Submission #1178320

#TimeUsernameProblemLanguageResultExecution timeMemory
1178320biankMarathon Race 2 (JOI24_ho_t3)C++20
100 / 100
125 ms45064 KiB
#include <bits/stdc++.h>

using namespace std;

#define forn(i,n) for(int i=0;i<int(n);i++)
#define forsn(i,s,n) for(int i=int(s);i<int(n);i++)
#define dforn(i,n) for(int i=int(n)-1;i>=0;i--)
#define dforsn(i,s,n) for(int i=int(n)-1;i>=int(s);i--)
#define fst first
#define snd second
#define pb push_back
#define eb emplace_back
#define sz(x) (int)x.size()
#define all(x) x.begin(), x.end()

typedef long long ll;
typedef vector<ll> vll;
typedef vector<int> vi;
typedef pair<int,int> ii;

const ll INF=1e18;

void chmin(ll &x, ll v){
    if(x>v) x=v;
}

const int N=2006;

ll dp[N][N][2][2];

int main(){
    ios::sync_with_stdio(0);
    cin.tie(0);
    
    int n,l;
    cin>>n>>l;
    vll X(n);
    forn(i,n) cin>>X[i];
    sort(all(X));
    vll x,c;
    forn(i,n){
        if(i==0||X[i]!=X[i-1]) x.pb(X[i]),c.pb(1);
        else c.back()++;
    }
    n=sz(x);
    int q;
    cin>>q;
    if(n*(n+1LL)/2>500000){
        forn(_,q) cout<<"No\n";
        return 0;
    }
    vector<vll> cant(n+1,vll(n+1,0));
    forn(i,n) cant[i+1][0]=cant[i][0]+c[i];
    forn(i,n+1) forn(j,n) cant[i][j+1]=cant[i][j]+c[n-j-1];
    forn(i,n+1) forn(j,n+1) forn(a,2) forn(b,2) dp[i][j][a][b]=INF;
    dp[1][0][0][0]=c[0],dp[0][1][1][1]=c[n-1];
    forn(i,n+1) forn(j,n+1) forn(k,2) forn(t,2){
        if(k==0&&i==0) continue;
        if(k==1&&j==0) continue;
        ll pos=k==0?x[i-1]:x[n-j];
        if(i<n) chmin(dp[i+1][j][0][t],dp[i][j][k][t]+(cant[i][j]+1LL)*abs(x[i]-pos)+c[i]);
        if(j<n) chmin(dp[i][j+1][1][t],dp[i][j][k][t]+(cant[i][j]+1LL)*abs(x[n-j-1]-pos)+c[n-j-1]);
    }
    forn(_,q){
        int s,g,t;
        cin>>s>>g>>t;
        int left=int(lower_bound(all(x),g)-begin(x));
        int right=n-left;
        ll res=INF;
        if(left){
            chmin(res,dp[left][right][0][0]+abs(s-x[0])+(cant[n][0]+1LL)*abs(g-x[left-1]));
        }
        if(right){
            chmin(res,dp[left][right][1][1]+abs(s-x[n-1])+(cant[n][0]+1LL)*abs(g-x[n-right]));
        }
        if(left&&right){
            chmin(res,dp[left][right][1][0]+abs(s-x[0])+(cant[n][0]+1LL)*abs(g-x[n-right]));
            chmin(res,dp[left][right][0][1]+abs(s-x[n-1])+(cant[n][0]+1LL)*abs(g-x[left-1]));
        }
        if(res<=t) cout<<"Yes\n";
        else cout<<"No\n";
    }
    
    return 0;
}
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