Description

Input

The first line of the input contains one integer $t$ ($1 \le t \le 1000$) — the number of test cases. Then $t$ test cases follow.

The only line of the test case contains two integers $n$ and $x$ ($1 \le n, x \le 1000$) — the number of Petya's apartment and the number of apartments on each floor of the house except the first one (there are two apartments on the first floor).

Output

For each test case, print the answer: the number of floor on which Petya lives.

4
7 3
1 5
22 5
987 13

3
1
5
77

Note

Consider the first test case of the example: the first floor contains apartments with numbers $1$ and $2$, the second one contains apartments with numbers $3$, $4$ and $5$, the third one contains apartments with numbers $6$, $7$ and $8$. Therefore, Petya lives on the third floor.

In the second test case of the example, Petya lives in the apartment $1$ which is on the first floor.