A positive integer is called $k$-beautiful, if the digit sum of the decimal representation of this number is divisible by $k^{\dagger}$. For example, $9272$ is $5$-beautiful, since the digit sum of $9272$ is $9 + 2 + 7 + 2 = 20$.

You are given two integers $x$ and $k$. Please find the smallest integer $y \ge x$ which is $k$-beautiful.

$^{\dagger}$ An integer $n$ is divisible by $k$ if there exists an integer $m$ such that $n = k \cdot m$.

Input

Each test contains multiple test cases. The first line contains the number of test cases $t$ ($1 \le t \le 10^4$). The description of the test cases follows.

The only line of each test case contains two integers $x$ and $k$ ($1 \le x \le 10^9$, $1 \le k \le 10$).

Output

For each test case, output the smallest integer $y \ge x$ which is $k$-beautiful.

Note

In the first test case, numbers from $1$ to $4$ consist of a single digit, thus the digit sum is equal to the number itself. None of the integers from $1$ to $4$ are divisible by $5$.

In the fourth test case, the digit sum of $777$ is $7 + 7 + 7 = 21$ which is already divisible by $3$.

Samples

6
1 5
10 8
37 9
777 3
1235 10
1 10

5
17
45
777
1243
19