Program to input twenty integers into a tree

Using the tree program, write a program to input twenty integers into a tree.

The program should print out the inorder, preorder and postorder traversals for the tree indicating the LEVEL of each node as it is printed out.

In addition to that there should be statements indicating :



The number of leaves in the tree

The number of nodes with only one child

The number of nodes with two children

The maximum and minimum leaf levels

The height of the tree

Also indicate if the tree is balanced



For Example…if you entered the values

45

3

66

7

8

99

23

11

44

55

6

2

88

9

0

32

14

103

92



The tree program I gave you would print out that the root is 45, that 3 is the left of 45,

66 is the right of 45, etc etc…



It would then do the inorder traversal:

0 (level 3)

2 (level2)

3 (level1)

6 (level 3)

etc



Then you would say (not necessarily correct) something like:

There are 8 leaf nodes

There are 4 nodes with one child

There are 7 nodes with two children

Maximum leaf level = 6

Maximum leaf level = 3

not balanced...height = 6