Statement

Luca is going to Bologna by train to attend the grand final of OIS's current edition, but a recent accident blocked the high-speed railway and made the journey way longer. To kill time, Luca loves to solve some puzzles and he is now working on an interesting one. In this kind of puzzle, you are given a simple sum of two integers numbers and the result of this addition, but there is one caveat. Operands' digits have been substituted with letters, like in the next example, following a rule commonly known as "same digit, same letter". A B + C A = 5 8\phantom = More precisely, this means that every digit from 0 to 9 has been linked to an uppercase letter from A to J and every occurrence has been substituted with that letter. Moreover, the mapping always links different digits to different letters and vice versa, so that no two digits have the same associated letter and that no two letters are associated with the same digit...