Question 49
There are infinitely many bowls arranged on the number line, one at each integer. Initially each bowl has one fruit in it. In a move, one may take any fruit and move it to an adjacent bowl (bowls may hold more than one fruit, or no fruits at all).
Is it possible that after 999 moves, every bowl still has exactly one fruit remaining?
Is it possible that after 999 moves, every bowl still has exactly one fruit remaining?