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How do you convert a 2-3 tree to a red black tree?
1 Answer
- Transform any 2-node in the 2-3-4 tree into a black node in the red-black tree.
- Transform any 3-node into a child node and a parent node.
- Transform any 4-node into a parent and two children, the first child has its own children W and X; the second child has children Y and Z.
What is the minimum and maximum number of keys that a 2-3 search tree of this height can hold?
Since the maximum number of keys is 5, maximum number of children a node can have is 6. Bydefinition of B Tree, minimum children that a node can have would be 6/2 = 3. Therefore, minimum number of keys that a node can have becomes 2 (3-1)….Discuss it.
| A | 3 |
|---|---|
| D | 6 |
How many distinct binary trees can be created with N distinct keys?
The maximum number of distinct binary search trees that can be formed with ‘n’ distinct keys is C(2n,n) / n+1. This discussion on How many distinct binary search trees can be created out of 4 distinct keys? a)4b)14c)24d)42Correct answer is option ‘B’.
What is 2/3 tree in data structure?
2-3 tree is a tree data structure in which every internal node (non-leaf node) has either one data element and two children or two data elements and three children. If a node contains one data element leftVal, it has two subtrees (children) namely left and middle.
What is the minimum height of a 2 4 tree?
For minimal height of a 2-4 tree, we will be having three keys(maximum possible number) per node. keys at level 2 = 3*(4^2) and so on . . . For maximal height we will have a continuous chain of length n(total number of nodes) hence giving us a height equal to n-1(as height starts from 0).
What is the maximum height of a BST tree with n keys?
In a binary search tree, left child of a node has value less than the parent and right child has value greater than parent. If there are n nodes in a binary search tree, maximum height of the binary search tree is n-1 and minimum height is floor(log2n).
How many full Binary Trees are possible with N nodes?
For n = 3, there are 5 such full binary trees. For n = 4, there are 14 such full binary trees. For n = 5, there are 42 full binary trees. In fact, the number of full binary trees with n internal vertices is the Catalan number cn .