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What's left after repeatedly removing palindromes

Sometimes a string has buried palindromes in it:

hallolilah contains lol.

And if we took out lol, we'd be left with halilah...which is another palindrome.

Write a program/function that returns the minimum letters left over after repeatedly removing palindromes of at least 3 letters.

Possibly the order in which palindromes are removed affects the number of letters remaining, hence "minimum".

Input

A string of lowercase letters.

Output

A string of leftover lowercase letters.

Scoring

Code golf

Sample data

bazookabambino => bazookmbino

bamalamacocob => `` (empty string)

boofrooracecarnaanoorfood => bd

gogogogogogogogogonow => w

nopalindromesinthisone => nopalindromesinthisone

canacandothecancan => cadothecancan or andothecancan

acaaaab => b

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