My try to problem D of Google Code Jame QR 2018

d.py

import sys, copy;
import math;

def solve(a):
    alpha = math.asin(a*a-1)/2;
    print alpha
    print math.cos(alpha)/2
    print math.sin(alpha)/2
    print -math.cos(alpha)/2, math.sin(alpha)/2, .5
    print -math.sin(alpha)/2, -math.cos(alpha)/2, .5
    print 0, 0, .5

t = int(raw_input())
for i in range(1, t + 1):
    a = float(raw_input())
    print "Case #" + str(i) + ": " ;
    solve(a)