gistfile1.md

Reversibles

Set by Tom Smith and Michael Cronnelly

Languages Allowed

• JavaScript
• PHP
• Java
• C#
• Ruby
• Python,

Problem

Some positive integers n have the property that the sum of (n + reverse(n)) consists entirely of odd digits.

For instance:

When n = 36 then 36 + 63 = 99
When n = 409 then 409 + 904 = 1313

We will call such numbers reversible; so 36, 63, 409, and 904 are reversible.

If the reverse of n has a leading zero then n is not considered reversible.

For instance:

10 + 01 is ignored and 10 is not

There are 120 reversible numbers below 1000.

What you need to do

Develop a solution that can take any integer as an upper limit and returns all the reversible numbers from 1 to the upper limit, as an array.