The 42nd meeting of the Fortnightly Palindrome Convention is coming up, and for this special occasion, they want to spend a session admiring a special kind of palindrome-esque words. These words are not necessarily a palindrome by themselves, but they should contain an exact, predetermined number of palindrome substrings. As preparation for the session, your task is to generate these palindrome-esque words.
As an example, consider the second sample input. The output abacaba contains exactly $12$ palindrome substrings: the seven individual letters, two times aba (at the start and at the end), aca, bacab, and abacaba.
The input consists of:
Output a string that contains exactly $s$ palindrome substrings. This string should have length between $1$ and $10^5$ characters (inclusive) and only consists of English lowercase letters (a-z).
If there are multiple valid solutions, you may output any one of them.