Maximum Width of a Binary tree
Write a C Program to find Maximum Width of a Binary tree. Here’s simple Program to find Maximum Width means Diameter of a Binary tree in C Programming Language.
What is Tree ?
In linear data structure, data is organized in sequential order and in non-linear data structure, data is organized in random order. Tree is a very popular data structure used in wide range of applications.
A tree data structure can be defined as follows…
- Tree is a non-linear data structure which organizes data in hierarchical structure and this is a recursive definition.
A tree data structure can also be defined as follows…
- Tree data structure is a collection of data (Node) which is organized in hierarchical structure and this is a recursive definition.
Every individual element is called as Node. Node in a tree data structure, stores the actual data of that particular element and link to next element in hierarchical structure.
Below is the source code for C Program to find Width of a Binary tree which is successfully compiled and run on Windows System to produce desired output as shown below :
SOURCE CODE : :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 |
/* C Program to find Width of a Binary tree */ #include<stdio.h> #include<stdlib.h> struct node { struct node *lchild; int info; struct node *rchild; }; struct node *insert(struct node *ptr, int ikey); void display(struct node *ptr,int level); int NodesAtLevel(struct node *ptr, int level) ; int height(struct node *ptr); int Width(struct node *ptr); int main() { struct node *root=NULL,*root1=NULL,*ptr; int choice,k,item,level; while(1) { printf("\n"); printf("1.Insert Tree \n"); printf("2.Display Tree \n"); printf("3.Width of Tree \n"); printf("4.Quit\n"); printf("\nEnter your choice : "); scanf("%d",&choice); switch(choice) { case 1: printf("\nEnter the key to be inserted : "); scanf("%d",&k); root = insert(root, k); break; case 2: printf("\n"); display(root,0); printf("\n"); break; case 3: printf("\n"); printf("Width of Binary Tree = [ %d ].\n",Width(root)); break; case 4: exit(1); default: printf("\nWrong choice\n"); }/*End of switch */ }/*End of while */ return 0; }/*End of main( )*/ struct node *insert(struct node *ptr, int ikey ) { if(ptr==NULL) { ptr = (struct node *) malloc(sizeof(struct node)); ptr->info = ikey; ptr->lchild = NULL; ptr->rchild = NULL; } else if(ikey < ptr->info) /*Insertion in left subtree*/ ptr->lchild = insert(ptr->lchild, ikey); else if(ikey > ptr->info) /*Insertion in right subtree */ ptr->rchild = insert(ptr->rchild, ikey); else printf("\nDuplicate key\n"); return(ptr); }/*End of insert( )*/ void display(struct node *ptr,int level) { int i; if(ptr == NULL )/*Base Case*/ return; else { display(ptr->rchild, level+1); printf("\n"); for (i=0; i<level; i++) printf(" "); printf("%d", ptr->info); display(ptr->lchild, level+1); } }/*End of display()*/ int NodesAtLevel(struct node *ptr, int level) { if(ptr==NULL) return 0; if(level==0) return 1; return NodesAtLevel(ptr->lchild,level-1) + NodesAtLevel(ptr->rchild,level-1); }/*End of NodesAtLevel()*/ int height(struct node *ptr) { int h_left, h_right; if (ptr == NULL) /*Base Case*/ return 0; h_left = height(ptr->lchild); h_right = height(ptr->rchild); if (h_left > h_right) return 1 + h_left; else return 1 + h_right; }/*End of height()*/ int Width(struct node *root) { int i, n, max = 0; for(i=0; i<height(root); i++) if( (n=NodesAtLevel(root,i)) > max ) max = n; return max; }/*End of Width()*/ |
OUTPUT : :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 |
/* C Program to find Width of a Binary tree */ 1.Insert Tree 2.Display Tree 3.Width of Tree 4.Quit Enter your choice : 1 Enter the key to be inserted : 6 1.Insert Tree 2.Display Tree 3.Width of Tree 4.Quit Enter your choice : 1 Enter the key to be inserted : 4 1.Insert Tree 2.Display Tree 3.Width of Tree 4.Quit Enter your choice : 1 Enter the key to be inserted : 5 1.Insert Tree 2.Display Tree 3.Width of Tree 4.Quit Enter your choice : 1 Enter the key to be inserted : 3 1.Insert Tree 2.Display Tree 3.Width of Tree 4.Quit Enter your choice : 1 Enter the key to be inserted : 8 1.Insert Tree 2.Display Tree 3.Width of Tree 4.Quit Enter your choice : 1 Enter the key to be inserted : 7 1.Insert Tree 2.Display Tree 3.Width of Tree 4.Quit Enter your choice : 1 Enter the key to be inserted : 9 1.Insert Tree 2.Display Tree 3.Width of Tree 4.Quit Enter your choice : 2 9 8 7 6 5 4 3 1.Insert Tree 2.Display Tree 3.Width of Tree 4.Quit Enter your choice : 3 Width of Binary Tree = [ 4 ]. 1.Insert Tree 2.Display Tree 3.Width of Tree 4.Quit Enter your choice : 4 Process returned 1 |
If you found any error or any queries related to the above program or any questions or reviews , you wanna to ask from us ,you may Contact Us through our contact Page or you can also comment below in the comment section.We will try our best to reach up to you in short interval.
Thanks for reading the post…