This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
#define pb push_back
#define ll long long
#define s second
#define f first
#define int ll
using namespace std;
const int N = 4005;
int A[N],B[N];
string s;
pair<int,pair<int,int> > dp[N][N];
main (){
ios_base::sync_with_stdio(0),cin.tie(NULL),cout.tie(NULL);
int n;
cin>>n;
for (int i=1;i<=2*n;i++) cin>>A[i];
for (int i=1;i<=2*n;i++) cin>>B[i];
pair<int,pair<int,int> > em = {0,{0,1e9}};
for (int i=0;i<=2*n;i++)
for (int j=0;j<=2*n;j++)
dp[i][j] = em;
dp[1][0] = {1,{1,A[1]}};
dp[0][1] = {1,{2,B[1]}};
for (int i=2;i<=2*n;i++){
for (int j=0;j<i;j++){
int a=j,b = i-1-j;
if (dp[a][b] == em) continue;
if (dp[a][b].s.s <= A[i] && A[i] < dp[a+1][b].s.s)
dp[a+1][b] = {i,{1,A[i]}};
if (dp[a][b].s.s <= B[i] && B[i] < dp[a][b+1].s.s)
dp[a][b+1] = {i,{2,B[i]}};
}
}
if (dp[n][n].f == 0) {
cout<<-1;
return 0;
}
int l=n,r=n;
for (int i=2*n;i>=1;i--){
if (dp[l][r].s.f == 2) s[i] = 'B',r--;
else s[i] = 'A',l--;
}
for (int i=1;i<=2*n;i++)
cout<<s[i];
}
Compilation message (stderr)
building4.cpp:12:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
12 | main (){
| ^~~~
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