Badminton

Author: QuwsarOhi

Problem Setter: Quwsar Ohi

33rd Intake, Dept. of CSE
Bangladesh University of Business and Technology (BUBT)


In winter there is a hype game played almost everywhere in Bangladesh known as Badminton. It is played in a rectangular court. As now it's winter season, we need to draw a court for our university. We wanted to draw a court. But the teachers of our university didn't like our badminton court, because the area of the court was too big for them.


So, you are given three values, the length of the court (denoted as l), the width of the court (denoted as w) and the maximum badminton court area at which the teachers like to play badminton (denoted as a).

Input Format

There will be multiple testcases (denoted as t), at most 100. The first line will contain t, then next t lines will contain three integer values l, w and a.

You can assume that 1 <= l, w <= 100.

Output Format

You have to print "yes" if the area of the court is LESS or EQUAL than the size of the maximum area of a court in which the teachers like to play, otherwise output "no" (without quotes).

See the sample input output for clarification.


Samples

Input
4 1 2 3 1 4 3 2 2 4 2 2 3
Output
yes no yes no
Limits
Language Time Memory
GNU C 11 1s 512MB
GNU C++ 14 1s 512MB
GNU C++ 11 1s 512MB
PHP 7 1s 1024MB
Java (OpenJDK 8) 1s 4096MB
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