#include <bits/stdc++.h>
using namespace std;
#pragma GCC optimize ("Ofast")
typedef long long ll;
typedef long double ld;
const int MAXN = 1e6 + 25;
int a[MAXN][2], n, ans[MAXN];
pair <int, int> f[MAXN][2];
void construct (int pos, int x, int c) {
ans[pos] = c; x -= c == 0;
if (pos == 1) {
return;
}
if (a[pos][c] >= a[pos - 1][0] && f[pos - 1][0].first <= x && x <= f[pos - 1][0].second) {
construct(pos - 1, x, 0);
} else if (a[pos][c] >= a[pos - 1][1] && f[pos - 1][1].first <= x && x <= f[pos - 1][1].second) {
construct(pos - 1, x, 1);
} else {
assert(0);
}
}
void solve () {
cin >> n;
n *= 2;
for (int i = 1; i <= n; i++) {
cin >> a[i][0];
}
for (int i = 1; i <= n; i++) {
cin >> a[i][1];
}
f[1][0] = {1, 1};
f[1][1] = {0, 0};
for (int i = 2; i <= n; i++) {
f[i][0] = {-1, -1};
for (int j = 0; j < 2; j++) {
if (f[i - 1][j].first == -1) {
continue;
}
if (a[i][0] >= a[i - 1][j]) {
if (f[i][0].first == -1) {
f[i][0] = f[i - 1][j];
f[i][0].first++; f[i][0].second++;
} else {
f[i][0].first = min(f[i][0].first, 1 + f[i - 1][j].first);
f[i][0].second = max(f[i][0].second, 1 + f[i - 1][j].second);
}
}
}
f[i][1] = {-1, -1};
for (int j = 0; j < 2; j++) {
if (f[i - 1][j].first == -1) {
continue;
}
if (a[i][1] >= a[i - 1][j]) {
if (f[i][1].first == -1) {
f[i][1] = f[i - 1][j];
} else {
f[i][1].first = min(f[i][1].first, f[i - 1][j].first);
f[i][1].second = max(f[i][1].second, f[i - 1][j].second);
}
}
}
}
for (int j = 0; j < 2; j++)
if (f[n][j].first <= n / 2 && n / 2 <= f[n][j].second) {
construct(n, n / 2, j);
char v[2] = {'A', 'B'};
for (int i = 1; i <= n; i++) {
cout << v[ans[i]];
}
cout << '\n';
return;
}
cout << "-1\n";
}
signed main () {
#ifndef ONLINE_JUDGE
freopen("input_file", "r", stdin);
freopen("output_file", "w", stdout);
#endif
ios::sync_with_stdio(0); cin.tie(0);
int tc = 1; //cin >> tc;
while (tc--) solve();
}
Compilation message (stderr)
building4.cpp: In function 'int main()':
building4.cpp:79:24: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
79 | freopen("input_file", "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~
building4.cpp:80:24: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
80 | freopen("output_file", "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~
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