P9718 [EC Final 2022] Best Carry Player 2

Description

Given a positive integer $x$, find the minimum positive integer $y$ such that the number of $\textbf{carries}^1$ of $x+y$ is exactly $k$. We adds numbers $\textbf{by column addition in base-ten}$, just like what we normally do in primary school. For example, there are two carries in the following addition. ![](https://cdn.luogu.com.cn/upload/image_hosting/pfnper3r.png) $^1$ which means ``进位`` in Chinese.

Input Format

The first line contains an integer $T$ $(1\leq T\leq 10^5)$ $-$ the number of test cases. For each test case, the first line contains two integers $x, k$ $(1\leq x < 10^{18}, 0\leq k \leq 18)$.

Output Format

For each test case, output one integer representing the answer in one line. If there is no solution, output $-1$ instead.