standupmaths_a4paper_folded.py

from math import sqrt
from time import time


def standup_hash(i):
    first_six_dp = str(sqrt(sqrt(sqrt(sqrt(sqrt(i)))))).split('.')[1][:6]
    nums = [x for x in first_six_dp]
    nums.sort()
    return ''.join(nums)


if __name__ == '__main__':
    start = time()
    for i in range(100):
        if standup_hash(i) == '023447':
            print 'brute force', (i * 1.0)
    print 'time for brute force %.06f' % (time() - start) 
    
    #       
    #     /|\b
    #    / | \
    #  a/  |--\
    #  /   |   |c
    # /    | e |
    # ---------
    #     d
    start = time()
    a = sqrt(pow(1, 2) + pow(1, 2))
    d = sqrt(2)
    e = d - 1
    c = 1 - e
    b = sqrt(pow(e, 2) + pow(e, 2))

    print 'actual result', a + b + c + d
    print 'time for real %.06f' % (time() - start)