问题 I: Assertion

Alice boldly asserts to you that if you divide $m$ items into $n$ groups, there will definitely be one group with a quantity of items greater than or equal to $d$.

Due to Alice's excessive self-confidence, she is unaware that some of her assertions are actually incorrect. Your task is to determine whether Alice's assertion is correct. If Alice's assertion is true, output 'Yes'; otherwise, output 'No'.

The input consists of multiple test cases. The first line contains a single integer �(1≤�≤105)T(1≤T≤105) — the number of test cases. Description of the test cases follows.

The first line of each test case contains three integers $n,m,d$ (2≤�≤109,1≤�<�,0≤�≤109)(2≤m≤109,1≤n<m,0≤d≤109)，$n$ and $m$ represent the number of groups and the quantity of items, respectively, in Alice's assertion. The symbol $d$ signifies Alice's claim that there will always be at least one group with a quantity of items greater than or equal to $d$.

3
1 2 1
2 3 2
3 10 4

Yes
Yes
Yes