Express 314159265358979323846 as a sum of positive palindromes, the idea being to use as few summands as you can.
To find this solution I thought of how I could generate one digit at a time like in the solution for "Move the 2 - double the number". I assumed that one palindrome would have the same number of digits as the sum and the second number would have one less digit. Then I started at the outside and worked my way to the center. Sometimes a carry would throw things off and I had to backtrack a couple of steps to make the sum work.