Problem Statement

Solve the following problem for $T$ test cases.

Given are non-negative integers $a$ and $s$. Is there a pair of non-negative integers $(x,y)$ that satisfies both of the conditions below?

• $x\\ \\text{AND}\\ y=a$
• $x+y=s$

What is bitwise $\\mathrm{AND}$?

The bitwise $\\mathrm{AND}$ of integers $A$ and $B$, $A\\ \\mathrm{AND}\\ B$, is defined as follows:

• When $A\\ \\mathrm{AND}\\ B$ is written in base two, the digit in the $2^k$'s place ($k \\geq 0$) is $1$ if those of $A$ and $B$ are both $1$, and $0$ otherwise.

For example, we have $4\\ \\mathrm{AND}\\ 6 = 4$ (in base two: $100\\ \\mathrm{AND}\\ 110 = 100$).

Constraints

• $1 \\leq T \\leq 10^5$
• $0 \\leq a,s \\lt 2^{60}$
• All values in input are integers.

Input

Input is given from Standard Input. The first line is in the following format:

$T$

Then, $T$ test cases follow. Each test case is in the following format:

$a$ $s$

Output

Print $T$ lines. The $i$-th line $(1 \\leq i \\leq T)$ should contain Yes if, in the $i$-th test case, there is a pair of non-negative integers $(x,y)$ that satisfies both of the conditions in the Problem Statement, and No otherwise.

Sample Input 1

2
1 8
4 2

Sample Output 1

Yes
No

In the first test case, some pairs such as $(x,y)=(3,5)$ satisfy the conditions.

In the second test case, no pair of non-negative integers satisfies the conditions.

Sample Input 2

4
201408139683277485 381410962404666524
360288799186493714 788806911317182736
18999951915747344 451273909320288229
962424162689761932 1097438793187620758

Sample Output 2

No
Yes
Yes
No