Submission #168809

#	Time	Username	Problem	Language	Result	Execution time	Memory
168809		MohamedAhmed04	Mobile (BOI12_mobile)	C++14	12 / 100	1093 ms	8964 KiB

mobile

#include <bits/stdc++.h>

using namespace std ;

const int MAX = 1e5 + 10 ;
long double x[MAX] , y[MAX] ;
int n ;
long double l;

bool check(long double radius)
{
	long double now = 0.00 ;
	for(int i = 0 ; i < n ; ++i)
	{
		long double a = sqrt(radius * radius - ((-y[i]) * (-y[i]))) + x[i] ;
		long double b = -sqrt(radius * radius - ((-y[i]) * (-y[i]))) + x[i] ;
		if(a > b)
			swap(a , b) ;
		if(a <= now)
			now = max(now , b) ;

	}
	return (now >= l) ;
}

int main()
{
	ios_base::sync_with_stdio(0) ;
	cin.tie(0) ;
	cin>>n>>l ;
	for(int i = 0 ; i < n ; ++i)
		cin>>x[i]>>y[i] ;
	long double low = 0.000 , high = 1e12 ;
	long double ans = high ;
	for(int i = 0 ; i < 300 ; ++i)
	{
		long double mid = (low + high) / 2.00 ;
		if(check(mid))
			ans = mid , high = mid ;
		else
			low = mid ;
	}
	return cout<<fixed<<setprecision(6)<<ans<<"\n" , 0 ;
}		

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