A definition for an ellipse is:
Given a circle with centre and radius and a point such that , the locus of the points that are equidistant from and form an ellipse.
The construction of the points of the ellipse is shown below.
Given are the points and .
Given is also the circle with centre and radius .
The locus of the points that are equidistant from and form an ellipse .
From a point outside the two tangents and to the ellipse are drawn.
Let the points where and touch the ellipse be and .
For how many lattice points is angle greater than degrees?
First line of each test file contains three integers separated by single spaces: , and .
Second line of each test file contains a single integer .
Third line of each test file contains two integers and separated by a single space which represent the angle in such a way that .
Print exactly one number which is the answer to the problem.