Submission #708955

#TimeUsernameProblemLanguageResultExecution timeMemory
708955mmaitiMobile (BOI12_mobile)C++11
8 / 100
1071 ms8696 KiB
#include <bits/stdc++.h>
using namespace std;
#define pii pair<int,int>
vector<pii> coords;

double eps = 1e-5;
int N, L;
bool not_works(double val)
{
    double curr = 0;
    for(int i = 0; i < N; i++)
    {
        double temp_begin = coords[i].first - pow(val*val - coords[i].second*coords[i].second,0.5);
        double temp_end = coords[i].first + pow(val*val - coords[i].second*coords[i].second,0.5);

        if(temp_begin < curr)
        curr = max(curr, temp_end);
    }
    if(curr >= L)
    return true;
    else
    return false;
}
int main()
{
    
    cin >> N >> L;
    coords.resize(N);

    for(int i = 0; i < N; i++)
    {
        cin >> coords[i].first >> coords[i].second;
    }

    double lo = 0;
    double hi = 1e10;
    double mid;

    while(abs(hi-lo) > eps)
    {
        mid = (lo + hi)/2;
        if(not_works(mid))
        hi = mid;
        else
        lo = mid;
    }
    
    cout << setprecision(6) << lo << "\n";
}
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