adj[mxn];
int root(int x) {
if (par[x] == x) return x;
return par[x] = root(par[x]);
}
bool same(int x, int y) {return root(x) == root(y);}
void unite(int x, int y) {
x = root(x), y = root(y);
if (x == y) return;
par[x] = y;
sz[y] += sz[x];
}
void dfs(int x, int p) {
charge[x] = !charge[x];
for (auto i: adj[x]) {
if (i == p) continue;
dfs(i, x);
}
}
int32_t main() {
ios_base::sync_with_stdio(0); cin.tie(0);
cin >> n >> q;
for (int i = 1; i <= n; ++i) par[i] = i, sz[i] = 1;
while (q--) {
char op; int a, b;
cin >> op >> a >> b;
if (op == 'Q') {
if (!same(a, b)) cout << '?';
else cout << (charge[a] == charge[b] ? 'R' : 'A');
cout << '\n';
} else {
if (op == 'R') {
if (charge[a] != charge[b]) {
if (sz[a] > sz[b]) swap(a, b);
dfs(a, a);
}
} else {
if (charge[a] == charge[b]) {
if (sz[a] > sz[b]) swap(a, b);
dfs(a, a);
}
}
if (!same(a, b)) {
unite(a, b);
adj[a].pb(b);
adj[b].pb(a);
}
}
}
return 0;
}
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