#include <bits/stdc++.h>
#define N 500005
#define ff first
#define ss second
#define ll long long
const ll MAXN = 1e9;
using namespace std;
int n, a[2 * N], b[2 * N];
pair<int, int> dp[2 * N][2];
char x[2 * N];
int main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
cin >> n;
for(int i = 1; i <= 2 * n; i++){
cin >> a[i];
}
for(int i = 1; i <= 2 * n; i++){
cin >> b[i];
}
dp[1][1] = {1, 1};
dp[1][0] = {0, 0};
for(int i = 2; i <= 2 * n; i++){
dp[i][1] = {1e9, -1};
dp[i][0] = {1e9, -1};
if(a[i] >= a[i - 1]){
dp[i][1].ff = min(dp[i][1].ff, dp[i - 1][1].ff + 1);
dp[i][1].ss = max(dp[i][1].ss, dp[i - 1][1].ss + 1);
}
if(a[i] >= b[i - 1]){
dp[i][1].ff = min(dp[i][1].ff, dp[i - 1][0].ff + 1);
dp[i][1].ss = max(dp[i][1].ss, dp[i - 1][0].ss + 1);
}
if(b[i] >= a[i - 1]){
dp[i][0].ff = min(dp[i][0].ff, dp[i - 1][1].ff);
dp[i][0].ss = max(dp[i][0].ss, dp[i - 1][1].ss);
}
if(b[i] >= b[i - 1]){
dp[i][0].ff = min(dp[i][0].ff, dp[i - 1][0].ff);
dp[i][0].ss = max(dp[i][0].ss, dp[i - 1][0].ss);
}
}
// for(int i = 1; i <= 2 * n; i++){
// cout << dp[i][1].ff << ' ' << dp[i][1].ss << '\n';
// cout << dp[i][0].ff << ' ' << dp[i][0].ss << '\n';
// }
if(dp[2 * n][0].ff <= n && n <= dp[2 * n][0].ss || dp[2 * n][1].ff <= n && n <= dp[2 * n][1].ss){
int lol = n;
deque<char> ans;
for(int i = 2 * n; i >= 1; i--){
if(dp[i][1].ff <= lol && lol <= dp[i][1].ss){
if(ans.size() > 0){
if(ans.front() == 'A'){
if(a[i] > a[i + 1]){
ans.push_front('B');
continue;
}
}
else{
if(a[i] > b[i + 1]){
ans.push_front('B');
continue;
}
}
}
ans.push_front('A');
lol--;
}
else{
ans.push_front('B');
}
}
for(char x : ans) cout << x;
}
else cout << -1;
}
Compilation message
building4.cpp: In function 'int main()':
building4.cpp:53:29: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
53 | if(dp[2 * n][0].ff <= n && n <= dp[2 * n][0].ss || dp[2 * n][1].ff <= n && n <= dp[2 * n][1].ss){
| ^
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
328 KB |
Output is correct |
5 |
Correct |
2 ms |
468 KB |
Output is correct |
6 |
Correct |
2 ms |
468 KB |
Output is correct |
7 |
Correct |
2 ms |
468 KB |
Output is correct |
8 |
Correct |
1 ms |
412 KB |
Output is correct |
9 |
Correct |
2 ms |
412 KB |
Output is correct |
10 |
Correct |
1 ms |
468 KB |
Output is correct |
11 |
Correct |
2 ms |
468 KB |
Output is correct |
12 |
Correct |
2 ms |
468 KB |
Output is correct |
13 |
Correct |
2 ms |
464 KB |
Output is correct |
14 |
Correct |
2 ms |
468 KB |
Output is correct |
15 |
Correct |
3 ms |
472 KB |
Output is correct |
16 |
Correct |
2 ms |
468 KB |
Output is correct |
17 |
Correct |
2 ms |
468 KB |
Output is correct |
18 |
Correct |
2 ms |
472 KB |
Output is correct |
19 |
Correct |
3 ms |
472 KB |
Output is correct |
20 |
Correct |
2 ms |
472 KB |
Output is correct |
21 |
Correct |
1 ms |
472 KB |
Output is correct |
22 |
Correct |
2 ms |
468 KB |
Output is correct |
23 |
Correct |
2 ms |
356 KB |
Output is correct |
24 |
Correct |
2 ms |
464 KB |
Output is correct |
25 |
Correct |
1 ms |
468 KB |
Output is correct |
26 |
Correct |
2 ms |
468 KB |
Output is correct |
27 |
Correct |
2 ms |
468 KB |
Output is correct |
28 |
Correct |
2 ms |
468 KB |
Output is correct |
29 |
Correct |
2 ms |
468 KB |
Output is correct |
30 |
Correct |
2 ms |
468 KB |
Output is correct |
31 |
Correct |
1 ms |
468 KB |
Output is correct |
32 |
Correct |
1 ms |
468 KB |
Output is correct |
33 |
Correct |
1 ms |
468 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
328 KB |
Output is correct |
5 |
Correct |
2 ms |
468 KB |
Output is correct |
6 |
Correct |
2 ms |
468 KB |
Output is correct |
7 |
Correct |
2 ms |
468 KB |
Output is correct |
8 |
Correct |
1 ms |
412 KB |
Output is correct |
9 |
Correct |
2 ms |
412 KB |
Output is correct |
10 |
Correct |
1 ms |
468 KB |
Output is correct |
11 |
Correct |
2 ms |
468 KB |
Output is correct |
12 |
Correct |
2 ms |
468 KB |
Output is correct |
13 |
Correct |
2 ms |
464 KB |
Output is correct |
14 |
Correct |
2 ms |
468 KB |
Output is correct |
15 |
Correct |
3 ms |
472 KB |
Output is correct |
16 |
Correct |
2 ms |
468 KB |
Output is correct |
17 |
Correct |
2 ms |
468 KB |
Output is correct |
18 |
Correct |
2 ms |
472 KB |
Output is correct |
19 |
Correct |
3 ms |
472 KB |
Output is correct |
20 |
Correct |
2 ms |
472 KB |
Output is correct |
21 |
Correct |
1 ms |
472 KB |
Output is correct |
22 |
Correct |
2 ms |
468 KB |
Output is correct |
23 |
Correct |
2 ms |
356 KB |
Output is correct |
24 |
Correct |
2 ms |
464 KB |
Output is correct |
25 |
Correct |
1 ms |
468 KB |
Output is correct |
26 |
Correct |
2 ms |
468 KB |
Output is correct |
27 |
Correct |
2 ms |
468 KB |
Output is correct |
28 |
Correct |
2 ms |
468 KB |
Output is correct |
29 |
Correct |
2 ms |
468 KB |
Output is correct |
30 |
Correct |
2 ms |
468 KB |
Output is correct |
31 |
Correct |
1 ms |
468 KB |
Output is correct |
32 |
Correct |
1 ms |
468 KB |
Output is correct |
33 |
Correct |
1 ms |
468 KB |
Output is correct |
34 |
Correct |
245 ms |
24672 KB |
Output is correct |
35 |
Correct |
255 ms |
25152 KB |
Output is correct |
36 |
Correct |
265 ms |
24980 KB |
Output is correct |
37 |
Correct |
256 ms |
25244 KB |
Output is correct |
38 |
Correct |
244 ms |
25296 KB |
Output is correct |
39 |
Correct |
245 ms |
28156 KB |
Output is correct |
40 |
Correct |
266 ms |
26988 KB |
Output is correct |
41 |
Correct |
232 ms |
25740 KB |
Output is correct |
42 |
Correct |
246 ms |
26296 KB |
Output is correct |
43 |
Correct |
270 ms |
27124 KB |
Output is correct |
44 |
Correct |
282 ms |
27116 KB |
Output is correct |
45 |
Correct |
266 ms |
27172 KB |
Output is correct |
46 |
Correct |
243 ms |
27100 KB |
Output is correct |
47 |
Correct |
255 ms |
27228 KB |
Output is correct |
48 |
Correct |
256 ms |
26988 KB |
Output is correct |
49 |
Correct |
264 ms |
27140 KB |
Output is correct |
50 |
Correct |
267 ms |
27240 KB |
Output is correct |
51 |
Correct |
271 ms |
27048 KB |
Output is correct |
52 |
Correct |
175 ms |
28744 KB |
Output is correct |
53 |
Correct |
170 ms |
28688 KB |
Output is correct |
54 |
Correct |
173 ms |
28680 KB |
Output is correct |
55 |
Correct |
181 ms |
28668 KB |
Output is correct |
56 |
Correct |
250 ms |
27240 KB |
Output is correct |
57 |
Correct |
237 ms |
28864 KB |
Output is correct |
58 |
Correct |
233 ms |
29032 KB |
Output is correct |
59 |
Correct |
209 ms |
29100 KB |
Output is correct |
60 |
Correct |
221 ms |
27440 KB |
Output is correct |
61 |
Correct |
271 ms |
29172 KB |
Output is correct |
62 |
Correct |
234 ms |
28820 KB |
Output is correct |
63 |
Correct |
229 ms |
29072 KB |
Output is correct |
64 |
Correct |
221 ms |
28140 KB |
Output is correct |
65 |
Correct |
242 ms |
28892 KB |
Output is correct |