#include <algorithm>
#include <array>
#include <cassert>
#include <chrono>
#include <cmath>
#include <cstdio>
#include <functional>
#include <iomanip>
#include <iostream>
#include <map>
#include <numeric>
#include <queue>
#include <set>
#include <string>
#include <vector>
using namespace std;
class solution {
using int64 = int64_t;
using ld = long double;
class dsu {
vector<int> e;
int find(const int x) {
return (e[x] < 0 ? x : find(e[x]));
}
public:
vector<int> opp;
explicit dsu(const int n) : e(2 * n, -1), opp(2 * n) {
for (int i = 0; i < n; i++) {
opp[i] = i + n;
opp[i + n] = i;
}
}
bool unite_same(int x, int y) {
x = find(x), y = find(y);
if (x == y) return false;
int opp_x = opp[x], opp_y = opp[y];
if (e[y] < e[x]) swap(x, y);
if (e[opp_y] < e[opp_x]) swap(opp_x, opp_y);
e[x] += e[y];
e[y] = x;
e[opp_x] += e[opp_y];
e[opp_y] = opp_x;
opp[x] = opp_x;
opp[opp_x] = x;
return true;
}
bool unite_diff(int x, int y) {
return unite_same(x, opp[y]);
}
bool same(const int x, const int y) {
return (find(x) == find(y));
}
};
void main() {
const int n = readInt();
int q = readInt();
dsu d(n);
while (q--) {
const char type = readChar();
const int x = readInt() - 1, y = readInt() - 1;
if (type == 'Q') {
if (const bool same = d.same(x, y), diff = d.same(x, d.opp[y]); same or diff) {
print(same ? 'R' : 'A'), println();
} else {
print('?'), println();
}
} else if (type == 'R') {
d.unite_same(x, y);
} else {
d.unite_diff(x, y);
}
}
}
public:
explicit solution() {
main();
}
private:
//inputting stuff (cin)
[[maybe_unused]] static int readInt() {
int x;
cin >> x;
return x;
}
[[maybe_unused]] static int64 readInt64() {
int64 x;
cin >> x;
return x;
}
[[maybe_unused]] static char readChar() {
char c;
cin >> c;
return c;
}
[[maybe_unused]] static string readString() {
string s;
cin >> s;
return s;
}
[[maybe_unused]] static double readDouble() {
return stod(readString());
}
[[maybe_unused]] static ld readLongDouble() {
return stold(readString());
}
template<typename T1, typename T2>
[[maybe_unused]] static pair<T1, T2> readPair() {
pair<T1, T2> p;
cin >> p.first >> p.second;
return p;
}
template<typename T>
[[maybe_unused]] static vector<T> readVec(const int sz) {
vector<T> v(sz);
for (T &x : v) {
cin >> x;
}
return v;
}
template<typename T>
[[maybe_unused]] static vector<vector<T>> readVecVec(const int n, const int m) {
vector<vector<T>> a(n);
for (vector<T> &v : a) {
v = readVec<T>(m);
}
return a;
}
//outputting stuff (cout)
[[maybe_unused]] static void println() { cout << '\n'; }
[[maybe_unused]] static void printsp() { cout << ' '; }
[[maybe_unused]] static void print(const int x) { cout << x; }
[[maybe_unused]] static void print(const unsigned int x) { print(int(x)); }
[[maybe_unused]] static void print(const int64 x) { cout << x; }
[[maybe_unused]] static void print(const double d, const int precision = 10) { cout << fixed << setprecision(precision) << d; }
[[maybe_unused]] static void print(const ld d, const int precision = 10) { cout << fixed << setprecision(precision) << d; }
[[maybe_unused]] static void print(const char c) { cout << c; }
[[maybe_unused]] static void print(const string &s) { cout << s; }
template<typename T1, typename T2>
[[maybe_unused]] static void print(const pair<T1, T2> &p) { print(p.first), printsp(), print(p.second); }
template<typename T>
[[maybe_unused]] static void print(const vector<T> &v) {
for (const T &x : v) {
print(x), printsp();
}
println();
}
template<typename T>
[[maybe_unused]] static void print(const vector<vector<T>> &a) {
for (const vector<T> &v : a) {
print(v);
}
}
//debugging stuff (cerr)
[[maybe_unused]] static void _println() { cerr << '\n'; }
[[maybe_unused]] static void _printsp() { cerr << ' '; }
[[maybe_unused]] static void _print(const int x) { cerr << x; }
[[maybe_unused]] static void _print(const int64 x) { cerr << x; }
[[maybe_unused]] static void _print(const unsigned int x) { cerr << x; }
[[maybe_unused]] static void _print(const double d, const int precision = 10) { cerr << fixed << setprecision(precision) << d; }
[[maybe_unused]] static void _print(const ld d, const int precision = 10) { cerr << fixed << setprecision(precision) << d; }
[[maybe_unused]] static void _print(const char c) { cerr << '\'' << c << '\''; }
[[maybe_unused]] static void _print(const string &s) { cerr << '\"' << s << '\"'; }
template<typename T1, typename T2>
[[maybe_unused]] static void _print(const pair<T1, T2> &p) {
cerr << '[';
_print(p.first);
cerr << ", ";
_print(p.second);
cerr << ']';
}
template<typename T>
[[maybe_unused]] static void _print(const vector<T> &v) {
const int n = v.size();
cerr << '{';
for (int i = 0; i < n; i++) {
_print(v[i]);
cerr << (i != n - 1 ? ", " : "");
}
cerr << '}';
}
};
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
cout.tie(nullptr);
const auto begin = std::chrono::high_resolution_clock::now();
// freopen(".in", "r", stdin);
// freopen(".out", "w", stdout);
int t = 1;
//cin >> t;
for (int tc = 1; tc <= t; tc++) {
solution();
}
const auto end = std::chrono::high_resolution_clock::now();
const auto elapsed = std::chrono::duration_cast<std::chrono::nanoseconds>(end - begin);
cerr << "Time measured: " << elapsed.count() * 1e-9 << " seconds.\n";
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
252 KB |
Output is correct |
3 |
Correct |
0 ms |
204 KB |
Output is correct |
4 |
Correct |
0 ms |
204 KB |
Output is correct |
5 |
Correct |
1 ms |
312 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
20 ms |
2568 KB |
Output is correct |
2 |
Correct |
19 ms |
2496 KB |
Output is correct |
3 |
Correct |
29 ms |
2512 KB |
Output is correct |
4 |
Correct |
20 ms |
2528 KB |
Output is correct |
5 |
Correct |
20 ms |
2508 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
21 ms |
2664 KB |
Output is correct |
2 |
Correct |
23 ms |
2588 KB |
Output is correct |
3 |
Correct |
22 ms |
2568 KB |
Output is correct |
4 |
Correct |
33 ms |
2504 KB |
Output is correct |
5 |
Correct |
34 ms |
2624 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
22 ms |
2540 KB |
Output is correct |
2 |
Correct |
33 ms |
2536 KB |
Output is correct |
3 |
Correct |
23 ms |
2440 KB |
Output is correct |
4 |
Correct |
27 ms |
2604 KB |
Output is correct |
5 |
Correct |
25 ms |
2508 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
252 KB |
Output is correct |
3 |
Correct |
0 ms |
204 KB |
Output is correct |
4 |
Correct |
0 ms |
204 KB |
Output is correct |
5 |
Correct |
1 ms |
312 KB |
Output is correct |
6 |
Correct |
1 ms |
320 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
252 KB |
Output is correct |
3 |
Correct |
0 ms |
204 KB |
Output is correct |
4 |
Correct |
0 ms |
204 KB |
Output is correct |
5 |
Correct |
1 ms |
312 KB |
Output is correct |
6 |
Correct |
20 ms |
2568 KB |
Output is correct |
7 |
Correct |
19 ms |
2496 KB |
Output is correct |
8 |
Correct |
29 ms |
2512 KB |
Output is correct |
9 |
Correct |
20 ms |
2528 KB |
Output is correct |
10 |
Correct |
20 ms |
2508 KB |
Output is correct |
11 |
Correct |
21 ms |
2664 KB |
Output is correct |
12 |
Correct |
23 ms |
2588 KB |
Output is correct |
13 |
Correct |
22 ms |
2568 KB |
Output is correct |
14 |
Correct |
33 ms |
2504 KB |
Output is correct |
15 |
Correct |
34 ms |
2624 KB |
Output is correct |
16 |
Correct |
22 ms |
2540 KB |
Output is correct |
17 |
Correct |
33 ms |
2536 KB |
Output is correct |
18 |
Correct |
23 ms |
2440 KB |
Output is correct |
19 |
Correct |
27 ms |
2604 KB |
Output is correct |
20 |
Correct |
25 ms |
2508 KB |
Output is correct |
21 |
Correct |
1 ms |
320 KB |
Output is correct |
22 |
Correct |
1 ms |
332 KB |
Output is correct |
23 |
Correct |
1 ms |
332 KB |
Output is correct |
24 |
Correct |
1 ms |
332 KB |
Output is correct |
25 |
Correct |
1 ms |
332 KB |
Output is correct |
26 |
Correct |
21 ms |
2624 KB |
Output is correct |
27 |
Correct |
26 ms |
2572 KB |
Output is correct |
28 |
Correct |
26 ms |
2492 KB |
Output is correct |
29 |
Correct |
21 ms |
2512 KB |
Output is correct |
30 |
Correct |
23 ms |
2552 KB |
Output is correct |