XOR Relationship Checker

You are given three integers a, b, and c. Your task is to determine if there exists a non-negative integer x such that the following inequalities hold:

$$a \oplus x c \oplus x,$$

where \(\oplus\) denotes the bitwise XOR operation. If such an x exists, print Yes; otherwise, print No.

Note: The input is provided via standard input and the output should be printed to standard output.

inputFormat

The input consists of a single line containing three space-separated integers a, b, and c.

\(1 \leq a, b, c \leq 10^9\)

outputFormat

Output a single line containing either Yes if there exists a non-negative integer x that satisfies the conditions, or No otherwise.

5 9 2

Yes