#include <bits/stdc++.h>
using namespace std;
#define int long long
#define fi first
#define se second
#define pi pair <int, int>
#define pii pair <int, pi>
int n, A[1000005], B[1000005], memo[1000005][2], memo2[1000005][2];
int dp1(int x, int f){
if(x == 2 * n)return !f;
if(memo[x][f] != -1)return memo[x][f];
int val = (!f ? A[x] : B[x]);
int tmp = 1e18;
if(A[x + 1] >= val)tmp = min(tmp, dp1(x + 1, 0));
if(B[x + 1] >= val)tmp = min(tmp, dp1(x + 1, 1));
if(!f)tmp++;
return memo[x][f] = tmp;
}
int dp2(int x, int f){
if(x == 2 * n)return !f;
if(memo2[x][f] != -1)return memo2[x][f];
int val = (!f ? A[x] : B[x]);
int tmp = -1e18;
if(A[x + 1] >= val)tmp = max(tmp, dp2(x + 1, 0));
if(B[x + 1] >= val)tmp = max(tmp, dp2(x + 1, 1));
if(!f)tmp++;
return memo2[x][f] = tmp;
}
void solve(){
cin >> n;
for(int i = 1; i <= 2 * n; i++)cin >> A[i];
for(int i = 1; i <= 2 * n; i++)cin >> B[i];
memset(memo, -1, sizeof(memo));
memset(memo2, -1, sizeof(memo2));
string s;
int cura = 0, curb = 0, prv = 0;
for(int i = 1; i <= 2 * n; i++){
int mn = dp1(i, 0), mx = dp2(i, 0);
//cerr << mn << ' ' << mx << ' ';
if(mn <= n - cura && mx >= n - cura && A[i] >= prv){
s += 'A';
cura++;
prv = A[i];
}
else{
mn = dp1(i, 1), mx = dp2(i, 1);
//cerr << mn << ' ' << mx << ' ';
if(mn <= n - cura && mx >= n - cura && B[i] >= prv){
s += 'B';
curb++;
prv = B[i];
}
else{
cout << -1 << '\n';
return;
}
}
//cerr << s << '\n';
}
cout << s;
}
main(){
ios::sync_with_stdio(0);cin.tie(0);
int tc = 1;
//cin >> tc;
while(tc--)solve();
}
Compilation message
building4.cpp:65:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
65 | main(){
| ^~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
9 ms |
35416 KB |
Output is correct |
2 |
Correct |
6 ms |
35416 KB |
Output is correct |
3 |
Correct |
6 ms |
35420 KB |
Output is correct |
4 |
Correct |
5 ms |
35416 KB |
Output is correct |
5 |
Correct |
7 ms |
37436 KB |
Output is correct |
6 |
Correct |
8 ms |
37724 KB |
Output is correct |
7 |
Correct |
7 ms |
35604 KB |
Output is correct |
8 |
Correct |
8 ms |
35676 KB |
Output is correct |
9 |
Correct |
7 ms |
35676 KB |
Output is correct |
10 |
Correct |
7 ms |
35676 KB |
Output is correct |
11 |
Correct |
8 ms |
37724 KB |
Output is correct |
12 |
Correct |
8 ms |
37924 KB |
Output is correct |
13 |
Correct |
8 ms |
37980 KB |
Output is correct |
14 |
Correct |
8 ms |
37724 KB |
Output is correct |
15 |
Correct |
9 ms |
37976 KB |
Output is correct |
16 |
Correct |
9 ms |
37724 KB |
Output is correct |
17 |
Correct |
9 ms |
37976 KB |
Output is correct |
18 |
Correct |
9 ms |
37720 KB |
Output is correct |
19 |
Correct |
9 ms |
37980 KB |
Output is correct |
20 |
Correct |
8 ms |
37836 KB |
Output is correct |
21 |
Correct |
10 ms |
37976 KB |
Output is correct |
22 |
Correct |
9 ms |
37720 KB |
Output is correct |
23 |
Correct |
9 ms |
37724 KB |
Output is correct |
24 |
Correct |
8 ms |
37920 KB |
Output is correct |
25 |
Correct |
9 ms |
37720 KB |
Output is correct |
26 |
Correct |
8 ms |
37788 KB |
Output is correct |
27 |
Correct |
9 ms |
37724 KB |
Output is correct |
28 |
Correct |
9 ms |
37652 KB |
Output is correct |
29 |
Correct |
9 ms |
37724 KB |
Output is correct |
30 |
Correct |
9 ms |
37860 KB |
Output is correct |
31 |
Correct |
9 ms |
37724 KB |
Output is correct |
32 |
Correct |
8 ms |
35676 KB |
Output is correct |
33 |
Correct |
9 ms |
37720 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
9 ms |
35416 KB |
Output is correct |
2 |
Correct |
6 ms |
35416 KB |
Output is correct |
3 |
Correct |
6 ms |
35420 KB |
Output is correct |
4 |
Correct |
5 ms |
35416 KB |
Output is correct |
5 |
Correct |
7 ms |
37436 KB |
Output is correct |
6 |
Correct |
8 ms |
37724 KB |
Output is correct |
7 |
Correct |
7 ms |
35604 KB |
Output is correct |
8 |
Correct |
8 ms |
35676 KB |
Output is correct |
9 |
Correct |
7 ms |
35676 KB |
Output is correct |
10 |
Correct |
7 ms |
35676 KB |
Output is correct |
11 |
Correct |
8 ms |
37724 KB |
Output is correct |
12 |
Correct |
8 ms |
37924 KB |
Output is correct |
13 |
Correct |
8 ms |
37980 KB |
Output is correct |
14 |
Correct |
8 ms |
37724 KB |
Output is correct |
15 |
Correct |
9 ms |
37976 KB |
Output is correct |
16 |
Correct |
9 ms |
37724 KB |
Output is correct |
17 |
Correct |
9 ms |
37976 KB |
Output is correct |
18 |
Correct |
9 ms |
37720 KB |
Output is correct |
19 |
Correct |
9 ms |
37980 KB |
Output is correct |
20 |
Correct |
8 ms |
37836 KB |
Output is correct |
21 |
Correct |
10 ms |
37976 KB |
Output is correct |
22 |
Correct |
9 ms |
37720 KB |
Output is correct |
23 |
Correct |
9 ms |
37724 KB |
Output is correct |
24 |
Correct |
8 ms |
37920 KB |
Output is correct |
25 |
Correct |
9 ms |
37720 KB |
Output is correct |
26 |
Correct |
8 ms |
37788 KB |
Output is correct |
27 |
Correct |
9 ms |
37724 KB |
Output is correct |
28 |
Correct |
9 ms |
37652 KB |
Output is correct |
29 |
Correct |
9 ms |
37724 KB |
Output is correct |
30 |
Correct |
9 ms |
37860 KB |
Output is correct |
31 |
Correct |
9 ms |
37724 KB |
Output is correct |
32 |
Correct |
8 ms |
35676 KB |
Output is correct |
33 |
Correct |
9 ms |
37720 KB |
Output is correct |
34 |
Correct |
153 ms |
66212 KB |
Output is correct |
35 |
Correct |
250 ms |
139264 KB |
Output is correct |
36 |
Correct |
258 ms |
137488 KB |
Output is correct |
37 |
Correct |
249 ms |
139536 KB |
Output is correct |
38 |
Correct |
268 ms |
139896 KB |
Output is correct |
39 |
Correct |
263 ms |
138812 KB |
Output is correct |
40 |
Correct |
312 ms |
146088 KB |
Output is correct |
41 |
Correct |
306 ms |
141072 KB |
Output is correct |
42 |
Correct |
276 ms |
143608 KB |
Output is correct |
43 |
Correct |
277 ms |
147016 KB |
Output is correct |
44 |
Correct |
282 ms |
147020 KB |
Output is correct |
45 |
Correct |
274 ms |
147016 KB |
Output is correct |
46 |
Correct |
263 ms |
147016 KB |
Output is correct |
47 |
Correct |
283 ms |
146280 KB |
Output is correct |
48 |
Correct |
260 ms |
141616 KB |
Output is correct |
49 |
Correct |
270 ms |
146756 KB |
Output is correct |
50 |
Correct |
267 ms |
146260 KB |
Output is correct |
51 |
Correct |
270 ms |
146196 KB |
Output is correct |
52 |
Correct |
232 ms |
135244 KB |
Output is correct |
53 |
Correct |
218 ms |
135348 KB |
Output is correct |
54 |
Correct |
212 ms |
135440 KB |
Output is correct |
55 |
Correct |
211 ms |
134988 KB |
Output is correct |
56 |
Correct |
315 ms |
147248 KB |
Output is correct |
57 |
Correct |
262 ms |
141948 KB |
Output is correct |
58 |
Correct |
259 ms |
142152 KB |
Output is correct |
59 |
Correct |
252 ms |
142164 KB |
Output is correct |
60 |
Correct |
228 ms |
136296 KB |
Output is correct |
61 |
Correct |
270 ms |
142664 KB |
Output is correct |
62 |
Correct |
232 ms |
141244 KB |
Output is correct |
63 |
Correct |
280 ms |
142608 KB |
Output is correct |
64 |
Correct |
242 ms |
139256 KB |
Output is correct |
65 |
Correct |
251 ms |
142768 KB |
Output is correct |