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"aaaa" =~ /a*a*b/

"aaaa" =~ m/ (a*) (a*) (?{ print "Tried $`($1)($2)\n"; }) (?!) /x;

Tried (aaaa)()
Tried (aaa)(a)
...
Tried aaa()(a)
Tried aaa()()
Tried aaaa()()

24670925422945900903156716 (= 2e25)