return $string . reverse $string;
That only generates even length palindromes. I instead suggest
return (
$string
. ( rand < .5 ? $letters[ rand @letters ] : '' )
. reverse $string
);
Also, Don't Repeat Yourself. That's far too much copy-paste code there. Look at the benchmark script I wrote: much less code, and it tells you exactly which input strings each solution failed on and what it produced instead.
Makeshifts last the longest.
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