You are given an integer $x$. Can you make $x$ by summing up some number of $11, 111, 1111, 11111, \ldots$? (You can use any number among them any number of times).

For instance,

• $33=11+11+11$
• $144=111+11+11+11$

Input

The first line of input contains a single integer $t$ $(1 \leq t \leq 10000)$ — the number of testcases.

The first and only line of each testcase contains a single integer $x$ $(1 \leq x \leq 10^9)$ — the number you have to make.

Output

For each testcase, you should output a single string. If you can make $x$, output "YES" (without quotes). Otherwise, output "NO".

You can print each letter of "YES" and "NO" in any case (upper or lower).

Note

Ways to make $33$ and $144$ were presented in the statement. It can be proved that we can't present $69$ this way.