# Solution of;
# Project Euler Problem 525: Rolling Ellipse
# https://projecteuler.net/problem=525
# 
# An ellipse E(a, b) is given at its initial position by equation:$\frac {x^2} 
# {a^2} + \frac {(y - b)^2} {b^2} = 1$The ellipse rolls without slipping along 
# the x axis for one complete turn. Interestingly, the length of the curve 
# generated by a focus is independent from the size of the minor axis:$F(a,b) 
# = 2 \pi \text{ } max(a,b)$This is not true for the curve generated by the 
# ellipse center. Let C(a,b) be the length of the curve generated by the 
# center of the ellipse as it rolls without slipping for one turn. You are 
# given C(2, 4) ~ 21. 38816906. Find C(1, 4) + C(3, 4). Give your answer 
# rounded to 8 digits behind the decimal point in the form ab. cdefghij.
# 
# by lcsm29 http://github.com/lcsm29/project-euler
import timed


def dummy(n):
    pass


if __name__ == '__main__':
    n = 1000
    i = 10000
    prob_id = 525
    timed.caller(dummy, n, i, prob_id)
