You are given integers A and B, each between 1 and 3 (inclusive).

Determine if there is an integer C between 1 and 3 (inclusive) such that $A \times B \times C$ is an odd number.

Constraints

• All values in input are integers.
• $1 \leq A, B \leq 3$

Input

Input is given from Standard Input in the following format:

A B

Output

If there is an integer C between 1 and 3 that satisfies the condition, print Yes; otherwise, print No.

Examples

Input

3 1

Output

Yes

Input

1 2

Output

No

Input

2 2

Output

No

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