#include<bits/stdc++.h>
#define fi first
#define se second
#define ll long long
using namespace std ;
const int N = 5e5 ;
int n, a[2 * N + 1], b[2 * N + 1], dp[4 * N + 1] ;
vector<char> ans ;
bool us[4 * N + 1] ;
vector<int> v[4 * N + 1] ;
void dfs(int city)
{
int mx = 0 ;
us[city] = 1 ;
if(city > n)
dp[city]++ ;
for(int i : v[city])
{
if(us[i])
{
mx = max(mx, dp[i]) ;
continue ;
}
dfs(i) ;
mx = max(mx, dp[i]) ;
}
dp[city] += mx ;
}
void get_ans(int city, int now)
{
if(city <= n)
ans.push_back('A') ;
else
ans.push_back('B') ;
us[city] = 1 ;
if(city % n == 0)
{
// if(now == n / 2)
// {
for(char i : ans)
cout << i ;
exit(0) ;
// }
return ;
}
for(int i : v[city])
{
if(us[i] || now + dp[i] < n / 2)
continue ;
get_ans(i, now + (i > n)) ;
}
ans.pop_back() ;
}
void ultra_clear()
{
for(int i = 1 ; i <= 4 * N ; i++)
us[i] &= 0 ;
}
signed main()
{
ios_base::sync_with_stdio( 0 ) ;
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] ;
if(n <= 4000)
{
bool gr[n + 1][n + 1][2] = {} ;
gr[1][0][0] = 1 ;
gr[1][1][1] = 1 ;
gr[0][0][0] = 1 ;
for(int i = 2 ; i <= n ; i++)
for(int j = 0 ; j <= n ; j++)
{
if(a[i] >= a[i - 1])
gr[i][j][0] |= gr[i - 1][j][0] ;
if(a[i] >= b[i - 1])
gr[i][j][0] |= gr[i - 1][j][1] ;
if(j)
{
if(b[i] >= a[i - 1])
gr[i][j][1] |= gr[i - 1][j - 1][0] ;
if(b[i] >= b[i - 1])
gr[i][j][1] |= gr[i - 1][j - 1][1] ;
}
}
if(gr[n][n / 2][0] || gr[n][n / 2][1])
{
pair<pair<int, int>, bool> last = {{n, n / 2}, 0} ;
if(gr[n][n / 2][1])last.se = 1 ;
for(int i = n - 1 ; i >= 0 ; i--)
if(!last.se)
{
ans.push_back('A') ;
if(a[i] <= a[i + 1] && gr[i][last.fi.se][0])
{
last = {{i, last.fi.se}, 0} ;
continue ;
}
if(b[i] <= a[i + 1] && gr[i][last.fi.se][1])
{
last = {{i, last.fi.se}, 1} ;
continue ;
}
}
else
{
if(!last.fi.se)
continue ;
ans.push_back('B') ;
if(a[i] <= b[i + 1] && gr[i][last.fi.se - 1][0])
{
last = {{i, last.fi.se - 1}, 0} ;
continue ;
}
if(b[i] <= b[i + 1] && gr[i][last.fi.se - 1][1])
{
last = {{i, last.fi.se - 1}, 1} ;
continue ;
}
}
reverse(ans.begin(), ans.end()) ;
for(char i : ans)
cout << i ;
}
else
cout << "-1\n" ;
return 0 ;
}
for(int i = 1 ; i < n ; i++)
{
if(a[i] <= a[i + 1])
v[i].push_back(i + 1) ;
if(a[i] <= b[i + 1])
v[i].push_back(n + i + 1) ;
if(b[i] <= a[i + 1])
v[n + i].push_back(i + 1) ;
if(b[i] <= b[i + 1])
v[n + i].push_back(n + i + 1) ;
}
dfs(1) ;
dfs(n + 1) ;
ultra_clear() ;
get_ans(1, 0) ;
ultra_clear() ;
get_ans(n + 1, 1) ;
cout << "-1\n" ;
return 0 ;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
23 ms |
47268 KB |
Output is correct |
2 |
Correct |
23 ms |
47316 KB |
Output is correct |
3 |
Correct |
22 ms |
47324 KB |
Output is correct |
4 |
Correct |
23 ms |
47316 KB |
Output is correct |
5 |
Correct |
57 ms |
74032 KB |
Output is correct |
6 |
Correct |
55 ms |
72748 KB |
Output is correct |
7 |
Correct |
48 ms |
67304 KB |
Output is correct |
8 |
Correct |
51 ms |
70512 KB |
Output is correct |
9 |
Correct |
55 ms |
71600 KB |
Output is correct |
10 |
Correct |
52 ms |
66656 KB |
Output is correct |
11 |
Correct |
61 ms |
74948 KB |
Output is correct |
12 |
Correct |
62 ms |
78748 KB |
Output is correct |
13 |
Correct |
71 ms |
78756 KB |
Output is correct |
14 |
Correct |
75 ms |
78740 KB |
Output is correct |
15 |
Correct |
62 ms |
78712 KB |
Output is correct |
16 |
Correct |
59 ms |
78744 KB |
Output is correct |
17 |
Correct |
63 ms |
78684 KB |
Output is correct |
18 |
Correct |
66 ms |
78676 KB |
Output is correct |
19 |
Correct |
62 ms |
78744 KB |
Output is correct |
20 |
Correct |
60 ms |
78648 KB |
Output is correct |
21 |
Correct |
61 ms |
78700 KB |
Output is correct |
22 |
Correct |
63 ms |
78624 KB |
Output is correct |
23 |
Correct |
68 ms |
78704 KB |
Output is correct |
24 |
Correct |
56 ms |
78664 KB |
Output is correct |
25 |
Correct |
56 ms |
78352 KB |
Output is correct |
26 |
Correct |
56 ms |
78696 KB |
Output is correct |
27 |
Correct |
64 ms |
78664 KB |
Output is correct |
28 |
Correct |
53 ms |
72424 KB |
Output is correct |
29 |
Correct |
58 ms |
78592 KB |
Output is correct |
30 |
Correct |
52 ms |
72592 KB |
Output is correct |
31 |
Correct |
61 ms |
78588 KB |
Output is correct |
32 |
Correct |
48 ms |
69324 KB |
Output is correct |
33 |
Correct |
60 ms |
78704 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
23 ms |
47268 KB |
Output is correct |
2 |
Correct |
23 ms |
47316 KB |
Output is correct |
3 |
Correct |
22 ms |
47324 KB |
Output is correct |
4 |
Correct |
23 ms |
47316 KB |
Output is correct |
5 |
Correct |
57 ms |
74032 KB |
Output is correct |
6 |
Correct |
55 ms |
72748 KB |
Output is correct |
7 |
Correct |
48 ms |
67304 KB |
Output is correct |
8 |
Correct |
51 ms |
70512 KB |
Output is correct |
9 |
Correct |
55 ms |
71600 KB |
Output is correct |
10 |
Correct |
52 ms |
66656 KB |
Output is correct |
11 |
Correct |
61 ms |
74948 KB |
Output is correct |
12 |
Correct |
62 ms |
78748 KB |
Output is correct |
13 |
Correct |
71 ms |
78756 KB |
Output is correct |
14 |
Correct |
75 ms |
78740 KB |
Output is correct |
15 |
Correct |
62 ms |
78712 KB |
Output is correct |
16 |
Correct |
59 ms |
78744 KB |
Output is correct |
17 |
Correct |
63 ms |
78684 KB |
Output is correct |
18 |
Correct |
66 ms |
78676 KB |
Output is correct |
19 |
Correct |
62 ms |
78744 KB |
Output is correct |
20 |
Correct |
60 ms |
78648 KB |
Output is correct |
21 |
Correct |
61 ms |
78700 KB |
Output is correct |
22 |
Correct |
63 ms |
78624 KB |
Output is correct |
23 |
Correct |
68 ms |
78704 KB |
Output is correct |
24 |
Correct |
56 ms |
78664 KB |
Output is correct |
25 |
Correct |
56 ms |
78352 KB |
Output is correct |
26 |
Correct |
56 ms |
78696 KB |
Output is correct |
27 |
Correct |
64 ms |
78664 KB |
Output is correct |
28 |
Correct |
53 ms |
72424 KB |
Output is correct |
29 |
Correct |
58 ms |
78592 KB |
Output is correct |
30 |
Correct |
52 ms |
72592 KB |
Output is correct |
31 |
Correct |
61 ms |
78588 KB |
Output is correct |
32 |
Correct |
48 ms |
69324 KB |
Output is correct |
33 |
Correct |
60 ms |
78704 KB |
Output is correct |
34 |
Correct |
259 ms |
98316 KB |
Output is correct |
35 |
Correct |
351 ms |
186864 KB |
Output is correct |
36 |
Correct |
328 ms |
184392 KB |
Output is correct |
37 |
Correct |
349 ms |
187184 KB |
Output is correct |
38 |
Correct |
371 ms |
196888 KB |
Output is correct |
39 |
Incorrect |
355 ms |
195296 KB |
Output isn't correct |
40 |
Halted |
0 ms |
0 KB |
- |