#include <bits/stdc++.h>
using namespace std;
#define ii pair<int, int>
#define fi first
#define se second
// #define int long long
#define ll long long
#define ld double
#define mp make_pair
#define lg2 30
#define iii pair<int, ii>
#define iiii pair<ii, ii>
#define base 29
#define eps 1e-8
#define MASK(i) (1LL << (i))
#define BIT(S, i) (((S) >> (i)) & 1)
int dx[] = {0LL, 0LL, 1, -1, 1, 1, -1, -1};
int dy[] = {1, -1, 0LL, 0LL, 1, -1, 1, -1};
const int maxn = 1e6 + 5, inf = 1e9;
const int mod = 1e9 + 7;
ii dp[maxn][2];
int a[maxn][2], n;
signed main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
#define task "task"
if (fopen(task ".inp", "r"))
{
freopen(task ".inp", "r", stdin);
freopen(task ".out", "w", stdout);
}
cin >> n;
for (int j = 0; j < 2; j++)
{
for (int i = 1; i <= 2 * n; i++)
{
cin >> a[i][j];
}
}
a[0][0] = a[0][1] = -inf;
for (int i = 1; i <= 2 * n; i++)
{
dp[i][0] = dp[i][1] = mp(inf, -inf);
for (int trc = 0; trc <= 1; trc++)
{
for (int cur = 0; cur <= 1; cur++)
{
if (a[i - 1][trc] <= a[i][cur])
{
// cout << i << " " << trc << " " << cur << '\n';
dp[i][cur].fi = min(dp[i][cur].fi, dp[i - 1][trc].fi + (1 - cur));
dp[i][cur].se = max(dp[i][cur].se, dp[i - 1][trc].se + (1 - cur));
}
}
}
}
int ok = -1;
for (int tt = 0; tt <= 1; tt++)
{
if (dp[2 * n][tt].fi <= n && dp[2 * n][tt].se >= n)
{
ok = tt;
break;
}
}
if (ok == -1)
{
cout << -1;
return 0;
}
vector<int> vec;
int cnt = n;
for (int i = 2 * n; i >= 1; i--)
{
int x = (ok ? a[i][1] : a[i][0]);
vec.push_back(ok);
cnt -= (1 - ok);
// cout << cnt << " " << x << '\n';
if (a[i - 1][1] <= x && dp[i - 1][1].fi <= cnt && dp[i - 1][1].se >= cnt)
ok = 1;
else
ok = 0;
}
reverse(vec.begin(), vec.end());
for (int x : vec)
{
cout << (x ? 'B' : 'A');
}
cerr << endl
<< "TIME : " << clock() * 0.001 << "s" << endl;
}
Compilation message (stderr)
building4.cpp: In function 'int main()':
building4.cpp:31:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
31 | freopen(task ".inp", "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
building4.cpp:32:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
32 | freopen(task ".out", "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~
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