Python/project_euler/problem_042/solution42.py
CenTdemeern1 04698538d8
Misc fixes across multiple algorithms (#6912)
Source: Snyk code quality
Add scikit-fuzzy to requirements

Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>
Co-authored-by: Dhruv Manilawala <dhruvmanila@gmail.com>
2022-10-16 10:55:38 +05:30

47 lines
1.3 KiB
Python

"""
The nth term of the sequence of triangle numbers is given by, tn = ½n(n+1); so
the first ten triangle numbers are:
1, 3, 6, 10, 15, 21, 28, 36, 45, 55, ...
By converting each letter in a word to a number corresponding to its
alphabetical position and adding these values we form a word value. For example,
the word value for SKY is 19 + 11 + 25 = 55 = t10. If the word value is a
triangle number then we shall call the word a triangle word.
Using words.txt (right click and 'Save Link/Target As...'), a 16K text file
containing nearly two-thousand common English words, how many are triangle
words?
"""
import os
# Precomputes a list of the 100 first triangular numbers
TRIANGULAR_NUMBERS = [int(0.5 * n * (n + 1)) for n in range(1, 101)]
def solution():
"""
Finds the amount of triangular words in the words file.
>>> solution()
162
"""
script_dir = os.path.dirname(os.path.realpath(__file__))
words_file_path = os.path.join(script_dir, "words.txt")
words = ""
with open(words_file_path) as f:
words = f.readline()
words = [word.strip('"') for word in words.strip("\r\n").split(",")]
words = [
word
for word in [sum(ord(x) - 64 for x in word) for word in words]
if word in TRIANGULAR_NUMBERS
]
return len(words)
if __name__ == "__main__":
print(solution())