/**
____ ____ ____ ____ ____
||a |||t |||o |||d |||o ||
||__|||__|||__|||__|||__||
|/__\|/__\|/__\|/__\|/__\|
**/
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int N_MAX = 1000000;
const int A = 0;
const int B = 1;
int n;
int a[N_MAX + 2];
int b[N_MAX + 2];
int L[N_MAX + 2][2];
int R[N_MAX + 2][2];
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
cin >> n;
n *= 2;
for(int i = 1; i <= n; i++)
cin >> a[i];
for(int i = 1; i <= n; i++)
cin >> b[i];
for(int i = 1; i <= n; i++)
{
L[i][A] = L[i][B] = INT_MAX / 2;
R[i][A] = R[i][B] = INT_MIN / 2;
}
L[1][A] = 1;
R[1][A] = 1;
L[1][B] = 0;
R[1][B] = 0;
for(int i = 1; i < n; i++)
{
if(a[i] <= a[i + 1])
{
L[i + 1][A] = min(L[i + 1][A], L[i][A] + 1);
R[i + 1][A] = max(R[i + 1][A], R[i][A] + 1);
}
if(a[i] <= b[i + 1])
{
L[i + 1][B] = min(L[i + 1][B], L[i][A]);
R[i + 1][B] = max(R[i + 1][B], R[i][A]);
}
if(b[i] <= a[i + 1])
{
L[i + 1][A] = min(L[i + 1][A], L[i][B] + 1);
R[i + 1][A] = max(R[i + 1][A], R[i][B] + 1);
}
if(b[i] <= b[i + 1])
{
L[i + 1][B] = min(L[i + 1][B], L[i][B]);
R[i + 1][B] = max(R[i + 1][B], R[i][B]);
}
}
bool okA = (L[n][A] <= n / 2 && n / 2 <= R[n][A]);
bool okB = (L[n][B] <= n / 2 && n / 2 <= R[n][B]);
if(okA == false && okB == false)
{
cout << "-1\n";
return 0;
}
int pos = n;
int cnt = n / 2;
int last = (okA == true ? A : B);
string sol;
while(pos >= 2)
{
if(last == A)
sol += 'A';
else
sol += 'B';
if(last == A)
{
if(a[pos - 1] <= a[pos] && L[pos - 1][A] + 1 <= cnt && cnt <= R[pos - 1][A] + 1)
last = A;
else if(b[pos - 1] <= a[pos] && L[pos - 1][B] + 1 <= cnt && cnt <= R[pos - 1][B] + 1)
last = B;
cnt--;
}
else
{
if(a[pos - 1] <= b[pos] && L[pos - 1][A] <= cnt && cnt <= R[pos - 1][A])
last = A;
else if(b[pos - 1] <= b[pos] && L[pos - 1][B] <= cnt && cnt <= R[pos - 1][B])
last = B;
}
pos--;
}
if(last == A)
sol += 'A';
else
sol += 'B';
reverse(sol.begin(), sol.end());
cout << sol << "\n";
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
332 KB |
Output is correct |
2 |
Correct |
0 ms |
332 KB |
Output is correct |
3 |
Correct |
0 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
1 ms |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
11 |
Correct |
2 ms |
332 KB |
Output is correct |
12 |
Correct |
2 ms |
332 KB |
Output is correct |
13 |
Correct |
2 ms |
332 KB |
Output is correct |
14 |
Correct |
2 ms |
460 KB |
Output is correct |
15 |
Correct |
2 ms |
460 KB |
Output is correct |
16 |
Correct |
1 ms |
332 KB |
Output is correct |
17 |
Correct |
1 ms |
460 KB |
Output is correct |
18 |
Correct |
2 ms |
332 KB |
Output is correct |
19 |
Correct |
2 ms |
460 KB |
Output is correct |
20 |
Correct |
1 ms |
332 KB |
Output is correct |
21 |
Correct |
1 ms |
460 KB |
Output is correct |
22 |
Correct |
1 ms |
460 KB |
Output is correct |
23 |
Correct |
1 ms |
460 KB |
Output is correct |
24 |
Correct |
2 ms |
332 KB |
Output is correct |
25 |
Correct |
1 ms |
332 KB |
Output is correct |
26 |
Correct |
1 ms |
460 KB |
Output is correct |
27 |
Correct |
1 ms |
332 KB |
Output is correct |
28 |
Correct |
1 ms |
332 KB |
Output is correct |
29 |
Correct |
1 ms |
332 KB |
Output is correct |
30 |
Correct |
1 ms |
332 KB |
Output is correct |
31 |
Correct |
1 ms |
460 KB |
Output is correct |
32 |
Correct |
1 ms |
332 KB |
Output is correct |
33 |
Correct |
1 ms |
460 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
332 KB |
Output is correct |
2 |
Correct |
0 ms |
332 KB |
Output is correct |
3 |
Correct |
0 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
1 ms |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
11 |
Correct |
2 ms |
332 KB |
Output is correct |
12 |
Correct |
2 ms |
332 KB |
Output is correct |
13 |
Correct |
2 ms |
332 KB |
Output is correct |
14 |
Correct |
2 ms |
460 KB |
Output is correct |
15 |
Correct |
2 ms |
460 KB |
Output is correct |
16 |
Correct |
1 ms |
332 KB |
Output is correct |
17 |
Correct |
1 ms |
460 KB |
Output is correct |
18 |
Correct |
2 ms |
332 KB |
Output is correct |
19 |
Correct |
2 ms |
460 KB |
Output is correct |
20 |
Correct |
1 ms |
332 KB |
Output is correct |
21 |
Correct |
1 ms |
460 KB |
Output is correct |
22 |
Correct |
1 ms |
460 KB |
Output is correct |
23 |
Correct |
1 ms |
460 KB |
Output is correct |
24 |
Correct |
2 ms |
332 KB |
Output is correct |
25 |
Correct |
1 ms |
332 KB |
Output is correct |
26 |
Correct |
1 ms |
460 KB |
Output is correct |
27 |
Correct |
1 ms |
332 KB |
Output is correct |
28 |
Correct |
1 ms |
332 KB |
Output is correct |
29 |
Correct |
1 ms |
332 KB |
Output is correct |
30 |
Correct |
1 ms |
332 KB |
Output is correct |
31 |
Correct |
1 ms |
460 KB |
Output is correct |
32 |
Correct |
1 ms |
332 KB |
Output is correct |
33 |
Correct |
1 ms |
460 KB |
Output is correct |
34 |
Correct |
269 ms |
37464 KB |
Output is correct |
35 |
Correct |
266 ms |
42004 KB |
Output is correct |
36 |
Correct |
254 ms |
41216 KB |
Output is correct |
37 |
Correct |
262 ms |
42212 KB |
Output is correct |
38 |
Correct |
255 ms |
42240 KB |
Output is correct |
39 |
Correct |
244 ms |
41280 KB |
Output is correct |
40 |
Correct |
265 ms |
44796 KB |
Output is correct |
41 |
Correct |
254 ms |
42240 KB |
Output is correct |
42 |
Correct |
273 ms |
43676 KB |
Output is correct |
43 |
Correct |
284 ms |
45308 KB |
Output is correct |
44 |
Correct |
294 ms |
45212 KB |
Output is correct |
45 |
Correct |
282 ms |
45292 KB |
Output is correct |
46 |
Correct |
270 ms |
45244 KB |
Output is correct |
47 |
Correct |
283 ms |
44264 KB |
Output is correct |
48 |
Correct |
272 ms |
44200 KB |
Output is correct |
49 |
Correct |
276 ms |
44988 KB |
Output is correct |
50 |
Correct |
279 ms |
44404 KB |
Output is correct |
51 |
Correct |
282 ms |
44332 KB |
Output is correct |
52 |
Correct |
212 ms |
33432 KB |
Output is correct |
53 |
Correct |
208 ms |
33488 KB |
Output is correct |
54 |
Correct |
196 ms |
33596 KB |
Output is correct |
55 |
Correct |
191 ms |
33220 KB |
Output is correct |
56 |
Correct |
276 ms |
45368 KB |
Output is correct |
57 |
Correct |
238 ms |
40296 KB |
Output is correct |
58 |
Correct |
237 ms |
40376 KB |
Output is correct |
59 |
Correct |
246 ms |
40380 KB |
Output is correct |
60 |
Correct |
232 ms |
38496 KB |
Output is correct |
61 |
Correct |
242 ms |
40896 KB |
Output is correct |
62 |
Correct |
242 ms |
40284 KB |
Output is correct |
63 |
Correct |
243 ms |
40872 KB |
Output is correct |
64 |
Correct |
235 ms |
39528 KB |
Output is correct |
65 |
Correct |
242 ms |
40912 KB |
Output is correct |