PROGRAMMING:Cassels equation
Cassels equation is an indeterminate equation which has a great influence in the field of number theory: $$x ^ 2 + y ^ 2 + Z ^ 2 = 3xyz $$. The equation has infinite natural number solutions.
This problem is not to solve the equation, but to judge whether a given group (x, y, z) is the solution of the equation.
###Input format:
Input in the first line to give a positive integer n not more than 10, then n lines, each line gives three positive integers 0 < x ≤ y ≤ Z ≤ 1000.
###Output format:
For each group of inputs, if it is a group of solutions, output yes in one line, otherwise output No.
###Input example:
```in
two
1 1 1
5 6 7
```
###Output example:
```out
Yes
No
```
###Tips
This topic is selected from "puzzle a 2021 challenge"< br>
answer：If there is no answer, please comment
This problem is not to solve the equation, but to judge whether a given group (x, y, z) is the solution of the equation.
###Input format:
Input in the first line to give a positive integer n not more than 10, then n lines, each line gives three positive integers 0 < x ≤ y ≤ Z ≤ 1000.
###Output format:
For each group of inputs, if it is a group of solutions, output yes in one line, otherwise output No.
###Input example:
```in
two
1 1 1
5 6 7
```
###Output example:
```out
Yes
No
```
###Tips
This topic is selected from "puzzle a 2021 challenge"< br>
answer：If there is no answer, please comment