#include <bits/stdc++.h>
using namespace std;
const int INF = 0x3f3f3f3f;
#define all(x) x.begin(), x.end()
#define ms(x, a) memset(x, a, sizeof(x))
#define deb(...) logger(#__VA_ARGS__, __VA_ARGS__)
template<typename ...Args>
void logger(string vars, Args&&... values){
cout << vars << " = ";
string delim = "";
(...,(cout << delim << values, delim = ", "));
cout << endl;
}
//===========================================
const int MAX = 1e6+5;
int a[MAX], b[MAX], dp[2][2][MAX];
int main(){
cin.tie(0)->sync_with_stdio(0);
int n; 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++){
dp[0][0][i] = dp[1][0][i] = INF;
if (a[i] >= a[i-1]){
dp[0][0][i] = min(dp[0][0][i], dp[0][0][i-1]+1);
dp[0][1][i] = max(dp[0][1][i], dp[0][1][i-1]+1);
}
if (a[i] >= b[i-1]){
dp[0][0][i] = min(dp[0][0][i], dp[1][0][i-1]+1);
dp[0][1][i] = max(dp[0][1][i], dp[1][1][i-1]+1);
}
if (b[i] >= a[i-1]){
dp[1][0][i] = min(dp[1][0][i], dp[0][0][i-1]);
dp[1][1][i] = max(dp[1][1][i], dp[0][1][i-1]);
}
if (b[i] >= b[i-1]){
dp[1][0][i] = min(dp[1][0][i], dp[1][0][i-1]);
dp[1][1][i] = max(dp[1][1][i], dp[1][1][i-1]);
}
}
//deb(dp[0][0][n], dp[1][0][n], dp[0][1][n], dp[1][1][n]);
if ((dp[0][0][n] <= n/2 && n/2 <= dp[0][1][n]) ||
(dp[1][0][n] <= n/2 && n/2 <= dp[1][1][n])){
string res = "";
int c = (dp[1][0][n] <= n/2 && n/2 <= dp[1][1][n]);
int rem = n/2;
for (int i = n; i; i--){
res += (c? 'B' : 'A');
rem -= (!c);
if (!c){
if (a[i] >= a[i-1] && dp[0][0][i-1] <= rem && rem <= dp[0][1][i-1]){
c = 0;
} else c = 1;
} else {
if (b[i] >= a[i-1] && dp[0][0][i-1] <= rem && rem <= dp[0][1][i-1]){
c = 0;
} else c = 1;
}
}
assert(!rem);
reverse(all(res));
int curr = 0;
for (int i = 1; i <= n; i++){
int x = (res[i-1] == 'A'? a[i] : b[i]);
assert(x >= curr);
curr = x;
}
cout << res << "\n";
return 0;
}
cout << -1 << "\n";
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
328 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
468 KB |
Output is correct |
6 |
Correct |
2 ms |
468 KB |
Output is correct |
7 |
Correct |
1 ms |
468 KB |
Output is correct |
8 |
Correct |
1 ms |
468 KB |
Output is correct |
9 |
Correct |
2 ms |
468 KB |
Output is correct |
10 |
Correct |
1 ms |
468 KB |
Output is correct |
11 |
Correct |
2 ms |
472 KB |
Output is correct |
12 |
Correct |
2 ms |
468 KB |
Output is correct |
13 |
Correct |
2 ms |
472 KB |
Output is correct |
14 |
Correct |
2 ms |
472 KB |
Output is correct |
15 |
Correct |
1 ms |
468 KB |
Output is correct |
16 |
Correct |
2 ms |
476 KB |
Output is correct |
17 |
Correct |
1 ms |
468 KB |
Output is correct |
18 |
Correct |
1 ms |
472 KB |
Output is correct |
19 |
Correct |
2 ms |
468 KB |
Output is correct |
20 |
Correct |
1 ms |
468 KB |
Output is correct |
21 |
Correct |
1 ms |
468 KB |
Output is correct |
22 |
Correct |
1 ms |
508 KB |
Output is correct |
23 |
Correct |
1 ms |
504 KB |
Output is correct |
24 |
Correct |
1 ms |
468 KB |
Output is correct |
25 |
Correct |
1 ms |
468 KB |
Output is correct |
26 |
Correct |
1 ms |
468 KB |
Output is correct |
27 |
Correct |
1 ms |
468 KB |
Output is correct |
28 |
Correct |
1 ms |
468 KB |
Output is correct |
29 |
Correct |
1 ms |
416 KB |
Output is correct |
30 |
Correct |
1 ms |
468 KB |
Output is correct |
31 |
Correct |
1 ms |
468 KB |
Output is correct |
32 |
Correct |
1 ms |
380 KB |
Output is correct |
33 |
Correct |
1 ms |
468 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
328 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
468 KB |
Output is correct |
6 |
Correct |
2 ms |
468 KB |
Output is correct |
7 |
Correct |
1 ms |
468 KB |
Output is correct |
8 |
Correct |
1 ms |
468 KB |
Output is correct |
9 |
Correct |
2 ms |
468 KB |
Output is correct |
10 |
Correct |
1 ms |
468 KB |
Output is correct |
11 |
Correct |
2 ms |
472 KB |
Output is correct |
12 |
Correct |
2 ms |
468 KB |
Output is correct |
13 |
Correct |
2 ms |
472 KB |
Output is correct |
14 |
Correct |
2 ms |
472 KB |
Output is correct |
15 |
Correct |
1 ms |
468 KB |
Output is correct |
16 |
Correct |
2 ms |
476 KB |
Output is correct |
17 |
Correct |
1 ms |
468 KB |
Output is correct |
18 |
Correct |
1 ms |
472 KB |
Output is correct |
19 |
Correct |
2 ms |
468 KB |
Output is correct |
20 |
Correct |
1 ms |
468 KB |
Output is correct |
21 |
Correct |
1 ms |
468 KB |
Output is correct |
22 |
Correct |
1 ms |
508 KB |
Output is correct |
23 |
Correct |
1 ms |
504 KB |
Output is correct |
24 |
Correct |
1 ms |
468 KB |
Output is correct |
25 |
Correct |
1 ms |
468 KB |
Output is correct |
26 |
Correct |
1 ms |
468 KB |
Output is correct |
27 |
Correct |
1 ms |
468 KB |
Output is correct |
28 |
Correct |
1 ms |
468 KB |
Output is correct |
29 |
Correct |
1 ms |
416 KB |
Output is correct |
30 |
Correct |
1 ms |
468 KB |
Output is correct |
31 |
Correct |
1 ms |
468 KB |
Output is correct |
32 |
Correct |
1 ms |
380 KB |
Output is correct |
33 |
Correct |
1 ms |
468 KB |
Output is correct |
34 |
Correct |
208 ms |
42444 KB |
Output is correct |
35 |
Correct |
209 ms |
41976 KB |
Output is correct |
36 |
Correct |
213 ms |
41344 KB |
Output is correct |
37 |
Correct |
202 ms |
42088 KB |
Output is correct |
38 |
Correct |
193 ms |
42136 KB |
Output is correct |
39 |
Correct |
207 ms |
41316 KB |
Output is correct |
40 |
Correct |
240 ms |
44724 KB |
Output is correct |
41 |
Correct |
199 ms |
42368 KB |
Output is correct |
42 |
Correct |
214 ms |
43668 KB |
Output is correct |
43 |
Correct |
229 ms |
45184 KB |
Output is correct |
44 |
Correct |
222 ms |
45120 KB |
Output is correct |
45 |
Correct |
239 ms |
45188 KB |
Output is correct |
46 |
Correct |
224 ms |
45332 KB |
Output is correct |
47 |
Correct |
203 ms |
44220 KB |
Output is correct |
48 |
Correct |
208 ms |
44084 KB |
Output is correct |
49 |
Correct |
215 ms |
44948 KB |
Output is correct |
50 |
Correct |
234 ms |
44380 KB |
Output is correct |
51 |
Correct |
230 ms |
44312 KB |
Output is correct |
52 |
Correct |
151 ms |
33448 KB |
Output is correct |
53 |
Correct |
157 ms |
33436 KB |
Output is correct |
54 |
Correct |
137 ms |
33448 KB |
Output is correct |
55 |
Correct |
138 ms |
33184 KB |
Output is correct |
56 |
Correct |
229 ms |
45396 KB |
Output is correct |
57 |
Correct |
182 ms |
40244 KB |
Output is correct |
58 |
Correct |
182 ms |
40476 KB |
Output is correct |
59 |
Correct |
189 ms |
40336 KB |
Output is correct |
60 |
Correct |
176 ms |
38436 KB |
Output is correct |
61 |
Correct |
222 ms |
40892 KB |
Output is correct |
62 |
Correct |
186 ms |
40388 KB |
Output is correct |
63 |
Correct |
189 ms |
40852 KB |
Output is correct |
64 |
Correct |
180 ms |
39404 KB |
Output is correct |
65 |
Correct |
201 ms |
40936 KB |
Output is correct |