B. Ordinary Numbers
time limit per test
2 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output

Let's call a positive integer $n$ ordinary if in the decimal notation all its digits are the same. For example, $1$, $2$ and $99$ are ordinary numbers, but $719$ and $2021$ are not ordinary numbers.

For a given number $n$, find the number of ordinary numbers among the numbers from $1$ to $n$.

Input

The first line contains one integer $t$ ($1 \le t \le 10^4$). Then $t$ test cases follow.

Each test case is characterized by one integer $n$ ($1 \le n \le 10^9$).

Output

For each test case output the number of ordinary numbers among numbers from $1$ to $n$.

Example
Input
6
1
2
3
4
5
100

Output
1
2
3
4
5
18