#include <bits/stdc++.h>
#define pb push_back
#define ll long long
#define s second
#define f first
using namespace std;
const int N = 1000005;
int a[N],b[N];
pair<int,int> dp[4][N];
main (){
ios_base::sync_with_stdio(0),cin.tie(NULL),cout.tie(NULL);
int n;
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][i] = {2e9,0};
dp[2][i] = {2e9,0};
}
dp[1][1] = {1,1};
dp[2][1] = {0,0};
for (int i=1;i<=2*n;i++){
if (a[i] >= a[i - 1]) dp[1][i] = {min(dp[1][i].f,dp[1][i-1].f + 1),max(dp[1][i].s,dp[1][i-1].s + 1)};
if (a[i] >= b[i - 1]) dp[1][i] = {min(dp[1][i].f,dp[2][i-1].f + 1),max(dp[1][i].s,dp[2][i-1].s + 1)};
if (b[i] >= a[i - 1]) dp[2][i] = {min(dp[2][i].f,dp[1][i-1].f),max(dp[2][i].s,dp[1][i-1].s)};
if (b[i] >= b[i - 1]) dp[2][i] = {min(dp[2][i].f,dp[2][i-1].f),max(dp[2][i].s,dp[2][i-1].s)};
}
int c=0;
if (dp[1][2*n].f <= n && dp[1][2*n].s >= n) c=1;
if (dp[2][2*n].f <= n && dp[2][2*n].s >= n) c=1;
if (!c) {cout<<-1; return 0;}
string s = "";
int cnta = n,l=1e9;
for (int i=2*n;i>=1;i--){
if (a[i] <= l && dp[1][i].f <= cnta && dp[1][i].s >= cnta) cnta--,l=a[i],s+='A';
else l = b[i],s+='B';
}
reverse(s.begin(),s.end());
cout<<s;
}
Compilation message
building4.cpp:10:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
10 | main (){
| ^~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
2 ms |
332 KB |
Output is correct |
6 |
Correct |
2 ms |
332 KB |
Output is correct |
7 |
Correct |
2 ms |
332 KB |
Output is correct |
8 |
Correct |
2 ms |
332 KB |
Output is correct |
9 |
Correct |
3 ms |
332 KB |
Output is correct |
10 |
Correct |
2 ms |
332 KB |
Output is correct |
11 |
Correct |
2 ms |
332 KB |
Output is correct |
12 |
Correct |
2 ms |
460 KB |
Output is correct |
13 |
Correct |
2 ms |
460 KB |
Output is correct |
14 |
Correct |
2 ms |
460 KB |
Output is correct |
15 |
Correct |
2 ms |
392 KB |
Output is correct |
16 |
Correct |
2 ms |
332 KB |
Output is correct |
17 |
Correct |
2 ms |
460 KB |
Output is correct |
18 |
Correct |
2 ms |
460 KB |
Output is correct |
19 |
Correct |
2 ms |
460 KB |
Output is correct |
20 |
Correct |
2 ms |
460 KB |
Output is correct |
21 |
Correct |
2 ms |
460 KB |
Output is correct |
22 |
Correct |
2 ms |
460 KB |
Output is correct |
23 |
Correct |
2 ms |
460 KB |
Output is correct |
24 |
Correct |
2 ms |
460 KB |
Output is correct |
25 |
Correct |
2 ms |
460 KB |
Output is correct |
26 |
Correct |
2 ms |
460 KB |
Output is correct |
27 |
Correct |
2 ms |
460 KB |
Output is correct |
28 |
Correct |
2 ms |
332 KB |
Output is correct |
29 |
Correct |
2 ms |
460 KB |
Output is correct |
30 |
Correct |
2 ms |
332 KB |
Output is correct |
31 |
Correct |
2 ms |
460 KB |
Output is correct |
32 |
Correct |
2 ms |
332 KB |
Output is correct |
33 |
Correct |
2 ms |
460 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
2 ms |
332 KB |
Output is correct |
6 |
Correct |
2 ms |
332 KB |
Output is correct |
7 |
Correct |
2 ms |
332 KB |
Output is correct |
8 |
Correct |
2 ms |
332 KB |
Output is correct |
9 |
Correct |
3 ms |
332 KB |
Output is correct |
10 |
Correct |
2 ms |
332 KB |
Output is correct |
11 |
Correct |
2 ms |
332 KB |
Output is correct |
12 |
Correct |
2 ms |
460 KB |
Output is correct |
13 |
Correct |
2 ms |
460 KB |
Output is correct |
14 |
Correct |
2 ms |
460 KB |
Output is correct |
15 |
Correct |
2 ms |
392 KB |
Output is correct |
16 |
Correct |
2 ms |
332 KB |
Output is correct |
17 |
Correct |
2 ms |
460 KB |
Output is correct |
18 |
Correct |
2 ms |
460 KB |
Output is correct |
19 |
Correct |
2 ms |
460 KB |
Output is correct |
20 |
Correct |
2 ms |
460 KB |
Output is correct |
21 |
Correct |
2 ms |
460 KB |
Output is correct |
22 |
Correct |
2 ms |
460 KB |
Output is correct |
23 |
Correct |
2 ms |
460 KB |
Output is correct |
24 |
Correct |
2 ms |
460 KB |
Output is correct |
25 |
Correct |
2 ms |
460 KB |
Output is correct |
26 |
Correct |
2 ms |
460 KB |
Output is correct |
27 |
Correct |
2 ms |
460 KB |
Output is correct |
28 |
Correct |
2 ms |
332 KB |
Output is correct |
29 |
Correct |
2 ms |
460 KB |
Output is correct |
30 |
Correct |
2 ms |
332 KB |
Output is correct |
31 |
Correct |
2 ms |
460 KB |
Output is correct |
32 |
Correct |
2 ms |
332 KB |
Output is correct |
33 |
Correct |
2 ms |
460 KB |
Output is correct |
34 |
Correct |
267 ms |
24448 KB |
Output is correct |
35 |
Correct |
299 ms |
25420 KB |
Output is correct |
36 |
Correct |
261 ms |
28248 KB |
Output is correct |
37 |
Correct |
273 ms |
25492 KB |
Output is correct |
38 |
Correct |
287 ms |
25416 KB |
Output is correct |
39 |
Correct |
270 ms |
41412 KB |
Output is correct |
40 |
Correct |
317 ms |
27740 KB |
Output is correct |
41 |
Correct |
262 ms |
35532 KB |
Output is correct |
42 |
Correct |
316 ms |
28184 KB |
Output is correct |
43 |
Correct |
312 ms |
27148 KB |
Output is correct |
44 |
Correct |
294 ms |
27200 KB |
Output is correct |
45 |
Correct |
313 ms |
27920 KB |
Output is correct |
46 |
Correct |
264 ms |
27288 KB |
Output is correct |
47 |
Correct |
274 ms |
27160 KB |
Output is correct |
48 |
Correct |
266 ms |
33468 KB |
Output is correct |
49 |
Correct |
280 ms |
27180 KB |
Output is correct |
50 |
Correct |
281 ms |
27196 KB |
Output is correct |
51 |
Correct |
295 ms |
27996 KB |
Output is correct |
52 |
Correct |
253 ms |
33524 KB |
Output is correct |
53 |
Correct |
208 ms |
33572 KB |
Output is correct |
54 |
Correct |
210 ms |
33504 KB |
Output is correct |
55 |
Correct |
199 ms |
33236 KB |
Output is correct |
56 |
Correct |
286 ms |
27828 KB |
Output is correct |
57 |
Correct |
257 ms |
40216 KB |
Output is correct |
58 |
Correct |
249 ms |
40452 KB |
Output is correct |
59 |
Correct |
248 ms |
40500 KB |
Output is correct |
60 |
Correct |
231 ms |
38420 KB |
Output is correct |
61 |
Correct |
292 ms |
40940 KB |
Output is correct |
62 |
Correct |
242 ms |
40368 KB |
Output is correct |
63 |
Correct |
262 ms |
40872 KB |
Output is correct |
64 |
Correct |
235 ms |
39424 KB |
Output is correct |
65 |
Correct |
255 ms |
40940 KB |
Output is correct |