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Problem42.py
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Problem42.py
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"""
Coded triangle numbers
Problem 42
The nth term of the sequence of triangle numbers is given by, tn = 1/2n(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?
"""
from timeit import default_timer
import csv
def get_words():
words = []
with open('Problem42_words.txt', 'r') as file:
reader = csv.reader(file)
for row in reader:
words += row
break
return words
def is_triangle_word(word):
value = 0
for letter in word:
value += ord(letter) - 64
value_to_test = (8*value + 1) ** 0.5
return value_to_test - int(value_to_test) == 0
def main():
words = get_words()
count = 0
for word in words:
if is_triangle_word(word):
count += 1
print(count)
return 0
if __name__ == '__main__':
start = default_timer()
main()
print(u"Runtime: {0} ms".format((default_timer() - start) * 1000))