You are given two positive integers $a$ and $b$.

In one move, you can change $a$ in the following way:

• Choose any positive odd integer $x$ ($x \gt 0$) and replace $a$ with $a+x$;
• choose any positive even integer $y$ ($y \gt 0$) and replace $a$ with $a-y$.

You can perform as many such operations as you want. You can choose the same numbers $x$ and $y$ in different moves.

Your task is to find the minimum number of moves required to obtain $b$ from $a$. It is guaranteed that you can always obtain $b$ from $a$.

You have to answer $t$ independent test cases.

Input

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

Then $t$ test cases follow. Each test case is given as two space-separated integers $a$ and $b$ ($1 \le a, b \le 10^9$).

Output

For each test case, print the answer — the minimum number of moves required to obtain $b$ from $a$ if you can perform any number of moves described in the problem statement. It is guaranteed that you can always obtain $b$ from $a$.

Note

In the first test case, you can just add $1$.

In the second test case, you don't need to do anything.

In the third test case, you can add $1$ two times.

In the fourth test case, you can subtract $4$ and add $1$.

In the fifth test case, you can just subtract $6$.

Samples

5
2 3
10 10
2 4
7 4
9 3

1
0
2
2
1