Chef has an exam which will start exactly M minutes from now. However, instead of preparing for his exam, Chef started watching Season-1 of Superchef. Season-1 has N episodes, and the duration of each episode is K minutes.

Will Chef be able to finish watching Season-1 strictly before the exam starts?

$\textbf{Note$:} Please read the explanations of the sample test cases carefully.

------ Input Format ------

• The first line contains an integer T denoting the number of test cases. T test cases then follow.
• The first and only line of each test case contains 3 space separated integers M, N and K.

------ Output Format ------

For each test case, output on one line YES if it is possible to finish Season-1 strictly before the exam starts, or NO if it is not possible to do so.

Output is case insensitive, which means that "yes", "Yes", "YEs", "no", "nO" - all such strings will be acceptable.

------ Constraints ------

$1 ≤ T ≤ 10^{4}$
$1 ≤ M ≤ 10^{9}$
$1 ≤ N, K ≤ 10^{4}$

----- Sample Input 1 ------
3
10 1 10
25 2 10
15 2 10
----- Sample Output 1 ------
NO
YES
NO
----- explanation 1 ------
Test Case $1$: The duration of the only episode is $10$ minutes, and the exam starts exactly after $10$ minutes. So, Chef will not be able to finish watching Season-$1$ strictly before the exam starts.

Test Case $2$: There are two episodes in Season-$1$, each of duration $10$ minutes. Therefore, Chef will require $10 + 10 = 20$ minutes to finish watching Season-$1$. As the exam starts after $25$ minutes, Chef will be able to finish watching Season-$1$ strictly before the exam starts.

Test Case $3$: There are two episodes in Season-$1$, each of duration $10$ minutes. Therefore, Chef will require $10 + 10 = 20$ minutes to finish watchin Season-$1$. As the exam starts after $15$ minutes, Chef will not be able to finish watching Season-$1$ strictly before the exam starts.

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