friends over for a party!

has managed to survive his first semester English course so far. To celebrate, he invitedFor dessert, he decided to cut ~~ some cheesecake. 's friends are greedy. As soon as he finished, his friends grabbed all the slices that they could. is a strong proponent of equality, so he would like to redistribute the slices such that each friend gets the same amount. He will do this by persuading a friend with the maximum number of slices to give slice to a friend with the minimum number of slices, and repeating this process until the slices are equally distributed. Since 's friends are also stubborn, so it will take him minute to convince them each time.~~

wants to know how long it will take for him to evenly distribute the cheesecake slices.

#### Input Specification

The first line of input will contain , the number of friends.

The next line will contain space-separated nonnegative integers, the number of slices that each friend grabbed. Each friend will have no more than slices. (It's a really big cheesecake)

#### Output Specification

Output one integer, the number of minutes it will take for `Impossible`

.

#### Note

The input and output may not fit in 32-bit integer variables. Please use 64-bit integer variables (such as `long`

in Java and `long long`

in C/C++).

#### Sample Input 1

```
3
6 1 2
```

#### Sample Output 1

`3`

#### Explanation for Sample Output 1

will perform the following steps:

- Ask friend to give a slice to friend .
- Ask friend to give a slice to friend .
- Ask friend to give a slice to friend .

#### Sample Input 2

```
2
1 2
```

#### Sample Output 2

`Impossible`

#### Explanation for Sample Output 2

No matter what

does, one friend will always have more than the other.#### Sample Input 3

```
10
3 5 4 6 5 2 4 6 9 6
```

#### Sample Output 3

`7`

## Comments

IDK what's wrong with my C++ 14 code, it keeps saying Batch 5 testcase 1 is WA. I have an output of Impossible.

EDIT: NVM I put long long int instead of long long

I tried my code with all the test cases and my own case, but it still says that batch 4 has the wrong answer. What is wrong with my code?

Each friend can already have the same amount of slices.

Hmmmm when I'm testing my code it works. but when I submit it, it says it's incorrect.....

Your code has a tiny little mistake in it. Just remember to be careful with indentation in python and you will find it.

uh, FatalEagle, are you communist?

In his defense, the problem statement does say,

We're led to believe that there are not many slices left, since FatalEagle was there first!