conclusion about binary tree
Nodes, references and arrays are the methods for storing binary trees. It can also be stored in breath first order.
please tell me answer of this question. Suppose you are building an N node binary search tree with the values 1...N. how many structurally different binary trees is there that store those values? write a recursive function that, gives the number of distinct values, computes the number of structurally unique binary search trees that store those values. For example, countTrees(4) should return 14, since there are 14 structurally unique binary search trees that store 1,2,3 and 4. The base case us easy, and the recursion is short but dense. your code should not construct any actual trees; it's just a counting problem.
a binary tree with only left sub trees is called as left skewed binary tree
The reason that binary trees are used more often than n-ary trees for searching is that with every contract with an n-ary tree you can eliminate most of it.
A strictly binary tree is one where every node other than the leaves has exactly 2 child nodes. Such trees are also known as 2-trees or full binary trees. An extended binary tree is a tree that has been transformed into a full binary tree. This transformation is achieved by inserting special "external" nodes such that every "internal" node has exactly two children.
Infinite (and binary).
Binary trees are commonly used to implement binary search tree and binary heaps.
There is no such thing. There are binary trees and linked lists.
Nodes, references and arrays are the methods for storing binary trees. It can also be stored in breath first order.
Balanced and unbalanced.
No, binary search trees are not always balanced. Balancing a binary search tree involves ensuring that the height difference between the left and right subtrees of each node is at most 1. Unbalanced binary search trees can lead to inefficient search and insertion operations.
cg code for binary tree
a binary tree with right sub trees only
please tell me answer of this question. Suppose you are building an N node binary search tree with the values 1...N. how many structurally different binary trees is there that store those values? write a recursive function that, gives the number of distinct values, computes the number of structurally unique binary search trees that store those values. For example, countTrees(4) should return 14, since there are 14 structurally unique binary search trees that store 1,2,3 and 4. The base case us easy, and the recursion is short but dense. your code should not construct any actual trees; it's just a counting problem.
a binary tree with only left sub trees is called as left skewed binary tree
A full binary tree is a type of binary tree where each node has either 0 or 2 children. A complete binary tree is a binary tree where all levels are fully filled except possibly for the last level, which is filled from left to right. So, a full binary tree can be a complete binary tree, but not all complete binary trees are full binary trees.
In general: There are 2n-1 nodes in a full binary tree. By the method of elimination: Full binary trees contain odd number of nodes. So there cannot be full binary trees with 8 or 14 nodes, so rejected. With 13 nodes you can form a complete binary tree but not a full binary tree. So the correct answer is 15. niraj