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"""
Scott Santarromana
projecteuler034 - digit factorials

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 math import factorial

def init_fact_dict():
    return {0:1,1:1,2:2,3:6,4:24,5:120,6:720,7:5040,8:40320,9:362880}

def sum_facts_of_digits(max):
    facts = init_fact_dict() 
    for idx in range(max):
        f2 = 0
        for c in str(idx):
            if f2 > idx:
                break
            f2 += facts[int(c)]
        if idx == f2:
            print idx

sum_facts_of_digits(9999999)