Rename Project Euler directories and other dependent changes (#3300)

* Rename all Project Euler directories:

Reason:
The change was done to maintain consistency throughout the directory
and to keep all directories in sorted order.

Due to the above change, some config files had to be modified:
'problem_22` -> `problem_022`

* Update scripts to pad zeroes in PE directories
This commit is contained in:
Dhruv
2020-10-15 12:43:28 +05:30
committed by GitHub
parent 2d7e08ef83
commit 44254cf112
177 changed files with 108 additions and 112 deletions

View File

@@ -0,0 +1,47 @@
"""
Highly divisible triangular numbers
Problem 12
The sequence of triangle numbers is generated by adding the natural numbers. So
the 7th triangle number would be 1 + 2 + 3 + 4 + 5 + 6 + 7 = 28. The first ten
terms would be:
1, 3, 6, 10, 15, 21, 28, 36, 45, 55, ...
Let us list the factors of the first seven triangle numbers:
1: 1
3: 1,3
6: 1,2,3,6
10: 1,2,5,10
15: 1,3,5,15
21: 1,3,7,21
28: 1,2,4,7,14,28
We can see that 28 is the first triangle number to have over five divisors.
What is the value of the first triangle number to have over five hundred
divisors?
"""
def triangle_number_generator():
for n in range(1, 1000000):
yield n * (n + 1) // 2
def count_divisors(n):
return sum([2 for i in range(1, int(n ** 0.5) + 1) if n % i == 0 and i * i != n])
def solution():
"""Returns the value of the first triangle number to have over five hundred
divisors.
# The code below has been commented due to slow execution affecting Travis.
# >>> solution()
# 76576500
"""
return next(i for i in triangle_number_generator() if count_divisors(i) > 500)
if __name__ == "__main__":
print(solution())