Rachel, being an awesome android programmer, just finished an App that will let us draw a triangle by selecting three points on the touch-plane.Now She asks her friend Bruce to draw a Right-Angled Triangle (we'll call it RAT) by selecting 3 integral points on the plane. A RAT is a triangle with Non-Zero area and a right-angle.

But Bruce, being in a hurry as always, makes a mistake on drawing the points. Now Rachel's app can fix Bruce's mistake if only one coordinate of any one point can be adjusted within a distance of 1 units. i.e., if the drawn triangle can be made a RAT by adjusting any one coordinate within 1 unit of distance.

Your task is simple, given 6 coordinates (each Integer pair representing a point), you have to tell can Rachel's app correct Bruce's mistake automatically?

Input:

      First line containing T, the number of test cases.
      Then T lines follow with 6 space separated coordinates.

Output:

      print "YES" in a newline if it's possible.
      otherwise print "NO" in a newline.

Constraints:

      1 <= T <= 100
      -1000 <=  xi,yi <= 1000