Solution: Longest Happy String

Explore how to construct the longest happy string by managing character frequencies with a max heap. Understand constraints to avoid three consecutive identical characters and learn to apply heap operations to build valid strings efficiently.

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Statement
Solution
- Time complexity
- Space complexity

Statement

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

It comprises only the characters 'a', 'b', and 'c'.
It does not contain the substrings "aaa", "bbb", or "ccc".
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 occurrences of 'a', 'b', and 'c', respectively. Your task is to return the longest possible happy string. If there are multiple valid longest happy strings, return any one of them. If no such string can be formed, return an empty string "".

Note: A substring is a contiguous sequence of characters within a string.

Constraints:

$0 \leq$ a, b, c $\leq 100$
$a + b + c > 0$ ...