#include <bits/stdc++.h>
using namespace std;
int main()
{
cin.tie(nullptr)->sync_with_stdio(0);
int n;
cin >> n;
vector<int> a(2 * n), b(2 * n);
for(int &i : a) {
cin >> i;
}
for(int &i : b) {
cin >> i;
}
const int oo = 1e9;
vector<vector<pair<int, int>>> dp(2 * n, vector<pair<int, int>>(2, {oo, -oo}));
dp[0][0] = {1, 1};
dp[0][1] = {0, 0};
auto merge = [&](pair<int, int> &one, pair<int, int> &two, int offset) {
one = {min(one.first, two.first + offset), max(one.second, two.second + offset)};
};
for(int i = 0; i < 2 * n - 1; i++) {
if(a[i] <= a[i + 1]) merge(dp[i + 1][0], dp[i][0], 1);
if(a[i] <= b[i + 1]) merge(dp[i + 1][1], dp[i][0], 0);
if(b[i] <= a[i + 1]) merge(dp[i + 1][0], dp[i][1], 1);
if(b[i] <= b[i + 1]) merge(dp[i + 1][1], dp[i][1], 0);
}
int used = n, nxt = oo;
string ans(2 * n, '?');
for(int i = 2 * n - 1; i >= 0; i--) {
if(dp[i][0].first <= used && used <= dp[i][0].second && a[i] <= nxt) {
ans[i] = 'A';
used--;
nxt = a[i];
}
else if(dp[i][1].first <= used && used <= dp[i][1].second && b[i] <= nxt) {
ans[i] = 'B';
nxt = b[i];
}
else {
cout << "-1" << '\n';
exit(0);
}
}
cout << ans << '\n';
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
596 KB |
Output is correct |
6 |
Correct |
2 ms |
596 KB |
Output is correct |
7 |
Correct |
2 ms |
584 KB |
Output is correct |
8 |
Correct |
2 ms |
596 KB |
Output is correct |
9 |
Correct |
2 ms |
596 KB |
Output is correct |
10 |
Correct |
1 ms |
468 KB |
Output is correct |
11 |
Correct |
2 ms |
596 KB |
Output is correct |
12 |
Correct |
2 ms |
596 KB |
Output is correct |
13 |
Correct |
2 ms |
596 KB |
Output is correct |
14 |
Correct |
2 ms |
560 KB |
Output is correct |
15 |
Correct |
2 ms |
596 KB |
Output is correct |
16 |
Correct |
2 ms |
596 KB |
Output is correct |
17 |
Correct |
2 ms |
596 KB |
Output is correct |
18 |
Correct |
2 ms |
596 KB |
Output is correct |
19 |
Correct |
2 ms |
596 KB |
Output is correct |
20 |
Correct |
1 ms |
596 KB |
Output is correct |
21 |
Correct |
1 ms |
596 KB |
Output is correct |
22 |
Correct |
1 ms |
596 KB |
Output is correct |
23 |
Correct |
1 ms |
596 KB |
Output is correct |
24 |
Correct |
2 ms |
596 KB |
Output is correct |
25 |
Correct |
3 ms |
596 KB |
Output is correct |
26 |
Correct |
2 ms |
596 KB |
Output is correct |
27 |
Correct |
2 ms |
596 KB |
Output is correct |
28 |
Correct |
1 ms |
468 KB |
Output is correct |
29 |
Correct |
2 ms |
596 KB |
Output is correct |
30 |
Correct |
1 ms |
468 KB |
Output is correct |
31 |
Correct |
1 ms |
524 KB |
Output is correct |
32 |
Correct |
1 ms |
468 KB |
Output is correct |
33 |
Correct |
1 ms |
596 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
596 KB |
Output is correct |
6 |
Correct |
2 ms |
596 KB |
Output is correct |
7 |
Correct |
2 ms |
584 KB |
Output is correct |
8 |
Correct |
2 ms |
596 KB |
Output is correct |
9 |
Correct |
2 ms |
596 KB |
Output is correct |
10 |
Correct |
1 ms |
468 KB |
Output is correct |
11 |
Correct |
2 ms |
596 KB |
Output is correct |
12 |
Correct |
2 ms |
596 KB |
Output is correct |
13 |
Correct |
2 ms |
596 KB |
Output is correct |
14 |
Correct |
2 ms |
560 KB |
Output is correct |
15 |
Correct |
2 ms |
596 KB |
Output is correct |
16 |
Correct |
2 ms |
596 KB |
Output is correct |
17 |
Correct |
2 ms |
596 KB |
Output is correct |
18 |
Correct |
2 ms |
596 KB |
Output is correct |
19 |
Correct |
2 ms |
596 KB |
Output is correct |
20 |
Correct |
1 ms |
596 KB |
Output is correct |
21 |
Correct |
1 ms |
596 KB |
Output is correct |
22 |
Correct |
1 ms |
596 KB |
Output is correct |
23 |
Correct |
1 ms |
596 KB |
Output is correct |
24 |
Correct |
2 ms |
596 KB |
Output is correct |
25 |
Correct |
3 ms |
596 KB |
Output is correct |
26 |
Correct |
2 ms |
596 KB |
Output is correct |
27 |
Correct |
2 ms |
596 KB |
Output is correct |
28 |
Correct |
1 ms |
468 KB |
Output is correct |
29 |
Correct |
2 ms |
596 KB |
Output is correct |
30 |
Correct |
1 ms |
468 KB |
Output is correct |
31 |
Correct |
1 ms |
524 KB |
Output is correct |
32 |
Correct |
1 ms |
468 KB |
Output is correct |
33 |
Correct |
1 ms |
596 KB |
Output is correct |
34 |
Correct |
262 ms |
81844 KB |
Output is correct |
35 |
Correct |
273 ms |
78120 KB |
Output is correct |
36 |
Correct |
268 ms |
76956 KB |
Output is correct |
37 |
Correct |
274 ms |
78412 KB |
Output is correct |
38 |
Correct |
236 ms |
78376 KB |
Output is correct |
39 |
Correct |
261 ms |
77716 KB |
Output is correct |
40 |
Correct |
290 ms |
83488 KB |
Output is correct |
41 |
Correct |
273 ms |
79444 KB |
Output is correct |
42 |
Correct |
288 ms |
81336 KB |
Output is correct |
43 |
Correct |
290 ms |
84096 KB |
Output is correct |
44 |
Correct |
284 ms |
84096 KB |
Output is correct |
45 |
Correct |
298 ms |
83984 KB |
Output is correct |
46 |
Correct |
293 ms |
84036 KB |
Output is correct |
47 |
Correct |
305 ms |
83152 KB |
Output is correct |
48 |
Correct |
284 ms |
82964 KB |
Output is correct |
49 |
Correct |
271 ms |
83612 KB |
Output is correct |
50 |
Correct |
274 ms |
83184 KB |
Output is correct |
51 |
Correct |
274 ms |
83188 KB |
Output is correct |
52 |
Correct |
204 ms |
72464 KB |
Output is correct |
53 |
Correct |
196 ms |
72448 KB |
Output is correct |
54 |
Correct |
190 ms |
72556 KB |
Output is correct |
55 |
Correct |
191 ms |
72272 KB |
Output is correct |
56 |
Correct |
271 ms |
84280 KB |
Output is correct |
57 |
Correct |
232 ms |
79032 KB |
Output is correct |
58 |
Correct |
229 ms |
79396 KB |
Output is correct |
59 |
Correct |
232 ms |
79384 KB |
Output is correct |
60 |
Correct |
230 ms |
75040 KB |
Output is correct |
61 |
Correct |
233 ms |
79924 KB |
Output is correct |
62 |
Correct |
239 ms |
78912 KB |
Output is correct |
63 |
Correct |
235 ms |
79876 KB |
Output is correct |
64 |
Correct |
231 ms |
77224 KB |
Output is correct |
65 |
Correct |
242 ms |
79992 KB |
Output is correct |