MathDB
Math Prize 2016 Problem 3

Source:

September 12, 2016
Math Prize for Girls

Problem Statement

Compute the least possible value of ABCDAB×CDABCD - AB \times CD, where ABCDABCD is a 4-digit positive integer, and ABAB and CDCD are 2-digit positive integers. (Here AA, BB, CC, and DD are digits, possibly equal. Neither AA nor CC can be zero.)