#include<bits/stdc++.h>
using namespace std;
int N, A[1000010], B[1000010], cntA, cntB;
int dpA[1000010][2], dpB[1000010][2];
bool chk[1000010], ret[1000010];
int main(){
scanf("%d", &N);
for(int i = 0;i < 2*N;i++){
scanf("%d", &A[i]);
}
for(int i = 0;i < 2*N;i++){
scanf("%d", &B[i]);
}
dpA[0][0] = dpB[0][1] = 1;
dpA[0][1] = dpB[0][0] = 0;
int prev = min(A[0], B[0]);
for(int i = 1;i < 2*N;i++){
if(A[i] >= A[i - 1]) dpA[i][0] = dpA[i - 1][0] + 1;
if(A[i] >= B[i - 1]) dpA[i][0] = max(dpA[i][0], dpA[i - 1][1] + 1);
if(B[i] >= A[i - 1]) dpA[i][1] = dpA[i - 1][0];
if(B[i] >= B[i - 1]) dpA[i][1] = max(dpA[i][1], dpA[i - 1][1]);
if(B[i] >= A[i - 1]) dpB[i][1] = dpB[i - 1][0] + 1;
if(B[i] >= B[i - 1]) dpB[i][1] = max(dpB[i][1], dpB[i - 1][1] + 1);
if(A[i] >= A[i - 1]) dpB[i][0] = dpB[i - 1][0];
if(A[i] >= B[i - 1]) dpB[i][0] = max(dpB[i][0], dpB[i - 1][1]);
if(A[i] <= B[i]){
if(A[i] >= prev) prev = A[i];
else if(B[i] >= prev) prev = B[i];
else{
printf("-1");
return 0;
}
}
else{
if(B[i] >= prev) prev = B[i];
else if(A[i] >= prev) prev = A[i];
else{
printf("-1");
return 0;
}
}
}
if(max(dpA[2*N-1][0], dpA[2*N-1][1]) < N || max(dpB[2*N-1][0], dpB[2*N-1][1]) < N){
printf("-1");
return 0;
}
prev = 0;
for(int i = 0;i < 2*N;i++){
if(A[i] <= B[i]){
if(A[i] >= prev) {
ret[i] = true;
chk[i] = false;
prev = A[i];
cntA++;
}
else if(B[i] >= prev) {
ret[i] = false;
chk[i] = true;
prev = B[i];
cntB++;
}
}
else{
if(B[i] >= prev) {
ret[i] = true;
chk[i] = true;
prev = B[i];
cntB++;
}
else if(A[i] >= prev) {
ret[i] = false;
chk[i] = false;
prev = A[i];
cntA++;
}
}
}
vector<int> v;
for(int i = 0;i < 2*N-1;i++){
if(!ret[i]) continue;
if(max(A[i], B[i]) <= min(A[i+1], B[i+1])) v.push_back(i);
else if(max(A[i], B[i]) <= max(A[i+1], B[i+1]) && !ret[i+1]) v.push_back(i);
}
if(ret[2*N-1]) v.push_back(2*N-1);
for(int i = 0;i < v.size();i++){
if(cntA == cntB) break;
if(cntA < cntB){
int cnt, maxcnt = 0, maxi = v[i] + 1;
if(chk[v[i]]) {maxcnt = cnt = 1; maxi = v[i];}
else cnt = -1;
if(cntA + cnt == cntB - cnt){
chk[v[i]] = false;
goto print;
}
for(int j = v[i] - 1;j >= 0;j--){
if(!ret[j]) break;
if(max(A[j], B[j]) <= min(A[j+1], B[j+1])) break;
if(max(A[j], B[j]) <= max(A[j+1], B[j+1])){
if(chk[j]) cnt++;
else cnt--;
if(cntA + cnt == cntB - cnt){
for(int k = v[i];k >= j;k--){
if(chk[k]) chk[k] = false;
else chk[k] = true;
}
goto print;
}
if(cnt > maxcnt){
maxcnt = cnt;
maxi = j;
}
}
else break;
}
for(int j = v[i];j >= maxi;j--){
if(chk[j]) chk[j] = false;
else chk[j] = true;
}
cntA += maxcnt, cntB -= maxcnt;
}
else{
int cnt, maxcnt = 0, maxi = v[i] + 1;
if(!chk[v[i]]) {maxcnt = cnt = 1; maxi = v[i];}
else cnt = -1;
if(cntB + cnt == cntA - cnt){
chk[v[i]] = true;
goto print;
}
for(int j = v[i] - 1;j >= 0;j--){
if(!ret[j]) break;
if(max(A[j], B[j]) <= min(A[j+1], B[j+1])) break;
if(max(A[j], B[j]) <= max(A[j+1], B[j+1])){
if(!chk[j]) cnt++;
else cnt--;
if(cntB + cnt == cntA - cnt){
for(int k = v[i];k >= j;k--){
if(chk[k]) chk[k] = false;
else chk[k] = true;
}
goto print;
}
if(cnt > maxcnt){
maxcnt = cnt;
maxi = j;
}
}
else break;
}
for(int j = v[i];j >= maxi;j--){
if(chk[j]) chk[j] = false;
else chk[j] = true;
}
cntB += maxcnt, cntA -= maxcnt;
}
}
print:;
for(int i = 0;i < 2*N;i++){
if(chk[i]) printf("B");
else printf("A");
}
return 0;
}
Compilation message
building4.cpp: In function 'int main()':
building4.cpp:86:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
86 | for(int i = 0;i < v.size();i++){
| ~~^~~~~~~~~~
building4.cpp:8:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
8 | scanf("%d", &N);
| ~~~~~^~~~~~~~~~
building4.cpp:10:14: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
10 | scanf("%d", &A[i]);
| ~~~~~^~~~~~~~~~~~~
building4.cpp:13:14: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
13 | scanf("%d", &B[i]);
| ~~~~~^~~~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
1 ms |
384 KB |
Output is correct |
3 |
Correct |
0 ms |
384 KB |
Output is correct |
4 |
Correct |
1 ms |
384 KB |
Output is correct |
5 |
Correct |
2 ms |
384 KB |
Output is correct |
6 |
Correct |
2 ms |
384 KB |
Output is correct |
7 |
Correct |
3 ms |
384 KB |
Output is correct |
8 |
Correct |
2 ms |
512 KB |
Output is correct |
9 |
Correct |
3 ms |
384 KB |
Output is correct |
10 |
Correct |
2 ms |
384 KB |
Output is correct |
11 |
Correct |
3 ms |
384 KB |
Output is correct |
12 |
Correct |
2 ms |
512 KB |
Output is correct |
13 |
Correct |
3 ms |
384 KB |
Output is correct |
14 |
Correct |
2 ms |
512 KB |
Output is correct |
15 |
Correct |
2 ms |
512 KB |
Output is correct |
16 |
Correct |
2 ms |
384 KB |
Output is correct |
17 |
Correct |
2 ms |
512 KB |
Output is correct |
18 |
Correct |
2 ms |
384 KB |
Output is correct |
19 |
Correct |
2 ms |
512 KB |
Output is correct |
20 |
Correct |
2 ms |
512 KB |
Output is correct |
21 |
Correct |
2 ms |
384 KB |
Output is correct |
22 |
Correct |
3 ms |
512 KB |
Output is correct |
23 |
Correct |
2 ms |
512 KB |
Output is correct |
24 |
Correct |
2 ms |
512 KB |
Output is correct |
25 |
Correct |
2 ms |
512 KB |
Output is correct |
26 |
Correct |
2 ms |
512 KB |
Output is correct |
27 |
Correct |
2 ms |
512 KB |
Output is correct |
28 |
Correct |
2 ms |
384 KB |
Output is correct |
29 |
Correct |
2 ms |
512 KB |
Output is correct |
30 |
Correct |
2 ms |
416 KB |
Output is correct |
31 |
Correct |
2 ms |
512 KB |
Output is correct |
32 |
Correct |
2 ms |
384 KB |
Output is correct |
33 |
Correct |
2 ms |
512 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
1 ms |
384 KB |
Output is correct |
3 |
Correct |
0 ms |
384 KB |
Output is correct |
4 |
Correct |
1 ms |
384 KB |
Output is correct |
5 |
Correct |
2 ms |
384 KB |
Output is correct |
6 |
Correct |
2 ms |
384 KB |
Output is correct |
7 |
Correct |
3 ms |
384 KB |
Output is correct |
8 |
Correct |
2 ms |
512 KB |
Output is correct |
9 |
Correct |
3 ms |
384 KB |
Output is correct |
10 |
Correct |
2 ms |
384 KB |
Output is correct |
11 |
Correct |
3 ms |
384 KB |
Output is correct |
12 |
Correct |
2 ms |
512 KB |
Output is correct |
13 |
Correct |
3 ms |
384 KB |
Output is correct |
14 |
Correct |
2 ms |
512 KB |
Output is correct |
15 |
Correct |
2 ms |
512 KB |
Output is correct |
16 |
Correct |
2 ms |
384 KB |
Output is correct |
17 |
Correct |
2 ms |
512 KB |
Output is correct |
18 |
Correct |
2 ms |
384 KB |
Output is correct |
19 |
Correct |
2 ms |
512 KB |
Output is correct |
20 |
Correct |
2 ms |
512 KB |
Output is correct |
21 |
Correct |
2 ms |
384 KB |
Output is correct |
22 |
Correct |
3 ms |
512 KB |
Output is correct |
23 |
Correct |
2 ms |
512 KB |
Output is correct |
24 |
Correct |
2 ms |
512 KB |
Output is correct |
25 |
Correct |
2 ms |
512 KB |
Output is correct |
26 |
Correct |
2 ms |
512 KB |
Output is correct |
27 |
Correct |
2 ms |
512 KB |
Output is correct |
28 |
Correct |
2 ms |
384 KB |
Output is correct |
29 |
Correct |
2 ms |
512 KB |
Output is correct |
30 |
Correct |
2 ms |
416 KB |
Output is correct |
31 |
Correct |
2 ms |
512 KB |
Output is correct |
32 |
Correct |
2 ms |
384 KB |
Output is correct |
33 |
Correct |
2 ms |
512 KB |
Output is correct |
34 |
Correct |
380 ms |
21988 KB |
Output is correct |
35 |
Correct |
427 ms |
42744 KB |
Output is correct |
36 |
Correct |
412 ms |
42104 KB |
Output is correct |
37 |
Correct |
419 ms |
43128 KB |
Output is correct |
38 |
Correct |
399 ms |
46940 KB |
Output is correct |
39 |
Correct |
369 ms |
43288 KB |
Output is correct |
40 |
Correct |
449 ms |
46948 KB |
Output is correct |
41 |
Correct |
377 ms |
43164 KB |
Output is correct |
42 |
Correct |
537 ms |
44536 KB |
Output is correct |
43 |
Correct |
445 ms |
46068 KB |
Output is correct |
44 |
Correct |
467 ms |
46200 KB |
Output is correct |
45 |
Correct |
450 ms |
46236 KB |
Output is correct |
46 |
Correct |
483 ms |
50264 KB |
Output is correct |
47 |
Correct |
416 ms |
46316 KB |
Output is correct |
48 |
Correct |
379 ms |
46184 KB |
Output is correct |
49 |
Correct |
376 ms |
47084 KB |
Output is correct |
50 |
Correct |
426 ms |
45304 KB |
Output is correct |
51 |
Correct |
433 ms |
45352 KB |
Output is correct |
52 |
Correct |
317 ms |
34424 KB |
Output is correct |
53 |
Correct |
342 ms |
34424 KB |
Output is correct |
54 |
Correct |
295 ms |
38364 KB |
Output is correct |
55 |
Correct |
286 ms |
37352 KB |
Output is correct |
56 |
Correct |
433 ms |
46456 KB |
Output is correct |
57 |
Correct |
335 ms |
41236 KB |
Output is correct |
58 |
Correct |
330 ms |
41464 KB |
Output is correct |
59 |
Correct |
338 ms |
41464 KB |
Output is correct |
60 |
Correct |
323 ms |
39288 KB |
Output is correct |
61 |
Correct |
338 ms |
41928 KB |
Output is correct |
62 |
Correct |
452 ms |
41208 KB |
Output is correct |
63 |
Correct |
354 ms |
41896 KB |
Output is correct |
64 |
Correct |
339 ms |
40332 KB |
Output is correct |
65 |
Correct |
332 ms |
41848 KB |
Output is correct |