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 fast ios_base::sync_with_stdio(0);cin.tie(NULL);cout.tie(NULL)
#define ll long long int
#define ld long double
using namespace std;
const int N = 1e6 + 5;
const int MOD = 1e9 + 7;
vector<pair<int, int> > graph[N];
int component[N], col[N], vis[N];
void dfs(int node, int color){
if(vis[node] == true)
return;
vis[node] = true;
col[node] = color;
for(auto k : graph[node]){
if(!vis[k.first]){
if(k.second == 0)
dfs(k.first, color);
else
dfs(k.first, (color == 1 ? 2 : 1));
}
}
}
int find(int x){
while(true){
if(x == component[x])
return x;
component[x] = component[component[x]];
x = component[x];
}
}
void merge(int a, int b){
int u = find(a), v = find(b);
component[u] = component[v];
}
void solve(){
int n, m;
cin >> n >> m;
int u[m], v[m];
char x[m];
vector<char> ans;
for(int i = 1; i <= n; ++i)
component[i] = i;
for(int j = 0; j < m; ++j){
cin >> x[j] >> u[j] >> v[j];
if(x[j] == 'R'){
merge(u[j], v[j]);
graph[u[j]].push_back({v[j], 0});
graph[v[j]].push_back({u[j], 0});
}
else if(x[j] == 'A'){
merge(u[j], v[j]);
graph[u[j]].push_back({v[j], 1});
graph[v[j]].push_back({u[j], 1});
}
else{
if(find(u[j]) != find(v[j]))
ans.push_back('?');
else
ans.push_back('p');
}
}
for(int i = 1; i <= n; ++i)
if(!vis[i])
dfs(i, 1);
int ct = 0;
for(int i = 0; i < m; ++i){
if(x[i] == 'Q'){
if(ans[ct] != '?'){
if(find(u[i]) != find(v[i])) ans[ct] = '?';
else if(col[u[i]] == col[v[i]]) ans[ct] = 'R';
else ans[ct] = 'A';
}
++ct;
}
}
for(auto k : ans)
cout << k << '\n';
}
int main(){
fast;
int t = 1;
// cin >> t;
while(t--)
solve();
return 0;
}
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