'''
Created on 23.05.2012
@author: AN
'''
from pylib import nums
primes = [p for p in nums.primes_sieve(12000)]
factorization = {i: nums.factorize(i, primes) for i in xrange(2, 12001)}
set_factorization = nums.factorize_to_set(factorization)
print nums.euler_phi(9, set_factorization)
'''
Created on 23.05.2012
@author: AN
'''
from pylib import nums
primes = [p for p in nums.primes_sieve(13)]
cache = {}
def dp(n, index):
prime = primes[index]
sq = prime * prime
if sq > n:
return 0
if (n, index) in cache:
return cache[(n, index)]
else:
result = dp(n / sq, index)
if index < len(primes) - 1:
result += dp(n, index + 1)
cache[(n, index)] = result
return result
print dp(12, 0)