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Contest: Task: Related: TaskB

Score : $100$ points

Problem Statement

You are given a sequence of three numbers: $A=(A_1,A_2,A_3)$.

Is it possible to rearrange the elements of $A$ into an arithmetic sequence?

In other words, is it possible to rearrange the elements of $A$ so that $A_3-A_2=A_2-A_1$?

Constrains

  • $1 \leq A_i \leq 100$
  • All values in input are integers.

Input

Input is given from Standard Input in the following format:

$A_1$ $A_2$ $A_3$

Output

If it is possible to rearrange the elements of $A$ into an arithmetic sequence, print Yes; otherwise, print No.

Sample Input 1

5 1 3

Sample Output 1

Yes

We can rearrange them into an arithmetic sequence by, for example, making it $(1,3,5)$.

Sample Input 2

1 4 3

Sample Output 2

No

There is no way to rearrange them into an arithmetic sequence.

Sample Input 3

5 5 5

Sample Output 3

Yes

All elements of $A$ may be equal, or $A$ may be an arithmetic sequence already.