Seagulls over the sea#4799
Soaring upwards, then diving down, They fly over the sea, touching the waves, And the fresh wind gives them strength In the vast blue skies from the heat…
(Lyudmila Simerenko "Seagulls over the Sea")
Seagulls over the sea... It's a delight to watch them when there aren't too many and they're not constantly flying overhead...
Andrii loved observing the seagulls passing by at such times. One day, he was particularly fortunate: only 4 seagulls were flying over the sea, hunting for small fish, and the curious Andrii immediately wondered: Are all 4 seagulls currently in the same plane?
He used ship instruments to determine the coordinates of the seagulls, but he wasn't very skilled in math. Help Andrii with this task.
The first line contains the number of test cases (1 \leq N \leq 1000). Each of the next lines contains the coordinates for the 4 seagulls: X_i\ Y_i\ Z_i (|X_i|, |Y_i|, |Z_i| \leq 100, 1 \leq i \leq 4). The seagulls can be considered as material points.
Since seagulls are not actually material points, in this problem, you should consider a seagull to belong to a plane if it is no more than 10^{-6} away from the plane.
For each configuration of the seagulls, output a separate line with the message Yes (without quotes) if all 4 seagulls are in the same plane, and No otherwise.
Example 1