Candy Sharing Game

The input may describe more than one game. For each game, the input begins with the number N of students,followed by N candy counts for the children counter-clockwise around the circle.  Each input number is on a line by itself.

For each game, output the number of rounds of the game followed by the amount of candy each child ends up with,both on one line. 

The game ends in a finite number of steps because:
1. The maximum candy count can never increase.
2. The minimum candy count can never decrease.
3. No one with more than the minimum amount will ever decrease to the minimum.
4. If the maximum and minimum candy count are not the same, at least one student with the minimum amount must have their count increase