ABC333

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

inputFormat

input are integers.

• 1 \leq A, B \leq 3

Input

Input is given from Standard Input in the following format:

A B

outputFormat

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

样例

3 1

Yes