#include <bits/stdc++.h>
using namespace std;
#define FOR(i, a, b) for(int i = (a); i < (b); i++)
#define F0R(i, b) for(int i = 0; i < (b); i++)
#define R0F(i, b) for(int i = (b) - 1; i >= 0; i--)
#define ROF(i, a, b) for(int i = (b) - 1; i >= (a); i--)
using pi = pair<int, int>;
int main() {
ios::sync_with_stdio(false), cin.tie(nullptr);
int N; cin >> N;
vector<int> A(2 * N), B(2 * N);
F0R(i, 2 * N) cin >> A[i];
F0R(i, 2 * N) cin >> B[i];
vector<array<pi, 2>> dp(2 * N, {{{1e9, -1e9}, {1e9, -1e9}}});
dp[0][0] = {1, 1};
dp[0][1] = {-1, -1};
FOR(i, 1, 2 * N) {
if(A[i - 1] <= A[i]) {
dp[i][0].second = max(dp[i][0].second, dp[i - 1][0].second + 1);
dp[i][0].first = min(dp[i][0].first, dp[i - 1][0].first + 1);
}
if(A[i - 1] <= B[i]) {
dp[i][1].second = max(dp[i][1].second, dp[i - 1][0].second - 1);
dp[i][1].first = min(dp[i][1].first, dp[i - 1][0].first - 1);
}
if(B[i - 1] <= A[i]) {
dp[i][0].second = max(dp[i][0].second, dp[i - 1][1].second + 1);
dp[i][0].first = min(dp[i][0].first, dp[i - 1][1].first + 1);
}
if(B[i - 1] <= B[i]) {
dp[i][1].second = max(dp[i][1].second, dp[i - 1][1].second - 1);
dp[i][1].first = min(dp[i][1].first, dp[i - 1][1].first - 1);
}
}
vector<int> choice(2 * N);
int sum = 0;
int lv = 1e9;
ROF(i, 0, 2 * N) {
if(lv >= A[i] && dp[i][0].second >= -sum && -sum >= dp[i][0].first) {
choice[i] = 0;
lv = A[i];
sum++;
} else if(lv >= B[i] && dp[i][1].second >= -sum && -sum >= dp[i][1].first) {
choice[i] = 1;
lv = B[i];
sum--;
} else {
cout << -1 << endl;
return 0;
}
}
F0R(i, 2 * N) {
if(choice[i] == 0) cout << 'A';
else cout << 'B';
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
344 KB |
Output is correct |
4 |
Correct |
1 ms |
344 KB |
Output is correct |
5 |
Correct |
1 ms |
604 KB |
Output is correct |
6 |
Correct |
1 ms |
552 KB |
Output is correct |
7 |
Correct |
1 ms |
600 KB |
Output is correct |
8 |
Correct |
1 ms |
388 KB |
Output is correct |
9 |
Correct |
1 ms |
604 KB |
Output is correct |
10 |
Correct |
1 ms |
604 KB |
Output is correct |
11 |
Correct |
1 ms |
604 KB |
Output is correct |
12 |
Correct |
1 ms |
604 KB |
Output is correct |
13 |
Correct |
1 ms |
604 KB |
Output is correct |
14 |
Correct |
1 ms |
604 KB |
Output is correct |
15 |
Correct |
1 ms |
560 KB |
Output is correct |
16 |
Correct |
1 ms |
604 KB |
Output is correct |
17 |
Correct |
1 ms |
468 KB |
Output is correct |
18 |
Correct |
1 ms |
604 KB |
Output is correct |
19 |
Correct |
1 ms |
604 KB |
Output is correct |
20 |
Correct |
1 ms |
348 KB |
Output is correct |
21 |
Correct |
1 ms |
604 KB |
Output is correct |
22 |
Correct |
1 ms |
344 KB |
Output is correct |
23 |
Correct |
1 ms |
348 KB |
Output is correct |
24 |
Correct |
1 ms |
604 KB |
Output is correct |
25 |
Correct |
1 ms |
604 KB |
Output is correct |
26 |
Correct |
1 ms |
604 KB |
Output is correct |
27 |
Correct |
1 ms |
604 KB |
Output is correct |
28 |
Correct |
1 ms |
520 KB |
Output is correct |
29 |
Correct |
1 ms |
604 KB |
Output is correct |
30 |
Correct |
1 ms |
468 KB |
Output is correct |
31 |
Correct |
1 ms |
604 KB |
Output is correct |
32 |
Correct |
1 ms |
348 KB |
Output is correct |
33 |
Correct |
1 ms |
604 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
344 KB |
Output is correct |
4 |
Correct |
1 ms |
344 KB |
Output is correct |
5 |
Correct |
1 ms |
604 KB |
Output is correct |
6 |
Correct |
1 ms |
552 KB |
Output is correct |
7 |
Correct |
1 ms |
600 KB |
Output is correct |
8 |
Correct |
1 ms |
388 KB |
Output is correct |
9 |
Correct |
1 ms |
604 KB |
Output is correct |
10 |
Correct |
1 ms |
604 KB |
Output is correct |
11 |
Correct |
1 ms |
604 KB |
Output is correct |
12 |
Correct |
1 ms |
604 KB |
Output is correct |
13 |
Correct |
1 ms |
604 KB |
Output is correct |
14 |
Correct |
1 ms |
604 KB |
Output is correct |
15 |
Correct |
1 ms |
560 KB |
Output is correct |
16 |
Correct |
1 ms |
604 KB |
Output is correct |
17 |
Correct |
1 ms |
468 KB |
Output is correct |
18 |
Correct |
1 ms |
604 KB |
Output is correct |
19 |
Correct |
1 ms |
604 KB |
Output is correct |
20 |
Correct |
1 ms |
348 KB |
Output is correct |
21 |
Correct |
1 ms |
604 KB |
Output is correct |
22 |
Correct |
1 ms |
344 KB |
Output is correct |
23 |
Correct |
1 ms |
348 KB |
Output is correct |
24 |
Correct |
1 ms |
604 KB |
Output is correct |
25 |
Correct |
1 ms |
604 KB |
Output is correct |
26 |
Correct |
1 ms |
604 KB |
Output is correct |
27 |
Correct |
1 ms |
604 KB |
Output is correct |
28 |
Correct |
1 ms |
520 KB |
Output is correct |
29 |
Correct |
1 ms |
604 KB |
Output is correct |
30 |
Correct |
1 ms |
468 KB |
Output is correct |
31 |
Correct |
1 ms |
604 KB |
Output is correct |
32 |
Correct |
1 ms |
348 KB |
Output is correct |
33 |
Correct |
1 ms |
604 KB |
Output is correct |
34 |
Correct |
164 ms |
46272 KB |
Output is correct |
35 |
Correct |
182 ms |
44584 KB |
Output is correct |
36 |
Correct |
178 ms |
43792 KB |
Output is correct |
37 |
Correct |
185 ms |
45140 KB |
Output is correct |
38 |
Correct |
167 ms |
44708 KB |
Output is correct |
39 |
Correct |
165 ms |
43856 KB |
Output is correct |
40 |
Correct |
176 ms |
47444 KB |
Output is correct |
41 |
Correct |
170 ms |
44992 KB |
Output is correct |
42 |
Correct |
218 ms |
46764 KB |
Output is correct |
43 |
Correct |
192 ms |
47936 KB |
Output is correct |
44 |
Correct |
192 ms |
47960 KB |
Output is correct |
45 |
Correct |
188 ms |
47956 KB |
Output is correct |
46 |
Correct |
175 ms |
48136 KB |
Output is correct |
47 |
Correct |
185 ms |
47184 KB |
Output is correct |
48 |
Correct |
179 ms |
46932 KB |
Output is correct |
49 |
Correct |
183 ms |
47700 KB |
Output is correct |
50 |
Correct |
208 ms |
47188 KB |
Output is correct |
51 |
Correct |
195 ms |
47184 KB |
Output is correct |
52 |
Correct |
137 ms |
36416 KB |
Output is correct |
53 |
Correct |
138 ms |
36232 KB |
Output is correct |
54 |
Correct |
135 ms |
36416 KB |
Output is correct |
55 |
Correct |
126 ms |
36160 KB |
Output is correct |
56 |
Correct |
192 ms |
48208 KB |
Output is correct |
57 |
Correct |
157 ms |
43092 KB |
Output is correct |
58 |
Correct |
165 ms |
43168 KB |
Output is correct |
59 |
Correct |
157 ms |
43348 KB |
Output is correct |
60 |
Correct |
154 ms |
41076 KB |
Output is correct |
61 |
Correct |
162 ms |
43860 KB |
Output is correct |
62 |
Correct |
158 ms |
43092 KB |
Output is correct |
63 |
Correct |
155 ms |
43860 KB |
Output is correct |
64 |
Correct |
159 ms |
42324 KB |
Output is correct |
65 |
Correct |
159 ms |
43856 KB |
Output is correct |