Submission #829479

#	Time	Username	Problem	Language	Result	Execution time	Memory
829479		soumyojit_sen	Mobile (BOI12_mobile)	C++14	0 / 100	663 ms	24616 KiB

mobile

#include <bits/stdc++.h>
using namespace std;
vector<pair<int,int>> pts;
int n,L;

bool works(double d){
	double left = DBL_MIN, right = DBL_MAX;

	for(int i = 0; i < n; i++){
		left = max(left, pts[i].first - sqrt(d*d - pts[i].second*pts[i].second));
		right = min(right, pts[i].first + sqrt(d*d - pts[i].second*pts[i].second));
	}
	return left <= right;
}

int main() {
	cin >> n >> L;
	pts.resize(n);
	for(int i = 0; i < n; i++) cin >> pts[i].first >> pts[i].second;

	double bad = -1.0;
	double good = 2e9;
	for(int i = 0; i < 60; i++){
		double mid = bad + (good - bad)/2.0;
		if(works(mid)){
			good = mid;
		} else {
			bad = mid;
		}
	}
	cout << fixed << setprecision(6) << good;
}

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