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a.cpp
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/**
* @date 2023-01-07
* @tags simulation, constructive algorithms
* @difficulty 1950
*/
#include <bits/stdc++.h>
using namespace std;
int main() {
ios_base::sync_with_stdio(false), cin.tie(NULL); // Fast IO
int n;
cin >> n;
vector<vector<int>> G(n);
for (int i = 0, p, k, l; i < 5; ++i) {
cin >> p;
while (p--) {
cin >> k >> l;
--k, --l;
G[k].push_back(l), G[l].push_back(k);
}
}
stack<int> S;
vector<int> C(n, 0);
for (int i = 0; i < n; ++i) S.push(i);
while (!S.empty()) {
array<int,2> cnt{0,0};
int i = S.top();
S.pop();
for (int j : G[i]) ++cnt[C[j]];
if (cnt[C[i]] <= 2) continue;
C[i] ^= 1;
for (int j : G[i]) S.push(j);
}
for (int c : C) cout << (c?'B':'A');
cout << endl;
return 0;
}