Submission #853871

#	Time	Username	Problem	Language	Result	Execution time	Memory
853871		laurasofia	Mobile (BOI12_mobile)	C++14	0 / 100	1062 ms	38228 KiB

mobile

#include <bits/stdc++.h>
using namespace std;
#define vv vector<lli>
#define vvi vector<vector<int>>
#define vii vector<pr>
#define pr pair<double,double>
#define F first
#define S second
#define all(v) v.begin(), v.end()
#define lli long long
#define FOR(i,a,b) for(int i=a;i<b;i++)
#define mkp make_pair
#define fast ios::sync_with_stdio(false);cin.tie(0);


int l,n;
vector<pr > v;

pr g(double r, double x, double y){
    pr res={0,0};
    if (abs(y)>=r)return res;
    r=r*r;
    res.first=x-sqrt(r-(y*y));
    res.second=x+sqrt(r-(y*y));
    return res;
}

bool check(double r){

    
    vector<pr> q(n+1);
    //q[n]=make_pair(0,0);
    q[n]=make_pair(l,l);

    FOR(i,0,n){
        q[i]=g(r,v[i].first, v[i].second);
    }
    sort(q.begin(),q.end());

    double last=0;
    pr lll=make_pair(l,l);
    FOR(i,0,n){
        
        if (q[i].first>last)return false;
        if (q[i]==lll)return true;
        last=max(last, q[i].second);
    }
    return true;
   
}

void fun(){

    double l,m, r;
    l=0;
    r=1000000000;

    FOR(i,0,100){
        m=(l+r)/2;
        if (check(m))r=m;
        else l=m;
    }
    if (check(l))r=l;
    cout<<r<<endl;
}

int main(){ 
    ios::sync_with_stdio(0); cin.tie(0);
  //  freopen("out.txt", "w", stdout);
    cin>>n>>l;
    v=vector<pr>(n);

    FOR(i,0,n)cin>>v[i].first>>v[i].second;
    
    fun();
}

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