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.
1..15 (not allowing empty trees).
conclusion about binary tree
Two: 1. root and left child 2. root and right child
Nodes, references and arrays are the methods for storing binary trees. It can also be stored in breath first order.
a binary tree with only left sub trees is called as left skewed binary tree
Infinite (and binary).
The number of branches is 8.
1..15 (not allowing empty trees).
1014 it is. no of different trees possible with n nodes is (2^n)-n thanx
Binary trees are commonly used to implement binary search tree and binary heaps.
conclusion about binary tree
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
There is no such thing. There are binary trees and linked lists.
Two: 1. root and left child 2. root and right child
Nodes, references and arrays are the methods for storing binary trees. It can also be stored in breath first order.
Balanced and unbalanced.
General trees are not binary trees. It is the other way around, however, see the last paragraph for a different answer - explanation first... A binary tree is one with two possible child nodes, a left node and a right node, either of which might be not present. This particular representation implies a certain order between the node and its children, and if you walk the tree from bottom left to bottom right, you will traverse the nodes in order. A general tree is one with any number of possible child nodes, including no child nodes, so a binary tree is an example of a general tree, while a general tree is a generalization of a binary tree. However, in the general tree, the meaning of the child nodes might not have any specific ordering, like those in a binary tree, unless the general tree has other information contained in the node about order, because the concept of left and right has no implied meaning when there are more than two children. But, as promised, if the general tree has order, it is always possible to represent the general tree as a binary tree - there will just be more nodes, but they will only contain zero, one, or two children, and they will have an implied order.