Question 103
Integers from $1$ to $80$ are written on a blackboard. Tom and Jerry play the following game. They, in turn (Tom is the first), erase these numbers. Per move it is allowed to erase exactly $1$, or exactly $5$, or exactly $8$ numbers. The player wins if he erases the last number.
Who wins if both of the players play to win?
Who wins if both of the players play to win?