By defining the limits of the problem in terms of the physical size of the JAPH you have immediately demonstrated that there is a finite number of solutions even if the number is large.
Removing the size limitation will allow you to write an infinite number of JAPHs because you only need to add more code. You could for example write:
print "Just another Perl hacker,";
print "Just another Perl hacker,";;
print "Just another Perl hacker,";;;
# add more semi-colons as necessary
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