#include <bits/stdc++.h>
#pragma GCC optimize("O3", "unroll-loops")
using namespace std;
using ll = long long;
const int N = 100'000 + 10;
const char STATE[] = {'A', 'R', '?'};
struct dsu {
int n = 0;
vector<int> parent = {};
void resize(int _n) {
n = _n;
parent.resize(n + 10); for (int i = 1; i <= n; ++ i) parent[i] = i;
}
dsu() {};
dsu(int _n) { this->resize(_n); };
int ancestor(int u) {
if (parent[u] == u) return u;
return parent[u] = ancestor(parent[u]);
}
bool join(int u, int v) {
u = ancestor(u); v = ancestor(v);
if (u == v) return false;
parent[v] = u;
return true;
}
};
int n, q;
int type[N];
vector<pair<int, int>> g[N];
pair<int, int> qq[N];
int state[N];
int res[N];
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);
}
}
int32_t main() {
std::ios_base::sync_with_stdio(false);
std::cin.tie(nullptr); std::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);
}
}
dsu dsu(n);
for (int i = 1; i <= q; ++ i) {
int u = qq[i].first, v = qq[i].second;
if (type[i] == 0) {
dsu.join(u, v);
}
else {
int res = 2;
if (dsu.ancestor(u) == dsu.ancestor(v)) {
res = (state[u] == state[v]);
}
cout << STATE[res] << '\n';
}
}
return (0 ^ 0);
}
/// Code by vuavisao
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
3160 KB |
Output is correct |
2 |
Correct |
1 ms |
3164 KB |
Output is correct |
3 |
Correct |
1 ms |
3164 KB |
Output is correct |
4 |
Correct |
2 ms |
3160 KB |
Output is correct |
5 |
Correct |
2 ms |
3160 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
17 ms |
7636 KB |
Output is correct |
2 |
Correct |
21 ms |
7892 KB |
Output is correct |
3 |
Correct |
20 ms |
7120 KB |
Output is correct |
4 |
Correct |
24 ms |
7856 KB |
Output is correct |
5 |
Correct |
22 ms |
7892 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
20 ms |
8796 KB |
Output is correct |
2 |
Correct |
28 ms |
8272 KB |
Output is correct |
3 |
Correct |
26 ms |
7676 KB |
Output is correct |
4 |
Correct |
28 ms |
8788 KB |
Output is correct |
5 |
Correct |
26 ms |
8276 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
18 ms |
8540 KB |
Output is correct |
2 |
Correct |
28 ms |
8024 KB |
Output is correct |
3 |
Correct |
27 ms |
8020 KB |
Output is correct |
4 |
Correct |
28 ms |
8272 KB |
Output is correct |
5 |
Correct |
26 ms |
8284 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
3160 KB |
Output is correct |
2 |
Correct |
1 ms |
3164 KB |
Output is correct |
3 |
Correct |
1 ms |
3164 KB |
Output is correct |
4 |
Correct |
2 ms |
3160 KB |
Output is correct |
5 |
Correct |
2 ms |
3160 KB |
Output is correct |
6 |
Correct |
1 ms |
3164 KB |
Output is correct |
7 |
Correct |
1 ms |
3164 KB |
Output is correct |
8 |
Correct |
2 ms |
3084 KB |
Output is correct |
9 |
Correct |
2 ms |
3416 KB |
Output is correct |
10 |
Correct |
2 ms |
3164 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
3160 KB |
Output is correct |
2 |
Correct |
1 ms |
3164 KB |
Output is correct |
3 |
Correct |
1 ms |
3164 KB |
Output is correct |
4 |
Correct |
2 ms |
3160 KB |
Output is correct |
5 |
Correct |
2 ms |
3160 KB |
Output is correct |
6 |
Correct |
17 ms |
7636 KB |
Output is correct |
7 |
Correct |
21 ms |
7892 KB |
Output is correct |
8 |
Correct |
20 ms |
7120 KB |
Output is correct |
9 |
Correct |
24 ms |
7856 KB |
Output is correct |
10 |
Correct |
22 ms |
7892 KB |
Output is correct |
11 |
Correct |
20 ms |
8796 KB |
Output is correct |
12 |
Correct |
28 ms |
8272 KB |
Output is correct |
13 |
Correct |
26 ms |
7676 KB |
Output is correct |
14 |
Correct |
28 ms |
8788 KB |
Output is correct |
15 |
Correct |
26 ms |
8276 KB |
Output is correct |
16 |
Correct |
18 ms |
8540 KB |
Output is correct |
17 |
Correct |
28 ms |
8024 KB |
Output is correct |
18 |
Correct |
27 ms |
8020 KB |
Output is correct |
19 |
Correct |
28 ms |
8272 KB |
Output is correct |
20 |
Correct |
26 ms |
8284 KB |
Output is correct |
21 |
Correct |
1 ms |
3164 KB |
Output is correct |
22 |
Correct |
1 ms |
3164 KB |
Output is correct |
23 |
Correct |
2 ms |
3084 KB |
Output is correct |
24 |
Correct |
2 ms |
3416 KB |
Output is correct |
25 |
Correct |
2 ms |
3164 KB |
Output is correct |
26 |
Correct |
29 ms |
8796 KB |
Output is correct |
27 |
Correct |
28 ms |
8272 KB |
Output is correct |
28 |
Correct |
28 ms |
8528 KB |
Output is correct |
29 |
Correct |
28 ms |
8352 KB |
Output is correct |
30 |
Correct |
28 ms |
8468 KB |
Output is correct |