Ah, stupid USA money. Us foreign devils what don't use American money aren't aware of the quirky distribution of the denominations of notes and the OP doesn't actually mention what is available.
It is interesting to note that the addition of 2 dollar denomination increases the opportunity for making $100 by an order of magnitude.
Minor point, your "original" and "change to" lines are swapped.
Update later answers say there ought be a $2 bill. I stick by my original answer.
DWIM is Perl's answer to Gödel
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