Tiny Arithmetic Sequence

AtCoder

IDabc201_a

Time2000ms

Memory256MB

Difficulty—

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 $A_3-A_2=A_2-A_1$? ## Input Input is given from Standard Input in the following format: $A_1$ $A_2$ $A_3$ ## Constrains * $1 \leq A_i \leq 100$ * All values in input are integers. [samples]

Samples

Input #1

5 1 3

Output #1

Yes

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

Input #2

1 4 3

Output #2

No

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

Input #3

5 5 5

Output #3

Yes

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

API Response (JSON)

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