en:algo:babbageproblem - added TAV program

Charles Babbage wrote 1837: "What is the smallest positive integer whose square ends in the digits 269,696?" A solution within the features of the Analytical Engine (AE) would be appropriate, so there is no string processing and no floating-point numbers, no built-in square-root, and the remainder of a division used to determine the trailing digits. The (integral or fixed-point) numbers were…