[Solution] Make them Equal CodeChef Solution | CodeChef Problem Solution 2022

[Solution] Make them Equal CodeChef Solution | CodeChef Problem Solution 2022

You are given 3$3$ numbers A,B$A,B$ and C$C$.

You want to make all these 3$3$ numbers equal. To do this, you can perform any finite number of operations:

• In the ith$i^{th}$ operation, you must add 2(i−1)$2^{(i-1)}$ to any one of these 3$3$ numbers.

Find whether you can make these 3$3$ numbers equal in finite number of moves.

Input Format

• First line will contain T$T$, number of test cases. Then the test cases follow.

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• Each test case contains of a single line of input, three integers A,B,$A,B,$ and C$C$.

Output Format

For each test case, output YES if you can make these 3$3$ numbers equal, NO otherwise.

You may print each character of the string in uppercase or lowercase (for example, the 

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strings YES, yEs, yes, and yeS will all be treated as identical).

Constraints

• 1≤T≤5000$1\le T\le 5000$
• 1≤A,B,C≤109