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).

见题面 Input 部分

见题面 Output 部分

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