You have a simple (base-ten, whole number) calculator which can perform only two operations: visually reversing a number, and adding seven.
Prove that you can use this calcluator to convert any number to 1.
Notation: use ~ to denote reversal, as in
~53 = 35
(In reply to
re: Straightforward , but not so "executable" Solution by Ady TZIDON)
Do you have to be so practical-minded? The problem statement only asks: "Prove that you can use this calcluator to convert any number to 1. " I really don't care about the wear and tear on the operator's finger -- the operator here is as imaginary as the calculator!
|
Posted by Richard
on 2004-02-24 11:44:04 |