Project euler #38
30 Novembre 2012
Take the number 192 and multiply it by each of 1, 2, and 3: 192 × 1 = 192 192 × 2 = 384 192 × 3 = 576 By concatenating each product we get the 1 to 9 pandigital, 192384576. We will call 192384576 the concatenated product of 192 and (1,2,3) The same can be achieved by starting with 9 and multiplying by 1, 2, 3, 4, and 5, giving the pandigital, 918273645, which is the concatenated product of 9 and (1,2,3,4,5). What is the largest 1 to 9 pandigital 9-digit number that can be formed as the concatenated product of an integer with (1,2, ... , n) where n > 1?
python:
import time ts = time.time() def is_pandigital(n): digits = range(1,10) num = [int(n) for n in str(n)] num.sort() return num == digits panmax = 123456789 # min 1-9 pandigital for n in xrange(1, 10000): res = '' for m in xrange(1, 10): res += str(n * m) if len(res) == 9 and is_pandigital(res): if int(res) > panmax: panmax = int(res) print panmax print time.time() - ts
Categorie:Project Euler, python
Commenti recenti