#include <bits/stdc++.h>
using namespace std;
typedef pair<int, int> pii;
const pii inf = pii(1e8, -1e8);
pii operator+(pii a, pii b) {
return pii(min(a.first, b.first), max(a.second, b.second));
}
pii operator+(pii a, int b) {
return pii(a.first + b, a.second + b);
}
bool operator>(pii a, int b) {
return a.first <= b && b <= a.second;
}
int n;
int A[1000001][2];
pii dp[1000001][2];
int main() {
ios_base::sync_with_stdio(0); cin.tie(0);
cin >> n; n <<= 1;
for (int j = 0; j < 2; ++j) for (int i = 1; i <= n; ++i)
cin >> A[i][j];
dp[1][0] = pii(-1, -1);
dp[1][1] = pii(1, 1);
for (int i = 2; i <= n; ++i) {
for (int j = 0; j < 2; ++j) {
dp[i][j] = inf;
for (int k = 0; k < 2; ++k) {
if (A[i - 1][k] <= A[i][j])
dp[i][j] = dp[i][j] + (dp[i - 1][k] + (j + j - 1));
}
}
}
int j;
for (j = 0; j < 2; ++j) if (dp[n][j] > 0) break;
if (j == 2) return printf("-1\n"), 0;
string ans;
for (int i = n, sum = 0; ; --i) {
ans.push_back('A' + j);
if (i == 1) break;
sum -= j + j - 1;
for (int k = 0; k < 2; ++k) {
if (A[i - 1][k] <= A[i][j] && dp[i - 1][k] > sum) {
j = k;
break;
}
}
}
reverse(ans.begin(), ans.end());
printf("%s\n", ans.c_str());
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
384 KB |
Output is correct |
2 |
Correct |
0 ms |
384 KB |
Output is correct |
3 |
Correct |
0 ms |
384 KB |
Output is correct |
4 |
Correct |
0 ms |
384 KB |
Output is correct |
5 |
Correct |
1 ms |
512 KB |
Output is correct |
6 |
Correct |
2 ms |
512 KB |
Output is correct |
7 |
Correct |
1 ms |
512 KB |
Output is correct |
8 |
Correct |
1 ms |
512 KB |
Output is correct |
9 |
Correct |
1 ms |
512 KB |
Output is correct |
10 |
Correct |
2 ms |
532 KB |
Output is correct |
11 |
Correct |
1 ms |
512 KB |
Output is correct |
12 |
Correct |
2 ms |
512 KB |
Output is correct |
13 |
Correct |
2 ms |
512 KB |
Output is correct |
14 |
Correct |
2 ms |
512 KB |
Output is correct |
15 |
Correct |
2 ms |
512 KB |
Output is correct |
16 |
Correct |
1 ms |
512 KB |
Output is correct |
17 |
Correct |
2 ms |
512 KB |
Output is correct |
18 |
Correct |
2 ms |
512 KB |
Output is correct |
19 |
Correct |
2 ms |
512 KB |
Output is correct |
20 |
Correct |
1 ms |
512 KB |
Output is correct |
21 |
Correct |
1 ms |
512 KB |
Output is correct |
22 |
Correct |
1 ms |
512 KB |
Output is correct |
23 |
Correct |
1 ms |
512 KB |
Output is correct |
24 |
Correct |
2 ms |
512 KB |
Output is correct |
25 |
Correct |
2 ms |
512 KB |
Output is correct |
26 |
Correct |
2 ms |
512 KB |
Output is correct |
27 |
Correct |
1 ms |
512 KB |
Output is correct |
28 |
Correct |
2 ms |
512 KB |
Output is correct |
29 |
Correct |
1 ms |
512 KB |
Output is correct |
30 |
Correct |
1 ms |
512 KB |
Output is correct |
31 |
Correct |
1 ms |
512 KB |
Output is correct |
32 |
Correct |
1 ms |
512 KB |
Output is correct |
33 |
Correct |
1 ms |
512 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
384 KB |
Output is correct |
2 |
Correct |
0 ms |
384 KB |
Output is correct |
3 |
Correct |
0 ms |
384 KB |
Output is correct |
4 |
Correct |
0 ms |
384 KB |
Output is correct |
5 |
Correct |
1 ms |
512 KB |
Output is correct |
6 |
Correct |
2 ms |
512 KB |
Output is correct |
7 |
Correct |
1 ms |
512 KB |
Output is correct |
8 |
Correct |
1 ms |
512 KB |
Output is correct |
9 |
Correct |
1 ms |
512 KB |
Output is correct |
10 |
Correct |
2 ms |
532 KB |
Output is correct |
11 |
Correct |
1 ms |
512 KB |
Output is correct |
12 |
Correct |
2 ms |
512 KB |
Output is correct |
13 |
Correct |
2 ms |
512 KB |
Output is correct |
14 |
Correct |
2 ms |
512 KB |
Output is correct |
15 |
Correct |
2 ms |
512 KB |
Output is correct |
16 |
Correct |
1 ms |
512 KB |
Output is correct |
17 |
Correct |
2 ms |
512 KB |
Output is correct |
18 |
Correct |
2 ms |
512 KB |
Output is correct |
19 |
Correct |
2 ms |
512 KB |
Output is correct |
20 |
Correct |
1 ms |
512 KB |
Output is correct |
21 |
Correct |
1 ms |
512 KB |
Output is correct |
22 |
Correct |
1 ms |
512 KB |
Output is correct |
23 |
Correct |
1 ms |
512 KB |
Output is correct |
24 |
Correct |
2 ms |
512 KB |
Output is correct |
25 |
Correct |
2 ms |
512 KB |
Output is correct |
26 |
Correct |
2 ms |
512 KB |
Output is correct |
27 |
Correct |
1 ms |
512 KB |
Output is correct |
28 |
Correct |
2 ms |
512 KB |
Output is correct |
29 |
Correct |
1 ms |
512 KB |
Output is correct |
30 |
Correct |
1 ms |
512 KB |
Output is correct |
31 |
Correct |
1 ms |
512 KB |
Output is correct |
32 |
Correct |
1 ms |
512 KB |
Output is correct |
33 |
Correct |
1 ms |
512 KB |
Output is correct |
34 |
Correct |
320 ms |
42424 KB |
Output is correct |
35 |
Correct |
295 ms |
41940 KB |
Output is correct |
36 |
Correct |
276 ms |
41392 KB |
Output is correct |
37 |
Correct |
296 ms |
42160 KB |
Output is correct |
38 |
Correct |
280 ms |
42160 KB |
Output is correct |
39 |
Correct |
275 ms |
41392 KB |
Output is correct |
40 |
Correct |
305 ms |
44780 KB |
Output is correct |
41 |
Correct |
275 ms |
42416 KB |
Output is correct |
42 |
Correct |
290 ms |
43696 KB |
Output is correct |
43 |
Correct |
306 ms |
45292 KB |
Output is correct |
44 |
Correct |
332 ms |
45424 KB |
Output is correct |
45 |
Correct |
326 ms |
45204 KB |
Output is correct |
46 |
Correct |
295 ms |
45296 KB |
Output is correct |
47 |
Correct |
293 ms |
44400 KB |
Output is correct |
48 |
Correct |
319 ms |
44140 KB |
Output is correct |
49 |
Correct |
290 ms |
45080 KB |
Output is correct |
50 |
Correct |
322 ms |
44652 KB |
Output is correct |
51 |
Correct |
325 ms |
44524 KB |
Output is correct |
52 |
Correct |
191 ms |
33644 KB |
Output is correct |
53 |
Correct |
184 ms |
33648 KB |
Output is correct |
54 |
Correct |
169 ms |
33644 KB |
Output is correct |
55 |
Correct |
171 ms |
33260 KB |
Output is correct |
56 |
Correct |
298 ms |
45548 KB |
Output is correct |
57 |
Correct |
270 ms |
40300 KB |
Output is correct |
58 |
Correct |
263 ms |
40428 KB |
Output is correct |
59 |
Correct |
263 ms |
40556 KB |
Output is correct |
60 |
Correct |
260 ms |
38576 KB |
Output is correct |
61 |
Correct |
283 ms |
40940 KB |
Output is correct |
62 |
Correct |
291 ms |
40368 KB |
Output is correct |
63 |
Correct |
307 ms |
40940 KB |
Output is correct |
64 |
Correct |
259 ms |
39600 KB |
Output is correct |
65 |
Correct |
296 ms |
41072 KB |
Output is correct |