gistfile1.rb

require 'benchmark'

NUM_ROWS = 23

T = (1..NUM_ROWS).map do |row_index|
  (1..row_index).map { rand(100) }
end

#T = DATA.readlines("\n").map {|x| x.split(' ').map {|i| i.to_i}}

def max_sum(row,item)
  if T[row+1]
    [ T[row][item] + max_sum((row+1),item), 
      T[row][item] + max_sum((row+1),(item+1))].max
  else
    T[row][item]
  end
end

def flatten_with_sums(triangle)
  row_index = triangle.length - 2
  while row_index >= 0
    row = triangle[row_index]
    next_row = triangle[row_index + 1]
    row.each_with_index do |value, index|
      row[index] = [value + next_row[index], value + next_row[index + 1]].max
    end
    row_index -= 1
  end
  triangle
end

puts 'top-down'
puts Benchmark.measure { puts max_sum(0,0) }

puts 'bottom-up'
puts Benchmark.measure { puts flatten_with_sums(T).first.first }



__END__
75
95 64
17 47 82
18 35 87 10
20 04 82 47 65
19 01 23 75 03 34
88 02 77 73 07 63 67
99 65 04 28 06 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 04 68 89 53 67 30 73 16 69 87 40 31
04 62 98 27 23 09 70 98 73 93 38 53 60 04 23