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just like with a binary search tree the order in which we insert the elements into a KD tree dictate its balance and just like with any other binary search tree that we would want to deal with or many other tree structures a more balanced tree would yield faster runtimes for finding removing or inserting elements so how does insertion order actually influence the balance well lets say these are some points that I want to insert into a KD tree here Ive arbitrarily ordered them in increasing order of x-coordinate and lets see what would happen if I just happen to insert them in this order so first I insert 2 comma 3 my tree is empty so this just becomes the root 2 comma 3 then the next point so 2 comma 3 is done now 4 comma 7 so first I have to look at x-coordinates so for 4 comma 7 4 is greater than 2 so it would be to the right theres no right child so this becomes the right child or 7 now for the next point 5 comma 4 I start at the root 5 is greater than 2 so I go right 4 is less