// IOI 2021
#include <bits/stdc++.h>
using namespace std;
#define endl '\n'
#define ends ' '
#define endt '\t'
#define die(x) return cout << x << endl, 0
#define all(v) v.begin(), v.end()
#define sz(x) (int)(x.size())
void debug_out() { cerr << endl; }
template <typename Head, typename... Tail>
void debug_out(Head H, Tail... T) { cerr << ends << H; debug_out(T...); }
#define debug(...) cerr << "{" << #__VA_ARGS__ << "}:", debug_out(__VA_ARGS__)
typedef long long ll;
typedef pair<int, int> pii;
const int INF = 1e9;
const ll MOD = 1e9 + 7;
////////////////////////////////////////////////////////////////////
const int N = 1e6 + 5;
int DP[N][2][2];
int A[2][N];
bool R[N];
int main() {
ios::sync_with_stdio(0), cin.tie(0), cout.tie(0);
mt19937 Rnd(time(0));
for (int i = 0; i < N; i++) for (int j = 0; j < 2; j++) DP[i][j][0] = INF, DP[i][j][1] = - INF;
int n; cin >> n;
for (int i = 0; i < 2; i++) for (int j = 0; j < n + n; j++) cin >> A[i][j];
DP[0][1][0] = DP[0][1][1] = 1;
DP[0][0][0] = DP[0][0][1] = 0;
for (int i = 1; i < n + n; i++) for (int j = 0; j < 2; j++) {
if (A[j][i - 1] <= A[j][i]) {
DP[i][j][0] = min(DP[i][j][0], DP[i - 1][j][0] + j);
DP[i][j][1] = max(DP[i][j][1], DP[i - 1][j][1] + j);
}
if (A[1 - j][i - 1] <= A[j][i]) {
DP[i][j][0] = min(DP[i][j][0], DP[i - 1][1 - j][0] + j);
DP[i][j][1] = max(DP[i][j][1], DP[i - 1][1 - j][1] + j);
}
}
int cnt = n;
for (int i = n + n - 1; i >= 0; i--) {
bool ok = false;
for (int j = 0; j < 2; j++) {
if (i + 1 < n + n && A[j][i] > A[R[i + 1]][i + 1]) continue;
if (DP[i][j][0] <= cnt && cnt <= DP[i][j][1]) {
R[i] = j;
ok = true;
cnt -= j;
break;
}
}
if (!ok) die(-1);
}
for (int i = 0; i < n + n; i++) cout << (R[i] ? 'B' : 'A');
cout << endl;
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
10 ms |
16000 KB |
Output is correct |
2 |
Correct |
10 ms |
16128 KB |
Output is correct |
3 |
Correct |
10 ms |
16000 KB |
Output is correct |
4 |
Correct |
10 ms |
16000 KB |
Output is correct |
5 |
Correct |
11 ms |
16000 KB |
Output is correct |
6 |
Correct |
11 ms |
16000 KB |
Output is correct |
7 |
Correct |
14 ms |
16128 KB |
Output is correct |
8 |
Correct |
11 ms |
16128 KB |
Output is correct |
9 |
Correct |
11 ms |
16128 KB |
Output is correct |
10 |
Correct |
11 ms |
16128 KB |
Output is correct |
11 |
Correct |
13 ms |
16128 KB |
Output is correct |
12 |
Correct |
11 ms |
16128 KB |
Output is correct |
13 |
Correct |
14 ms |
16128 KB |
Output is correct |
14 |
Correct |
11 ms |
16128 KB |
Output is correct |
15 |
Correct |
11 ms |
16128 KB |
Output is correct |
16 |
Correct |
11 ms |
16128 KB |
Output is correct |
17 |
Correct |
12 ms |
16128 KB |
Output is correct |
18 |
Correct |
12 ms |
16128 KB |
Output is correct |
19 |
Correct |
13 ms |
16128 KB |
Output is correct |
20 |
Correct |
12 ms |
16256 KB |
Output is correct |
21 |
Correct |
11 ms |
16128 KB |
Output is correct |
22 |
Correct |
11 ms |
16128 KB |
Output is correct |
23 |
Correct |
10 ms |
16052 KB |
Output is correct |
24 |
Correct |
14 ms |
16128 KB |
Output is correct |
25 |
Correct |
11 ms |
16128 KB |
Output is correct |
26 |
Correct |
11 ms |
16128 KB |
Output is correct |
27 |
Correct |
11 ms |
16128 KB |
Output is correct |
28 |
Correct |
12 ms |
16128 KB |
Output is correct |
29 |
Correct |
12 ms |
16128 KB |
Output is correct |
30 |
Correct |
12 ms |
16128 KB |
Output is correct |
31 |
Correct |
11 ms |
16128 KB |
Output is correct |
32 |
Correct |
11 ms |
16128 KB |
Output is correct |
33 |
Correct |
12 ms |
16128 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
10 ms |
16000 KB |
Output is correct |
2 |
Correct |
10 ms |
16128 KB |
Output is correct |
3 |
Correct |
10 ms |
16000 KB |
Output is correct |
4 |
Correct |
10 ms |
16000 KB |
Output is correct |
5 |
Correct |
11 ms |
16000 KB |
Output is correct |
6 |
Correct |
11 ms |
16000 KB |
Output is correct |
7 |
Correct |
14 ms |
16128 KB |
Output is correct |
8 |
Correct |
11 ms |
16128 KB |
Output is correct |
9 |
Correct |
11 ms |
16128 KB |
Output is correct |
10 |
Correct |
11 ms |
16128 KB |
Output is correct |
11 |
Correct |
13 ms |
16128 KB |
Output is correct |
12 |
Correct |
11 ms |
16128 KB |
Output is correct |
13 |
Correct |
14 ms |
16128 KB |
Output is correct |
14 |
Correct |
11 ms |
16128 KB |
Output is correct |
15 |
Correct |
11 ms |
16128 KB |
Output is correct |
16 |
Correct |
11 ms |
16128 KB |
Output is correct |
17 |
Correct |
12 ms |
16128 KB |
Output is correct |
18 |
Correct |
12 ms |
16128 KB |
Output is correct |
19 |
Correct |
13 ms |
16128 KB |
Output is correct |
20 |
Correct |
12 ms |
16256 KB |
Output is correct |
21 |
Correct |
11 ms |
16128 KB |
Output is correct |
22 |
Correct |
11 ms |
16128 KB |
Output is correct |
23 |
Correct |
10 ms |
16052 KB |
Output is correct |
24 |
Correct |
14 ms |
16128 KB |
Output is correct |
25 |
Correct |
11 ms |
16128 KB |
Output is correct |
26 |
Correct |
11 ms |
16128 KB |
Output is correct |
27 |
Correct |
11 ms |
16128 KB |
Output is correct |
28 |
Correct |
12 ms |
16128 KB |
Output is correct |
29 |
Correct |
12 ms |
16128 KB |
Output is correct |
30 |
Correct |
12 ms |
16128 KB |
Output is correct |
31 |
Correct |
11 ms |
16128 KB |
Output is correct |
32 |
Correct |
11 ms |
16128 KB |
Output is correct |
33 |
Correct |
12 ms |
16128 KB |
Output is correct |
34 |
Correct |
344 ms |
24056 KB |
Output is correct |
35 |
Correct |
356 ms |
25492 KB |
Output is correct |
36 |
Correct |
346 ms |
25336 KB |
Output is correct |
37 |
Correct |
355 ms |
25464 KB |
Output is correct |
38 |
Correct |
339 ms |
25464 KB |
Output is correct |
39 |
Correct |
335 ms |
25592 KB |
Output is correct |
40 |
Correct |
363 ms |
26360 KB |
Output is correct |
41 |
Correct |
340 ms |
27000 KB |
Output is correct |
42 |
Correct |
361 ms |
27256 KB |
Output is correct |
43 |
Correct |
377 ms |
26616 KB |
Output is correct |
44 |
Correct |
386 ms |
26360 KB |
Output is correct |
45 |
Correct |
382 ms |
26584 KB |
Output is correct |
46 |
Correct |
361 ms |
26744 KB |
Output is correct |
47 |
Correct |
378 ms |
27536 KB |
Output is correct |
48 |
Correct |
374 ms |
27384 KB |
Output is correct |
49 |
Correct |
360 ms |
27384 KB |
Output is correct |
50 |
Correct |
391 ms |
27640 KB |
Output is correct |
51 |
Correct |
395 ms |
27640 KB |
Output is correct |
52 |
Correct |
253 ms |
26616 KB |
Output is correct |
53 |
Correct |
248 ms |
26616 KB |
Output is correct |
54 |
Correct |
287 ms |
26592 KB |
Output is correct |
55 |
Correct |
252 ms |
26616 KB |
Output is correct |
56 |
Correct |
389 ms |
27768 KB |
Output is correct |
57 |
Correct |
327 ms |
27644 KB |
Output is correct |
58 |
Correct |
324 ms |
27640 KB |
Output is correct |
59 |
Correct |
331 ms |
27768 KB |
Output is correct |
60 |
Correct |
308 ms |
27204 KB |
Output is correct |
61 |
Correct |
329 ms |
27768 KB |
Output is correct |
62 |
Correct |
327 ms |
27640 KB |
Output is correct |
63 |
Correct |
324 ms |
27640 KB |
Output is correct |
64 |
Correct |
315 ms |
27384 KB |
Output is correct |
65 |
Correct |
334 ms |
27768 KB |
Output is correct |