Definition

A sequence of 3 real numbers $v = (a_1,a_2,a_3)$ is said, according to legend, to be a Kadomatsu sequence when $v$ satisfies the following conditions.

1. $a_1,a_2,a_3$ are all distinct
2. $a_2$ is the largest or the smallest of the 3 elements

Problem Statement

Yukikoji discovered 3 bamboo stalks growing naturally, lined up in a row.

Upon observing the bamboo, Yukikoji found that the $i$-th stalk is currently $x_i$ [m] long and grows $y_i$ [m] per hour.
The growth rate is constant, and we do not consider the possibility of the stalks withering or breaking along the way.

Yukikoji wants to take a photograph of the moment when the lengths of the 3 bamboo stalks form a Kadomatsu sequence.

Does such a moment exist?
Output YES if there is a prospect of the lengths of the 3 bamboo stalks forming a Kadomatsu sequence, and NO otherwise.

Input

$N$
$testcase_1$
$testcase_2$
...
$testcase_N$

In this problem, a single input contains $N (1\le N \le 200)$ test cases separated by newlines.

The 1st line gives the number of test cases, and the 2nd through $N+1$-th lines give the test cases.

Each test case is given on a single line, separated by spaces, as follows.

$x_1$ $x_2$ $x_3$ $y_1$ $y_2$ $y_3$

$1 \le x_i \le 2020$
$1 \le y_i \le 2020$
All values are integers.

Output

For each test case, output YES if there is a prospect of the lengths of the 3 bamboo stalks forming a Kadomatsu sequence, and NO otherwise, separated by newlines.

Print a newline at the end.

Sample

5
3 7 8 3 2 1
1 3 2 100 200 300
1 2 3 4 5 5
1 4 8 6 4 1
1 1 1 1 1 1

YES
YES
NO
YES
NO