Question: Suppose an ATM machine has only two dollar and seven dollar bills. You can type in the amount you want, and it will figure out

 Suppose an ATM machine has only two dollar and seven dollar

Suppose an ATM machine has only two dollar and seven dollar bills. You can type in the amount you want, and it will figure out how to divide things up into the proper number of twos and sevens. Claim: the ATM machine can generate any output by induction

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