From 4b019a9f2e33609c11fa5934a7a394df15b844c3 Mon Sep 17 00:00:00 2001 From: MitchellHansen Date: Sat, 6 Feb 2016 19:43:42 -0800 Subject: [PATCH] NOTHIN QUITE LIKE 10,000 HARD CODED PRIMES! --- problem_12.py | 698 +++++++++++++++++++++++++++++++++++++++++++++++++- 1 file changed, 684 insertions(+), 14 deletions(-) diff --git a/problem_12.py b/problem_12.py index ad51aeb..d9a132e 100644 --- a/problem_12.py +++ b/problem_12.py @@ -1,23 +1,693 @@ import math +from array import array +from collections import Counter + #find the first triangle number with over five hundred divisors -def countDivisors(number): - count = 0 - for i in range (1, int(math.sqrt(number))): - if number % i == 0: - count += 1 - return count +first_few_primes = [ 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, + 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, + 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, + 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, + 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, + 233, 239, 241, 251, 257, 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63353, 63361, 63367, + 63377, 63389, 63391, 63397, 63409, 63419, 63421, 63439, 63443, 63463, + 63467, 63473, 63487, 63493, 63499, 63521, 63527, 63533, 63541, 63559, + 63577, 63587, 63589, 63599, 63601, 63607, 63611, 63617, 63629, 63647, + 63649, 63659, 63667, 63671, 63689, 63691, 63697, 63703, 63709, 63719, + 63727, 63737, 63743, 63761, 63773, 63781, 63793, 63799, 63803, 63809, + 63823, 63839, 63841, 63853, 63857, 63863, 63901, 63907, 63913, 63929, + 63949, 63977, 63997, 64007, 64013, 64019, 64033, 64037, 64063, 64067 ] + +def primeFactorization(number): + scratch = number + prime_index = 0 + + factorization_list = array("i") + + while scratch != 1: + if scratch % first_few_primes[prime_index] == 0: + factorization_list.append(first_few_primes[prime_index]) + scratch /= first_few_primes[prime_index] + prime_index = 0 + else: + prime_index += 1 + + return factorization_list + running = True counter = 1 -while(running): - sum = 0 - for i in range(0, counter + 1): - sum += i - if countDivisors(sum) > 400: - print(counter) - running = False - counter += 1 +try: + while(running): + + #find the triangle of the count + sum = 0 + for i in range(0, counter + 1): + sum += i + + #get the counts of the prime factorization + counts = dict(Counter(primeFactorization(sum))) + + product = 1 + for key in counts: + product *= (counts[key] + 1) + + if product > 500: + break + else: + counter += 1 +except IndexError: + print("Out of primes") print(counter) +print(sum)