gistfile1.rb

#project_euler problem_56
#A googol (10**100) is a massive number: one followed by one-hundred zeros; 100**100 is almost unimaginably large: one followed by two-hundred zeros. Despite their size, the sum of the digits in each number is only 1.

#Considering natural numbers of the form, ab, where a, b  100, what is the maximum digital sum?
sum_of_digits =->(a,b){ (a**b).to_s.split('').collect(&:to_i).inject(&:+) }
max_of =->(y, z){ y > z ? y : z}
for a in (1..99)
  for b in (1..99)
    @max = max_of.(sum_of_digits.(a,b), @max ||= 0)
  end
end

p @max