#include <bits/stdc++.h>
using namespace std;
#define ar array
#define sz(v) int(std::size(v))
using i64 = long long;
using range = ar<int, 2>;
const range unit{-1, -1};
range shift(const range one, int c) {
if (one == unit) return one;
return {one[0] + c, one[1] + c};
}
range operator+(const range one, const range two) {
if (one == unit) return two;
if (two == unit) return one;
return {min(one[0], two[0]), max(one[1], two[1])};
}
bool can(const range one, int x) {
return one[0] <= x && one[1] >= x;
}
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
int N;
cin >> N;
int A[N * 2 + 1], B[N * 2 + 1];
A[0] = B[0] = 0;
for (int i = 1; i <= N * 2; i++) cin >> A[i];
for (int i = 1; i <= N * 2; i++) cin >> B[i];
/*
auto solve = [&]() {
ar<int, 2> dp{1, 0};
for (int i = 1; i < N * 2; i++) {
ar<int, 2> ndp{-(N * 2), -(N * 2)};
if (A[i - 1] <= A[i]) ndp[0] = max(ndp[0], dp[0] + 1);
if (B[i - 1] <= A[i]) ndp[0] = max(ndp[0], dp[1] + 1);
if (A[i - 1] <= B[i]) ndp[1] = max(ndp[1], dp[0]);
if (B[i - 1] <= B[i]) ndp[1] = max(ndp[1], dp[1]);
dp = ndp;
}
return max(dp[0], dp[1]);
};
bool ok = 1;
ok &= solve() >= N;
swap(A, B);
ok &= solve() >= N;
cout << (ok ? "YES\n" : "NO\n");
*/
range f[N * 2 + 1][2];
f[0][0] = f[0][1] = {0, 0};
for (int i = 1; i <= N * 2; i++) {
f[i][0] = f[i][1] = unit;
if (A[i - 1] <= A[i]) f[i][0] = f[i][0] + shift(f[i - 1][0], 1);
if (B[i - 1] <= A[i]) f[i][0] = f[i][0] + shift(f[i - 1][1], 1);
if (A[i - 1] <= B[i]) f[i][1] = f[i][1] + f[i - 1][0];
if (B[i - 1] <= B[i]) f[i][1] = f[i][1] + f[i - 1][1];
}
for (int t : {0, 1}) if (can(f[N * 2][t], N)) {
string S;
int i = N * 2, c = N;
while (i > 0) {
S += char('A' + t);
c -= t ^ 1;
if (A[i - 1] <= (t ? B : A)[i] && can(f[i - 1][0], c)) {
t = 0;
i--;
} else if (B[i - 1] <= (t ? B : A)[i] && can(f[i - 1][1], c)) {
t = 1;
i--;
} else assert(false);
}
reverse(begin(S), end(S));
cout << S << '\n';
return 0;
}
cout << "-1\n";
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
456 KB |
Output is correct |
4 |
Correct |
0 ms |
344 KB |
Output is correct |
5 |
Correct |
1 ms |
604 KB |
Output is correct |
6 |
Correct |
1 ms |
604 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
604 KB |
Output is correct |
9 |
Correct |
1 ms |
604 KB |
Output is correct |
10 |
Correct |
1 ms |
348 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 |
2 ms |
604 KB |
Output is correct |
16 |
Correct |
1 ms |
604 KB |
Output is correct |
17 |
Correct |
1 ms |
604 KB |
Output is correct |
18 |
Correct |
1 ms |
604 KB |
Output is correct |
19 |
Correct |
1 ms |
556 KB |
Output is correct |
20 |
Correct |
1 ms |
348 KB |
Output is correct |
21 |
Correct |
1 ms |
348 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 |
600 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 |
348 KB |
Output is correct |
28 |
Correct |
1 ms |
348 KB |
Output is correct |
29 |
Correct |
1 ms |
600 KB |
Output is correct |
30 |
Correct |
1 ms |
344 KB |
Output is correct |
31 |
Correct |
1 ms |
600 KB |
Output is correct |
32 |
Correct |
1 ms |
348 KB |
Output is correct |
33 |
Correct |
2 ms |
604 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
456 KB |
Output is correct |
4 |
Correct |
0 ms |
344 KB |
Output is correct |
5 |
Correct |
1 ms |
604 KB |
Output is correct |
6 |
Correct |
1 ms |
604 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
604 KB |
Output is correct |
9 |
Correct |
1 ms |
604 KB |
Output is correct |
10 |
Correct |
1 ms |
348 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 |
2 ms |
604 KB |
Output is correct |
16 |
Correct |
1 ms |
604 KB |
Output is correct |
17 |
Correct |
1 ms |
604 KB |
Output is correct |
18 |
Correct |
1 ms |
604 KB |
Output is correct |
19 |
Correct |
1 ms |
556 KB |
Output is correct |
20 |
Correct |
1 ms |
348 KB |
Output is correct |
21 |
Correct |
1 ms |
348 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 |
600 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 |
348 KB |
Output is correct |
28 |
Correct |
1 ms |
348 KB |
Output is correct |
29 |
Correct |
1 ms |
600 KB |
Output is correct |
30 |
Correct |
1 ms |
344 KB |
Output is correct |
31 |
Correct |
1 ms |
600 KB |
Output is correct |
32 |
Correct |
1 ms |
348 KB |
Output is correct |
33 |
Correct |
2 ms |
604 KB |
Output is correct |
34 |
Correct |
169 ms |
42316 KB |
Output is correct |
35 |
Correct |
172 ms |
41916 KB |
Output is correct |
36 |
Correct |
169 ms |
41216 KB |
Output is correct |
37 |
Correct |
173 ms |
42068 KB |
Output is correct |
38 |
Correct |
169 ms |
42212 KB |
Output is correct |
39 |
Correct |
166 ms |
41348 KB |
Output is correct |
40 |
Correct |
193 ms |
44704 KB |
Output is correct |
41 |
Correct |
173 ms |
42384 KB |
Output is correct |
42 |
Correct |
180 ms |
43808 KB |
Output is correct |
43 |
Correct |
187 ms |
45268 KB |
Output is correct |
44 |
Correct |
197 ms |
45240 KB |
Output is correct |
45 |
Correct |
201 ms |
45372 KB |
Output is correct |
46 |
Correct |
188 ms |
45268 KB |
Output is correct |
47 |
Correct |
185 ms |
44336 KB |
Output is correct |
48 |
Correct |
172 ms |
44240 KB |
Output is correct |
49 |
Correct |
196 ms |
45032 KB |
Output is correct |
50 |
Correct |
197 ms |
44492 KB |
Output is correct |
51 |
Correct |
192 ms |
44804 KB |
Output is correct |
52 |
Correct |
139 ms |
33800 KB |
Output is correct |
53 |
Correct |
129 ms |
33608 KB |
Output is correct |
54 |
Correct |
128 ms |
33644 KB |
Output is correct |
55 |
Correct |
125 ms |
33352 KB |
Output is correct |
56 |
Correct |
176 ms |
45396 KB |
Output is correct |
57 |
Correct |
161 ms |
40268 KB |
Output is correct |
58 |
Correct |
162 ms |
40776 KB |
Output is correct |
59 |
Correct |
157 ms |
40524 KB |
Output is correct |
60 |
Correct |
151 ms |
38552 KB |
Output is correct |
61 |
Correct |
157 ms |
40888 KB |
Output is correct |
62 |
Correct |
193 ms |
40376 KB |
Output is correct |
63 |
Correct |
158 ms |
41332 KB |
Output is correct |
64 |
Correct |
148 ms |
39440 KB |
Output is correct |
65 |
Correct |
158 ms |
40884 KB |
Output is correct |