#include <bits/stdc++.h>
#define ff first
#define ss second
#define pb push_back
#define mp make_pair
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;
typedef pair<ll, ll> pll;
typedef pair<ull, ull> pull;
typedef pair<int, int> pii;
typedef pair<ld, ld> pld;
int n, a[1000009][2];
int dp[1000009][2][2];
void calc(int i, int j){
if(a[i][j] >= a[i-1][0]){
dp[i][j][0] = min(dp[i][j][0], dp[i-1][0][0]+j);
dp[i][j][1] = max(dp[i][j][1], dp[i-1][0][1]+j);
}
if(a[i][j] >= a[i-1][1]){
dp[i][j][0] = min(dp[i][j][0], dp[i-1][1][0]+j);
dp[i][j][1] = max(dp[i][j][1], dp[i-1][1][1]+j);
}
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
//freopen("in.txt", "r", stdin);
//freopen("out.txt", "w", stdout);
cin >> n;
n *= 2;
for(int i = 0; i < n; ++i)
cin >> a[i][0];
for(int i = 0; i < n; ++i)
cin >> a[i][1];
for(int i = 0; i < n; ++i){
dp[i][0][0] = 1e9;
dp[i][0][1] = -1e9;
dp[i][1][0] = 1e9;
dp[i][1][1] = -1e9;
}
dp[0][0][0] = 0;
dp[0][0][1] = 0;
dp[0][1][0] = 1;
dp[0][1][1] = 1;
for(int i = 1; i < n; ++i){
calc(i, 0);
calc(i, 1);
}
vector<int> ans;
int pos, cur;
if(dp[n-1][0][0] <= n/2 && n/2 <= dp[n-1][0][1])
pos = cur = 0;
else if(dp[n-1][1][0] <= n/2 && n/2 <= dp[n-1][1][1])
pos = cur = 1;
else{
cout << -1;
return 0;
}
ans.pb(pos);
for(int i = n-2; i >= 0; --i){
if(a[i][0] <= a[i+1][pos] && dp[i][0][0] <= n/2-cur && n/2-cur <= dp[i][0][1])
pos = 0;
else
pos = 1;
ans.pb(pos);
cur += pos;
}
reverse(ans.begin(), ans.end());
for(auto u : ans){
if(u)
cout << 'B';
else
cout << 'A';
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 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 |
5 ms |
384 KB |
Output is correct |
6 |
Correct |
6 ms |
512 KB |
Output is correct |
7 |
Correct |
6 ms |
512 KB |
Output is correct |
8 |
Correct |
6 ms |
512 KB |
Output is correct |
9 |
Correct |
6 ms |
512 KB |
Output is correct |
10 |
Correct |
5 ms |
512 KB |
Output is correct |
11 |
Correct |
6 ms |
512 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 |
640 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 |
512 KB |
Output is correct |
18 |
Correct |
6 ms |
512 KB |
Output is correct |
19 |
Correct |
6 ms |
640 KB |
Output is correct |
20 |
Correct |
5 ms |
512 KB |
Output is correct |
21 |
Correct |
5 ms |
512 KB |
Output is correct |
22 |
Correct |
6 ms |
512 KB |
Output is correct |
23 |
Correct |
5 ms |
512 KB |
Output is correct |
24 |
Correct |
6 ms |
512 KB |
Output is correct |
25 |
Correct |
5 ms |
512 KB |
Output is correct |
26 |
Correct |
5 ms |
512 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 |
6 ms |
512 KB |
Output is correct |
31 |
Correct |
5 ms |
512 KB |
Output is correct |
32 |
Correct |
5 ms |
512 KB |
Output is correct |
33 |
Correct |
6 ms |
512 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 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 |
5 ms |
384 KB |
Output is correct |
6 |
Correct |
6 ms |
512 KB |
Output is correct |
7 |
Correct |
6 ms |
512 KB |
Output is correct |
8 |
Correct |
6 ms |
512 KB |
Output is correct |
9 |
Correct |
6 ms |
512 KB |
Output is correct |
10 |
Correct |
5 ms |
512 KB |
Output is correct |
11 |
Correct |
6 ms |
512 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 |
640 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 |
512 KB |
Output is correct |
18 |
Correct |
6 ms |
512 KB |
Output is correct |
19 |
Correct |
6 ms |
640 KB |
Output is correct |
20 |
Correct |
5 ms |
512 KB |
Output is correct |
21 |
Correct |
5 ms |
512 KB |
Output is correct |
22 |
Correct |
6 ms |
512 KB |
Output is correct |
23 |
Correct |
5 ms |
512 KB |
Output is correct |
24 |
Correct |
6 ms |
512 KB |
Output is correct |
25 |
Correct |
5 ms |
512 KB |
Output is correct |
26 |
Correct |
5 ms |
512 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 |
6 ms |
512 KB |
Output is correct |
31 |
Correct |
5 ms |
512 KB |
Output is correct |
32 |
Correct |
5 ms |
512 KB |
Output is correct |
33 |
Correct |
6 ms |
512 KB |
Output is correct |
34 |
Correct |
317 ms |
42488 KB |
Output is correct |
35 |
Correct |
328 ms |
44900 KB |
Output is correct |
36 |
Correct |
331 ms |
44128 KB |
Output is correct |
37 |
Correct |
341 ms |
45032 KB |
Output is correct |
38 |
Correct |
312 ms |
44900 KB |
Output is correct |
39 |
Correct |
304 ms |
44144 KB |
Output is correct |
40 |
Correct |
348 ms |
47972 KB |
Output is correct |
41 |
Correct |
319 ms |
45160 KB |
Output is correct |
42 |
Correct |
338 ms |
46688 KB |
Output is correct |
43 |
Correct |
359 ms |
48224 KB |
Output is correct |
44 |
Correct |
353 ms |
48224 KB |
Output is correct |
45 |
Correct |
351 ms |
48224 KB |
Output is correct |
46 |
Correct |
341 ms |
48344 KB |
Output is correct |
47 |
Correct |
332 ms |
47328 KB |
Output is correct |
48 |
Correct |
329 ms |
47184 KB |
Output is correct |
49 |
Correct |
333 ms |
47968 KB |
Output is correct |
50 |
Correct |
355 ms |
47404 KB |
Output is correct |
51 |
Correct |
342 ms |
47444 KB |
Output is correct |
52 |
Correct |
225 ms |
36576 KB |
Output is correct |
53 |
Correct |
219 ms |
36580 KB |
Output is correct |
54 |
Correct |
208 ms |
36448 KB |
Output is correct |
55 |
Correct |
218 ms |
36320 KB |
Output is correct |
56 |
Correct |
332 ms |
48480 KB |
Output is correct |
57 |
Correct |
297 ms |
43368 KB |
Output is correct |
58 |
Correct |
303 ms |
43468 KB |
Output is correct |
59 |
Correct |
297 ms |
43416 KB |
Output is correct |
60 |
Correct |
295 ms |
41312 KB |
Output is correct |
61 |
Correct |
302 ms |
43872 KB |
Output is correct |
62 |
Correct |
290 ms |
43232 KB |
Output is correct |
63 |
Correct |
299 ms |
43952 KB |
Output is correct |
64 |
Correct |
290 ms |
42432 KB |
Output is correct |
65 |
Correct |
309 ms |
44072 KB |
Output is correct |