2003 KJMO P8
Source: 2003 KJMO
June 29, 2024
number theoryStick
Problem Statement
On a long metal stick, red marbles are embedded in the stick so the stick is equally partitioned into parts by them. blue marbles are embedded in the stick too, so the stick is equally partitioned into parts by them. If you cut the metal stick equally into smaller parts, how many of the smaller parts would contain at least one embedded marble?