Submission #1365097

#TimeUsernameProblemLanguageResultExecution timeMemory
1365097AvianshSprinklers (CEOI24_sprinklers)C++20
27 / 100
405 ms5324 KiB
#include <bits/stdc++.h>

using namespace std;

#define int long long

signed main(){
    ios::sync_with_stdio(0);
    cin.tie(0);
    int n,m;
    cin >> n >> m;
    int s[n];
    for(int i = 0;i<n;i++){
        cin >> s[i];
    }
    int f[m];
    for(int i = 0;i<m;i++){
        cin >> f[i];
    }
    char ans[n];
    auto exist = [&] (int l, int r){
        //checks if flower exists between l and r
        //inclusive
        if(l>r){
            return 0;
        }
        int lef = lower_bound(f,f+m,l)-f;
        int rig = upper_bound(f,f+m,r)-f-1;
        if(lef<=rig){
            return 1;
        }
        else{
            return 0;
        }
    };
    auto check = [&] (int k){
        array<int,2> dp[n];
        //stores furthest point covered from 0
        //states = {R,L}
        array<int,2>backtrack[n];
        if(s[0]<=f[0]){
            //facing left is quite pointless but ok
            dp[0][0]=s[0]+k;
            dp[0][1]=s[0];
        }
        else{
            //sprinkler is ahead
            //facing R will miss
            dp[0][0]=-1;
            dp[0][1]=s[0];
        }
        backtrack[0][0]=-1;
        backtrack[0][1]=-1;
        for(int i = 1;i<n;i++){
            backtrack[i][0]=-1;
            backtrack[i][1]=-1;
            dp[i][0]=max(dp[i-1][0],dp[i-1][1]);
            dp[i][1]=max(dp[i-1][0],dp[i-1][1]);
            if(dp[i][0]==dp[i-1][0]){
                backtrack[i][0]=0;
                backtrack[i][1]=0;
            }
            else{
                backtrack[i][0]=1;
                backtrack[i][1]=1;
            }
            //check if I make this R
            ///transition from previous R
            if(!exist(dp[i-1][0]+1,s[i]-1)){
                //holes covered
                dp[i][0]=s[i]+k;
                backtrack[i][0]=0;
            }
            //transition form previous L
            if(!exist(dp[i-1][1]+1,s[i]-1)){
                //holes covered
                dp[i][0]=s[i]+k;
                backtrack[i][0]=1;
            }
            //check if I make this L
            //transition form previous L
            if(!exist(dp[i-1][1]+1,s[i]-k-1)){
                //holes covered
                dp[i][1]=max(s[i],dp[i-1][1]);
                backtrack[i][1]=1;
            }
            //transition from previous R
            if(!exist(dp[i-1][0]+1,s[i]-k-1)){
                //holes covered
                dp[i][1]=max(s[i],s[i-1]+k);
                backtrack[i][1]=0;
            }
        }
        if(max(dp[n-1][0],dp[n-1][1])>=f[m-1]){
            //covered so reconstruct
            int state = 0;
            if(dp[n-1][1]>=f[m-1]){
                state=1;
            }
            for(int i = n-1;i>=0;i--){
                if(state==0){
                    ans[i]='R';
                }
                else{
                    ans[i]='L';
                }
                state=backtrack[i][state];
            }
            return 1;
        }
        return 0;
    };
    int lo = 0;
    int hi = 2e9;
    while(lo<hi){
        int mid = (lo+hi)/2;
        if(check(mid)){
            hi=mid;
        }
        else{
            lo=mid+1;
        }
    }
    if(lo==2e9){
        cout << -1;
        return 0;
    }
    check(lo);
    cout << lo << "\n";
    for(int i = 0;i<n;i++){
        cout << ans[i];
    }
    return 0;
}
#Result Execution timeMemoryGrader output
Fetching results...
#Result Execution timeMemoryGrader output
Fetching results...
#Result Execution timeMemoryGrader output
Fetching results...
#Result Execution timeMemoryGrader output
Fetching results...
#Result Execution timeMemoryGrader output
Fetching results...
#Result Execution timeMemoryGrader output
Fetching results...