402166: GYM100685 C Cinderella

Cinderella is given a task by her Stepmother before she is allowed to go to the Ball. There are N (1 ≤ N ≤ 1000) bottles with water in the kitchen. Each bottle contains L_i (0 ≤ L_i ≤ 10⁶) ounces of water and the maximum capacity of each is 10⁹ ounces. To complete the task Cinderella has to pour the water between the bottles to fill them at equal measure.

Cinderella asks Fairy godmother to help her. At each turn Cinderella points out one of the bottles. This is the source bottle. Then she selects any number of other bottles and for each bottle specifies the amount of water to be poured from the source bottle to it. Then Fairy godmother performs the transfusion instantly.

Please calculate how many turns Cinderella needs to complete the Stepmother's task.

The first line of input contains an integer number N (1 ≤ N ≤ 1000) — the total number of bottles.

On the next line integer numbers L_i are contained (0 ≤ L_i ≤ 10⁶) — the initial amount of water contained in i^th bottle.

Output a single line with an integer S — the minimal number of turns Cinderella needs to complete her task.

3
5 7 7

2

3
21 10 2012

1

1
100

0