'''
Created on Jan 27, 2013
@author: PaymahnMoghadasian
'''
import CommonFunctions as cf
import itertools as it
LOWER = 1000
UPPER = 9999
valid_nums = cf.generate_heptagonals(UPPER, lower=LOWER) + cf.generate_hexagonals(UPPER, lower=LOWER) + cf.generate_octagonals(UPPER, lower=LOWER) + \
cf.generate_pentagonals(UPPER, lower=LOWER) + cf.generate_squares(UPPER, lower=LOWER) + cf.generate_triangulars(UPPER, lower=LOWER)
valid_nums = set(x for x in valid_nums if '0' not in str(x))
t = [0] * 6
ordered_set = [0] * 6
for num in valid_nums:
valid_triplet = []
first_two = num / 100
last_two = num % 100
for x in valid_nums:
if x % 100 == first_two:
middle_num = last_two*100 + x / 100
if middle_num in valid_nums:
valid_triplet.append((num, middle_num, x))
