<|file_name|>problem404.py<|end_file_name|><｜fim▁begin｜>﻿# -*- coding: utf-8 -*-
# ProjectEuler/src/python/problem404.py
#
# Crisscross Ellipses
# ===================
# Published on Sunday, 2nd December 2012, 01:00 am
#
# Ea is an ellipse with an equation of the form x2 + 4y2 = 4a2.  Ea' is the
# rotated image of Ea by θ degrees counterclockwise around the origin O(0, 0)
# for 0°  θ  90°.       b is the distance to the origin of the two intersection
# points closest to the origin and c is the distance of the two other
# intersection points.  We call an ordered triplet (a, b, c) a canonical
# ellipsoidal triplet if a, b and c are positive integers.  For example, (209,
# 247, 286) is a canonical ellipsoidal triplet.     Let C(N) be the number of
# distinct canonical ellipsoidal triplets (a, b, c) for a  N.  It can be
# verified that C(103) = 7, C(104) = 106 and C(106) = 11845.     Find C(1017).

import projecteuler as pe

def main():
    pass

if __name__ == "__main__":
    main()    <|fim_middle|>
<｜fim▁end｜>