Solution: Longest Happy String

Understand how to apply the heaps pattern to build the longest happy string containing only 'a', 'b', and 'c' without three consecutive identical characters. Explore how to manage character frequencies efficiently, prioritize selections with a max heap, and ensure constraints are met while maximizing string length.

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