CF1977A Little Nikita

Description

The little boy Nikita was given some cubes as a present. He decided to build a tower out of them. Initially, the tower doesn't have any cubes. In one move, Nikita either puts exactly $ 1 $ cube on top of the tower or removes exactly $ 1 $ cube from the top of the tower. Is it possible that after $ n $ moves, the resulting tower has exactly $ m $ cubes?

Input Format

Each test contains multiple test cases. The first line of input contains a single integer $ t $ ( $ 1 \le t \le 100 $ ) — the number of test cases. The description of the test cases follows. The only line of each test case contains two integers $ n $ and $ m $ ( $ 1 \le n, m \le 100 $ ).

Output Format

For each test case, output "Yes" (without quotes) if Nikita can obtain a tower with $ m $ cubes, and "No" (without quotes) otherwise. You can output each letter in any case (lowercase or uppercase). For example, the strings "yEs", "yes", "Yes", and "YES" will be accepted as a positive answer.

Explanation/Hint

In the first test case, Nikita can put $ 1 $ cube on top of the tower $ 3 $ times in a row, so the answer is "Yes". In the second test case, Nikita can only end up with either a tower with no blocks or a tower with $ 2 $ blocks, so the answer is "No".