#include <bits/stdc++.h>
#pragma GCC optimize("O3,unroll-loops")
#define pb push_back
#define F first
#define S second
#define ld long double
#define all(a) a.begin(),a.end()
#define pii pair <int,int>
#define int long long
#define PII pair<pii , pii>
#define sz(v) (int)v.size()
#define rep(i , a , b) for(int i=a;i <= (b);i++)
#define per(i , a , b) for(int i=a;i >= (b);i--)
#define deb(x) cout <<#x << " : " << x << "\n" ;
using namespace std ;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
const int maxn = 1e6+10 + 10, inf = 1e9+10 , mod = 1e9 + 7 ;
pii dp[maxn][2];
int a[2][maxn];
string s ;
pii mrg(pii a, pii b){
return {min(a.F,b.F) , max(a.S,b.S)};
}
void sl(int i ,int t ,int x){
if(i==0)return ;
if(t==1)x--;
s += (t==1 ? "B" : "A") ;
rep(j , 0 ,1){
if(dp[i-1][j].F <= x && dp[i-1][j].S >= x && a[j][i-1] <= a[t][i]){
sl(i-1, j , x) ;
return ;
}
}
}
signed main(){
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
int n;
cin >> n ;
rep(i ,1 , 2*n){
cin >> a[0][i] ;
}
rep(i , 1, 2*n){
cin >> a[1][i];
}
dp[1][0] = {0 , 0};
dp[1][1] = {1, 1} ;
rep(i , 2, 2*n){
rep(j , 0 ,1){
dp[i][j] ={inf,-inf};
rep(k , 0 , 1){
if(a[j][i] >= a[k][i-1]){
dp[i][j] = mrg(dp[i][j] , dp[i-1][k]) ;
}
}
}
dp[i][1].F++;
dp[i][1].S++;
}
if(dp[2*n][0].F <=n && dp[2*n][0].S >= n){
sl(2*n , 0 , n) ;
}else if(dp[2*n][1].F <=n && dp[2*n][1].S >= n){
sl(2*n , 1 , n);
}else{
cout << "-1\n";
exit(0);
}
reverse(all(s)) ;
cout << s << "\n";
return 0 ;
}
/*
*/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
4440 KB |
Output is correct |
2 |
Correct |
1 ms |
4696 KB |
Output is correct |
3 |
Correct |
1 ms |
4444 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
2 ms |
4444 KB |
Output is correct |
6 |
Correct |
1 ms |
4444 KB |
Output is correct |
7 |
Correct |
2 ms |
4444 KB |
Output is correct |
8 |
Correct |
1 ms |
4444 KB |
Output is correct |
9 |
Correct |
2 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
11 |
Correct |
1 ms |
4444 KB |
Output is correct |
12 |
Correct |
2 ms |
4444 KB |
Output is correct |
13 |
Correct |
2 ms |
4444 KB |
Output is correct |
14 |
Correct |
1 ms |
4444 KB |
Output is correct |
15 |
Correct |
1 ms |
4696 KB |
Output is correct |
16 |
Correct |
2 ms |
4444 KB |
Output is correct |
17 |
Correct |
1 ms |
4596 KB |
Output is correct |
18 |
Correct |
1 ms |
4444 KB |
Output is correct |
19 |
Correct |
1 ms |
4444 KB |
Output is correct |
20 |
Correct |
1 ms |
4444 KB |
Output is correct |
21 |
Correct |
1 ms |
4444 KB |
Output is correct |
22 |
Correct |
2 ms |
4696 KB |
Output is correct |
23 |
Correct |
2 ms |
4444 KB |
Output is correct |
24 |
Correct |
1 ms |
4444 KB |
Output is correct |
25 |
Correct |
1 ms |
4444 KB |
Output is correct |
26 |
Correct |
1 ms |
4444 KB |
Output is correct |
27 |
Correct |
1 ms |
4444 KB |
Output is correct |
28 |
Correct |
1 ms |
4444 KB |
Output is correct |
29 |
Correct |
1 ms |
4444 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 |
1 ms |
4444 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
4440 KB |
Output is correct |
2 |
Correct |
1 ms |
4696 KB |
Output is correct |
3 |
Correct |
1 ms |
4444 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
2 ms |
4444 KB |
Output is correct |
6 |
Correct |
1 ms |
4444 KB |
Output is correct |
7 |
Correct |
2 ms |
4444 KB |
Output is correct |
8 |
Correct |
1 ms |
4444 KB |
Output is correct |
9 |
Correct |
2 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
11 |
Correct |
1 ms |
4444 KB |
Output is correct |
12 |
Correct |
2 ms |
4444 KB |
Output is correct |
13 |
Correct |
2 ms |
4444 KB |
Output is correct |
14 |
Correct |
1 ms |
4444 KB |
Output is correct |
15 |
Correct |
1 ms |
4696 KB |
Output is correct |
16 |
Correct |
2 ms |
4444 KB |
Output is correct |
17 |
Correct |
1 ms |
4596 KB |
Output is correct |
18 |
Correct |
1 ms |
4444 KB |
Output is correct |
19 |
Correct |
1 ms |
4444 KB |
Output is correct |
20 |
Correct |
1 ms |
4444 KB |
Output is correct |
21 |
Correct |
1 ms |
4444 KB |
Output is correct |
22 |
Correct |
2 ms |
4696 KB |
Output is correct |
23 |
Correct |
2 ms |
4444 KB |
Output is correct |
24 |
Correct |
1 ms |
4444 KB |
Output is correct |
25 |
Correct |
1 ms |
4444 KB |
Output is correct |
26 |
Correct |
1 ms |
4444 KB |
Output is correct |
27 |
Correct |
1 ms |
4444 KB |
Output is correct |
28 |
Correct |
1 ms |
4444 KB |
Output is correct |
29 |
Correct |
1 ms |
4444 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 |
1 ms |
4444 KB |
Output is correct |
34 |
Correct |
167 ms |
46720 KB |
Output is correct |
35 |
Correct |
161 ms |
65460 KB |
Output is correct |
36 |
Correct |
170 ms |
65216 KB |
Output is correct |
37 |
Correct |
163 ms |
65612 KB |
Output is correct |
38 |
Correct |
167 ms |
65588 KB |
Output is correct |
39 |
Correct |
151 ms |
64840 KB |
Output is correct |
40 |
Correct |
167 ms |
68204 KB |
Output is correct |
41 |
Correct |
164 ms |
65468 KB |
Output is correct |
42 |
Correct |
166 ms |
66908 KB |
Output is correct |
43 |
Correct |
178 ms |
68848 KB |
Output is correct |
44 |
Correct |
189 ms |
68892 KB |
Output is correct |
45 |
Correct |
175 ms |
68792 KB |
Output is correct |
46 |
Correct |
177 ms |
69024 KB |
Output is correct |
47 |
Correct |
183 ms |
67944 KB |
Output is correct |
48 |
Correct |
171 ms |
67580 KB |
Output is correct |
49 |
Correct |
174 ms |
68584 KB |
Output is correct |
50 |
Correct |
172 ms |
67824 KB |
Output is correct |
51 |
Correct |
177 ms |
68072 KB |
Output is correct |
52 |
Correct |
120 ms |
57164 KB |
Output is correct |
53 |
Correct |
128 ms |
57092 KB |
Output is correct |
54 |
Correct |
118 ms |
56960 KB |
Output is correct |
55 |
Correct |
114 ms |
56648 KB |
Output is correct |
56 |
Correct |
171 ms |
69008 KB |
Output is correct |
57 |
Correct |
145 ms |
63820 KB |
Output is correct |
58 |
Correct |
147 ms |
64076 KB |
Output is correct |
59 |
Correct |
150 ms |
64080 KB |
Output is correct |
60 |
Correct |
147 ms |
61716 KB |
Output is correct |
61 |
Correct |
157 ms |
64588 KB |
Output is correct |
62 |
Correct |
149 ms |
63816 KB |
Output is correct |
63 |
Correct |
153 ms |
64548 KB |
Output is correct |
64 |
Correct |
155 ms |
62928 KB |
Output is correct |
65 |
Correct |
150 ms |
64496 KB |
Output is correct |