#include <iostream>
#include <complex>
#include <vector>
#include <string>
#include <algorithm>
#include <cstdio>
#include <numeric>
#include <cstring>
#include <ctime>
#include <cstdlib>
#include <set>
#include <map>
#include <unordered_map>
#include <unordered_set>
#include <list>
#include <cmath>
#include <bitset>
#include <cassert>
#include <queue>
#include <stack>
#include <deque>
#include <random>
using namespace std;
template<typename T1, typename T2> inline void chkmin(T1 &a, T2 b) {if (a > b) a = b;}
template<typename T1, typename T2> inline void chkmax(T1 &a, T2 b) {if (a < b) a = b;}
#define files(FILENAME) read(FILENAME); write(FILENAME)
#define read(FILENAME) freopen((FILENAME + ".in").c_str(), "r", stdin)
#define write(FILENAME) freopen((FILENAME + ".out").c_str(), "w", stdout)
#define all(c) (c).begin(), (c).end()
#define sz(c) (int)(c).size()
#define left left228
#define right right228
#define y1 y1228
#define mp make_pair
#define pb push_back
#define y2 y2228
#define rank rank228
using ll = long long;
using ld = long double;
const string FILENAME = "input";
const int MAXN = 500228;
int n;
int a[2 * MAXN], b[2 * MAXN];
int L[2 * MAXN][2], R[2 * MAXN][2];
int main() {
ios_base::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
//read(FILENAME);
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 = 1; i <= 2 * n; i++) {
L[i][0] = L[i][1] = 1e9;
R[i][0] = R[i][1] = -1e9;
}
L[1][0] = 1;
R[1][0] = 1;
L[1][1] = 0;
R[1][1] = 0;
for (int i = 1; i < 2 * n; i++) {
if (a[i] <= a[i + 1]) {
chkmin(L[i + 1][0], L[i][0] + 1);
chkmax(R[i + 1][0], R[i][0] + 1);
}
if (a[i] <= b[i + 1]) {
chkmin(L[i + 1][1], L[i][0]);
chkmax(R[i + 1][1], R[i][0]);
}
if (b[i] <= a[i + 1]) {
chkmin(L[i + 1][0], L[i][1] + 1);
chkmax(R[i + 1][0], R[i][1] + 1);
}
if (b[i] <= b[i + 1]) {
chkmin(L[i + 1][1], L[i][1]);
chkmax(R[i + 1][1], R[i][1]);
}
}
if (!(L[2 * n][0] <= n && R[2 * n][0] >= n) && !(L[2 * n][1] <= n && R[2 * n][1] >= n)) {
cout << -1 << '\n';
return 0;
}
int i = 2 * n;
int cnt = n;
int last = ((L[2 * n][0] <= n && R[2 * n][0] >= n) ? 0 : 1);
string sol = "";
while (i >= 2) {
if (last == 0) {
sol += 'A';
} else {
sol += 'B';
}
if (last == 0) {
if (a[i - 1] <= a[i] && L[i - 1][0] + 1 <= cnt && cnt <= R[i - 1][0] + 1) {
last = 0;
} else if (b[i - 1] <= a[i] && L[i - 1][1] + 1 <= cnt && cnt <= R[i - 1][1] + 1) {
last = 1;
}
cnt--;
} else {
if (a[i - 1] <= b[i] && L[i - 1][0] <= cnt && cnt <= R[i - 1][0]) {
last = 0;
} else if (b[i - 1] <= b[i] && L[i - 1][1] <= cnt && cnt <= R[i - 1][1]) {
last = 1;
}
}
i--;
}
if (last == 0) {
sol += 'A';
} else {
sol += 'B';
}
reverse(all(sol));
cout << sol << '\n';
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
6488 KB |
Output is correct |
2 |
Correct |
1 ms |
6488 KB |
Output is correct |
3 |
Correct |
1 ms |
6492 KB |
Output is correct |
4 |
Correct |
1 ms |
6488 KB |
Output is correct |
5 |
Correct |
2 ms |
6492 KB |
Output is correct |
6 |
Correct |
1 ms |
6492 KB |
Output is correct |
7 |
Correct |
1 ms |
6492 KB |
Output is correct |
8 |
Correct |
1 ms |
6492 KB |
Output is correct |
9 |
Correct |
2 ms |
6492 KB |
Output is correct |
10 |
Correct |
1 ms |
6492 KB |
Output is correct |
11 |
Correct |
2 ms |
6488 KB |
Output is correct |
12 |
Correct |
2 ms |
6656 KB |
Output is correct |
13 |
Correct |
2 ms |
6620 KB |
Output is correct |
14 |
Correct |
2 ms |
6492 KB |
Output is correct |
15 |
Correct |
2 ms |
6488 KB |
Output is correct |
16 |
Correct |
2 ms |
6488 KB |
Output is correct |
17 |
Correct |
2 ms |
6492 KB |
Output is correct |
18 |
Correct |
2 ms |
6492 KB |
Output is correct |
19 |
Correct |
2 ms |
6616 KB |
Output is correct |
20 |
Correct |
2 ms |
6492 KB |
Output is correct |
21 |
Correct |
2 ms |
6492 KB |
Output is correct |
22 |
Correct |
2 ms |
6492 KB |
Output is correct |
23 |
Correct |
2 ms |
6492 KB |
Output is correct |
24 |
Correct |
2 ms |
6748 KB |
Output is correct |
25 |
Correct |
2 ms |
6620 KB |
Output is correct |
26 |
Correct |
2 ms |
6740 KB |
Output is correct |
27 |
Correct |
1 ms |
6488 KB |
Output is correct |
28 |
Correct |
2 ms |
7000 KB |
Output is correct |
29 |
Correct |
1 ms |
6492 KB |
Output is correct |
30 |
Correct |
1 ms |
6492 KB |
Output is correct |
31 |
Correct |
2 ms |
6492 KB |
Output is correct |
32 |
Correct |
1 ms |
6492 KB |
Output is correct |
33 |
Correct |
2 ms |
6492 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
6488 KB |
Output is correct |
2 |
Correct |
1 ms |
6488 KB |
Output is correct |
3 |
Correct |
1 ms |
6492 KB |
Output is correct |
4 |
Correct |
1 ms |
6488 KB |
Output is correct |
5 |
Correct |
2 ms |
6492 KB |
Output is correct |
6 |
Correct |
1 ms |
6492 KB |
Output is correct |
7 |
Correct |
1 ms |
6492 KB |
Output is correct |
8 |
Correct |
1 ms |
6492 KB |
Output is correct |
9 |
Correct |
2 ms |
6492 KB |
Output is correct |
10 |
Correct |
1 ms |
6492 KB |
Output is correct |
11 |
Correct |
2 ms |
6488 KB |
Output is correct |
12 |
Correct |
2 ms |
6656 KB |
Output is correct |
13 |
Correct |
2 ms |
6620 KB |
Output is correct |
14 |
Correct |
2 ms |
6492 KB |
Output is correct |
15 |
Correct |
2 ms |
6488 KB |
Output is correct |
16 |
Correct |
2 ms |
6488 KB |
Output is correct |
17 |
Correct |
2 ms |
6492 KB |
Output is correct |
18 |
Correct |
2 ms |
6492 KB |
Output is correct |
19 |
Correct |
2 ms |
6616 KB |
Output is correct |
20 |
Correct |
2 ms |
6492 KB |
Output is correct |
21 |
Correct |
2 ms |
6492 KB |
Output is correct |
22 |
Correct |
2 ms |
6492 KB |
Output is correct |
23 |
Correct |
2 ms |
6492 KB |
Output is correct |
24 |
Correct |
2 ms |
6748 KB |
Output is correct |
25 |
Correct |
2 ms |
6620 KB |
Output is correct |
26 |
Correct |
2 ms |
6740 KB |
Output is correct |
27 |
Correct |
1 ms |
6488 KB |
Output is correct |
28 |
Correct |
2 ms |
7000 KB |
Output is correct |
29 |
Correct |
1 ms |
6492 KB |
Output is correct |
30 |
Correct |
1 ms |
6492 KB |
Output is correct |
31 |
Correct |
2 ms |
6492 KB |
Output is correct |
32 |
Correct |
1 ms |
6492 KB |
Output is correct |
33 |
Correct |
2 ms |
6492 KB |
Output is correct |
34 |
Correct |
162 ms |
40972 KB |
Output is correct |
35 |
Correct |
161 ms |
41744 KB |
Output is correct |
36 |
Correct |
160 ms |
41384 KB |
Output is correct |
37 |
Correct |
160 ms |
41784 KB |
Output is correct |
38 |
Correct |
148 ms |
41824 KB |
Output is correct |
39 |
Correct |
184 ms |
40972 KB |
Output is correct |
40 |
Correct |
167 ms |
43144 KB |
Output is correct |
41 |
Correct |
148 ms |
41400 KB |
Output is correct |
42 |
Correct |
159 ms |
42412 KB |
Output is correct |
43 |
Correct |
171 ms |
43336 KB |
Output is correct |
44 |
Correct |
173 ms |
43400 KB |
Output is correct |
45 |
Correct |
184 ms |
43384 KB |
Output is correct |
46 |
Correct |
167 ms |
43340 KB |
Output is correct |
47 |
Correct |
164 ms |
42408 KB |
Output is correct |
48 |
Correct |
167 ms |
42824 KB |
Output is correct |
49 |
Correct |
160 ms |
43080 KB |
Output is correct |
50 |
Correct |
180 ms |
42600 KB |
Output is correct |
51 |
Correct |
178 ms |
42608 KB |
Output is correct |
52 |
Correct |
118 ms |
33424 KB |
Output is correct |
53 |
Correct |
117 ms |
33612 KB |
Output is correct |
54 |
Correct |
104 ms |
33612 KB |
Output is correct |
55 |
Correct |
107 ms |
33344 KB |
Output is correct |
56 |
Correct |
165 ms |
45132 KB |
Output is correct |
57 |
Correct |
135 ms |
40012 KB |
Output is correct |
58 |
Correct |
138 ms |
40240 KB |
Output is correct |
59 |
Correct |
140 ms |
40012 KB |
Output is correct |
60 |
Correct |
130 ms |
39440 KB |
Output is correct |
61 |
Correct |
140 ms |
40456 KB |
Output is correct |
62 |
Correct |
140 ms |
40108 KB |
Output is correct |
63 |
Correct |
135 ms |
40648 KB |
Output is correct |
64 |
Correct |
134 ms |
39788 KB |
Output is correct |
65 |
Correct |
164 ms |
40444 KB |
Output is correct |