Project Euler problem 9

problem9.rb

 found = false

 (1..1E3).each { |x|
   (1..1E3).each { |y|
     puts "a = #{x}, b = #{y}, c = #{1000 - x - y}, product = #{x * y * (1000 - x - y)}"
     found = true if x ** 2 + y ** 2 == (1000 - x - y) ** 2
     break if found
   }
   break if found
 }

problem9false.rb

# Problem 9
# A Pythagorean triplet is a set of three natural numbers, a  b  c, for which,
# a^2 + b^2 = c^2
# For example, 3^2 + 4^2 = 9 + 16 = 25 = 5^2.
# There exists exactly one Pythagorean triplet for which a + b + c = 1000.
# Find the product abc.

 found = []

 (1..1E3).each { |x|
   (1..1E3).each { |y|
     puts "a = #{x}, b = #{y}, c = #{1000 - x - y}, product = #{x * y * (1000 - x - y)}"
     found << [x, y, (1000 - x - y)] if x ** 2 + y ** 2 == (1000 - x - y) ** 2
   }
 }
 
 p found.inspect