A14669 | Reverse

You are given two positive integers $x$ and $y$ . You can perform the following operation with $x$ : write it in its binary form without leading zeros, add $0$ or $1$ to the right of it, reverse the binary form and turn it into a decimal number which is assigned as the new value of $x$ .

For example:

- $34$ can be turned into $81$ via one operation: the binary form of $34$ is $100010$ , if you add $1$ , reverse it and remove leading zeros, you will get $1010001$ , which is the binary form of $81$ .
- $34$ can be turned into $17$ via one operation: the binary form of $34$ is $100010$ , if you add $0$ , reverse it and remove leading zeros, you will get $10001$ , which is the binary form of $17$ .
- $81$ can be turned into $69$ via one operation: the binary form of $81$ is $1010001$ , if you add $0$ , reverse it and remove leading zeros, you will get $1000101$ , which is the binary form of $69$ .
- $34$ can be turned into $69$ via two operations: first you turn $34$ into $81$ and then $81$ into $69$ .

Your task is to find out whether $x$ can be turned into $y$ after a certain number of operations (possibly zero).

The only line of the input contains two integers $x$ and $y$ ( $1 \le x, y \le 10^{18}$ ).

Print YES if you can make $x$ equal to $y$ and NO if you can't.