#include <bits/stdc++.h>
#define F first
#define S second
using namespace std;
const int N = 1e6 + 10;
int n , A[2][N];
pair <int , int> dp[N][2];
pair <int , int> ejtema(pair<int , int> a , pair <int , int> b , int v)
{
b.F += v; b.S += v;
pair <int , int> res;
res.F = min(a.F , b.F);
res.S = max(a.S , b.S);
return res;
}
string Solve(int id , int val , int ty)
{
string res = "";
while(true)
{
if(ty == 1)
res.push_back('B');
else
res.push_back('A');
val -= ty;
if(id == 1)
break;
if(A[ty][id] >= A[0][id - 1] && val >= dp[id - 1][0].F && val <= dp[id - 1][0].S)
ty = 0;
else
ty = 1;
id--;
}
reverse(res.begin() , res.end());
return res;
}
signed main()
{
ios::sync_with_stdio(false);
cin.tie(0); cout.tie(0);
cin >> n;
n *= 2;
for(int i = 1 ; i <= n ; i++)
cin >> A[0][i];
for(int i = 1 ; i <= n ; i++)
cin >> A[1][i];
dp[1][0] = make_pair(0 , 0);
dp[1][1] = make_pair(1 , 1);
for(int i = 2 ; i <= n ; i++) for(int ty = 0 ; ty < 2 ; ty++)
{
dp[i][ty] = make_pair(N , -1);
if(A[ty][i] >= A[0][i - 1])
dp[i][ty] = ejtema(dp[i][ty] , dp[i - 1][0] , ty);
if(A[ty][i] >= A[1][i - 1])
dp[i][ty] = ejtema(dp[i][ty] , dp[i - 1][1] , ty);
}
int m = n / 2;
if(m >= dp[n][0].F && m <= dp[n][0].S)
{
cout << Solve(n , m , 0) << '\n';
}
else if(m >= dp[n][1].F && m <= dp[n][1].S)
{
cout << Solve(n , m , 1) << '\n';
}
else
{
cout << -1 << '\n';
}
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
4444 KB |
Output is correct |
2 |
Correct |
1 ms |
4444 KB |
Output is correct |
3 |
Correct |
1 ms |
4444 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
1 ms |
4444 KB |
Output is correct |
6 |
Correct |
1 ms |
4696 KB |
Output is correct |
7 |
Correct |
1 ms |
4628 KB |
Output is correct |
8 |
Correct |
2 ms |
4700 KB |
Output is correct |
9 |
Correct |
1 ms |
4700 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
11 |
Correct |
1 ms |
4700 KB |
Output is correct |
12 |
Correct |
2 ms |
4700 KB |
Output is correct |
13 |
Correct |
2 ms |
4700 KB |
Output is correct |
14 |
Correct |
2 ms |
4572 KB |
Output is correct |
15 |
Correct |
1 ms |
4700 KB |
Output is correct |
16 |
Correct |
1 ms |
4700 KB |
Output is correct |
17 |
Correct |
2 ms |
4696 KB |
Output is correct |
18 |
Correct |
2 ms |
4700 KB |
Output is correct |
19 |
Correct |
1 ms |
4700 KB |
Output is correct |
20 |
Correct |
1 ms |
4440 KB |
Output is correct |
21 |
Correct |
1 ms |
4440 KB |
Output is correct |
22 |
Correct |
2 ms |
4572 KB |
Output is correct |
23 |
Correct |
1 ms |
4440 KB |
Output is correct |
24 |
Correct |
1 ms |
4700 KB |
Output is correct |
25 |
Correct |
1 ms |
4612 KB |
Output is correct |
26 |
Correct |
2 ms |
4444 KB |
Output is correct |
27 |
Correct |
1 ms |
4444 KB |
Output is correct |
28 |
Correct |
1 ms |
4604 KB |
Output is correct |
29 |
Correct |
2 ms |
4616 KB |
Output is correct |
30 |
Correct |
1 ms |
4444 KB |
Output is correct |
31 |
Correct |
1 ms |
4444 KB |
Output is correct |
32 |
Correct |
1 ms |
4444 KB |
Output is correct |
33 |
Correct |
2 ms |
4440 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
4444 KB |
Output is correct |
2 |
Correct |
1 ms |
4444 KB |
Output is correct |
3 |
Correct |
1 ms |
4444 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
1 ms |
4444 KB |
Output is correct |
6 |
Correct |
1 ms |
4696 KB |
Output is correct |
7 |
Correct |
1 ms |
4628 KB |
Output is correct |
8 |
Correct |
2 ms |
4700 KB |
Output is correct |
9 |
Correct |
1 ms |
4700 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
11 |
Correct |
1 ms |
4700 KB |
Output is correct |
12 |
Correct |
2 ms |
4700 KB |
Output is correct |
13 |
Correct |
2 ms |
4700 KB |
Output is correct |
14 |
Correct |
2 ms |
4572 KB |
Output is correct |
15 |
Correct |
1 ms |
4700 KB |
Output is correct |
16 |
Correct |
1 ms |
4700 KB |
Output is correct |
17 |
Correct |
2 ms |
4696 KB |
Output is correct |
18 |
Correct |
2 ms |
4700 KB |
Output is correct |
19 |
Correct |
1 ms |
4700 KB |
Output is correct |
20 |
Correct |
1 ms |
4440 KB |
Output is correct |
21 |
Correct |
1 ms |
4440 KB |
Output is correct |
22 |
Correct |
2 ms |
4572 KB |
Output is correct |
23 |
Correct |
1 ms |
4440 KB |
Output is correct |
24 |
Correct |
1 ms |
4700 KB |
Output is correct |
25 |
Correct |
1 ms |
4612 KB |
Output is correct |
26 |
Correct |
2 ms |
4444 KB |
Output is correct |
27 |
Correct |
1 ms |
4444 KB |
Output is correct |
28 |
Correct |
1 ms |
4604 KB |
Output is correct |
29 |
Correct |
2 ms |
4616 KB |
Output is correct |
30 |
Correct |
1 ms |
4444 KB |
Output is correct |
31 |
Correct |
1 ms |
4444 KB |
Output is correct |
32 |
Correct |
1 ms |
4444 KB |
Output is correct |
33 |
Correct |
2 ms |
4440 KB |
Output is correct |
34 |
Correct |
165 ms |
42776 KB |
Output is correct |
35 |
Correct |
165 ms |
43276 KB |
Output is correct |
36 |
Correct |
157 ms |
42896 KB |
Output is correct |
37 |
Correct |
202 ms |
43536 KB |
Output is correct |
38 |
Correct |
147 ms |
43504 KB |
Output is correct |
39 |
Correct |
151 ms |
42476 KB |
Output is correct |
40 |
Correct |
155 ms |
44888 KB |
Output is correct |
41 |
Correct |
154 ms |
43332 KB |
Output is correct |
42 |
Correct |
160 ms |
44304 KB |
Output is correct |
43 |
Correct |
173 ms |
45132 KB |
Output is correct |
44 |
Correct |
187 ms |
45360 KB |
Output is correct |
45 |
Correct |
168 ms |
45228 KB |
Output is correct |
46 |
Correct |
157 ms |
45232 KB |
Output is correct |
47 |
Correct |
158 ms |
44464 KB |
Output is correct |
48 |
Correct |
155 ms |
44204 KB |
Output is correct |
49 |
Correct |
157 ms |
44876 KB |
Output is correct |
50 |
Correct |
165 ms |
44328 KB |
Output is correct |
51 |
Correct |
171 ms |
44364 KB |
Output is correct |
52 |
Correct |
117 ms |
33608 KB |
Output is correct |
53 |
Correct |
120 ms |
33712 KB |
Output is correct |
54 |
Correct |
107 ms |
33612 KB |
Output is correct |
55 |
Correct |
108 ms |
33500 KB |
Output is correct |
56 |
Correct |
157 ms |
45388 KB |
Output is correct |
57 |
Correct |
134 ms |
40372 KB |
Output is correct |
58 |
Correct |
138 ms |
40356 KB |
Output is correct |
59 |
Correct |
135 ms |
40568 KB |
Output is correct |
60 |
Correct |
146 ms |
39680 KB |
Output is correct |
61 |
Correct |
153 ms |
41260 KB |
Output is correct |
62 |
Correct |
137 ms |
40696 KB |
Output is correct |
63 |
Correct |
140 ms |
41008 KB |
Output is correct |
64 |
Correct |
133 ms |
40184 KB |
Output is correct |
65 |
Correct |
155 ms |
40972 KB |
Output is correct |