#P1560F1. Nearest Beautiful Number (easy version)

    ID: 7238 Type: RemoteJudge 1000ms 256MiB 尝试: 2 已通过: 2 难度: 10 上传者: 标签>bitmasksbrute forceconstructive algorithmsdfs and similargreedyimplementation

Nearest Beautiful Number (easy version)

Description

It is a simplified version of problem F2. The difference between them is the constraints (F1: $k \le 2$, F2: $k \le 10$).

You are given an integer $n$. Find the minimum integer $x$ such that $x \ge n$ and the number $x$ is $k$-beautiful.

A number is called $k$-beautiful if its decimal representation having no leading zeroes contains no more than $k$ different digits. E.g. if $k = 2$, the numbers $3434443$, $55550$, $777$ and $21$ are $k$-beautiful whereas the numbers $120$, $445435$ and $998244353$ are not.

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

Each test case consists of one line containing two integers $n$ and $k$ ($1 \le n \le 10^9$, $1 \le k \le 2$).

For each test case output on a separate line $x$ — the minimum $k$-beautiful integer such that $x \ge n$.

Input

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

Each test case consists of one line containing two integers $n$ and $k$ ($1 \le n \le 10^9$, $1 \le k \le 2$).

Output

For each test case output on a separate line $x$ — the minimum $k$-beautiful integer such that $x \ge n$.

Samples

4
1 1
221 2
177890 2
998244353 1
1
221
181111
999999999