Question 1
Given 100 infinitely large boxes with markers in them, the following procedure is carried out. At step 1 one adds one marker in every box. At step 2 one marker is added in every box containing an even number of markers. At step 3 one marker is added in every box in which the number of markers is divisible by 3, and so on.
Before the process starts Bruno wants to distribute several markers in the boxes so that there is at least one marker in each box and the following holds: After any number of steps there exist two boxes containing different number of markers. Decide if this is possible to achieve.
Before the process starts Bruno wants to distribute several markers in the boxes so that there is at least one marker in each box and the following holds: After any number of steps there exist two boxes containing different number of markers. Decide if this is possible to achieve.