#include <bits/stdc++.h>
using namespace std;
template<typename T>
void out(T x) { cout << x << endl; exit(0); }
#define watch(x) cout << (#x) << " is " << (x) << endl
using ll = long long;
const int maxn = 500001*2;
const int inf = 2e9;
int n;
int a[maxn][2];
int dpLow[maxn][2], dpHigh[maxn][2]; //range of # of B's
void setMin(int &x, int y) {
x = min(x, y);
}
void setMax(int &x, int y) {
x = max(x, y);
}
bool solve(int i, int b, int hi) {
if (i==-1) {
return true;
}
if (a[i][0]<=hi && dpLow[i][0]<=b && b<=dpHigh[i][0]) {
solve(i-1,b,a[i][0]);
cout<<"A";
return true;
}
if (a[i][1]<=hi && b>0 && dpLow[i][1]<=b && b<=dpHigh[i][1]) {
solve(i-1,b-1,a[i][1]);
cout<<"B";
return true;
}
return false;
}
int main() {
ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);
cin>>n;
n *= 2;
for (int j=0; j<2; j++) {
for (int i=0; i<n; i++) {
cin>>a[i][j];
}
}
for (int i=0; i<n; i++) {
for (int j=0; j<2; j++) {
dpLow[i][j] = inf;
dpHigh[i][j] = -inf;
}
}
dpLow[0][0] = dpHigh[0][0] = 0;
dpLow[0][1] = dpHigh[0][1] = 1;
for (int i=0; i<n-1; i++) {
for (int j=0; j<2; j++) {
if (a[i][j] <= a[i+1][0]) {
setMin(dpLow[i+1][0], dpLow[i][j]);
setMax(dpHigh[i+1][0], dpHigh[i][j]);
}
if (a[i][j] <= a[i+1][1]) {
setMin(dpLow[i+1][1], dpLow[i][j]+1);
setMax(dpHigh[i+1][1], dpHigh[i][j]+1);
}
}
}
if (!solve(n-1,n/2,inf)) {
out(-1);
}
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
0 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
492 KB |
Output is correct |
6 |
Correct |
2 ms |
492 KB |
Output is correct |
7 |
Correct |
2 ms |
492 KB |
Output is correct |
8 |
Correct |
1 ms |
492 KB |
Output is correct |
9 |
Correct |
2 ms |
492 KB |
Output is correct |
10 |
Correct |
1 ms |
492 KB |
Output is correct |
11 |
Correct |
2 ms |
492 KB |
Output is correct |
12 |
Correct |
2 ms |
492 KB |
Output is correct |
13 |
Correct |
2 ms |
492 KB |
Output is correct |
14 |
Correct |
2 ms |
492 KB |
Output is correct |
15 |
Correct |
2 ms |
492 KB |
Output is correct |
16 |
Correct |
2 ms |
512 KB |
Output is correct |
17 |
Correct |
2 ms |
492 KB |
Output is correct |
18 |
Correct |
2 ms |
492 KB |
Output is correct |
19 |
Correct |
2 ms |
492 KB |
Output is correct |
20 |
Correct |
1 ms |
492 KB |
Output is correct |
21 |
Correct |
1 ms |
492 KB |
Output is correct |
22 |
Correct |
1 ms |
492 KB |
Output is correct |
23 |
Correct |
1 ms |
492 KB |
Output is correct |
24 |
Correct |
2 ms |
492 KB |
Output is correct |
25 |
Correct |
1 ms |
492 KB |
Output is correct |
26 |
Correct |
1 ms |
492 KB |
Output is correct |
27 |
Correct |
1 ms |
492 KB |
Output is correct |
28 |
Correct |
1 ms |
492 KB |
Output is correct |
29 |
Correct |
1 ms |
492 KB |
Output is correct |
30 |
Correct |
1 ms |
512 KB |
Output is correct |
31 |
Correct |
1 ms |
492 KB |
Output is correct |
32 |
Correct |
1 ms |
492 KB |
Output is correct |
33 |
Correct |
1 ms |
492 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
0 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
492 KB |
Output is correct |
6 |
Correct |
2 ms |
492 KB |
Output is correct |
7 |
Correct |
2 ms |
492 KB |
Output is correct |
8 |
Correct |
1 ms |
492 KB |
Output is correct |
9 |
Correct |
2 ms |
492 KB |
Output is correct |
10 |
Correct |
1 ms |
492 KB |
Output is correct |
11 |
Correct |
2 ms |
492 KB |
Output is correct |
12 |
Correct |
2 ms |
492 KB |
Output is correct |
13 |
Correct |
2 ms |
492 KB |
Output is correct |
14 |
Correct |
2 ms |
492 KB |
Output is correct |
15 |
Correct |
2 ms |
492 KB |
Output is correct |
16 |
Correct |
2 ms |
512 KB |
Output is correct |
17 |
Correct |
2 ms |
492 KB |
Output is correct |
18 |
Correct |
2 ms |
492 KB |
Output is correct |
19 |
Correct |
2 ms |
492 KB |
Output is correct |
20 |
Correct |
1 ms |
492 KB |
Output is correct |
21 |
Correct |
1 ms |
492 KB |
Output is correct |
22 |
Correct |
1 ms |
492 KB |
Output is correct |
23 |
Correct |
1 ms |
492 KB |
Output is correct |
24 |
Correct |
2 ms |
492 KB |
Output is correct |
25 |
Correct |
1 ms |
492 KB |
Output is correct |
26 |
Correct |
1 ms |
492 KB |
Output is correct |
27 |
Correct |
1 ms |
492 KB |
Output is correct |
28 |
Correct |
1 ms |
492 KB |
Output is correct |
29 |
Correct |
1 ms |
492 KB |
Output is correct |
30 |
Correct |
1 ms |
512 KB |
Output is correct |
31 |
Correct |
1 ms |
492 KB |
Output is correct |
32 |
Correct |
1 ms |
492 KB |
Output is correct |
33 |
Correct |
1 ms |
492 KB |
Output is correct |
34 |
Correct |
248 ms |
37484 KB |
Output is correct |
35 |
Correct |
294 ms |
55532 KB |
Output is correct |
36 |
Correct |
285 ms |
54764 KB |
Output is correct |
37 |
Correct |
295 ms |
55788 KB |
Output is correct |
38 |
Correct |
281 ms |
55740 KB |
Output is correct |
39 |
Correct |
280 ms |
55020 KB |
Output is correct |
40 |
Correct |
312 ms |
59300 KB |
Output is correct |
41 |
Correct |
291 ms |
56428 KB |
Output is correct |
42 |
Correct |
297 ms |
57928 KB |
Output is correct |
43 |
Correct |
310 ms |
59884 KB |
Output is correct |
44 |
Correct |
312 ms |
59884 KB |
Output is correct |
45 |
Correct |
309 ms |
60012 KB |
Output is correct |
46 |
Correct |
310 ms |
59884 KB |
Output is correct |
47 |
Correct |
292 ms |
58988 KB |
Output is correct |
48 |
Correct |
292 ms |
58732 KB |
Output is correct |
49 |
Correct |
294 ms |
59628 KB |
Output is correct |
50 |
Correct |
310 ms |
59028 KB |
Output is correct |
51 |
Correct |
319 ms |
59244 KB |
Output is correct |
52 |
Correct |
229 ms |
48108 KB |
Output is correct |
53 |
Correct |
231 ms |
48108 KB |
Output is correct |
54 |
Correct |
220 ms |
48236 KB |
Output is correct |
55 |
Correct |
218 ms |
47852 KB |
Output is correct |
56 |
Correct |
295 ms |
60140 KB |
Output is correct |
57 |
Correct |
258 ms |
54764 KB |
Output is correct |
58 |
Correct |
258 ms |
55020 KB |
Output is correct |
59 |
Correct |
262 ms |
55276 KB |
Output is correct |
60 |
Correct |
247 ms |
52204 KB |
Output is correct |
61 |
Correct |
272 ms |
55532 KB |
Output is correct |
62 |
Correct |
261 ms |
54764 KB |
Output is correct |
63 |
Correct |
265 ms |
55532 KB |
Output is correct |
64 |
Correct |
258 ms |
53612 KB |
Output is correct |
65 |
Correct |
261 ms |
55788 KB |
Output is correct |