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So heres our binary search tree. And were going to look at the insert operation. The inserted operation is going to prioritize keying keeping all of the nodes in the tree exactly where they are. So what were going to do is were only ever going to add a node at the leaf - as a leaf in the tree. So say I want to add the number 5. What Ill do is Ill compare that to the root, which is 50. 5 is smaller so it must go in the left subtree. Ill continue recursing down this left subtree. Ill look at the 30. 5 is still smaller than the 30 so it must go in its left subtree. Ill look in 30s left subtree at 20. 20 is still bigger than 5 so it must go in the left subtree of 20. I look in there is no left subtree of 20. So, so Im going to place the node 5 as the left subtree of 20. Again Im going to look at inserting a node. Im going to insert the key 31. Again 31 is smaller than the root, 50. So Im going to look on the left subtree. Now its bigger than the root 30. So its going to go
