#include<bits/stdc++.h>
using namespace std;
const int INF = 2e9;
int n;
int a[1000005];
int b[1000005];
pair<int,int> dp[1000005][2];
pair<int,int> emp = {-1,-1};
pair<int,int> combine(pair<int,int> x, pair<int,int> y)
{
if(x==emp)
return y;
if(y==emp)
return x;
return {min(x.first,y.first), max(x.second,y.second)};
}
signed main()
{
ios_base::sync_with_stdio(0);cin.tie(0);
cin>>n;
for(int i=1;i<=2*n;i++)
cin>>a[i];
for(int i=1;i<=2*n;i++)
cin>>b[i];
dp[1][0] = {1,1};
dp[1][1] = {0,0};
for(int i=2;i<=2*n;i++)
{
dp[i][0] = emp;
dp[i][1] = emp;
if(a[i]>=a[i-1])
{
dp[i][0] = combine(dp[i][0], {dp[i-1][0].first+1, dp[i-1][0].second+1});
}
if(a[i]>=b[i-1])
{
dp[i][0] = combine(dp[i][0], {dp[i-1][1].first+1, dp[i-1][1].second+1});
}
if(b[i]>=a[i-1])
{
dp[i][1] = combine(dp[i][1], dp[i-1][0]);
}
if(b[i]>=b[i-1])
{
dp[i][1] = combine(dp[i][1], dp[i-1][1]);
}
}
if((dp[2*n][0].first<=n && dp[2*n][0].second>=n) || (dp[2*n][1].first<=n && dp[2*n][1].second>=n))
{
int cur = n, ult = INF;
string s = "";
for(int i=2*n;i>0;i--)
{
if(dp[i][0].first<=cur && dp[i][0].second>=cur && a[i] <= ult)
{
ult = a[i];
s.push_back('A');
cur--;
}
else
{
ult = b[i];
s.push_back('B');
}
}
reverse(s.begin(),s.end());
cout<<s;
}
else
cout<<-1;
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
4440 KB |
Output is correct |
2 |
Correct |
2 ms |
4444 KB |
Output is correct |
3 |
Correct |
1 ms |
4444 KB |
Output is correct |
4 |
Correct |
1 ms |
4440 KB |
Output is correct |
5 |
Correct |
3 ms |
4700 KB |
Output is correct |
6 |
Incorrect |
2 ms |
4700 KB |
Output isn't correct |
7 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
4440 KB |
Output is correct |
2 |
Correct |
2 ms |
4444 KB |
Output is correct |
3 |
Correct |
1 ms |
4444 KB |
Output is correct |
4 |
Correct |
1 ms |
4440 KB |
Output is correct |
5 |
Correct |
3 ms |
4700 KB |
Output is correct |
6 |
Incorrect |
2 ms |
4700 KB |
Output isn't correct |
7 |
Halted |
0 ms |
0 KB |
- |