Problem Statement

You are given positive integers $A_1,A_2,A_3$.

Determine whether there exists a pair of positive integers $(X_1,X_2)$ that satisfies all the following conditions, and if it exists, find one.

• $X_1$ is an integer with $A_1$ digits in decimal notation.
• $X_2$ is an integer with $A_2$ digits in decimal notation.
• The least common multiple of $X_1$ and $X_2$ is an integer with $A_3$ digits in decimal notation.

You are given $T$ test cases, so find the answer for each.

Constraints

• $1\le T\le 17^3$
• $1\le A_1,A_2,A_3\le 17$
• All input values are integers.

Input

The input is given from Standard Input in the following format:

T
\text{case}_1
\text{case}_2
\vdots
\text{case}_T

Each test case is given in the following format:

A_1 A_2 A_3

Output

Output your solutions for the test cases in order, separated by newlines.

For each test case, if there is no $(X_1,X_2)$ that satisfies all conditions, output No.

Otherwise, output a $(X_1,X_2)$ that satisfies all conditions in the following format:

Yes
X_1 X_2

If there are multiple $(X_1,X_2)$ that satisfy the conditions, you may output any of them.