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 <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 dsu {
const int n;
vector<int> e;
int private_find(const int x) {
return (e[x] < 0 ? x : (e[x] = private_find(e[x])));
}
public:
explicit dsu(const int n) : n(n), e(n, -1) {}
int find(const int x) {
assert(0 <= x and x < n);
return private_find(x);
}
bool unite(int x, int y) {
x = find(x), y = find(y);
if (x == y) return false;
if (e[x] > e[y]) swap(x, y);
e[x] += e[y];
e[y] = x;
return true;
}
int size(const int x) {
return -e[find(x)];
}
bool same(const int x, const int y) {
return (find(x) == find(y));
}
const int &operator[](const int i) {
return e[i];
}
};
class solution {
using int64 = int64_t;
using ld = long double;
void main() {
const int n = readInt();
int q = readInt();
dsu d(2 * n);
vector<int> opp(2 * n);
for (int i = 0; i < n; i++) {
opp[i] = i + n;
opp[i + n] = i;
}
auto repel = [&d, &opp](const int x, const int y) -> void {
const int ox = opp[x], oy = opp[y];
d.unite(x, y);
d.unite(ox, oy);
opp[d.find(x)] = d.find(ox);
opp[d.find(ox)] = d.find(x);
};
auto attract = [&repel, &opp](const int x, const int y) -> void {
repel(x, opp[y]);
};
auto ask = [&d, &opp](const int x, const int y) -> char {
if (d.same(x, y)) return 'R';
if (d.same(x, opp[y])) return 'A';
return '?';
};
while (q--) {
const char type = readChar();
const int x = readInt() - 1, y = readInt() - 1;
if (type == 'Q') {
cout << ask(x, y) << "\n";
} else if (type == 'R') {
repel(x, y);
} else {
attract(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";
}
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