#include <bits/stdc++.h>
#define IO_OP ios::sync_with_stdio(0), cin.tie(0)
#define F first
#define S second
#define V vector
#define PB push_back
#define EB emplace_back
#define MP make_pair
#define SZ(v) int((v).size())
#define ALL(v) (v).begin(), (v).end()
using namespace std;
typedef long long ll;
typedef pair<int, int> pi;
typedef V<int> vi;
const int INF = 1e9 + 7;
signed main()
{
IO_OP;
int n;
cin >> n;
n *= 2;
V<array<int, 2>> a(n);
for(int i = 0; i < n; i++)
cin >> a[i][0];
for(int i = 0; i < n; i++)
cin >> a[i][1];
V<array<int, 2>> l(n, {INF, INF}), r(n, {-INF, -INF});
auto upd = [&] (int i, int j, int L, int R) {
l[i][j] = min(l[i][j], L);
r[i][j] = max(r[i][j], R);
};
upd(0, 0, 0, 0);
upd(0, 1, 1, 1);
for(int i = 1; i < n; i++) {
for(int j = 0; j < 2; j++) if(l[i - 1][j] <= r[i - 1][j]) {
for(int k = 0; k < 2; k++) {
if(a[i - 1][j] <= a[i][k]) {
int L = l[i - 1][j] + k, R = r[i - 1][j] + k;
upd(i, k, L, R);
}
}
}
}
int j = -1;
for(int i = 0; i < 2; i++) {
if(l[n - 1][i] <= n / 2 && n / 2 <= r[n - 1][i])
j = i;
}
if(j == -1) {
cout << -1 << '\n';
return 0;
}
int i = n - 1, need = n / 2;
string s;
while(i >= 0) {
assert(l[i][j] <= need && need <= r[i][j]);
s += 'A' + j;
need -= j;
if(i == 0) break;
for(int k = 0; k < 2; k++) {
if(a[i][j] >= a[i - 1][k] && l[i - 1][k] <= need && need <= r[i - 1][k]) {
j = k;
break;
}
}
i--;
}
reverse(ALL(s));
cout << s << '\n';
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
204 KB |
Output is correct |
4 |
Correct |
0 ms |
204 KB |
Output is correct |
5 |
Correct |
1 ms |
460 KB |
Output is correct |
6 |
Correct |
1 ms |
452 KB |
Output is correct |
7 |
Correct |
1 ms |
444 KB |
Output is correct |
8 |
Correct |
1 ms |
460 KB |
Output is correct |
9 |
Correct |
1 ms |
460 KB |
Output is correct |
10 |
Correct |
1 ms |
452 KB |
Output is correct |
11 |
Correct |
2 ms |
460 KB |
Output is correct |
12 |
Correct |
2 ms |
460 KB |
Output is correct |
13 |
Correct |
2 ms |
460 KB |
Output is correct |
14 |
Correct |
2 ms |
460 KB |
Output is correct |
15 |
Correct |
2 ms |
448 KB |
Output is correct |
16 |
Correct |
2 ms |
460 KB |
Output is correct |
17 |
Correct |
2 ms |
460 KB |
Output is correct |
18 |
Correct |
2 ms |
460 KB |
Output is correct |
19 |
Correct |
1 ms |
460 KB |
Output is correct |
20 |
Correct |
1 ms |
320 KB |
Output is correct |
21 |
Correct |
1 ms |
332 KB |
Output is correct |
22 |
Correct |
1 ms |
332 KB |
Output is correct |
23 |
Correct |
1 ms |
332 KB |
Output is correct |
24 |
Correct |
1 ms |
460 KB |
Output is correct |
25 |
Correct |
1 ms |
452 KB |
Output is correct |
26 |
Correct |
1 ms |
460 KB |
Output is correct |
27 |
Correct |
2 ms |
460 KB |
Output is correct |
28 |
Correct |
2 ms |
328 KB |
Output is correct |
29 |
Correct |
1 ms |
460 KB |
Output is correct |
30 |
Correct |
1 ms |
324 KB |
Output is correct |
31 |
Correct |
1 ms |
452 KB |
Output is correct |
32 |
Correct |
1 ms |
332 KB |
Output is correct |
33 |
Correct |
1 ms |
460 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
204 KB |
Output is correct |
4 |
Correct |
0 ms |
204 KB |
Output is correct |
5 |
Correct |
1 ms |
460 KB |
Output is correct |
6 |
Correct |
1 ms |
452 KB |
Output is correct |
7 |
Correct |
1 ms |
444 KB |
Output is correct |
8 |
Correct |
1 ms |
460 KB |
Output is correct |
9 |
Correct |
1 ms |
460 KB |
Output is correct |
10 |
Correct |
1 ms |
452 KB |
Output is correct |
11 |
Correct |
2 ms |
460 KB |
Output is correct |
12 |
Correct |
2 ms |
460 KB |
Output is correct |
13 |
Correct |
2 ms |
460 KB |
Output is correct |
14 |
Correct |
2 ms |
460 KB |
Output is correct |
15 |
Correct |
2 ms |
448 KB |
Output is correct |
16 |
Correct |
2 ms |
460 KB |
Output is correct |
17 |
Correct |
2 ms |
460 KB |
Output is correct |
18 |
Correct |
2 ms |
460 KB |
Output is correct |
19 |
Correct |
1 ms |
460 KB |
Output is correct |
20 |
Correct |
1 ms |
320 KB |
Output is correct |
21 |
Correct |
1 ms |
332 KB |
Output is correct |
22 |
Correct |
1 ms |
332 KB |
Output is correct |
23 |
Correct |
1 ms |
332 KB |
Output is correct |
24 |
Correct |
1 ms |
460 KB |
Output is correct |
25 |
Correct |
1 ms |
452 KB |
Output is correct |
26 |
Correct |
1 ms |
460 KB |
Output is correct |
27 |
Correct |
2 ms |
460 KB |
Output is correct |
28 |
Correct |
2 ms |
328 KB |
Output is correct |
29 |
Correct |
1 ms |
460 KB |
Output is correct |
30 |
Correct |
1 ms |
324 KB |
Output is correct |
31 |
Correct |
1 ms |
452 KB |
Output is correct |
32 |
Correct |
1 ms |
332 KB |
Output is correct |
33 |
Correct |
1 ms |
460 KB |
Output is correct |
34 |
Correct |
205 ms |
42296 KB |
Output is correct |
35 |
Correct |
234 ms |
41908 KB |
Output is correct |
36 |
Correct |
205 ms |
41288 KB |
Output is correct |
37 |
Correct |
220 ms |
42068 KB |
Output is correct |
38 |
Correct |
192 ms |
42064 KB |
Output is correct |
39 |
Correct |
209 ms |
41208 KB |
Output is correct |
40 |
Correct |
218 ms |
33280 KB |
Output is correct |
41 |
Correct |
209 ms |
42224 KB |
Output is correct |
42 |
Correct |
221 ms |
38532 KB |
Output is correct |
43 |
Correct |
234 ms |
28636 KB |
Output is correct |
44 |
Correct |
210 ms |
28612 KB |
Output is correct |
45 |
Correct |
249 ms |
28652 KB |
Output is correct |
46 |
Correct |
223 ms |
28580 KB |
Output is correct |
47 |
Correct |
214 ms |
42548 KB |
Output is correct |
48 |
Correct |
222 ms |
44072 KB |
Output is correct |
49 |
Correct |
204 ms |
31196 KB |
Output is correct |
50 |
Correct |
221 ms |
41204 KB |
Output is correct |
51 |
Correct |
226 ms |
41348 KB |
Output is correct |
52 |
Correct |
151 ms |
33452 KB |
Output is correct |
53 |
Correct |
146 ms |
33468 KB |
Output is correct |
54 |
Correct |
171 ms |
33456 KB |
Output is correct |
55 |
Correct |
142 ms |
33212 KB |
Output is correct |
56 |
Correct |
266 ms |
28644 KB |
Output is correct |
57 |
Correct |
183 ms |
40200 KB |
Output is correct |
58 |
Correct |
196 ms |
40512 KB |
Output is correct |
59 |
Correct |
200 ms |
40368 KB |
Output is correct |
60 |
Correct |
211 ms |
38296 KB |
Output is correct |
61 |
Correct |
185 ms |
40876 KB |
Output is correct |
62 |
Correct |
203 ms |
40284 KB |
Output is correct |
63 |
Correct |
205 ms |
40848 KB |
Output is correct |
64 |
Correct |
189 ms |
39400 KB |
Output is correct |
65 |
Correct |
185 ms |
40876 KB |
Output is correct |