Longest Happy String

Statement

A string is considered happy if it meets the following conditions:

1. It comprises only the characters 'a', 'b', and 'c'.

2. It does not contain the substrings "aaa", "bbb", or "ccc".

3. The total occurrences of:

   1. The character 'a' does not exceed a.

   2. The character 'b' does not exceed b.

   3. The character 'c' does not exceed c.

You are given three integers, a, b, and c, representing the maximum allowable ...