#P2876. Ellipse, again and again

Ellipse, again and again

Problem Description

There is an ellipse in the plane, its formula is . We denote the focuses by F1 and F2. There is a point P in the plane. Draw a segment to associate the origin and P, which intersect the ellipse at point Q. Then draw a tangent of the ellipse which passes Q. Denote the distance from the center of the ellipse to the tangent by d. Calculate the value of .

Input

The first line contains a positive integer n that indicates number of test cases.
And each test case contains a line with four integers. The value of parameters of the ellipse a, b(0<|a|,|b|<=100),and the coordinates x, y of P(|x|<=100,|y|<=100) are given successively.

Output

For each test case, output one line. If the given point P lies inside the given ellipse, print "In ellipse" otherwise print the value of d*d*QF1*QF2 rounded to the nearest integer.

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