# Find the maximum total from top to bottom of the triangle below.
#
# URL: https://projecteuler.net/problem=18

require_relative '../lib/enumerable'

$triangule_18 = [
  [75],
  [95, 64],
  [17, 47, 82],
  [18, 35, 87, 10],
  [20,  4, 82, 47, 65],
  [19,  1, 23, 75,  3, 34],
  [88,  2, 77, 73,  7, 63, 67],
  [99, 65,  4, 28,  6, 16, 70, 92],
  [41, 41, 26, 56, 83, 40, 80, 70, 33],
  [41, 48, 72, 33, 47, 32, 37, 16, 94, 29],
  [53, 71, 44, 65, 25, 43, 91, 52, 97, 51, 14],
  [70, 11, 33, 28, 77, 73, 17, 78, 39, 68, 17, 57],
  [91, 71, 52, 38, 17, 14, 91, 43, 58, 50, 27, 29, 48],
  [63, 66,  4, 68, 89, 53, 67, 30, 73, 16, 69, 87, 40, 31],
  [ 4, 62, 98, 27, 23,  9, 70, 98, 73, 93, 38, 53, 60,  4, 23]
]

def problem_18(triangule = $triangule_18)
  limite = (2 ** triangule.size) - 1

  (0..limite).step(2).max_map do |cociente|
    indice = 0

    sumatoria = triangule.sum_map do |array|
      cociente, resto = cociente.divmod(2)
      indice += resto
      array[indice]
    end
  end
end
