/*input
6
25 18 40 37 29 95 41 53 39 69 61 90
14 18 22 28 18 30 32 32 63 58 71 78
*/
#include <iostream>
#include <vector>
#include <algorithm>
#include <cmath>
#include <climits>
#include <cstring>
#include <cassert>
#include <stack>
#include <queue>
#include <map>
#include <set>
#include <tuple>
#include <unordered_set>
#include <unordered_map>
#include <random>
#include <chrono>
#include <utility>
#include <fstream>
using namespace std;
// #define LOCAL
#define endl '\n'
#define deb err_stream()
struct err_stream
{
template <typename T>
err_stream& operator<< (T x)
{
#ifdef LOCAL
cout << x << flush;
#endif
return *this;
}
};
using ll = int64_t;
using pii = pair<int, int>;
using vi = vector<int>;
#define fi first
#define se second
#define FOR(i, a, b) for (int i = a; i <= b; ++i)
#define FORA(i, a) for (auto &i : a)
#define FORB(i, a, b) for (int i = a; i >= b; --i)
#define SZ(a) ((int) a.size())
#define ALL(a) begin(a), end(a)
mt19937 rng(chrono::system_clock().now().time_since_epoch().count());
const int MAXN = 1000007, INF = 1e9 + 7;
int N, A[MAXN][2], L[MAXN][2], R[MAXN][2];
bool ok[MAXN][2], ans[MAXN];
void trace(int i, int k, int x)
{
if (i == 0) return;
assert(ok[i][k]);
ans[i] = k;
x -= k;
FOR(j, 0, 1) if (ok[i - 1][j] && A[i - 1][j] <= A[i][k] && L[i - 1][j] <= x && x <= R[i - 1][j]) {
trace(i - 1, j, x);
return;
}
assert(0);
}
int32_t main()
{
ios_base::sync_with_stdio(0); cin.tie(0);
cin >> N;
N <<= 1;
FOR(i, 1, N) cin >> A[i][0];
FOR(i, 1, N) cin >> A[i][1];
ok[0][0] = ok[0][1] = 1; A[N + 1][0] = INF;
FOR(i, 1, N + 1) FOR(k, 0, 1) FOR(j, 0, 1) {
if (ok[i - 1][j] && A[i - 1][j] <= A[i][k]) {
if (!ok[i][k]) {
ok[i][k] = 1;
L[i][k] = L[i - 1][j] + k;
R[i][k] = R[i - 1][j] + k;
} else {
// assert(R[i][k] >= L[i - 1][j] + k - 1);
// assert(L[i][k] <= R[i - 1][j] + k + 1);
L[i][k] = min(L[i][k], L[i - 1][j] + k);
R[i][k] = max(R[i][k], R[i - 1][j] + k);
}
}
}
if (!ok[N + 1][0] || N / 2 < L[N + 1][0] || R[N + 1][0] < N / 2) cout << -1 << endl;
else {
trace(N + 1, 0, N / 2);
FOR(i, 1, N) cout << (ans[i] ? 'B' : 'A');
cout << endl;
}
deb << "Execution time: " << 1.0 * clock() / CLOCKS_PER_SEC << endl;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
9 ms |
384 KB |
Output is correct |
2 |
Correct |
5 ms |
384 KB |
Output is correct |
3 |
Correct |
5 ms |
384 KB |
Output is correct |
4 |
Correct |
5 ms |
384 KB |
Output is correct |
5 |
Correct |
7 ms |
512 KB |
Output is correct |
6 |
Correct |
6 ms |
512 KB |
Output is correct |
7 |
Correct |
8 ms |
512 KB |
Output is correct |
8 |
Correct |
7 ms |
512 KB |
Output is correct |
9 |
Correct |
6 ms |
512 KB |
Output is correct |
10 |
Correct |
6 ms |
512 KB |
Output is correct |
11 |
Correct |
6 ms |
640 KB |
Output is correct |
12 |
Correct |
7 ms |
640 KB |
Output is correct |
13 |
Correct |
7 ms |
512 KB |
Output is correct |
14 |
Correct |
6 ms |
640 KB |
Output is correct |
15 |
Correct |
6 ms |
512 KB |
Output is correct |
16 |
Correct |
14 ms |
512 KB |
Output is correct |
17 |
Correct |
6 ms |
512 KB |
Output is correct |
18 |
Correct |
6 ms |
512 KB |
Output is correct |
19 |
Correct |
12 ms |
616 KB |
Output is correct |
20 |
Correct |
6 ms |
512 KB |
Output is correct |
21 |
Correct |
6 ms |
512 KB |
Output is correct |
22 |
Correct |
5 ms |
512 KB |
Output is correct |
23 |
Correct |
8 ms |
512 KB |
Output is correct |
24 |
Correct |
6 ms |
640 KB |
Output is correct |
25 |
Correct |
9 ms |
512 KB |
Output is correct |
26 |
Correct |
6 ms |
544 KB |
Output is correct |
27 |
Correct |
6 ms |
512 KB |
Output is correct |
28 |
Correct |
6 ms |
512 KB |
Output is correct |
29 |
Correct |
6 ms |
512 KB |
Output is correct |
30 |
Correct |
9 ms |
512 KB |
Output is correct |
31 |
Correct |
6 ms |
512 KB |
Output is correct |
32 |
Correct |
5 ms |
512 KB |
Output is correct |
33 |
Correct |
7 ms |
512 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
9 ms |
384 KB |
Output is correct |
2 |
Correct |
5 ms |
384 KB |
Output is correct |
3 |
Correct |
5 ms |
384 KB |
Output is correct |
4 |
Correct |
5 ms |
384 KB |
Output is correct |
5 |
Correct |
7 ms |
512 KB |
Output is correct |
6 |
Correct |
6 ms |
512 KB |
Output is correct |
7 |
Correct |
8 ms |
512 KB |
Output is correct |
8 |
Correct |
7 ms |
512 KB |
Output is correct |
9 |
Correct |
6 ms |
512 KB |
Output is correct |
10 |
Correct |
6 ms |
512 KB |
Output is correct |
11 |
Correct |
6 ms |
640 KB |
Output is correct |
12 |
Correct |
7 ms |
640 KB |
Output is correct |
13 |
Correct |
7 ms |
512 KB |
Output is correct |
14 |
Correct |
6 ms |
640 KB |
Output is correct |
15 |
Correct |
6 ms |
512 KB |
Output is correct |
16 |
Correct |
14 ms |
512 KB |
Output is correct |
17 |
Correct |
6 ms |
512 KB |
Output is correct |
18 |
Correct |
6 ms |
512 KB |
Output is correct |
19 |
Correct |
12 ms |
616 KB |
Output is correct |
20 |
Correct |
6 ms |
512 KB |
Output is correct |
21 |
Correct |
6 ms |
512 KB |
Output is correct |
22 |
Correct |
5 ms |
512 KB |
Output is correct |
23 |
Correct |
8 ms |
512 KB |
Output is correct |
24 |
Correct |
6 ms |
640 KB |
Output is correct |
25 |
Correct |
9 ms |
512 KB |
Output is correct |
26 |
Correct |
6 ms |
544 KB |
Output is correct |
27 |
Correct |
6 ms |
512 KB |
Output is correct |
28 |
Correct |
6 ms |
512 KB |
Output is correct |
29 |
Correct |
6 ms |
512 KB |
Output is correct |
30 |
Correct |
9 ms |
512 KB |
Output is correct |
31 |
Correct |
6 ms |
512 KB |
Output is correct |
32 |
Correct |
5 ms |
512 KB |
Output is correct |
33 |
Correct |
7 ms |
512 KB |
Output is correct |
34 |
Correct |
287 ms |
18424 KB |
Output is correct |
35 |
Correct |
318 ms |
43644 KB |
Output is correct |
36 |
Correct |
324 ms |
43008 KB |
Output is correct |
37 |
Correct |
343 ms |
43900 KB |
Output is correct |
38 |
Correct |
316 ms |
43896 KB |
Output is correct |
39 |
Correct |
322 ms |
43000 KB |
Output is correct |
40 |
Correct |
355 ms |
46452 KB |
Output is correct |
41 |
Correct |
328 ms |
44060 KB |
Output is correct |
42 |
Correct |
331 ms |
45472 KB |
Output is correct |
43 |
Correct |
384 ms |
47300 KB |
Output is correct |
44 |
Correct |
357 ms |
47120 KB |
Output is correct |
45 |
Correct |
357 ms |
47224 KB |
Output is correct |
46 |
Correct |
353 ms |
47096 KB |
Output is correct |
47 |
Correct |
336 ms |
46196 KB |
Output is correct |
48 |
Correct |
361 ms |
46048 KB |
Output is correct |
49 |
Correct |
354 ms |
46784 KB |
Output is correct |
50 |
Correct |
388 ms |
46304 KB |
Output is correct |
51 |
Correct |
371 ms |
46304 KB |
Output is correct |
52 |
Correct |
222 ms |
35448 KB |
Output is correct |
53 |
Correct |
221 ms |
35368 KB |
Output is correct |
54 |
Correct |
240 ms |
35340 KB |
Output is correct |
55 |
Correct |
215 ms |
35088 KB |
Output is correct |
56 |
Correct |
339 ms |
47356 KB |
Output is correct |
57 |
Correct |
295 ms |
42100 KB |
Output is correct |
58 |
Correct |
318 ms |
42364 KB |
Output is correct |
59 |
Correct |
352 ms |
42136 KB |
Output is correct |
60 |
Correct |
273 ms |
40124 KB |
Output is correct |
61 |
Correct |
302 ms |
42744 KB |
Output is correct |
62 |
Correct |
306 ms |
42156 KB |
Output is correct |
63 |
Correct |
305 ms |
42720 KB |
Output is correct |
64 |
Correct |
285 ms |
41340 KB |
Output is correct |
65 |
Correct |
323 ms |
42788 KB |
Output is correct |