#include <bits/stdc++.h>
using namespace std;
const int mxN=5e5;
int n;
pair<int, char> p[2][2*mxN];
bool b[2][2*mxN];
char ans[2*mxN];
vector<array<int, 4>> r;
int main() {
ios::sync_with_stdio(0);
cin.tie(0);
cin >> n;
for(int j : {0, 1}) {
for(int i=0; i<2*n; ++i) {
cin >> p[j][i].first;
p[j][i].second='A'+j;
}
}
for(int i=0; i<2*n; ++i) {
if(p[0][i].first>p[1][i].first)
swap(p[0][i], p[1][i]);
if(i) {
if(p[0][i-1].first>p[1][i].first) {
cout << -1;
return 0;
}
if(p[1][i-1].first>p[1][i].first) {
b[0][i-1]=1;
}
if(p[0][i].first<p[0][i-1].first) {
b[1][i]=1;
}
if(p[0][i].first<p[1][i-1].first) {
//must choose 1 of (1, i) or (0, i-1)
if(b[1][i-1])
b[1][i]=1;
}
}
}
for(int i=2*n-1; i; --i) {
if(p[0][i].first<p[1][i-1].first) {
if(b[0][i])
b[0][i-1]=1;
}
}
for(int i=0; i<2*n; ++i) {
if(b[0][i]&&b[1][i]) {
cout << -1;
return 0;
}
}
int l[2]={n, n};
for(int i=0; i<2*n; ++i) {
for(int j : {0, 1}) {
if(b[j][i]) {
ans[i]=p[j][i].second;
--l[p[j][i].second-'A'];
}
}
}
int mns=0, mxs=0;
for(int i=0, j=0; i<2*n; i=j) {
if(b[0][i]||b[1][i]) {
++j;
continue;
}
for(++j; j<2*n&&!b[0][j]&&!b[1][j]&&p[0][j].first<p[1][j-1].first; ++j);
int c=0;
for(int k=i; k<j; ++k)
c+=p[0][k].second=='A';
int mn=c, mx=c;
for(int k=j-1; k>=i; --k) {
c-=p[0][k].second=='A';
c+=p[1][k].second=='A';
mn=min(mn, c);
mx=max(mx, c);
}
r.push_back({i, j, mn, mx});
mns+=mn;
mxs+=mx;
}
if(l[0]<mns||l[0]>mxs) {
cout << -1;
return 0;
}
l[0]-=mns;
for(array<int, 4> ri : r) {
int need=min(l[0], ri[3]-ri[2]);
l[0]-=need;
int c=0;
for(int k=ri[0]; k<ri[1]; ++k) {
c+=p[0][k].second=='A';
ans[k]=p[0][k].second;
}
if(c-ri[2]==need)
continue;
for(int k=ri[1]-1; k>=ri[0]; --k) {
c-=p[0][k].second=='A';
c+=p[1][k].second=='A';
ans[k]=p[1][k].second;
if(c-ri[2]==need) {
break;
}
}
}
for(int i=0; i<2*n; ++i)
cout << ans[i];
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
256 KB |
Output is correct |
2 |
Correct |
5 ms |
384 KB |
Output is correct |
3 |
Correct |
5 ms |
384 KB |
Output is correct |
4 |
Correct |
5 ms |
384 KB |
Output is correct |
5 |
Correct |
5 ms |
512 KB |
Output is correct |
6 |
Correct |
6 ms |
256 KB |
Output is correct |
7 |
Correct |
6 ms |
512 KB |
Output is correct |
8 |
Correct |
6 ms |
640 KB |
Output is correct |
9 |
Correct |
6 ms |
512 KB |
Output is correct |
10 |
Correct |
6 ms |
384 KB |
Output is correct |
11 |
Correct |
6 ms |
512 KB |
Output is correct |
12 |
Correct |
6 ms |
512 KB |
Output is correct |
13 |
Correct |
6 ms |
512 KB |
Output is correct |
14 |
Correct |
6 ms |
640 KB |
Output is correct |
15 |
Correct |
6 ms |
512 KB |
Output is correct |
16 |
Correct |
6 ms |
512 KB |
Output is correct |
17 |
Correct |
6 ms |
512 KB |
Output is correct |
18 |
Correct |
6 ms |
512 KB |
Output is correct |
19 |
Correct |
6 ms |
512 KB |
Output is correct |
20 |
Correct |
6 ms |
640 KB |
Output is correct |
21 |
Correct |
5 ms |
512 KB |
Output is correct |
22 |
Correct |
5 ms |
640 KB |
Output is correct |
23 |
Correct |
5 ms |
640 KB |
Output is correct |
24 |
Correct |
6 ms |
512 KB |
Output is correct |
25 |
Correct |
6 ms |
512 KB |
Output is correct |
26 |
Correct |
5 ms |
512 KB |
Output is correct |
27 |
Correct |
5 ms |
512 KB |
Output is correct |
28 |
Correct |
5 ms |
512 KB |
Output is correct |
29 |
Correct |
6 ms |
512 KB |
Output is correct |
30 |
Correct |
5 ms |
512 KB |
Output is correct |
31 |
Correct |
5 ms |
512 KB |
Output is correct |
32 |
Correct |
5 ms |
512 KB |
Output is correct |
33 |
Correct |
5 ms |
512 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
256 KB |
Output is correct |
2 |
Correct |
5 ms |
384 KB |
Output is correct |
3 |
Correct |
5 ms |
384 KB |
Output is correct |
4 |
Correct |
5 ms |
384 KB |
Output is correct |
5 |
Correct |
5 ms |
512 KB |
Output is correct |
6 |
Correct |
6 ms |
256 KB |
Output is correct |
7 |
Correct |
6 ms |
512 KB |
Output is correct |
8 |
Correct |
6 ms |
640 KB |
Output is correct |
9 |
Correct |
6 ms |
512 KB |
Output is correct |
10 |
Correct |
6 ms |
384 KB |
Output is correct |
11 |
Correct |
6 ms |
512 KB |
Output is correct |
12 |
Correct |
6 ms |
512 KB |
Output is correct |
13 |
Correct |
6 ms |
512 KB |
Output is correct |
14 |
Correct |
6 ms |
640 KB |
Output is correct |
15 |
Correct |
6 ms |
512 KB |
Output is correct |
16 |
Correct |
6 ms |
512 KB |
Output is correct |
17 |
Correct |
6 ms |
512 KB |
Output is correct |
18 |
Correct |
6 ms |
512 KB |
Output is correct |
19 |
Correct |
6 ms |
512 KB |
Output is correct |
20 |
Correct |
6 ms |
640 KB |
Output is correct |
21 |
Correct |
5 ms |
512 KB |
Output is correct |
22 |
Correct |
5 ms |
640 KB |
Output is correct |
23 |
Correct |
5 ms |
640 KB |
Output is correct |
24 |
Correct |
6 ms |
512 KB |
Output is correct |
25 |
Correct |
6 ms |
512 KB |
Output is correct |
26 |
Correct |
5 ms |
512 KB |
Output is correct |
27 |
Correct |
5 ms |
512 KB |
Output is correct |
28 |
Correct |
5 ms |
512 KB |
Output is correct |
29 |
Correct |
6 ms |
512 KB |
Output is correct |
30 |
Correct |
5 ms |
512 KB |
Output is correct |
31 |
Correct |
5 ms |
512 KB |
Output is correct |
32 |
Correct |
5 ms |
512 KB |
Output is correct |
33 |
Correct |
5 ms |
512 KB |
Output is correct |
34 |
Correct |
277 ms |
15736 KB |
Output is correct |
35 |
Correct |
329 ms |
18496 KB |
Output is correct |
36 |
Correct |
326 ms |
18296 KB |
Output is correct |
37 |
Correct |
336 ms |
18680 KB |
Output is correct |
38 |
Correct |
349 ms |
34148 KB |
Output is correct |
39 |
Correct |
296 ms |
22368 KB |
Output is correct |
40 |
Correct |
339 ms |
26216 KB |
Output is correct |
41 |
Correct |
292 ms |
17144 KB |
Output is correct |
42 |
Correct |
320 ms |
18424 KB |
Output is correct |
43 |
Correct |
332 ms |
19960 KB |
Output is correct |
44 |
Correct |
333 ms |
19960 KB |
Output is correct |
45 |
Correct |
334 ms |
19960 KB |
Output is correct |
46 |
Correct |
347 ms |
33856 KB |
Output is correct |
47 |
Correct |
334 ms |
24032 KB |
Output is correct |
48 |
Correct |
324 ms |
23268 KB |
Output is correct |
49 |
Correct |
348 ms |
26344 KB |
Output is correct |
50 |
Correct |
329 ms |
19960 KB |
Output is correct |
51 |
Correct |
346 ms |
19960 KB |
Output is correct |
52 |
Correct |
213 ms |
19960 KB |
Output is correct |
53 |
Correct |
204 ms |
19960 KB |
Output is correct |
54 |
Correct |
207 ms |
35520 KB |
Output is correct |
55 |
Correct |
207 ms |
35556 KB |
Output is correct |
56 |
Correct |
315 ms |
18040 KB |
Output is correct |
57 |
Correct |
284 ms |
18424 KB |
Output is correct |
58 |
Correct |
292 ms |
18552 KB |
Output is correct |
59 |
Correct |
284 ms |
18040 KB |
Output is correct |
60 |
Correct |
265 ms |
17784 KB |
Output is correct |
61 |
Correct |
280 ms |
18808 KB |
Output is correct |
62 |
Correct |
276 ms |
18684 KB |
Output is correct |
63 |
Correct |
286 ms |
18936 KB |
Output is correct |
64 |
Correct |
268 ms |
18168 KB |
Output is correct |
65 |
Correct |
289 ms |
18808 KB |
Output is correct |