""" 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__)) wordsFilePath = os.path.join(script_dir, "words.txt") words = "" with open(wordsFilePath, "r") as f: words = f.readline() words = list(map(lambda word: word.strip('"'), words.strip("\r\n").split(","))) words = list( filter( lambda word: word in TRIANGULAR_NUMBERS, map(lambda word: sum(map(lambda x: ord(x) - 64, word)), words), ) ) return len(words) if __name__ == "__main__": print(solution())