# -*- coding: utf-8 -*-
# vim: ai ts=4 sts=4 et sw=4
"""
145 is a curious number, as 1! + 4! + 5! = 1 + 24 + 120 = 145.
Find the sum of all numbers which are equal to the sum of the
factorial of their digits.
Note: as 1! = 1 and 2! = 2 are not sums they are not included.
"""
from fast_prime import factorial
facts = dict((n, factorial(n)) for n in range(10))
def solve():
s = 0
for n in xrange(3, 100000):
if sum((facts[int(d)] for d in str(n))) == n:
s+=n
print n
if n % 1000000 == 0:
print n
print "Answer: ", s
#test()
solve()
c = count_factors(n)
n += 10
if c > highest[0]:
highest = (c, n)
print n-1
if __name__=="__main__":
## for s in solutions(4):
## print '1/%i + 1/%i = 1/%i' % s
assert solutions(4) == 3
if 0:
import cProfile
cProfile.run('solve()')
elif 0:
f = factorial(12)
f2 = factorial(13)
print f, f2
print f2 - f
print len([n for n in primes_in_range(f+1, f+10000)])
elif 0:
factor_search(50)
elif 1:
solve(1000000)
elif 0:
import time
def cfs():
c = 1
vals = []
while c < 10000:
vals.append(count_factors(c))
""" 2007-12-20 n! means n (n 1) ... 3 2 1 Find the sum of the digits in the number 100! """ import psyco psyco.full() from fast_prime import factorial print sum(map(int, [l for l in str(factorial(100))])) # 648
