#include <bits/stdc++.h>
using namespace std;
const int Nmax = 1e6 + 5;
int A[Nmax], B[Nmax], s[Nmax][2], f[Nmax][2];
bool ok[Nmax][2];
char ans[Nmax];
int n;
void min_to(int &x, int y)
{
if(x > y) x = y;
}
void max_to(int &x, int y)
{
if(x < y) x = y;
}
void solve(int i, int y, int z)
{
if(!z) ans[i] = 'A', y--;
else ans[i] = 'B';
if(i == 1)
{
cout << (ans+1) << '\n';
return;
}
if(!z)
{
if(A[i] >= A[i-1] && ok[i-1][0] && s[i-1][0] <= y && y <= f[i-1][0])
solve(i-1, y, 0);
else if(A[i] >= B[i-1] && ok[i-1][1] && s[i-1][1] <= y && y <= f[i-1][1])
solve(i-1, y, 1);
else assert(0);
return;
}
else
{
if(B[i] >= A[i-1] && ok[i-1][0] && s[i-1][0] <= y && y <= f[i-1][0])
solve(i-1, y, 0);
else if(B[i] >= B[i-1] && ok[i-1][1] && s[i-1][1] <= y && y <= f[i-1][1])
solve(i-1, y, 1);
else assert(0);
return;
}
}
int main()
{
// freopen("input", "r", stdin);
cin.sync_with_stdio(false); cin.tie(0);
int i;
cin >> n;
for(i=1; i<=2*n; ++i) cin >> A[i];
for(i=1; i<=2*n; ++i) cin >> B[i];
s[1][0] = f[1][0] = 1;
s[1][1] = f[1][1] = 0;
ok[1][0] = ok[1][1] = 1;
for(i=2; i<=2*n; ++i)
{
s[i][0] = s[i][1] = 2*n+1;
f[i][0] = f[i][1] = -1;
if(A[i] >= A[i-1] && ok[i-1][0])
min_to(s[i][0], s[i-1][0] + 1), max_to(f[i][0], f[i-1][0] + 1);
if(A[i] >= B[i-1] && ok[i-1][1])
min_to(s[i][0], s[i-1][1] + 1), max_to(f[i][0], f[i-1][1] + 1);
if(B[i] >= A[i-1] && ok[i-1][0])
min_to(s[i][1], s[i-1][0]), max_to(f[i][1], f[i-1][0]);
if(B[i] >= B[i-1] && ok[i-1][1])
min_to(s[i][1], s[i-1][1]), max_to(f[i][1], f[i-1][1]);
ok[i][0] = (s[i][0] <= f[i][0]);
ok[i][1] = (s[i][1] <= f[i][1]);
}
if(s[2*n][0] <= n && n <= f[2*n][0])
solve(2*n, n, 0);
else if(s[2*n][1] <= n && n <= f[2*n][1])
solve(2*n, n, 1);
else cout << "-1\n";
return 0;
}
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
5 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 |
4 ms |
384 KB |
Output is correct |
| 5 |
Correct |
6 ms |
512 KB |
Output is correct |
| 6 |
Correct |
6 ms |
640 KB |
Output is correct |
| 7 |
Correct |
6 ms |
640 KB |
Output is correct |
| 8 |
Correct |
8 ms |
640 KB |
Output is correct |
| 9 |
Correct |
6 ms |
640 KB |
Output is correct |
| 10 |
Correct |
6 ms |
640 KB |
Output is correct |
| 11 |
Correct |
7 ms |
640 KB |
Output is correct |
| 12 |
Correct |
6 ms |
640 KB |
Output is correct |
| 13 |
Correct |
6 ms |
640 KB |
Output is correct |
| 14 |
Correct |
6 ms |
768 KB |
Output is correct |
| 15 |
Correct |
6 ms |
640 KB |
Output is correct |
| 16 |
Correct |
6 ms |
512 KB |
Output is correct |
| 17 |
Correct |
6 ms |
768 KB |
Output is correct |
| 18 |
Correct |
6 ms |
640 KB |
Output is correct |
| 19 |
Correct |
6 ms |
768 KB |
Output is correct |
| 20 |
Correct |
6 ms |
640 KB |
Output is correct |
| 21 |
Correct |
5 ms |
640 KB |
Output is correct |
| 22 |
Correct |
5 ms |
640 KB |
Output is correct |
| 23 |
Correct |
5 ms |
640 KB |
Output is correct |
| 24 |
Correct |
6 ms |
640 KB |
Output is correct |
| 25 |
Correct |
6 ms |
640 KB |
Output is correct |
| 26 |
Correct |
5 ms |
640 KB |
Output is correct |
| 27 |
Correct |
6 ms |
640 KB |
Output is correct |
| 28 |
Correct |
5 ms |
640 KB |
Output is correct |
| 29 |
Correct |
6 ms |
640 KB |
Output is correct |
| 30 |
Correct |
5 ms |
640 KB |
Output is correct |
| 31 |
Correct |
6 ms |
640 KB |
Output is correct |
| 32 |
Correct |
6 ms |
640 KB |
Output is correct |
| 33 |
Correct |
6 ms |
640 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
5 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 |
4 ms |
384 KB |
Output is correct |
| 5 |
Correct |
6 ms |
512 KB |
Output is correct |
| 6 |
Correct |
6 ms |
640 KB |
Output is correct |
| 7 |
Correct |
6 ms |
640 KB |
Output is correct |
| 8 |
Correct |
8 ms |
640 KB |
Output is correct |
| 9 |
Correct |
6 ms |
640 KB |
Output is correct |
| 10 |
Correct |
6 ms |
640 KB |
Output is correct |
| 11 |
Correct |
7 ms |
640 KB |
Output is correct |
| 12 |
Correct |
6 ms |
640 KB |
Output is correct |
| 13 |
Correct |
6 ms |
640 KB |
Output is correct |
| 14 |
Correct |
6 ms |
768 KB |
Output is correct |
| 15 |
Correct |
6 ms |
640 KB |
Output is correct |
| 16 |
Correct |
6 ms |
512 KB |
Output is correct |
| 17 |
Correct |
6 ms |
768 KB |
Output is correct |
| 18 |
Correct |
6 ms |
640 KB |
Output is correct |
| 19 |
Correct |
6 ms |
768 KB |
Output is correct |
| 20 |
Correct |
6 ms |
640 KB |
Output is correct |
| 21 |
Correct |
5 ms |
640 KB |
Output is correct |
| 22 |
Correct |
5 ms |
640 KB |
Output is correct |
| 23 |
Correct |
5 ms |
640 KB |
Output is correct |
| 24 |
Correct |
6 ms |
640 KB |
Output is correct |
| 25 |
Correct |
6 ms |
640 KB |
Output is correct |
| 26 |
Correct |
5 ms |
640 KB |
Output is correct |
| 27 |
Correct |
6 ms |
640 KB |
Output is correct |
| 28 |
Correct |
5 ms |
640 KB |
Output is correct |
| 29 |
Correct |
6 ms |
640 KB |
Output is correct |
| 30 |
Correct |
5 ms |
640 KB |
Output is correct |
| 31 |
Correct |
6 ms |
640 KB |
Output is correct |
| 32 |
Correct |
6 ms |
640 KB |
Output is correct |
| 33 |
Correct |
6 ms |
640 KB |
Output is correct |
| 34 |
Correct |
314 ms |
25652 KB |
Output is correct |
| 35 |
Correct |
329 ms |
55128 KB |
Output is correct |
| 36 |
Correct |
330 ms |
54264 KB |
Output is correct |
| 37 |
Correct |
320 ms |
55288 KB |
Output is correct |
| 38 |
Correct |
306 ms |
55288 KB |
Output is correct |
| 39 |
Correct |
309 ms |
55544 KB |
Output is correct |
| 40 |
Correct |
340 ms |
59132 KB |
Output is correct |
| 41 |
Correct |
311 ms |
56440 KB |
Output is correct |
| 42 |
Correct |
346 ms |
57720 KB |
Output is correct |
| 43 |
Correct |
351 ms |
59424 KB |
Output is correct |
| 44 |
Correct |
351 ms |
59384 KB |
Output is correct |
| 45 |
Correct |
362 ms |
59640 KB |
Output is correct |
| 46 |
Correct |
342 ms |
59384 KB |
Output is correct |
| 47 |
Correct |
334 ms |
59384 KB |
Output is correct |
| 48 |
Correct |
321 ms |
59384 KB |
Output is correct |
| 49 |
Correct |
342 ms |
59384 KB |
Output is correct |
| 50 |
Correct |
345 ms |
59384 KB |
Output is correct |
| 51 |
Correct |
341 ms |
59256 KB |
Output is correct |
| 52 |
Correct |
223 ms |
64376 KB |
Output is correct |
| 53 |
Correct |
230 ms |
64376 KB |
Output is correct |
| 54 |
Correct |
213 ms |
64376 KB |
Output is correct |
| 55 |
Correct |
215 ms |
64120 KB |
Output is correct |
| 56 |
Correct |
344 ms |
59384 KB |
Output is correct |
| 57 |
Correct |
287 ms |
62120 KB |
Output is correct |
| 58 |
Correct |
302 ms |
62584 KB |
Output is correct |
| 59 |
Correct |
294 ms |
62328 KB |
Output is correct |
| 60 |
Correct |
284 ms |
58616 KB |
Output is correct |
| 61 |
Correct |
301 ms |
62200 KB |
Output is correct |
| 62 |
Correct |
299 ms |
61176 KB |
Output is correct |
| 63 |
Correct |
299 ms |
62200 KB |
Output is correct |
| 64 |
Correct |
313 ms |
60028 KB |
Output is correct |
| 65 |
Correct |
293 ms |
61688 KB |
Output is correct |
