Submission #1309744

#	Time	Username	Problem	Language	Result	Execution time	Memory
1309744		vaishakhv	Mobile (BOI12_mobile)	C++20	0 / 100	913 ms	31688 KiB

mobile

// Source: https://usaco.guide/general/io

#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
vector<pair<ld,ld>> points;

ld f(ld m){
    ld val = 1e18;
    for (auto point: points){
        val = min(val, (m-point.first)*(m-point.first) + point.second*point.second);
    }

    return val;
}

int main() {
	ios::sync_with_stdio(0);
    cin.tie(0);

    ld n, L; cin >> n >> L;
    points.resize(n);

    for (ll i{}; i < n; i++){
        ld x, y; cin >> x >> y;
        points[i] = {x,y};
    }

    ld l = 0, r = L, eps = 1e-9;

    while (r-l > eps){
        ld m1 = l + (r-l)/3;
        ld m2 = r - (r-l)/3;
        ld f1 = f(m1);
        ld f2 = f(m2);

        if (f2 > f1) l = m1;
        else r = m2;
    }

    cout << fixed << setprecision(6) << sqrt(f(l));
}

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