#include<bits/stdc++.h>
using namespace std ;
const float N = sqrt(2)+1 ;
double x[3000];
int main(){
ios_base::sync_with_stdio(0) ; cin.tie(0) ;
x[1] = 2014.000 ;
for(int i = 2 ; i < 3000 ; i++){
x[i] = ((N*x[i-1])-1)/(N + x[i-1]) ;
}
cout << x[2015] ;
}
I2luY2x1ZGU8Yml0cy9zdGRjKysuaD4KdXNpbmcgbmFtZXNwYWNlIHN0ZCA7IApjb25zdCBmbG9hdCBOID0gc3FydCgyKSsxIDsgCmRvdWJsZSB4WzMwMDBdOyAKaW50IG1haW4oKXsKCWlvc19iYXNlOjpzeW5jX3dpdGhfc3RkaW8oMCkgOyBjaW4udGllKDApIDsgCgl4WzFdID0gMjAxNC4wMDAgOyAKCWZvcihpbnQgaSA9IDIgOyBpIDwgMzAwMCA7IGkrKyl7CgkJeFtpXSA9ICgoTip4W2ktMV0pLTEpLyhOICsgeFtpLTFdKSA7IAoJfQoJY291dCA8PCB4WzIwMTVdIDsgCn0=