## jadonv

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AnswersGiven an array of edges between any two points in 2 dimensional space. A single edge is represented by the co-ordinates of two points it is connecting for example (2,3),(4,5) represents and edge connecting points (2,3) and (4,5).Find out the total number of squares possible if all edges are parallel to X or Y axis.

- jadonv in United States

NOTE : Include overlapping squares, squares having one side in common and squares contained within another square. Co-ordinates can have float values.

Example below -

I have considered a very simple input and output combination to keep it short.

Input

{

(0,0),(0,3)

(0,0),(3,0)

(0,3),(3,3)

(3,0),(3,3)

}

Output : 1

Possible Approach : Create a map as below -

Key(Slope of Edge in Degrees) - Value(Array of Edges)

0 - {(0,0),(3,0)},{(0,3),(3,3)}

90 - {(0,0),(0,3)},{(3,0),(3,3)}

While inserting edges in the map, make sure the edges are sorted by max(x1,x2) first and then max(y1,y2).

Pick 2 edges from one slope let's say slope 0, then pick 2 edges from slope 90 and see if square is formed or not. If square not formed, then look at next 2 edges of slope 90 and so on.

Sorting here is an expensive operation.

Please share any better solutions.| Report Duplicate | Flag | PURGE

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so what's the time complexity? sorting will take O(NLogN). How will you check if other 3 edges are present or not and what will be time complexity of that operation?

- jadonv January 29, 2019