solution to problem 57

ruby/euler057.rb

@@ -0,0 +1,17 @@
+require_relative 'euler'
+
+def root_two_expansion(iterations)
+  1 + Rational(1,decimal_expansion(iterations))
+end
+
+def decimal_expansion(iterations)
+  if iterations == 0
+    return 2
+  else
+    return 2 + Rational(1,decimal_expansion(iterations - 1))
+  end
+end
+
+def solution
+  (0..999).map { |n| root_two_expansion(n) }.count { |r| r.numerator.to_digit_list.count > r.denominator.to_digit_list.count }
+end