Piles of Stones
Source: ToT - 2001 Spring Junior A-Level #2
August 17, 2011
number theorygreatest common divisornumber theory unsolved
Problem Statement
In three piles there are , and stones, respectively. You can combine any two piles into one pile or divide a pile consisting of an even number of stones into two equal piles. Is it possible to get piles with one stone in each?