#include <bits/stdc++.h>
using namespace std;
#define int long long
#define f first
#define s second
const int N = 1e6 + 69;
const int inf = 1e9;
int n, a[N], b[N];
int mna1[N], mxa1[N], mna2[N], mxa2[N];
int mnb1[N], mxb1[N], mnb2[N], mxb2[N];
signed main() {
ios::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
int tt = 1;
//cin >> tt;
while (tt--) {
cin >> n;
n *= 2;
for (int i = 1;i <= n;i++)
cin >> a[i];
for (int i = 1;i <= n;i++)
cin >> b[i];
for (int i = 1;i <= n;i++) {
mna1[i] = mna2[i] = mnb1[i] = mnb2[i] = inf;
mxa1[i] = mxa2[i] = mxb1[i] = mxb2[i] = -inf;
}
mna1[1] = mxa1[1] = mnb2[1] = mxb2[1] = 1;
mna2[1] = mxa2[1] = mnb1[1] = mxb1[1] = 0;
for (int i = 2;i <= n;i++) {
if (a[i] >= a[i - 1]) {
mxa1[i] = max(mxa1[i], mxa1[i - 1] + 1);
mna1[i] = min(mna1[i], mna1[i - 1] + 1);
mxb1[i] = max(mxb1[i], mxb1[i - 1]);
mnb1[i] = min(mnb1[i], mnb1[i - 1]);
}
if (a[i] >= b[i - 1]) {
mxa1[i] = max(mxa1[i], mxa2[i - 1] + 1);
mna1[i] = min(mna1[i], mna2[i - 1] + 1);
mxb1[i] = max(mxb1[i], mxb2[i - 1]);
mnb1[i] = min(mnb1[i], mnb2[i - 1]);
}
if (b[i] >= a[i - 1]) {
mxa2[i] = max(mxa2[i], mxa1[i - 1]);
mna2[i] = min(mna2[i], mna1[i - 1]);
mxb2[i] = max(mxb2[i], mxb1[i - 1] + 1);
mnb2[i] = min(mnb2[i], mnb1[i - 1] + 1);
}
if (b[i] >= b[i - 1]) {
mxa2[i] = max(mxa2[i], mxa2[i - 1]);
mna2[i] = min(mna2[i], mna2[i - 1]);
mxb2[i] = max(mxb2[i], mxb2[i - 1] + 1);
mnb2[i] = min(mnb2[i], mnb2[i - 1] + 1);
}
}
if (((mna1[n] > n / 2 || mxa1[n] < n / 2) && (mnb1[n] > n / 2 || mxb1[n] < n / 2)) && ((mna2[n] > n / 2 || mxa2[n] < n / 2) && (mnb2[n] > n / 2 || mxb2[n] < n / 2)))
cout << "-1";
else {
string ans;
int x = n / 2, y = n / 2, lst = inf;
for (int i = n;i >= 1;i--) {
if (mna1[i] <= x && mxa1[i] >= x && a[i] <= lst) {
ans += 'A';
x--;
lst = a[i];
}
else if (mnb2[i] <= y && mxb2[i] >= y && b[i] <= lst) {
ans += 'B';
y--;
lst = b[i];
}
}
reverse(ans.begin(), ans.end());
cout << ans;
}
}
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
18776 KB |
Output is correct |
2 |
Correct |
5 ms |
18780 KB |
Output is correct |
3 |
Correct |
3 ms |
18776 KB |
Output is correct |
4 |
Correct |
3 ms |
18776 KB |
Output is correct |
5 |
Correct |
4 ms |
18776 KB |
Output is correct |
6 |
Correct |
4 ms |
18780 KB |
Output is correct |
7 |
Correct |
4 ms |
18776 KB |
Output is correct |
8 |
Correct |
3 ms |
18780 KB |
Output is correct |
9 |
Correct |
3 ms |
18776 KB |
Output is correct |
10 |
Correct |
4 ms |
19032 KB |
Output is correct |
11 |
Correct |
4 ms |
20828 KB |
Output is correct |
12 |
Correct |
4 ms |
20824 KB |
Output is correct |
13 |
Correct |
4 ms |
20824 KB |
Output is correct |
14 |
Correct |
4 ms |
20824 KB |
Output is correct |
15 |
Correct |
4 ms |
20828 KB |
Output is correct |
16 |
Correct |
4 ms |
20824 KB |
Output is correct |
17 |
Correct |
5 ms |
20824 KB |
Output is correct |
18 |
Correct |
4 ms |
20828 KB |
Output is correct |
19 |
Correct |
4 ms |
20824 KB |
Output is correct |
20 |
Correct |
4 ms |
20824 KB |
Output is correct |
21 |
Correct |
4 ms |
20824 KB |
Output is correct |
22 |
Correct |
3 ms |
20824 KB |
Output is correct |
23 |
Correct |
4 ms |
20824 KB |
Output is correct |
24 |
Correct |
4 ms |
20824 KB |
Output is correct |
25 |
Correct |
4 ms |
20828 KB |
Output is correct |
26 |
Correct |
4 ms |
20828 KB |
Output is correct |
27 |
Correct |
4 ms |
20824 KB |
Output is correct |
28 |
Correct |
3 ms |
18776 KB |
Output is correct |
29 |
Correct |
3 ms |
20828 KB |
Output is correct |
30 |
Correct |
3 ms |
18780 KB |
Output is correct |
31 |
Correct |
3 ms |
20824 KB |
Output is correct |
32 |
Correct |
3 ms |
18776 KB |
Output is correct |
33 |
Correct |
4 ms |
20828 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
18776 KB |
Output is correct |
2 |
Correct |
5 ms |
18780 KB |
Output is correct |
3 |
Correct |
3 ms |
18776 KB |
Output is correct |
4 |
Correct |
3 ms |
18776 KB |
Output is correct |
5 |
Correct |
4 ms |
18776 KB |
Output is correct |
6 |
Correct |
4 ms |
18780 KB |
Output is correct |
7 |
Correct |
4 ms |
18776 KB |
Output is correct |
8 |
Correct |
3 ms |
18780 KB |
Output is correct |
9 |
Correct |
3 ms |
18776 KB |
Output is correct |
10 |
Correct |
4 ms |
19032 KB |
Output is correct |
11 |
Correct |
4 ms |
20828 KB |
Output is correct |
12 |
Correct |
4 ms |
20824 KB |
Output is correct |
13 |
Correct |
4 ms |
20824 KB |
Output is correct |
14 |
Correct |
4 ms |
20824 KB |
Output is correct |
15 |
Correct |
4 ms |
20828 KB |
Output is correct |
16 |
Correct |
4 ms |
20824 KB |
Output is correct |
17 |
Correct |
5 ms |
20824 KB |
Output is correct |
18 |
Correct |
4 ms |
20828 KB |
Output is correct |
19 |
Correct |
4 ms |
20824 KB |
Output is correct |
20 |
Correct |
4 ms |
20824 KB |
Output is correct |
21 |
Correct |
4 ms |
20824 KB |
Output is correct |
22 |
Correct |
3 ms |
20824 KB |
Output is correct |
23 |
Correct |
4 ms |
20824 KB |
Output is correct |
24 |
Correct |
4 ms |
20824 KB |
Output is correct |
25 |
Correct |
4 ms |
20828 KB |
Output is correct |
26 |
Correct |
4 ms |
20828 KB |
Output is correct |
27 |
Correct |
4 ms |
20824 KB |
Output is correct |
28 |
Correct |
3 ms |
18776 KB |
Output is correct |
29 |
Correct |
3 ms |
20828 KB |
Output is correct |
30 |
Correct |
3 ms |
18780 KB |
Output is correct |
31 |
Correct |
3 ms |
20824 KB |
Output is correct |
32 |
Correct |
3 ms |
18776 KB |
Output is correct |
33 |
Correct |
4 ms |
20828 KB |
Output is correct |
34 |
Correct |
176 ms |
92624 KB |
Output is correct |
35 |
Correct |
171 ms |
98468 KB |
Output is correct |
36 |
Correct |
174 ms |
97980 KB |
Output is correct |
37 |
Correct |
185 ms |
98492 KB |
Output is correct |
38 |
Correct |
167 ms |
98596 KB |
Output is correct |
39 |
Correct |
163 ms |
97576 KB |
Output is correct |
40 |
Correct |
177 ms |
99656 KB |
Output is correct |
41 |
Correct |
168 ms |
98316 KB |
Output is correct |
42 |
Correct |
193 ms |
99228 KB |
Output is correct |
43 |
Correct |
195 ms |
100168 KB |
Output is correct |
44 |
Correct |
191 ms |
100152 KB |
Output is correct |
45 |
Correct |
188 ms |
100168 KB |
Output is correct |
46 |
Correct |
190 ms |
100176 KB |
Output is correct |
47 |
Correct |
186 ms |
99096 KB |
Output is correct |
48 |
Correct |
182 ms |
99036 KB |
Output is correct |
49 |
Correct |
193 ms |
99912 KB |
Output is correct |
50 |
Correct |
189 ms |
99300 KB |
Output is correct |
51 |
Correct |
197 ms |
99144 KB |
Output is correct |
52 |
Correct |
140 ms |
88372 KB |
Output is correct |
53 |
Correct |
132 ms |
88392 KB |
Output is correct |
54 |
Correct |
126 ms |
88392 KB |
Output is correct |
55 |
Correct |
123 ms |
88136 KB |
Output is correct |
56 |
Correct |
178 ms |
100428 KB |
Output is correct |
57 |
Correct |
150 ms |
95296 KB |
Output is correct |
58 |
Correct |
163 ms |
95420 KB |
Output is correct |
59 |
Correct |
158 ms |
95304 KB |
Output is correct |
60 |
Correct |
154 ms |
94476 KB |
Output is correct |
61 |
Correct |
160 ms |
95828 KB |
Output is correct |
62 |
Correct |
162 ms |
95336 KB |
Output is correct |
63 |
Correct |
167 ms |
95928 KB |
Output is correct |
64 |
Correct |
157 ms |
95140 KB |
Output is correct |
65 |
Correct |
155 ms |
95676 KB |
Output is correct |