#A. ABC201A - Tiny Arithmetic Sequence

    Type: Default 1000ms 256MiB

ABC201A - Tiny Arithmetic Sequence

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Score : 100 points

Problem Statement

You are given a sequence of three numbers: A=(A1,A2,A3).

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 A3A2=A2A1?

Constrains

  • 1Ai100
  • All values in input are integers.

Input

Input is given from Standard Input in the following format:

A1 A2 A3

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.

ABC201

Not Attended
Status
Done
Rule
IOI
Problem
7
Start at
2023-6-28 8:00
End at
2023-6-28 10:00
Duration
2 hour(s)
Host
Partic.
10