Submission #703087

#TimeUsernameProblemLanguageResultExecution timeMemory
703087Darren0724Building 4 (JOI20_building4)C++17
100 / 100
268 ms34132 KiB
#include<bits/stdc++.h>
using namespace std;
#define all(x) x.begin(),x.end()
const int INF=1e9;
int main(){
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    int n;cin>>n;
    int m=n*2;
    vector<int> a(m+1),b(m+1);
    for(int i=1;i<=m;i++){
        cin>>a[i];
    }
    for(int i=1;i<=m;i++){
        cin>>b[i];
    }
    vector<vector<int>> dp(4,vector<int>(m+1));
    for(int i=1;i<=m;i++){
        dp[0][i]=dp[2][i]=INF;
        dp[1][i]=dp[3][i]=-INF;
    }
    for(int i=1;i<=m;i++){
        if(a[i]>=a[i-1]){
            dp[0][i]=min(dp[0][i],dp[0][i-1]+1);
            dp[1][i]=max(dp[1][i],dp[1][i-1]+1);
        }
        if(a[i]>=b[i-1]){
            dp[0][i]=min(dp[0][i],dp[2][i-1]+1);
            dp[1][i]=max(dp[1][i],dp[3][i-1]+1);
        }
        if(b[i]>=a[i-1]){
            dp[2][i]=min(dp[2][i],dp[0][i-1]);
            dp[3][i]=max(dp[3][i],dp[1][i-1]);
        }
        if(b[i]>=b[i-1]){
            dp[2][i]=min(dp[2][i],dp[2][i-1]);
            dp[3][i]=max(dp[3][i],dp[3][i-1]);
        }
    }
    int idx=-1;
    if(n>=dp[0][m]&&n<=dp[1][m]){
        idx=0;
    }
    if(n>=dp[2][m]&&n<=dp[3][m]){
        idx=1;
    }
    if(idx==-1){
        cout<<-1<<endl;
        return 0;
    }
    vector<char> ans(m+1);
    int need=n;
    for(int i=m;i>0;i--){
        if(idx==0){
            need--;
            ans[i]='A';
            if(a[i]>=a[i-1]&&dp[0][i-1]<=need&&dp[1][i-1]>=need){
                idx=0;
            }
            else{
                idx=1;
            }
        }
        else{
            ans[i]='B';
            if(b[i]>=a[i-1]&&dp[0][i-1]<=need&&dp[1][i-1]>=need){
                idx=0;
            }
            else{
                idx=1;
            }
        }
    }
    for(int i=1;i<=m;i++){
        cout<<ans[i];
    }


    return 0;
}
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