#include <bits/stdc++.h>
#define ST first
#define ND second
#define PB push_back
#define _ ios_base::sync_with_stdio(0); cin.tie(0);
using namespace std;
using ll = long long;
using vi = vector<int>;
using pi = pair<int,int>;
const int nax = 1000*1000+10,INF=1e9+10;
int n;
int a[nax], b[nax];
pi dp[nax][2];
int main() {_
cin >> n;
for(int i=1; i<=2*n; i++) cin >> a[i];
for(int i=1; i<=2*n; i++) cin >> b[i];
dp[0][1] = dp[0][0] = {0,0};
for(int i=1; i<=2*n; i++) {
dp[i][0] = dp[i][1] = {INF,-INF};
if(a[i]>=a[i-1]) {
dp[i][0] = {min(dp[i][0].ST,dp[i-1][0].ST+1),max(dp[i][0].ND,dp[i-1][0].ND+1)};
}
if(a[i]>=b[i-1]) {
dp[i][0] = {min(dp[i][0].ST,dp[i-1][1].ST+1),max(dp[i][0].ND,dp[i-1][1].ND+1)};
}
if(b[i]>=b[i-1]) {
dp[i][1] = {min(dp[i][1].ST,dp[i-1][1].ST),max(dp[i][1].ND,dp[i-1][1].ND)};
}
if(b[i]>=a[i-1]) {
dp[i][1] = {min(dp[i][1].ST,dp[i-1][0].ST),max(dp[i][1].ND,dp[i-1][0].ND)};
}
}
int x = 2*n, y = n, last = INF;
bool ok = 1;
string ans = "";
while(x>0) {
if(dp[x][0].ST<=y&&y<=dp[x][0].ND&&a[x]<=last) {
last = a[x];
x--;
y--;
ans+="A";
} else if(dp[x][1].ST<=y&&y<=dp[x][1].ND&&b[x]<=last) {
last = b[x];
x--;
ans+="B";
} else {
ok = 0;
break;
}
}
if(!ok) {
cout<<"-1";
return 0;
}
reverse(ans.begin(),ans.end());
cout<<ans;
}
# |
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 |
5 ms |
384 KB |
Output is correct |
4 |
Correct |
4 ms |
384 KB |
Output is correct |
5 |
Correct |
6 ms |
512 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 |
6 ms |
512 KB |
Output is correct |
11 |
Correct |
6 ms |
512 KB |
Output is correct |
12 |
Correct |
6 ms |
512 KB |
Output is correct |
13 |
Correct |
7 ms |
512 KB |
Output is correct |
14 |
Correct |
6 ms |
512 KB |
Output is correct |
15 |
Correct |
6 ms |
512 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 |
512 KB |
Output is correct |
20 |
Correct |
5 ms |
512 KB |
Output is correct |
21 |
Correct |
6 ms |
512 KB |
Output is correct |
22 |
Correct |
5 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 |
6 ms |
512 KB |
Output is correct |
26 |
Correct |
6 ms |
512 KB |
Output is correct |
27 |
Correct |
5 ms |
512 KB |
Output is correct |
28 |
Correct |
5 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 |
1 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 |
5 ms |
384 KB |
Output is correct |
4 |
Correct |
4 ms |
384 KB |
Output is correct |
5 |
Correct |
6 ms |
512 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 |
6 ms |
512 KB |
Output is correct |
11 |
Correct |
6 ms |
512 KB |
Output is correct |
12 |
Correct |
6 ms |
512 KB |
Output is correct |
13 |
Correct |
7 ms |
512 KB |
Output is correct |
14 |
Correct |
6 ms |
512 KB |
Output is correct |
15 |
Correct |
6 ms |
512 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 |
512 KB |
Output is correct |
20 |
Correct |
5 ms |
512 KB |
Output is correct |
21 |
Correct |
6 ms |
512 KB |
Output is correct |
22 |
Correct |
5 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 |
6 ms |
512 KB |
Output is correct |
26 |
Correct |
6 ms |
512 KB |
Output is correct |
27 |
Correct |
5 ms |
512 KB |
Output is correct |
28 |
Correct |
5 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 |
1 ms |
512 KB |
Output is correct |
34 |
Correct |
303 ms |
23688 KB |
Output is correct |
35 |
Correct |
312 ms |
26032 KB |
Output is correct |
36 |
Correct |
280 ms |
24624 KB |
Output is correct |
37 |
Correct |
292 ms |
29616 KB |
Output is correct |
38 |
Correct |
292 ms |
29592 KB |
Output is correct |
39 |
Correct |
273 ms |
28080 KB |
Output is correct |
40 |
Correct |
315 ms |
25940 KB |
Output is correct |
41 |
Correct |
304 ms |
25904 KB |
Output is correct |
42 |
Correct |
311 ms |
25264 KB |
Output is correct |
43 |
Correct |
336 ms |
31340 KB |
Output is correct |
44 |
Correct |
335 ms |
31596 KB |
Output is correct |
45 |
Correct |
326 ms |
31232 KB |
Output is correct |
46 |
Correct |
303 ms |
31340 KB |
Output is correct |
47 |
Correct |
294 ms |
26988 KB |
Output is correct |
48 |
Correct |
311 ms |
26368 KB |
Output is correct |
49 |
Correct |
318 ms |
31340 KB |
Output is correct |
50 |
Correct |
303 ms |
26216 KB |
Output is correct |
51 |
Correct |
317 ms |
26088 KB |
Output is correct |
52 |
Correct |
200 ms |
29036 KB |
Output is correct |
53 |
Correct |
198 ms |
29036 KB |
Output is correct |
54 |
Correct |
182 ms |
28780 KB |
Output is correct |
55 |
Correct |
192 ms |
29036 KB |
Output is correct |
56 |
Correct |
319 ms |
30700 KB |
Output is correct |
57 |
Correct |
267 ms |
27116 KB |
Output is correct |
58 |
Correct |
265 ms |
27372 KB |
Output is correct |
59 |
Correct |
283 ms |
27244 KB |
Output is correct |
60 |
Correct |
269 ms |
25652 KB |
Output is correct |
61 |
Correct |
269 ms |
27244 KB |
Output is correct |
62 |
Correct |
272 ms |
26736 KB |
Output is correct |
63 |
Correct |
281 ms |
27116 KB |
Output is correct |
64 |
Correct |
267 ms |
26032 KB |
Output is correct |
65 |
Correct |
288 ms |
27116 KB |
Output is correct |