Submission #1165854

#	Time	Username	Problem	Language	Result	Execution time	Memory
1165854		hikari1234	Mobile (BOI12_mobile)	C++20	0 / 100	633 ms	16096 KiB

mobile

#include <bits/stdc++.h>
using namespace std;
#define int long long
int n;
double L;
pair<double,double> a[1000005];
bool check(double mid){
    double l=0;
    for(int i=0; i<n; i++){
        double x=mid*mid-a[i].second*a[i].second;
        if(x<0){
            continue;
        }
        double dx=sqrt(x);
        if(a[i].first-dx<=l){
            l=a[i].first+dx;
        }
    }
    return l>=L;
}
signed main() {
    ios::sync_with_stdio(0);
    cin.tie(NULL);
    cout.tie(NULL);
    cin>>n>>L;
    for(int i=0; i<n; i++){
        cin>>a[i].first>>a[i].second;
    }
    double lo=0, hi=2e10;
    for(int i=0; i<100; i++){
        double mid=(lo+hi)/2;
        if(check(mid)){
            hi=mid;
        }
        else{
            lo=mid;
        }
    }
    cout<<fixed<<setprecision(18)<<lo<<endl;
}

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