#include <bits/stdc++.h>
#include <cassert>
#pragma GCC optimize("O3")
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#pragma GCC target("avx,avx2,fma")
using namespace std;
typedef long long ll;
typedef pair<ll, ll> pll;
typedef pair<int, int> pii;
#define MAX 1010100
#define MAXS 17
#define INF 10000000000000
#define bb ' '
#define ln '\n'
#define Ln '\n'
pii operator+(pii p1, pii p2) {
if (!~p1.first) return p2;
if (!~p2.first) return p1;
return pii(min(p1.first, p2.first), max(p1.second, p2.second));
}
void operator+=(pii& p1, pii p2) { p1 = p1 + p2; }
pii operator+(pii p1, int x) {
if (!~p1.first) return p1;
return pii(p1.first + x, p1.second + x);
}
void operator+=(pii& p1, int x) { p1 = p1 + x; }
bool ison(pii p, int x) { return p.first <= x && x <= p.second; }
pii dp[2][MAX];
int arr[2][MAX];
int ans[MAX];
signed main() {
ios::sync_with_stdio(false), cin.tie(0);
int N;
cin >> N;
int i;
for (i = 1; i <= N * 2; i++) cin >> arr[0][i];
for (i = 1; i <= N * 2; i++) cin >> arr[1][i];
for (i = 1; i <= N * 2; i++) dp[0][i] = dp[1][i] = pii(-1, -1);
dp[0][0] = pii(-1, N * 2);
dp[1][0] = pii(-1, N * 2);
dp[0][1] = pii(0, 0);
dp[1][1] = pii(1, 1);
for (i = 2; i <= N * 2; i++) for (auto c : { 0, 1 }) for (auto p : { 0, 1 }) if (arr[p][i - 1] <= arr[c][i]) dp[c][i] += dp[p][i - 1] + c;
auto resintv = dp[0][N * 2] + dp[1][N * 2];
if (!ison(resintv, N)) {
cout << -1 << ln;
return 0;
}
int pv = 1e9 + 10;
int rem = N;
for (i = N * 2; i >= 1; i--) {
int c;
for (c = 0; c < 2; c++) {
if (arr[c][i] > pv) continue;
int chk = 0;
for (auto p : { 0, 1 }) if (((i - 1) >= (rem - c)) && arr[p][i - 1] <= arr[c][i] && ison(dp[p][i - 1], rem - c)) chk = 1;
if (chk) break;
}
pv = arr[c][i];
ans[i] = c;
rem -= c;
}
for (i = 1; i <= N * 2; i++) cout << (!ans[i] ? 'A' : 'B');
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
340 KB |
Output is correct |
| 2 |
Correct |
1 ms |
336 KB |
Output is correct |
| 3 |
Correct |
1 ms |
340 KB |
Output is correct |
| 4 |
Correct |
1 ms |
340 KB |
Output is correct |
| 5 |
Correct |
1 ms |
468 KB |
Output is correct |
| 6 |
Correct |
2 ms |
468 KB |
Output is correct |
| 7 |
Correct |
2 ms |
468 KB |
Output is correct |
| 8 |
Correct |
1 ms |
468 KB |
Output is correct |
| 9 |
Correct |
1 ms |
468 KB |
Output is correct |
| 10 |
Correct |
1 ms |
468 KB |
Output is correct |
| 11 |
Correct |
2 ms |
468 KB |
Output is correct |
| 12 |
Correct |
2 ms |
468 KB |
Output is correct |
| 13 |
Correct |
2 ms |
468 KB |
Output is correct |
| 14 |
Correct |
2 ms |
468 KB |
Output is correct |
| 15 |
Correct |
2 ms |
472 KB |
Output is correct |
| 16 |
Correct |
2 ms |
464 KB |
Output is correct |
| 17 |
Correct |
2 ms |
468 KB |
Output is correct |
| 18 |
Correct |
2 ms |
548 KB |
Output is correct |
| 19 |
Correct |
2 ms |
468 KB |
Output is correct |
| 20 |
Correct |
1 ms |
468 KB |
Output is correct |
| 21 |
Correct |
1 ms |
468 KB |
Output is correct |
| 22 |
Correct |
1 ms |
504 KB |
Output is correct |
| 23 |
Correct |
1 ms |
468 KB |
Output is correct |
| 24 |
Correct |
2 ms |
464 KB |
Output is correct |
| 25 |
Correct |
1 ms |
468 KB |
Output is correct |
| 26 |
Correct |
1 ms |
468 KB |
Output is correct |
| 27 |
Correct |
2 ms |
468 KB |
Output is correct |
| 28 |
Correct |
1 ms |
468 KB |
Output is correct |
| 29 |
Correct |
1 ms |
468 KB |
Output is correct |
| 30 |
Correct |
1 ms |
468 KB |
Output is correct |
| 31 |
Correct |
1 ms |
468 KB |
Output is correct |
| 32 |
Correct |
1 ms |
468 KB |
Output is correct |
| 33 |
Correct |
2 ms |
468 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
340 KB |
Output is correct |
| 2 |
Correct |
1 ms |
336 KB |
Output is correct |
| 3 |
Correct |
1 ms |
340 KB |
Output is correct |
| 4 |
Correct |
1 ms |
340 KB |
Output is correct |
| 5 |
Correct |
1 ms |
468 KB |
Output is correct |
| 6 |
Correct |
2 ms |
468 KB |
Output is correct |
| 7 |
Correct |
2 ms |
468 KB |
Output is correct |
| 8 |
Correct |
1 ms |
468 KB |
Output is correct |
| 9 |
Correct |
1 ms |
468 KB |
Output is correct |
| 10 |
Correct |
1 ms |
468 KB |
Output is correct |
| 11 |
Correct |
2 ms |
468 KB |
Output is correct |
| 12 |
Correct |
2 ms |
468 KB |
Output is correct |
| 13 |
Correct |
2 ms |
468 KB |
Output is correct |
| 14 |
Correct |
2 ms |
468 KB |
Output is correct |
| 15 |
Correct |
2 ms |
472 KB |
Output is correct |
| 16 |
Correct |
2 ms |
464 KB |
Output is correct |
| 17 |
Correct |
2 ms |
468 KB |
Output is correct |
| 18 |
Correct |
2 ms |
548 KB |
Output is correct |
| 19 |
Correct |
2 ms |
468 KB |
Output is correct |
| 20 |
Correct |
1 ms |
468 KB |
Output is correct |
| 21 |
Correct |
1 ms |
468 KB |
Output is correct |
| 22 |
Correct |
1 ms |
504 KB |
Output is correct |
| 23 |
Correct |
1 ms |
468 KB |
Output is correct |
| 24 |
Correct |
2 ms |
464 KB |
Output is correct |
| 25 |
Correct |
1 ms |
468 KB |
Output is correct |
| 26 |
Correct |
1 ms |
468 KB |
Output is correct |
| 27 |
Correct |
2 ms |
468 KB |
Output is correct |
| 28 |
Correct |
1 ms |
468 KB |
Output is correct |
| 29 |
Correct |
1 ms |
468 KB |
Output is correct |
| 30 |
Correct |
1 ms |
468 KB |
Output is correct |
| 31 |
Correct |
1 ms |
468 KB |
Output is correct |
| 32 |
Correct |
1 ms |
468 KB |
Output is correct |
| 33 |
Correct |
2 ms |
468 KB |
Output is correct |
| 34 |
Correct |
229 ms |
25928 KB |
Output is correct |
| 35 |
Correct |
246 ms |
44516 KB |
Output is correct |
| 36 |
Correct |
235 ms |
43852 KB |
Output is correct |
| 37 |
Correct |
248 ms |
44756 KB |
Output is correct |
| 38 |
Correct |
231 ms |
44728 KB |
Output is correct |
| 39 |
Correct |
238 ms |
43820 KB |
Output is correct |
| 40 |
Correct |
253 ms |
36196 KB |
Output is correct |
| 41 |
Correct |
240 ms |
44904 KB |
Output is correct |
| 42 |
Correct |
259 ms |
37424 KB |
Output is correct |
| 43 |
Correct |
287 ms |
31264 KB |
Output is correct |
| 44 |
Correct |
264 ms |
31572 KB |
Output is correct |
| 45 |
Correct |
268 ms |
31436 KB |
Output is correct |
| 46 |
Correct |
256 ms |
31308 KB |
Output is correct |
| 47 |
Correct |
261 ms |
42408 KB |
Output is correct |
| 48 |
Correct |
252 ms |
46848 KB |
Output is correct |
| 49 |
Correct |
257 ms |
34368 KB |
Output is correct |
| 50 |
Correct |
275 ms |
42524 KB |
Output is correct |
| 51 |
Correct |
266 ms |
42996 KB |
Output is correct |
| 52 |
Correct |
197 ms |
36300 KB |
Output is correct |
| 53 |
Correct |
197 ms |
36324 KB |
Output is correct |
| 54 |
Correct |
190 ms |
36224 KB |
Output is correct |
| 55 |
Correct |
201 ms |
36036 KB |
Output is correct |
| 56 |
Correct |
278 ms |
31640 KB |
Output is correct |
| 57 |
Correct |
220 ms |
43200 KB |
Output is correct |
| 58 |
Correct |
217 ms |
43276 KB |
Output is correct |
| 59 |
Correct |
214 ms |
43308 KB |
Output is correct |
| 60 |
Correct |
206 ms |
41124 KB |
Output is correct |
| 61 |
Correct |
222 ms |
43680 KB |
Output is correct |
| 62 |
Correct |
224 ms |
43096 KB |
Output is correct |
| 63 |
Correct |
215 ms |
43700 KB |
Output is correct |
| 64 |
Correct |
224 ms |
42108 KB |
Output is correct |
| 65 |
Correct |
229 ms |
43844 KB |
Output is correct |
