# More fun with Arrays!

Let a point $$P=(x, y)$$ lie on a Cartesian coordinate plane given above such that $$x$$ and $$y$$ are any real numbers.

Assume an array $$[12.5, -0.1, -11.01, 10, 0, -1, 1, -22.2]$$ of size 8.

Let each pair of the numbers represent a point $$P$$ such that $$1^\text{st}$$ value is $$x$$ and $$2^\text{nd}$$ one is $$y$$ and there are $$\frac{8}{2}=4$$ points in total.

i-e: $$P_{1}=(12.5, -0.1), P_{2}=(-11.01, 10), P_{3}=(0, -1)$$ and $$P_{4}=(1, -22.2)$$ but not $$P(12.5, -11.01)$$ or $$P(10, -1)$$ or so.

In this case, the quadrant 3 is said to be most dense because it contains more points (i-e: 2) than any other while the quadrant 1 is least dense because it contains least number of points (i-e: 0).

Let the Array be the array of real numbers and $$m$$ and $$l$$ be the most dense and least dense quadrant numbers respectively. $\text{ What is } m+l \, ?$

Details and Assumptions:

• A point may repeat itself in the given array. Consider such repea- ted points as different and include them in your counting as well.
• Points lying on either X-axis or Y-axis are not considered to be in any of the quadrants.
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