#include <bits/stdc++.h>
using namespace std;
#define fi first
#define se second
#define mp make_pair
#define pb push_back
#define all(x) (x).begin(), (x).end()
#define MOD 1000000007
typedef long long ll;
typedef pair <int, int> ii;
typedef pair <ll, ll> pll;
typedef vector<int> vi;
typedef vector<ll> vll;
typedef long double ld;
ll INF=LLONG_MAX;
int const mxn = 1e6+5;
int dp[mxn][2][2]; //pos, cur, min/max = cnt of b;
int a[mxn],b[mxn];
void mins(int &a, int b){
a = min(a,b);
return;
}
void maxs(int &a, int b){
a = max(a,b);
return;
}
int main()
{
ios_base::sync_with_stdio(0); cin.tie(0);
//freopen("input.txt","r",stdin); freopen("output.txt","w",stdout);
int n; cin >> n;
memset(dp,-1,sizeof(dp));
for(int i=1; i<=n*2; i++)cin >> a[i];
for(int i=1; i<=n*2; i++)cin >> b[i];
dp[1][0][0] = dp[1][0][1] = 0;
dp[1][1][0] = dp[1][1][1] = 1;
for(int i=2; i<=n*2; i++){
dp[i][0][0]=dp[i][1][0] = mxn;
dp[i][0][1]=dp[i][1][1] = -1;
if(a[i]>=a[i-1]){
mins(dp[i][0][0],dp[i-1][0][0]);
maxs(dp[i][0][1],dp[i-1][0][1]);
}
if(a[i]>=b[i-1]){
mins(dp[i][0][0],dp[i-1][1][0]);
maxs(dp[i][0][1],dp[i-1][1][1]);
}
if(b[i]>=a[i-1]){
mins(dp[i][1][0],dp[i-1][0][0]+1);
maxs(dp[i][1][1],dp[i-1][0][1]+1);
}
if(b[i]>=b[i-1]){
mins(dp[i][1][0],dp[i-1][1][0]+1);
maxs(dp[i][1][1],dp[i-1][1][1]+1);
}
}
bool cur=0; int cnt=n;
if(dp[n*2][0][0]<=n&&n<=dp[n*2][0][1])cur = 0;
else if(dp[n*2][1][0]<=n&&n<=dp[n*2][1][1])cur = 1;
else{
cout << -1 << endl;
return 0;
}
//start backtracking
string s="";
for(int i=n*2; i>=1; i--){
if(!cur){
s+='A';
if(a[i-1]<=a[i]&&dp[i-1][0][0]<=cnt&&cnt<=dp[i-1][0][1])cur = 0;
if(b[i-1]<=a[i]&&dp[i-1][1][0]<=cnt&&cnt<=dp[i-1][1][1])cur = 1;
}else{
s+='B';
cnt--;
if(a[i-1]<=b[i]&&dp[i-1][0][0]<=cnt&&cnt<=dp[i-1][0][1])cur = 0;
if(b[i-1]<=b[i]&&dp[i-1][1][0]<=cnt&&cnt<=dp[i-1][1][1])cur = 1;
}
}
reverse(all(s));
cout << s << endl;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
13 ms |
16000 KB |
Output is correct |
2 |
Correct |
12 ms |
16000 KB |
Output is correct |
3 |
Correct |
13 ms |
15872 KB |
Output is correct |
4 |
Correct |
13 ms |
16000 KB |
Output is correct |
5 |
Correct |
14 ms |
16256 KB |
Output is correct |
6 |
Correct |
13 ms |
16128 KB |
Output is correct |
7 |
Correct |
14 ms |
16128 KB |
Output is correct |
8 |
Correct |
14 ms |
16128 KB |
Output is correct |
9 |
Correct |
14 ms |
16128 KB |
Output is correct |
10 |
Correct |
13 ms |
16128 KB |
Output is correct |
11 |
Correct |
14 ms |
16128 KB |
Output is correct |
12 |
Correct |
14 ms |
16128 KB |
Output is correct |
13 |
Correct |
14 ms |
16128 KB |
Output is correct |
14 |
Correct |
16 ms |
16128 KB |
Output is correct |
15 |
Correct |
14 ms |
16128 KB |
Output is correct |
16 |
Correct |
14 ms |
16128 KB |
Output is correct |
17 |
Correct |
14 ms |
16128 KB |
Output is correct |
18 |
Correct |
14 ms |
16128 KB |
Output is correct |
19 |
Correct |
14 ms |
16128 KB |
Output is correct |
20 |
Correct |
13 ms |
16128 KB |
Output is correct |
21 |
Correct |
14 ms |
16128 KB |
Output is correct |
22 |
Correct |
14 ms |
16128 KB |
Output is correct |
23 |
Correct |
13 ms |
16128 KB |
Output is correct |
24 |
Correct |
13 ms |
16128 KB |
Output is correct |
25 |
Correct |
13 ms |
16128 KB |
Output is correct |
26 |
Correct |
12 ms |
16128 KB |
Output is correct |
27 |
Correct |
15 ms |
16128 KB |
Output is correct |
28 |
Correct |
13 ms |
16128 KB |
Output is correct |
29 |
Correct |
13 ms |
16128 KB |
Output is correct |
30 |
Correct |
14 ms |
16104 KB |
Output is correct |
31 |
Correct |
13 ms |
16128 KB |
Output is correct |
32 |
Correct |
13 ms |
16128 KB |
Output is correct |
33 |
Correct |
13 ms |
16128 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
13 ms |
16000 KB |
Output is correct |
2 |
Correct |
12 ms |
16000 KB |
Output is correct |
3 |
Correct |
13 ms |
15872 KB |
Output is correct |
4 |
Correct |
13 ms |
16000 KB |
Output is correct |
5 |
Correct |
14 ms |
16256 KB |
Output is correct |
6 |
Correct |
13 ms |
16128 KB |
Output is correct |
7 |
Correct |
14 ms |
16128 KB |
Output is correct |
8 |
Correct |
14 ms |
16128 KB |
Output is correct |
9 |
Correct |
14 ms |
16128 KB |
Output is correct |
10 |
Correct |
13 ms |
16128 KB |
Output is correct |
11 |
Correct |
14 ms |
16128 KB |
Output is correct |
12 |
Correct |
14 ms |
16128 KB |
Output is correct |
13 |
Correct |
14 ms |
16128 KB |
Output is correct |
14 |
Correct |
16 ms |
16128 KB |
Output is correct |
15 |
Correct |
14 ms |
16128 KB |
Output is correct |
16 |
Correct |
14 ms |
16128 KB |
Output is correct |
17 |
Correct |
14 ms |
16128 KB |
Output is correct |
18 |
Correct |
14 ms |
16128 KB |
Output is correct |
19 |
Correct |
14 ms |
16128 KB |
Output is correct |
20 |
Correct |
13 ms |
16128 KB |
Output is correct |
21 |
Correct |
14 ms |
16128 KB |
Output is correct |
22 |
Correct |
14 ms |
16128 KB |
Output is correct |
23 |
Correct |
13 ms |
16128 KB |
Output is correct |
24 |
Correct |
13 ms |
16128 KB |
Output is correct |
25 |
Correct |
13 ms |
16128 KB |
Output is correct |
26 |
Correct |
12 ms |
16128 KB |
Output is correct |
27 |
Correct |
15 ms |
16128 KB |
Output is correct |
28 |
Correct |
13 ms |
16128 KB |
Output is correct |
29 |
Correct |
13 ms |
16128 KB |
Output is correct |
30 |
Correct |
14 ms |
16104 KB |
Output is correct |
31 |
Correct |
13 ms |
16128 KB |
Output is correct |
32 |
Correct |
13 ms |
16128 KB |
Output is correct |
33 |
Correct |
13 ms |
16128 KB |
Output is correct |
34 |
Correct |
290 ms |
41900 KB |
Output is correct |
35 |
Correct |
292 ms |
43160 KB |
Output is correct |
36 |
Correct |
284 ms |
42672 KB |
Output is correct |
37 |
Correct |
308 ms |
43312 KB |
Output is correct |
38 |
Correct |
294 ms |
42928 KB |
Output is correct |
39 |
Correct |
277 ms |
42416 KB |
Output is correct |
40 |
Correct |
304 ms |
44908 KB |
Output is correct |
41 |
Correct |
279 ms |
43312 KB |
Output is correct |
42 |
Correct |
300 ms |
44336 KB |
Output is correct |
43 |
Correct |
311 ms |
37744 KB |
Output is correct |
44 |
Correct |
321 ms |
37872 KB |
Output is correct |
45 |
Correct |
312 ms |
37740 KB |
Output is correct |
46 |
Correct |
296 ms |
37612 KB |
Output is correct |
47 |
Correct |
295 ms |
44392 KB |
Output is correct |
48 |
Correct |
285 ms |
44140 KB |
Output is correct |
49 |
Correct |
292 ms |
43372 KB |
Output is correct |
50 |
Correct |
297 ms |
44396 KB |
Output is correct |
51 |
Correct |
312 ms |
44396 KB |
Output is correct |
52 |
Correct |
183 ms |
33612 KB |
Output is correct |
53 |
Correct |
184 ms |
33496 KB |
Output is correct |
54 |
Correct |
172 ms |
33644 KB |
Output is correct |
55 |
Correct |
173 ms |
33260 KB |
Output is correct |
56 |
Correct |
304 ms |
31340 KB |
Output is correct |
57 |
Correct |
255 ms |
40428 KB |
Output is correct |
58 |
Correct |
255 ms |
40556 KB |
Output is correct |
59 |
Correct |
258 ms |
40556 KB |
Output is correct |
60 |
Correct |
243 ms |
39344 KB |
Output is correct |
61 |
Correct |
266 ms |
41240 KB |
Output is correct |
62 |
Correct |
267 ms |
40684 KB |
Output is correct |
63 |
Correct |
265 ms |
41196 KB |
Output is correct |
64 |
Correct |
254 ms |
40112 KB |
Output is correct |
65 |
Correct |
265 ms |
41068 KB |
Output is correct |