def parse_words
  file = File.open('p042_words.txt')
  words = file.read.delete('"').split(',')
  file.close
  words
end

def perfect_square?(n)
  Math.sqrt(n) % 1 == 0
end

def triangle_number?(n)
  perfect_square?((8 * n) + 1)
end

ALPHABET = {
  'A' => 1,
  'B' => 2,
  'C' => 3,
  'D' => 4,
  'E' => 5,
  'F' => 6,
  'G' => 7,
  'H' => 8,
  'I' => 9,
  'J' => 10,
  'K' => 11,
  'L' => 12,
  'M' => 13,
  'N' => 14,
  'O' => 15,
  'P' => 16,
  'Q' => 17,
  'R' => 18,
  'S' => 19,
  'T' => 20,
  'U' => 21,
  'V' => 22,
  'W' => 23,
  'X' => 24,
  'Y' => 25,
  'Z' => 26
}

def triangle_word?(word)
  triangle_number?(word.split('').map { |c| ALPHABET[c] }.inject(:+))
end

def count_triangle_words
  parse_words.select { |w| triangle_word?(w) }.count
end