Minimize the Absolute Difference with Minimum Swaps

Problem Statement

In this task you are given two strings of digits that represent (possibly very large) integers. Your goal is to make those numbers as close to one another as possible. In other words, you want to minimize the absolute value of their difference. You can swap some of the corresponding digits (e.g. the first digit of the first number with the first digit of the second number, the second digit of the first number with the second digit of the second number, etc.). Swapping the digits is an extremely tiring task, so you want to make as few swaps as possible. Write a function: def solution(S, T) that, given two strings S and T, both of length N, returns the minimum number of swaps needed to minimize the difference between the two numbers represented by the input strings. For example, given S="29162" and T="10524" your function should return 2. We can swap the second and the fourth digits and obtain "20122" and "19564". The difference between the numbers is 558 and the number of swaps is 2. On