#include <bits/stdc++.h>
using namespace std;
using ll = long long;
const int maxn = 500005;
int n, a[2*maxn], b[2*maxn];
pair<int,int> dp[2*maxn][2];
pair<int,int> merge(pair<int,int> a, pair<int,int> b) {
if (a.first == -1) return b;
if (b.first == -1) return a;
return {min(a.first,b.first),max(a.second,b.second)};
}
string res;
void recon(int i, int j, int k) {
if (i == 0) {
reverse(res.begin(),res.end());
cout << res << '\n';
exit(0);
}
res += j ? 'B' : 'A';
if (j == 0) {
--k;
if (a[i] >= a[i-1] && dp[i-1][0].first <= k && k <= dp[i-1][0].second) {
recon(i-1,0,k);
}
else {
recon(i-1,1,k);
}
}
else {
if (b[i] >= a[i-1] && dp[i-1][0].first <= k && k <= dp[i-1][0].second) {
recon(i-1,0,k);
}
else {
recon(i-1,1,k);
}
}
}
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];
}
for (int i = 0; i < 2*maxn; i++) {
for (int j = 0; j < 2; j++) {
dp[i][j] = {-1,-1};
}
}
dp[0][0] = dp[1][0] = {0,0};
for (int i = 1; i <= 2*n; i++) {
if (a[i] >= a[i-1]) dp[i][0] = merge(dp[i][0],dp[i-1][0]);
if (a[i] >= b[i-1]) dp[i][0] = merge(dp[i][0],dp[i-1][1]);
if (dp[i][0].first != -1) {
++dp[i][0].first; ++dp[i][0].second;
}
if (b[i] >= a[i-1]) dp[i][1] = merge(dp[i][1],dp[i-1][0]);
if (b[i] >= b[i-1]) dp[i][1] = merge(dp[i][1],dp[i-1][1]);
//printf("[%d][0]: (%d, %d)\n",i,dp[i][0].first,dp[i][0].second);
//printf("[%d][1]: (%d, %d)\n",i,dp[i][1].first,dp[i][1].second);
}
if (dp[2*n][0].first <= n && n <= dp[2*n][0].second) {
recon(2*n,0,n);
}
else if (dp[2*n][1].first <= n && n <= dp[2*n][1].second) {
recon(2*n,1,n);
}
else {
cout << -1 << '\n';
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
13 ms |
16000 KB |
Output is correct |
2 |
Correct |
12 ms |
16000 KB |
Output is correct |
3 |
Correct |
12 ms |
16000 KB |
Output is correct |
4 |
Correct |
14 ms |
16000 KB |
Output is correct |
5 |
Correct |
17 ms |
16000 KB |
Output is correct |
6 |
Correct |
18 ms |
16384 KB |
Output is correct |
7 |
Correct |
17 ms |
16256 KB |
Output is correct |
8 |
Correct |
16 ms |
16256 KB |
Output is correct |
9 |
Correct |
16 ms |
16256 KB |
Output is correct |
10 |
Correct |
16 ms |
16256 KB |
Output is correct |
11 |
Correct |
16 ms |
16256 KB |
Output is correct |
12 |
Correct |
18 ms |
16384 KB |
Output is correct |
13 |
Correct |
18 ms |
16384 KB |
Output is correct |
14 |
Correct |
17 ms |
16384 KB |
Output is correct |
15 |
Correct |
17 ms |
16384 KB |
Output is correct |
16 |
Correct |
17 ms |
16000 KB |
Output is correct |
17 |
Correct |
19 ms |
16256 KB |
Output is correct |
18 |
Correct |
18 ms |
16384 KB |
Output is correct |
19 |
Correct |
17 ms |
16384 KB |
Output is correct |
20 |
Correct |
15 ms |
16384 KB |
Output is correct |
21 |
Correct |
15 ms |
16384 KB |
Output is correct |
22 |
Correct |
16 ms |
16384 KB |
Output is correct |
23 |
Correct |
15 ms |
16384 KB |
Output is correct |
24 |
Correct |
19 ms |
16384 KB |
Output is correct |
25 |
Correct |
15 ms |
16384 KB |
Output is correct |
26 |
Correct |
15 ms |
16384 KB |
Output is correct |
27 |
Correct |
15 ms |
16384 KB |
Output is correct |
28 |
Correct |
15 ms |
16256 KB |
Output is correct |
29 |
Correct |
15 ms |
16384 KB |
Output is correct |
30 |
Correct |
16 ms |
16384 KB |
Output is correct |
31 |
Correct |
16 ms |
16384 KB |
Output is correct |
32 |
Correct |
15 ms |
16256 KB |
Output is correct |
33 |
Correct |
16 ms |
16384 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
13 ms |
16000 KB |
Output is correct |
2 |
Correct |
12 ms |
16000 KB |
Output is correct |
3 |
Correct |
12 ms |
16000 KB |
Output is correct |
4 |
Correct |
14 ms |
16000 KB |
Output is correct |
5 |
Correct |
17 ms |
16000 KB |
Output is correct |
6 |
Correct |
18 ms |
16384 KB |
Output is correct |
7 |
Correct |
17 ms |
16256 KB |
Output is correct |
8 |
Correct |
16 ms |
16256 KB |
Output is correct |
9 |
Correct |
16 ms |
16256 KB |
Output is correct |
10 |
Correct |
16 ms |
16256 KB |
Output is correct |
11 |
Correct |
16 ms |
16256 KB |
Output is correct |
12 |
Correct |
18 ms |
16384 KB |
Output is correct |
13 |
Correct |
18 ms |
16384 KB |
Output is correct |
14 |
Correct |
17 ms |
16384 KB |
Output is correct |
15 |
Correct |
17 ms |
16384 KB |
Output is correct |
16 |
Correct |
17 ms |
16000 KB |
Output is correct |
17 |
Correct |
19 ms |
16256 KB |
Output is correct |
18 |
Correct |
18 ms |
16384 KB |
Output is correct |
19 |
Correct |
17 ms |
16384 KB |
Output is correct |
20 |
Correct |
15 ms |
16384 KB |
Output is correct |
21 |
Correct |
15 ms |
16384 KB |
Output is correct |
22 |
Correct |
16 ms |
16384 KB |
Output is correct |
23 |
Correct |
15 ms |
16384 KB |
Output is correct |
24 |
Correct |
19 ms |
16384 KB |
Output is correct |
25 |
Correct |
15 ms |
16384 KB |
Output is correct |
26 |
Correct |
15 ms |
16384 KB |
Output is correct |
27 |
Correct |
15 ms |
16384 KB |
Output is correct |
28 |
Correct |
15 ms |
16256 KB |
Output is correct |
29 |
Correct |
15 ms |
16384 KB |
Output is correct |
30 |
Correct |
16 ms |
16384 KB |
Output is correct |
31 |
Correct |
16 ms |
16384 KB |
Output is correct |
32 |
Correct |
15 ms |
16256 KB |
Output is correct |
33 |
Correct |
16 ms |
16384 KB |
Output is correct |
34 |
Correct |
1179 ms |
23644 KB |
Output is correct |
35 |
Correct |
1141 ms |
97976 KB |
Output is correct |
36 |
Correct |
1147 ms |
96564 KB |
Output is correct |
37 |
Correct |
1153 ms |
98096 KB |
Output is correct |
38 |
Correct |
1139 ms |
98124 KB |
Output is correct |
39 |
Correct |
1127 ms |
98548 KB |
Output is correct |
40 |
Correct |
1207 ms |
103912 KB |
Output is correct |
41 |
Correct |
1121 ms |
99756 KB |
Output is correct |
42 |
Correct |
1188 ms |
101424 KB |
Output is correct |
43 |
Correct |
1243 ms |
104380 KB |
Output is correct |
44 |
Correct |
1235 ms |
104172 KB |
Output is correct |
45 |
Correct |
1234 ms |
104336 KB |
Output is correct |
46 |
Correct |
1220 ms |
104168 KB |
Output is correct |
47 |
Correct |
1195 ms |
104172 KB |
Output is correct |
48 |
Correct |
1185 ms |
104468 KB |
Output is correct |
49 |
Correct |
1212 ms |
104156 KB |
Output is correct |
50 |
Correct |
1208 ms |
104176 KB |
Output is correct |
51 |
Correct |
1196 ms |
104172 KB |
Output is correct |
52 |
Correct |
676 ms |
104220 KB |
Output is correct |
53 |
Correct |
678 ms |
104192 KB |
Output is correct |
54 |
Correct |
666 ms |
104172 KB |
Output is correct |
55 |
Correct |
668 ms |
104172 KB |
Output is correct |
56 |
Correct |
1231 ms |
104228 KB |
Output is correct |
57 |
Correct |
996 ms |
103756 KB |
Output is correct |
58 |
Correct |
1010 ms |
104340 KB |
Output is correct |
59 |
Correct |
997 ms |
104296 KB |
Output is correct |
60 |
Correct |
963 ms |
98992 KB |
Output is correct |
61 |
Correct |
1024 ms |
104464 KB |
Output is correct |
62 |
Correct |
1022 ms |
103072 KB |
Output is correct |
63 |
Correct |
1041 ms |
104288 KB |
Output is correct |
64 |
Correct |
1004 ms |
101292 KB |
Output is correct |
65 |
Correct |
1028 ms |
104392 KB |
Output is correct |