#include <bits/stdc++.h>
using namespace std;
#define F first
#define S second
#define int long long
pair<int, int> uni(pair<int, int> p1, pair<int, int> p2){
return {min(p1.F, p2.F), max(p1.S, p2.S)};
}
const int N =1e6+3;
int a[N], b[N];
pair<int, int> dp[N][2];
signed main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
int n;
cin >> n;
n<<=1;
for(int i=0; i< n; i++)cin >> a[i];
for(int i=0; i< n; i++)cin >> b[i];
dp[0][0]={1, 1};
dp[0][1]={0, 0};
for(int i=1; i<n; i++){
dp[i][0]=dp[i][1]={2e9, -2e9};
if(a[i]>=a[i-1] && a[i]>=b[i-1]){
dp[i][0]=uni(dp[i-1][0], dp[i-1][1]);
}
else if(a[i]>=a[i-1]){
dp[i][0]=dp[i-1][0];
}
else if(a[i]>=b[i-1]){
dp[i][0]=dp[i-1][1];
}
dp[i][0].F++;
dp[i][0].S++;
if(b[i]>=a[i-1] && b[i]>=b[i-1]){
dp[i][1]=uni(dp[i-1][0], dp[i-1][1]);
}
else if(b[i]>=a[i-1])dp[i][1]=dp[i-1][0];
else if(b[i]>=b[i-1])dp[i][1]=dp[i-1][1];
}
bool let=0;
string cons="";
int cnt=n/2;
if(dp[n-1][0].F<=n/2 && dp[n-1][0].S>=n/2){
cnt--;
cons+='A';
}
else if(dp[n-1][1].F<=n/2 && dp[n-1][1].S>=n/2){
let=1;
cons+='B';
}
for(int i=n-1; i>=1; i--){
if(let)swap(a[i], b[i]);
if(a[i-1]<=a[i] && cnt && dp[i-1][0].F<=cnt && dp[i-1][0].S>=cnt){
if(let)swap(a[i], b[i]);
cons+='A';
let=0;
cnt--;
}
else{
if(let)swap(a[i], b[i]);
cons+='B';
let=1;
}
}
reverse(cons.begin(), cons.end());
int prev=0;
for(int i = 0; i< n; i++){
if(cons[i]=='A'){
if(a[i]>=prev){
prev=a[i];
}
else prev=2e9;
}
else{
if(b[i]>=prev){
prev=b[i];
}
else prev=2e9;
}
}
if(prev==2e9 || cons.size()!=n || cnt!=0){
cout << -1 << '\n';
return 0;
}
cout << cons << '\n';
}
Compilation message
building4.cpp: In function 'int main()':
building4.cpp:88:32: warning: comparison of integer expressions of different signedness: 'std::__cxx11::basic_string<char>::size_type' {aka 'long unsigned int'} and 'long long int' [-Wsign-compare]
88 | if(prev==2e9 || cons.size()!=n || cnt!=0){
| ~~~~~~~~~~~^~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
604 KB |
Output is correct |
6 |
Correct |
1 ms |
604 KB |
Output is correct |
7 |
Correct |
2 ms |
604 KB |
Output is correct |
8 |
Correct |
2 ms |
4700 KB |
Output is correct |
9 |
Correct |
2 ms |
4700 KB |
Output is correct |
10 |
Correct |
1 ms |
604 KB |
Output is correct |
11 |
Correct |
1 ms |
604 KB |
Output is correct |
12 |
Correct |
2 ms |
572 KB |
Output is correct |
13 |
Correct |
3 ms |
4700 KB |
Output is correct |
14 |
Correct |
2 ms |
4700 KB |
Output is correct |
15 |
Correct |
2 ms |
604 KB |
Output is correct |
16 |
Correct |
1 ms |
600 KB |
Output is correct |
17 |
Correct |
1 ms |
604 KB |
Output is correct |
18 |
Correct |
1 ms |
2652 KB |
Output is correct |
19 |
Correct |
2 ms |
4944 KB |
Output is correct |
20 |
Correct |
2 ms |
4700 KB |
Output is correct |
21 |
Correct |
2 ms |
4700 KB |
Output is correct |
22 |
Correct |
1 ms |
604 KB |
Output is correct |
23 |
Correct |
2 ms |
4704 KB |
Output is correct |
24 |
Correct |
1 ms |
4700 KB |
Output is correct |
25 |
Correct |
2 ms |
4572 KB |
Output is correct |
26 |
Correct |
1 ms |
4708 KB |
Output is correct |
27 |
Correct |
1 ms |
4600 KB |
Output is correct |
28 |
Correct |
2 ms |
4704 KB |
Output is correct |
29 |
Correct |
1 ms |
612 KB |
Output is correct |
30 |
Correct |
1 ms |
604 KB |
Output is correct |
31 |
Correct |
1 ms |
612 KB |
Output is correct |
32 |
Correct |
2 ms |
4700 KB |
Output is correct |
33 |
Correct |
2 ms |
4700 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
604 KB |
Output is correct |
6 |
Correct |
1 ms |
604 KB |
Output is correct |
7 |
Correct |
2 ms |
604 KB |
Output is correct |
8 |
Correct |
2 ms |
4700 KB |
Output is correct |
9 |
Correct |
2 ms |
4700 KB |
Output is correct |
10 |
Correct |
1 ms |
604 KB |
Output is correct |
11 |
Correct |
1 ms |
604 KB |
Output is correct |
12 |
Correct |
2 ms |
572 KB |
Output is correct |
13 |
Correct |
3 ms |
4700 KB |
Output is correct |
14 |
Correct |
2 ms |
4700 KB |
Output is correct |
15 |
Correct |
2 ms |
604 KB |
Output is correct |
16 |
Correct |
1 ms |
600 KB |
Output is correct |
17 |
Correct |
1 ms |
604 KB |
Output is correct |
18 |
Correct |
1 ms |
2652 KB |
Output is correct |
19 |
Correct |
2 ms |
4944 KB |
Output is correct |
20 |
Correct |
2 ms |
4700 KB |
Output is correct |
21 |
Correct |
2 ms |
4700 KB |
Output is correct |
22 |
Correct |
1 ms |
604 KB |
Output is correct |
23 |
Correct |
2 ms |
4704 KB |
Output is correct |
24 |
Correct |
1 ms |
4700 KB |
Output is correct |
25 |
Correct |
2 ms |
4572 KB |
Output is correct |
26 |
Correct |
1 ms |
4708 KB |
Output is correct |
27 |
Correct |
1 ms |
4600 KB |
Output is correct |
28 |
Correct |
2 ms |
4704 KB |
Output is correct |
29 |
Correct |
1 ms |
612 KB |
Output is correct |
30 |
Correct |
1 ms |
604 KB |
Output is correct |
31 |
Correct |
1 ms |
612 KB |
Output is correct |
32 |
Correct |
2 ms |
4700 KB |
Output is correct |
33 |
Correct |
2 ms |
4700 KB |
Output is correct |
34 |
Correct |
179 ms |
67900 KB |
Output is correct |
35 |
Correct |
175 ms |
64664 KB |
Output is correct |
36 |
Correct |
173 ms |
63760 KB |
Output is correct |
37 |
Correct |
215 ms |
64480 KB |
Output is correct |
38 |
Correct |
168 ms |
64856 KB |
Output is correct |
39 |
Correct |
153 ms |
65056 KB |
Output is correct |
40 |
Correct |
179 ms |
68300 KB |
Output is correct |
41 |
Correct |
163 ms |
65208 KB |
Output is correct |
42 |
Correct |
217 ms |
68100 KB |
Output is correct |
43 |
Correct |
222 ms |
68780 KB |
Output is correct |
44 |
Correct |
185 ms |
68864 KB |
Output is correct |
45 |
Correct |
187 ms |
68796 KB |
Output is correct |
46 |
Correct |
198 ms |
68868 KB |
Output is correct |
47 |
Correct |
177 ms |
67836 KB |
Output is correct |
48 |
Correct |
174 ms |
67772 KB |
Output is correct |
49 |
Correct |
198 ms |
68828 KB |
Output is correct |
50 |
Correct |
199 ms |
67900 KB |
Output is correct |
51 |
Correct |
237 ms |
68036 KB |
Output is correct |
52 |
Correct |
131 ms |
57080 KB |
Output is correct |
53 |
Correct |
132 ms |
57036 KB |
Output is correct |
54 |
Correct |
127 ms |
56924 KB |
Output is correct |
55 |
Correct |
127 ms |
56732 KB |
Output is correct |
56 |
Correct |
178 ms |
69056 KB |
Output is correct |
57 |
Correct |
225 ms |
63804 KB |
Output is correct |
58 |
Correct |
169 ms |
64072 KB |
Output is correct |
59 |
Correct |
147 ms |
64076 KB |
Output is correct |
60 |
Correct |
148 ms |
61076 KB |
Output is correct |
61 |
Correct |
169 ms |
64492 KB |
Output is correct |
62 |
Correct |
151 ms |
63556 KB |
Output is correct |
63 |
Correct |
212 ms |
64328 KB |
Output is correct |
64 |
Correct |
143 ms |
62468 KB |
Output is correct |
65 |
Correct |
192 ms |
64580 KB |
Output is correct |