Virtual contest is a way to take part in past contest, as close as possible to participation on time. It is supported only ICPC mode for virtual contests.
If you've seen these problems, a virtual contest is not for you - solve these problems in the archive.
If you just want to solve some problem from a contest, a virtual contest is not for you - solve this problem in the archive.
Never use someone else's code, read the tutorials or communicate with other person during a virtual contest.

greedy

math

*1500

No tag edit access

The problem statement has recently been changed. View the changes.

×
B. A and B

time limit per test

1 secondmemory limit per test

256 megabytesinput

standard inputoutput

standard outputYou are given two integers $$$a$$$ and $$$b$$$. You can perform a sequence of operations: during the first operation you choose one of these numbers and increase it by $$$1$$$; during the second operation you choose one of these numbers and increase it by $$$2$$$, and so on. You choose the number of these operations yourself.

For example, if $$$a = 1$$$ and $$$b = 3$$$, you can perform the following sequence of three operations:

- add $$$1$$$ to $$$a$$$, then $$$a = 2$$$ and $$$b = 3$$$;
- add $$$2$$$ to $$$b$$$, then $$$a = 2$$$ and $$$b = 5$$$;
- add $$$3$$$ to $$$a$$$, then $$$a = 5$$$ and $$$b = 5$$$.

Calculate the minimum number of operations required to make $$$a$$$ and $$$b$$$ equal.

Input

The first line contains one integer $$$t$$$ ($$$1 \le t \le 100$$$) — the number of test cases.

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

Output

For each test case print one integer — the minimum numbers of operations required to make $$$a$$$ and $$$b$$$ equal.

Example

Input

3 1 3 11 11 30 20

Output

3 0 4

Note

First test case considered in the statement.

In the second test case integers $$$a$$$ and $$$b$$$ are already equal, so you don't need to perform any operations.

In the third test case you have to apply the first, the second, the third and the fourth operation to $$$b$$$ ($$$b$$$ turns into $$$20 + 1 + 2 + 3 + 4 = 30$$$).

Codeforces (c) Copyright 2010-2023 Mike Mirzayanov

The only programming contests Web 2.0 platform

Server time: Dec/10/2023 14:35:09 (l1).

Desktop version, switch to mobile version.

Supported by

User lists

Name |
---|