# Equalize AB Codechef Solution

### We Are Discuss About CODECHEF SOLUTION

Equalize AB Codechef Solution

## Equalize AB Codechef Solution

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You are given two numbers A and B along with an integer X. In one operation you can do one of the following:

• Set A = A + X and B = B – X
• Set A = A – X and B = B + X

Determine if you can make A and B equal after applying the operation any number of times (possibly zero).

### Input Format

• The first line contains a single integer T — the number of test cases. Then the test cases follow.
• The first and only line of each test case contains two space-separated integers A, B and X — the parameters mentioned in the statement.

### Output Format

For each test case, output YES if you can make A and B equal after applying the operation any number of times (possibly zero). Otherwise, output NO.

You can output each letter in any case i.e. YESyesyEs are all considered the same.

### Constraints

• 1 \leq T \leq 1000
• 1 \leq A, B, X \leq 10^9

### Sample 1:

Input

Output

4
5 7 1
3 4 2
4 4 6
2 5 3

YES
NO
YES
NO


### Explanation:

Test Case 1: The initial values of (A, B) is (5, 7). We can perform the following operation: (5,7) \xrightarrow{A = A + X, B = B – X} (6,6).

Test Case 2: It can be proven that we can not make A equal to B using the given operations.

Test Case 3: A and B are already equal.

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