#include <bits/stdc++.h>
#define ll long long
#define pb push_back
#define mp make_pair
using namespace std;
const int maxn = 500100;
const int inf = 1e7;
int a[2*maxn], b[2*maxn];
int dpmax[2*maxn][2], dpmin[2*maxn][2];
int n;
int main() {
cin>>n;
for(int i=1;i<=2*n;i++) {
cin>>a[i];
}
for(int i=1;i<=2*n;i++) {
cin>>b[i];
}
dpmin[1][0] = dpmax[1][0] = 1;
dpmin[1][1] = dpmax[1][1] = 0;
for(int i=2;i<=2*n;i++) {
dpmin[i][0] = inf;
dpmax[i][0] = 0;
if(a[i] >= a[i-1]) {
dpmin[i][0] = min(dpmin[i-1][0] + 1, dpmin[i][0]);
dpmax[i][0] = max(dpmax[i-1][0] + 1, dpmax[i][0]);
}
if(a[i] >= b[i-1]) {
dpmin[i][0] = min(dpmin[i][0], dpmin[i-1][1] + 1);
dpmax[i][0] = max(dpmax[i][0], dpmax[i-1][1] + 1);
}
dpmin[i][1] = inf;
dpmax[i][1] = 0;
if(b[i] >= b[i-1]) {
dpmin[i][1] = min(dpmin[i-1][1], dpmin[i][1]);
dpmax[i][1] = max(dpmax[i-1][1], dpmax[i][1]);
}
if(b[i] >= a[i-1]) {
dpmin[i][1] = min(dpmin[i][1], dpmin[i-1][0]);
dpmax[i][1] = max(dpmax[i][1], dpmax[i-1][0]);
}
}
if(!(dpmin[2*n][0]<=n && dpmax[2*n][0]>=n) && !(dpmin[2*n][1]<=n && dpmax[2*n][1]>=n)) {
cout<<"-1\n";
return 0;
}
if(dpmin[2*n][0] <= n && dpmax[2*n][0]>=n) {
// last is "A"
string result = "A";
int lft = n - 1;
bool lst = false;
for(int i=2*n-1;i>=1;i--) {
// if we put B on this position, can we put lft A's behind me
/*cout<<"At position: "<<i<<" there are "<<lft<<"\n";
cout<<"With A: "<<dpmin[i][0]<<" and "<<dpmax[i][0]<<"\n";
cout<<"With B: "<<dpmin[i][1]<<" and "<<dpmax[i][1]<<"\n"; */
bool nlst;
if(!lst) {
if(b[i] <= a[i+1] && dpmin[i][1] <= lft && dpmax[i][1] >= lft) {
result += 'B';
nlst = true;
//cout<<"Adding B\n";
}
else if(a[i] <= a[i+1] && dpmin[i][0] <= lft && dpmax[i][0] >= lft && lft >= 1) {
result += 'A';
nlst = false;
lft--;
//cout<<"Adding A\n";
}
}
else {
if(b[i] <= b[i+1] && dpmin[i][1] <= lft && dpmax[i][1] >= lft) {
result += 'B';
nlst = true;
//cout<<"Adding B\n";
}
else if(a[i] <= b[i+1] && dpmin[i][0] <= lft && dpmax[i][0] >= lft && lft >= 1) {
result += 'A';
nlst = false;
lft--;
//cout<<"Adding A\n";
}
}
lst = nlst;
}
reverse(result.begin(), result.end());
cout<<result<<"\n";
}
else if(dpmin[2*n][1] <= n && dpmax[2*n][1]>=n) {
// last is "A"
string result = "B";
int lft = n;
bool lst = true;
for(int i=2*n-1;i>=1;i--) {
// if we put B on this position, can we put lft A's behind me
/*cout<<"At position: "<<i<<" there are "<<lft<<"\n";
cout<<"With A: "<<dpmin[i][0]<<" and "<<dpmax[i][0]<<"\n";
cout<<"With B: "<<dpmin[i][1]<<" and "<<dpmax[i][1]<<"\n"; */
bool nlst;
if(!lst) {
if(b[i] <= a[i+1] && dpmin[i][1] <= lft && dpmax[i][1] >= lft) {
result += 'B';
nlst = true;
//cout<<"Adding B\n";
}
else if(a[i] <= a[i+1] && dpmin[i][0] <= lft && dpmax[i][0] >= lft && lft >= 1) {
result += 'A';
nlst = false;
lft--;
//cout<<"Adding A\n";
}
}
else {
if(b[i] <= b[i+1] && dpmin[i][1] <= lft && dpmax[i][1] >= lft) {
result += 'B';
nlst = true;
//cout<<"Adding B\n";
}
else if(a[i] <= b[i+1] && dpmin[i][0] <= lft && dpmax[i][0] >= lft && lft >= 1) {
result += 'A';
nlst = false;
lft--;
//cout<<"Adding A\n";
}
}
lst = nlst;
}
reverse(result.begin(), result.end());
cout<<result<<"\n";
}
}
Compilation message
building4.cpp: In function 'int main()':
building4.cpp:114:4: warning: 'nlst' may be used uninitialized in this function [-Wmaybe-uninitialized]
if(!lst) {
^~
building4.cpp:68:4: warning: 'nlst' may be used uninitialized in this function [-Wmaybe-uninitialized]
if(!lst) {
^~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
384 KB |
Output is correct |
2 |
Correct |
4 ms |
384 KB |
Output is correct |
3 |
Correct |
4 ms |
384 KB |
Output is correct |
4 |
Correct |
5 ms |
384 KB |
Output is correct |
5 |
Correct |
9 ms |
512 KB |
Output is correct |
6 |
Correct |
9 ms |
512 KB |
Output is correct |
7 |
Correct |
9 ms |
512 KB |
Output is correct |
8 |
Correct |
10 ms |
512 KB |
Output is correct |
9 |
Correct |
9 ms |
512 KB |
Output is correct |
10 |
Correct |
9 ms |
512 KB |
Output is correct |
11 |
Correct |
9 ms |
512 KB |
Output is correct |
12 |
Correct |
10 ms |
512 KB |
Output is correct |
13 |
Correct |
10 ms |
512 KB |
Output is correct |
14 |
Correct |
9 ms |
512 KB |
Output is correct |
15 |
Correct |
9 ms |
384 KB |
Output is correct |
16 |
Correct |
9 ms |
512 KB |
Output is correct |
17 |
Correct |
9 ms |
512 KB |
Output is correct |
18 |
Correct |
10 ms |
512 KB |
Output is correct |
19 |
Correct |
10 ms |
512 KB |
Output is correct |
20 |
Correct |
7 ms |
512 KB |
Output is correct |
21 |
Correct |
7 ms |
512 KB |
Output is correct |
22 |
Correct |
7 ms |
512 KB |
Output is correct |
23 |
Correct |
7 ms |
640 KB |
Output is correct |
24 |
Correct |
10 ms |
512 KB |
Output is correct |
25 |
Correct |
8 ms |
512 KB |
Output is correct |
26 |
Correct |
7 ms |
512 KB |
Output is correct |
27 |
Correct |
8 ms |
512 KB |
Output is correct |
28 |
Correct |
7 ms |
512 KB |
Output is correct |
29 |
Correct |
8 ms |
512 KB |
Output is correct |
30 |
Correct |
7 ms |
512 KB |
Output is correct |
31 |
Correct |
8 ms |
512 KB |
Output is correct |
32 |
Correct |
7 ms |
512 KB |
Output is correct |
33 |
Correct |
8 ms |
512 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
384 KB |
Output is correct |
2 |
Correct |
4 ms |
384 KB |
Output is correct |
3 |
Correct |
4 ms |
384 KB |
Output is correct |
4 |
Correct |
5 ms |
384 KB |
Output is correct |
5 |
Correct |
9 ms |
512 KB |
Output is correct |
6 |
Correct |
9 ms |
512 KB |
Output is correct |
7 |
Correct |
9 ms |
512 KB |
Output is correct |
8 |
Correct |
10 ms |
512 KB |
Output is correct |
9 |
Correct |
9 ms |
512 KB |
Output is correct |
10 |
Correct |
9 ms |
512 KB |
Output is correct |
11 |
Correct |
9 ms |
512 KB |
Output is correct |
12 |
Correct |
10 ms |
512 KB |
Output is correct |
13 |
Correct |
10 ms |
512 KB |
Output is correct |
14 |
Correct |
9 ms |
512 KB |
Output is correct |
15 |
Correct |
9 ms |
384 KB |
Output is correct |
16 |
Correct |
9 ms |
512 KB |
Output is correct |
17 |
Correct |
9 ms |
512 KB |
Output is correct |
18 |
Correct |
10 ms |
512 KB |
Output is correct |
19 |
Correct |
10 ms |
512 KB |
Output is correct |
20 |
Correct |
7 ms |
512 KB |
Output is correct |
21 |
Correct |
7 ms |
512 KB |
Output is correct |
22 |
Correct |
7 ms |
512 KB |
Output is correct |
23 |
Correct |
7 ms |
640 KB |
Output is correct |
24 |
Correct |
10 ms |
512 KB |
Output is correct |
25 |
Correct |
8 ms |
512 KB |
Output is correct |
26 |
Correct |
7 ms |
512 KB |
Output is correct |
27 |
Correct |
8 ms |
512 KB |
Output is correct |
28 |
Correct |
7 ms |
512 KB |
Output is correct |
29 |
Correct |
8 ms |
512 KB |
Output is correct |
30 |
Correct |
7 ms |
512 KB |
Output is correct |
31 |
Correct |
8 ms |
512 KB |
Output is correct |
32 |
Correct |
7 ms |
512 KB |
Output is correct |
33 |
Correct |
8 ms |
512 KB |
Output is correct |
34 |
Correct |
1194 ms |
42880 KB |
Output is correct |
35 |
Correct |
1144 ms |
42160 KB |
Output is correct |
36 |
Correct |
1116 ms |
41392 KB |
Output is correct |
37 |
Correct |
1153 ms |
42288 KB |
Output is correct |
38 |
Correct |
1133 ms |
42416 KB |
Output is correct |
39 |
Correct |
1081 ms |
41392 KB |
Output is correct |
40 |
Correct |
1195 ms |
45036 KB |
Output is correct |
41 |
Correct |
1113 ms |
42520 KB |
Output is correct |
42 |
Correct |
1160 ms |
43820 KB |
Output is correct |
43 |
Correct |
1235 ms |
45488 KB |
Output is correct |
44 |
Correct |
1214 ms |
45344 KB |
Output is correct |
45 |
Correct |
1237 ms |
45544 KB |
Output is correct |
46 |
Correct |
1208 ms |
45460 KB |
Output is correct |
47 |
Correct |
1161 ms |
44640 KB |
Output is correct |
48 |
Correct |
1168 ms |
44268 KB |
Output is correct |
49 |
Correct |
1195 ms |
45156 KB |
Output is correct |
50 |
Correct |
1197 ms |
44776 KB |
Output is correct |
51 |
Correct |
1190 ms |
44640 KB |
Output is correct |
52 |
Correct |
656 ms |
33772 KB |
Output is correct |
53 |
Correct |
661 ms |
33900 KB |
Output is correct |
54 |
Correct |
650 ms |
33588 KB |
Output is correct |
55 |
Correct |
652 ms |
33260 KB |
Output is correct |
56 |
Correct |
1218 ms |
45676 KB |
Output is correct |
57 |
Correct |
976 ms |
40296 KB |
Output is correct |
58 |
Correct |
983 ms |
40688 KB |
Output is correct |
59 |
Correct |
977 ms |
40684 KB |
Output is correct |
60 |
Correct |
947 ms |
38572 KB |
Output is correct |
61 |
Correct |
991 ms |
41068 KB |
Output is correct |
62 |
Correct |
995 ms |
40424 KB |
Output is correct |
63 |
Correct |
1004 ms |
41068 KB |
Output is correct |
64 |
Correct |
979 ms |
39852 KB |
Output is correct |
65 |
Correct |
1027 ms |
41064 KB |
Output is correct |