G 20
Source:
May 25, 2007
floor functionlogarithmsIrrational numbers
Problem Statement
You are given three lists A, B, and C. List A contains the numbers of the form in base 10, with any integer greater than or equal to 1. Lists B and C contain the same numbers translated into base 2 and 5 respectively: Prove that for every integer , there is exactly one number in exactly one of the lists B or C that has exactly digits.