Balls and Boxes

You have $N$ balls and $K$ boxes. You want to divide the $N$ balls into $K$ boxes such that: - Each box contains $\ge 1$ balls. - No two boxes contain the same number of balls. Determine if it is possible to do so. ### Input - 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-separa