A triangle is "inscribed" in a circle if all 3 points of the triangle are on the edge of the circle. For this problem, our circle will be centered at the origin and have a radius of 5. Our goal is to find the largest triangle (by area) we can inscribe in this circle. Normally, this would be any equilateral triangle, but in this case we have the added restriction that each point of our triangle must be within one (or more) of the valid ranges of degrees. The degree ranges are given in thousandths of degrees in corresponding elements of **angleFrom** and **angleTo**. For each range, **angleFrom** will be less than or equal to **angleTo** and each will be between 0 and 360000. All ranges are inclusive; see the examples for clarification. Return the area of the largest inscribed triangle that can be made while following these restrictions. If no triangle can be made, return 0. |