Given coordinates of bottom-left and top-right corners of a rectangle. Check if a point (x, y) lies inside this rectangle or not.
Input: bottom-left: (0, 0), top-right: (10, 8), point: (1, 5)
Input: bottom-left: (-1, 4), top-right:(2, 3), point:(0, 4)
This problem is already discussed in a previous post. In this post we have discussed a new approach.
Approach: The above problem can be solved by observation. A point lies inside or not the rectangle if and only if it’s x-coordinate lies between the x-coordinate of the given bottom-right and top-left coordinates of the rectangle and y-coordinate lies between the y-coordinate of the given bottom-right and top-left coordinates.
Below is the implementation of the above approach:
- Check whether a given point lies inside a rectangle or not
- Check whether a given point lies on or inside the rectangle | Set 3
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