#include<bits/stdc++.h>
using namespace std;
#define int long long
#define ii pair <int, int>
#define app push_back
#define all(a) a.begin(), a.end()
#define bp __builtin_popcount
#define ll long long
#define mp make_pair
#define f first
#define s second
#define Time (double)clock()/CLOCKS_PER_SEC
const int N = 1e6 + 7;
int a[2][N];
ii dp[N][2];
void merge(ii &a, ii b) {
if (a.s < a.f)
a = b;
else
a = mp(min(a.f, b.f), max(a.s, b.s));
}
signed main() {
#ifdef HOME
freopen("input.txt", "r", stdin);
#else
#define endl '\n'
ios_base::sync_with_stdio(0); cin.tie(0);
#endif
int n;
cin >> n;
for (int i = 0; i < 2; ++i)
for (int j = 0; j < 2 * n; ++j)
cin >> a[i][j];
for (int i = 0; i < N; ++i)
for (int j = 0; j < 2; ++j)
dp[i][j] = mp(N, -N);
dp[0][0] = mp(0, 0);
for (int i = 0; i < 2 * n; ++i) {
for (int t = 0; t < 2; ++t) {
int cur = -1;
if (i)
cur = a[t][i - 1];
for (int add = 0; add < 2; ++add) {
if (cur <= a[add][i]) {
merge(dp[i + 1][add], mp(dp[i][t].f + (add == 0), dp[i][t].s + (add == 0)));
}
}
}
}
bool r = 0;
for (int i = 0; i < 2; ++i)
if (dp[2 * n][i].f <= n && n <= dp[2 * n][i].s)
r = i;
if (n < dp[2 * n][r].f || n > dp[2 * n][r].s) {
cout << "-1" << endl;
}
else {
string ans;
int cnt = n;
for (int i = 2 * n; ; --i) {
if (r)
ans += 'B';
else {
--cnt;
ans += 'A';
}
if (i == 1)
break;
if (a[0][i - 2] <= a[r][i - 1] && dp[i - 1][0].f <= cnt && cnt <= dp[i - 1][0].s)
r = 0;
else
r = 1;
}
reverse(all(ans));
cout << ans << endl;
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
20 ms |
31616 KB |
Output is correct |
2 |
Correct |
19 ms |
31616 KB |
Output is correct |
3 |
Correct |
22 ms |
31616 KB |
Output is correct |
4 |
Correct |
20 ms |
31616 KB |
Output is correct |
5 |
Correct |
20 ms |
31744 KB |
Output is correct |
6 |
Correct |
20 ms |
31744 KB |
Output is correct |
7 |
Correct |
20 ms |
31744 KB |
Output is correct |
8 |
Correct |
20 ms |
31744 KB |
Output is correct |
9 |
Correct |
20 ms |
31744 KB |
Output is correct |
10 |
Correct |
21 ms |
31744 KB |
Output is correct |
11 |
Correct |
21 ms |
31744 KB |
Output is correct |
12 |
Correct |
21 ms |
31744 KB |
Output is correct |
13 |
Correct |
22 ms |
31788 KB |
Output is correct |
14 |
Correct |
20 ms |
31744 KB |
Output is correct |
15 |
Correct |
20 ms |
31744 KB |
Output is correct |
16 |
Correct |
19 ms |
31744 KB |
Output is correct |
17 |
Correct |
20 ms |
31744 KB |
Output is correct |
18 |
Correct |
19 ms |
31744 KB |
Output is correct |
19 |
Correct |
24 ms |
31744 KB |
Output is correct |
20 |
Correct |
19 ms |
31744 KB |
Output is correct |
21 |
Correct |
20 ms |
31744 KB |
Output is correct |
22 |
Correct |
20 ms |
31744 KB |
Output is correct |
23 |
Correct |
20 ms |
31744 KB |
Output is correct |
24 |
Correct |
21 ms |
31744 KB |
Output is correct |
25 |
Correct |
20 ms |
31744 KB |
Output is correct |
26 |
Correct |
21 ms |
31744 KB |
Output is correct |
27 |
Correct |
21 ms |
31744 KB |
Output is correct |
28 |
Correct |
20 ms |
31744 KB |
Output is correct |
29 |
Correct |
23 ms |
31744 KB |
Output is correct |
30 |
Correct |
20 ms |
31744 KB |
Output is correct |
31 |
Correct |
21 ms |
31744 KB |
Output is correct |
32 |
Correct |
20 ms |
31744 KB |
Output is correct |
33 |
Correct |
20 ms |
31744 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
20 ms |
31616 KB |
Output is correct |
2 |
Correct |
19 ms |
31616 KB |
Output is correct |
3 |
Correct |
22 ms |
31616 KB |
Output is correct |
4 |
Correct |
20 ms |
31616 KB |
Output is correct |
5 |
Correct |
20 ms |
31744 KB |
Output is correct |
6 |
Correct |
20 ms |
31744 KB |
Output is correct |
7 |
Correct |
20 ms |
31744 KB |
Output is correct |
8 |
Correct |
20 ms |
31744 KB |
Output is correct |
9 |
Correct |
20 ms |
31744 KB |
Output is correct |
10 |
Correct |
21 ms |
31744 KB |
Output is correct |
11 |
Correct |
21 ms |
31744 KB |
Output is correct |
12 |
Correct |
21 ms |
31744 KB |
Output is correct |
13 |
Correct |
22 ms |
31788 KB |
Output is correct |
14 |
Correct |
20 ms |
31744 KB |
Output is correct |
15 |
Correct |
20 ms |
31744 KB |
Output is correct |
16 |
Correct |
19 ms |
31744 KB |
Output is correct |
17 |
Correct |
20 ms |
31744 KB |
Output is correct |
18 |
Correct |
19 ms |
31744 KB |
Output is correct |
19 |
Correct |
24 ms |
31744 KB |
Output is correct |
20 |
Correct |
19 ms |
31744 KB |
Output is correct |
21 |
Correct |
20 ms |
31744 KB |
Output is correct |
22 |
Correct |
20 ms |
31744 KB |
Output is correct |
23 |
Correct |
20 ms |
31744 KB |
Output is correct |
24 |
Correct |
21 ms |
31744 KB |
Output is correct |
25 |
Correct |
20 ms |
31744 KB |
Output is correct |
26 |
Correct |
21 ms |
31744 KB |
Output is correct |
27 |
Correct |
21 ms |
31744 KB |
Output is correct |
28 |
Correct |
20 ms |
31744 KB |
Output is correct |
29 |
Correct |
23 ms |
31744 KB |
Output is correct |
30 |
Correct |
20 ms |
31744 KB |
Output is correct |
31 |
Correct |
21 ms |
31744 KB |
Output is correct |
32 |
Correct |
20 ms |
31744 KB |
Output is correct |
33 |
Correct |
20 ms |
31744 KB |
Output is correct |
34 |
Correct |
301 ms |
47156 KB |
Output is correct |
35 |
Correct |
300 ms |
48176 KB |
Output is correct |
36 |
Correct |
294 ms |
47920 KB |
Output is correct |
37 |
Correct |
292 ms |
48176 KB |
Output is correct |
38 |
Correct |
288 ms |
48304 KB |
Output is correct |
39 |
Correct |
282 ms |
48432 KB |
Output is correct |
40 |
Correct |
320 ms |
49516 KB |
Output is correct |
41 |
Correct |
299 ms |
48560 KB |
Output is correct |
42 |
Correct |
318 ms |
48892 KB |
Output is correct |
43 |
Correct |
312 ms |
49388 KB |
Output is correct |
44 |
Correct |
324 ms |
49400 KB |
Output is correct |
45 |
Correct |
322 ms |
49388 KB |
Output is correct |
46 |
Correct |
311 ms |
49516 KB |
Output is correct |
47 |
Correct |
292 ms |
49388 KB |
Output is correct |
48 |
Correct |
293 ms |
49516 KB |
Output is correct |
49 |
Correct |
325 ms |
49388 KB |
Output is correct |
50 |
Correct |
329 ms |
49620 KB |
Output is correct |
51 |
Correct |
325 ms |
49392 KB |
Output is correct |
52 |
Correct |
199 ms |
49388 KB |
Output is correct |
53 |
Correct |
205 ms |
49388 KB |
Output is correct |
54 |
Correct |
186 ms |
49516 KB |
Output is correct |
55 |
Correct |
174 ms |
49388 KB |
Output is correct |
56 |
Correct |
320 ms |
49388 KB |
Output is correct |
57 |
Correct |
269 ms |
49388 KB |
Output is correct |
58 |
Correct |
275 ms |
49516 KB |
Output is correct |
59 |
Correct |
260 ms |
49388 KB |
Output is correct |
60 |
Correct |
259 ms |
48432 KB |
Output is correct |
61 |
Correct |
280 ms |
49516 KB |
Output is correct |
62 |
Correct |
273 ms |
49328 KB |
Output is correct |
63 |
Correct |
278 ms |
49388 KB |
Output is correct |
64 |
Correct |
253 ms |
48816 KB |
Output is correct |
65 |
Correct |
283 ms |
49520 KB |
Output is correct |