Among all quadrilaterals, Chris likes rectangles the most. This file contains information of 10000 quadrilaterals. How many of them are, **possibly tilted**, rectangles?

**Input Format**

Each quadrilateral is described in four lines. Each line contains a pair of integers that describes a point \((x,y)\). Note that the points are not necessarily in clockwise / anticlockwise order.

**Details and Assumptions**:

- It is guaranteed that for a quadrilateral no points will be in the same spot.
- \(1\leq (x_i,y_i) \leq 4\)

*This is an extension of this problem.*

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