The #814 Le Monde math puzzle was to find 100 digits (between 1 and 10) such that their sum is equal to their product. Given the ten possible values of those digits, this is equivalent to finding integers a1,…,a10 such that a1+…+a10=100 and a1+2a2+…+10a10=2a2x….x10a10, which reduces the number of unknowns from 100 to 10 (or