// Copyright © 2020 Diego Garcia Rodriguez del Campo. All rights reserved.
#include<bits/stdc++.h>
#define INF 1e9
#define MAX 1000005
#define optimiza_io cin.tie(0); ios_base::sync_with_stdio(0);
using namespace std;
typedef long long i64;
int N;
int a[MAX][2];
int dpmn[MAX][2];
int dpmx[MAX][2];
struct node {
int vl, i, j;
bool operator < ( const node & a ) const {
if( vl == a.vl )
return i > a.i;
return vl > a.vl;
}
};
vector < node > q;
void solve( int i , int j , int r ) {
cout << ( j ? 'B' : 'A' );
if( i == N )
return;
// Ir a la A
if( a[i][j] <= a[i + 1][0] &&
dpmn[i + 1][0] <= r &&
dpmx[i + 1][0] >= r )
solve( i + 1 , 0 , r - 1 );
else
solve( i + 1 , 1 , r );
}
int main()
{
optimiza_io
cin >> N;
N *= 2;
for( int j = 0; j < 2; j ++ )
for( int i = 1; i <= N; i ++ ) {
cin >> a[i][j];
dpmx[i][j] = -INF;
dpmn[i][j] = INF;
q.push_back( { a[i][j] , i , j } );
}
sort( q.begin() , q.end() );
for( auto x : q ) {
if( x.i == N ) {
dpmn[x.i][x.j] = dpmx[x.i][x.j] = ! x.j;
continue;
}
dpmn[x.i][x.j] = min( dpmn[x.i + 1][0] , dpmn[x.i + 1][1] ) + ( ! x.j );
dpmx[x.i][x.j] = max( dpmx[x.i + 1][0] , dpmx[x.i + 1][1] ) + ( ! x.j );
}
if( dpmn[1][0] <= N/2 && dpmx[1][0] >= N/2 )
solve( 1 , 0 , N/2 - 1 );
else if( dpmn[1][1] <= N/2 && dpmx[1][1] >= N/2 )
solve( 1 , 1 , N/2 );
else
cout << "-1\n";
return 0;
}
// CHECAR LIMITES
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
384 KB |
Output is correct |
2 |
Correct |
4 ms |
384 KB |
Output is correct |
3 |
Correct |
4 ms |
384 KB |
Output is correct |
4 |
Correct |
5 ms |
384 KB |
Output is correct |
5 |
Correct |
6 ms |
640 KB |
Output is correct |
6 |
Correct |
6 ms |
768 KB |
Output is correct |
7 |
Correct |
6 ms |
768 KB |
Output is correct |
8 |
Correct |
6 ms |
768 KB |
Output is correct |
9 |
Correct |
6 ms |
768 KB |
Output is correct |
10 |
Correct |
6 ms |
768 KB |
Output is correct |
11 |
Correct |
7 ms |
768 KB |
Output is correct |
12 |
Correct |
7 ms |
768 KB |
Output is correct |
13 |
Correct |
6 ms |
768 KB |
Output is correct |
14 |
Correct |
7 ms |
768 KB |
Output is correct |
15 |
Correct |
6 ms |
768 KB |
Output is correct |
16 |
Correct |
6 ms |
640 KB |
Output is correct |
17 |
Correct |
6 ms |
768 KB |
Output is correct |
18 |
Correct |
6 ms |
768 KB |
Output is correct |
19 |
Correct |
7 ms |
768 KB |
Output is correct |
20 |
Correct |
6 ms |
768 KB |
Output is correct |
21 |
Correct |
6 ms |
768 KB |
Output is correct |
22 |
Correct |
6 ms |
896 KB |
Output is correct |
23 |
Correct |
6 ms |
896 KB |
Output is correct |
24 |
Correct |
7 ms |
896 KB |
Output is correct |
25 |
Correct |
6 ms |
768 KB |
Output is correct |
26 |
Correct |
6 ms |
768 KB |
Output is correct |
27 |
Correct |
6 ms |
768 KB |
Output is correct |
28 |
Correct |
6 ms |
768 KB |
Output is correct |
29 |
Correct |
6 ms |
768 KB |
Output is correct |
30 |
Correct |
6 ms |
768 KB |
Output is correct |
31 |
Correct |
6 ms |
768 KB |
Output is correct |
32 |
Correct |
6 ms |
768 KB |
Output is correct |
33 |
Correct |
6 ms |
768 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
384 KB |
Output is correct |
2 |
Correct |
4 ms |
384 KB |
Output is correct |
3 |
Correct |
4 ms |
384 KB |
Output is correct |
4 |
Correct |
5 ms |
384 KB |
Output is correct |
5 |
Correct |
6 ms |
640 KB |
Output is correct |
6 |
Correct |
6 ms |
768 KB |
Output is correct |
7 |
Correct |
6 ms |
768 KB |
Output is correct |
8 |
Correct |
6 ms |
768 KB |
Output is correct |
9 |
Correct |
6 ms |
768 KB |
Output is correct |
10 |
Correct |
6 ms |
768 KB |
Output is correct |
11 |
Correct |
7 ms |
768 KB |
Output is correct |
12 |
Correct |
7 ms |
768 KB |
Output is correct |
13 |
Correct |
6 ms |
768 KB |
Output is correct |
14 |
Correct |
7 ms |
768 KB |
Output is correct |
15 |
Correct |
6 ms |
768 KB |
Output is correct |
16 |
Correct |
6 ms |
640 KB |
Output is correct |
17 |
Correct |
6 ms |
768 KB |
Output is correct |
18 |
Correct |
6 ms |
768 KB |
Output is correct |
19 |
Correct |
7 ms |
768 KB |
Output is correct |
20 |
Correct |
6 ms |
768 KB |
Output is correct |
21 |
Correct |
6 ms |
768 KB |
Output is correct |
22 |
Correct |
6 ms |
896 KB |
Output is correct |
23 |
Correct |
6 ms |
896 KB |
Output is correct |
24 |
Correct |
7 ms |
896 KB |
Output is correct |
25 |
Correct |
6 ms |
768 KB |
Output is correct |
26 |
Correct |
6 ms |
768 KB |
Output is correct |
27 |
Correct |
6 ms |
768 KB |
Output is correct |
28 |
Correct |
6 ms |
768 KB |
Output is correct |
29 |
Correct |
6 ms |
768 KB |
Output is correct |
30 |
Correct |
6 ms |
768 KB |
Output is correct |
31 |
Correct |
6 ms |
768 KB |
Output is correct |
32 |
Correct |
6 ms |
768 KB |
Output is correct |
33 |
Correct |
6 ms |
768 KB |
Output is correct |
34 |
Correct |
587 ms |
48204 KB |
Output is correct |
35 |
Correct |
594 ms |
88492 KB |
Output is correct |
36 |
Correct |
577 ms |
87088 KB |
Output is correct |
37 |
Correct |
596 ms |
88884 KB |
Output is correct |
38 |
Correct |
650 ms |
88840 KB |
Output is correct |
39 |
Correct |
633 ms |
89404 KB |
Output is correct |
40 |
Correct |
559 ms |
94892 KB |
Output is correct |
41 |
Correct |
757 ms |
90772 KB |
Output is correct |
42 |
Correct |
515 ms |
92460 KB |
Output is correct |
43 |
Correct |
638 ms |
95416 KB |
Output is correct |
44 |
Correct |
645 ms |
95576 KB |
Output is correct |
45 |
Correct |
638 ms |
95364 KB |
Output is correct |
46 |
Correct |
735 ms |
95532 KB |
Output is correct |
47 |
Correct |
564 ms |
95404 KB |
Output is correct |
48 |
Correct |
683 ms |
95392 KB |
Output is correct |
49 |
Correct |
556 ms |
95428 KB |
Output is correct |
50 |
Correct |
628 ms |
95404 KB |
Output is correct |
51 |
Correct |
631 ms |
95404 KB |
Output is correct |
52 |
Correct |
541 ms |
95404 KB |
Output is correct |
53 |
Correct |
530 ms |
95532 KB |
Output is correct |
54 |
Correct |
654 ms |
95536 KB |
Output is correct |
55 |
Correct |
447 ms |
95404 KB |
Output is correct |
56 |
Correct |
799 ms |
95404 KB |
Output is correct |
57 |
Correct |
511 ms |
95020 KB |
Output is correct |
58 |
Correct |
497 ms |
95528 KB |
Output is correct |
59 |
Correct |
419 ms |
95532 KB |
Output is correct |
60 |
Correct |
493 ms |
89760 KB |
Output is correct |
61 |
Correct |
540 ms |
95380 KB |
Output is correct |
62 |
Correct |
550 ms |
94124 KB |
Output is correct |
63 |
Correct |
535 ms |
95532 KB |
Output is correct |
64 |
Correct |
512 ms |
92204 KB |
Output is correct |
65 |
Correct |
546 ms |
95404 KB |
Output is correct |