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binary trees and function.cpp
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274 lines (272 loc) · 6.89 KB
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#include<stdio.h>
#include<stdlib.h>
#include<limits.h>
typedef struct node{
int data;
node *left, *right;
}node;
node *create_bt(int , int );
void function(node *);
// ----------------------------------------------------------------
int main()
{
printf("<< Welcome to Binary tree and its function >> \n");
node *root;
root = create_bt(INT_MIN, 0);
function(root);
}
// ----------------------------------------------------------------
void display(node *root)
{
if(root != NULL)
{
display(root->left);
printf("%d ",root->data);
display(root->right);
}
}
// ----------------------------------------------------------------
void pre(node *root)
{
if(root != NULL)
{
printf("%d ",root->data);
pre(root->left);
pre(root->right);
}
}
// ----------------------------------------------------------------
void post(node *root)
{
if(root != NULL)
{
post(root->left);
post(root->right);
printf("%d ",root->data);
}
}
// ----------------------------------------------------------------
void display_bt(node *root)
{
int ans;
printf("Enter your choice for type of display :\n");
printf("1. Pre-order\n");
printf("2. In-order\n");
printf("3. Post-order\n");
scanf("%d",&ans);
switch(ans)
{
case 1: pre(root);break;
case 3: post(root);break;
default: display(root);break;
}
}
// ----------------------------------------------------------------
int max(node *root)
{
if(root != NULL)
{
int x, y, z;
x = max(root->left);
y = root->data;
z = max(root->right);
if(x > y)
{
if(x > z)
return x;
else
return z;
}
else
{
if(y > z)
return y;
else
return z;
}
}
else
return INT_MIN;
}
// ----------------------------------------------------------------
int min(node *root)
{
if(root != NULL)
{
int x, y, z;
x = min(root->left);
y = root->data;
z = min(root->right);
if(x < y)
{
if(x < z)
return x;
else if (z < x)
return z;
}
else if(y < x)
{
if(y < z)
return y;
else
return z;
}
}
else
return INT_MAX;
}
// ----------------------------------------------------------------
int sum(node *root)
{
int x = 0, y = 0, z = 0 ;
if(root != NULL)
{
x = sum(root->left);
y = root->data;
z = sum(root->right);
return x+y+z;
}
return 0;
}
// ----------------------------------------------------------------
int heigth(node *root)
{
if(root == NULL)
return 0;
else
{
int lh , rh;
lh = heigth(root->left);
rh = heigth(root->right);
if(lh > rh)
return lh+1;
else
return rh+1;
}
}
// ----------------------------------------------------------------
int total_node(node *root)
{
if(root == NULL)
return 0;
else
{
int x, y;
x = total_node(root->left);
y = total_node(root->right);
return x+y+1;
}
}
// ----------------------------------------------------------------
int leaf_node(node *root)
{
if(root != NULL)
{
if(root->left == NULL && root->right == NULL)
return 1;
else
{
int right, left;
left = leaf_node(root->left);
right = leaf_node(root->right);
return (left + right );
}
}
return 0;
}
// ----------------------------------------------------------------
void Search(node *root, int search)
{
if(root != NULL)
{
if(root->data == search)
{
display(root);
printf("\n");
}
else
{
Search(root->left, search);
Search(root->right, search);
}
}
}
// ----------------------------------------------------------------
void function(node *root)
{
int result, search;
while(1)
{
int res;
printf("Enter your choice: \n");
printf("1. Display\n");
printf("2. Maximum in binary tree\n");
printf("3. Minimum in binary tree\n");
printf("4. Sum of data in binary tree\n");
printf("5. Height of binary tree\n");
printf("6. Leaf node of binary tree\n");
printf("7. Total nodes\n");
printf("8. Search element in binary tree\n");
printf("9. Exit\n");
scanf("%d",&res);
if(res == 9)
break;
else
{
switch(res)
{
case 1:display_bt(root);break;
case 2:result = max(root);
printf("MAX : %d", result);
break;
case 3:result = min(root);
printf("MIN : %d", result);
break;
case 4:result = sum(root);
printf("SUM : %d", result);
break;
case 5:result = heigth(root);
printf("Height of tree : %d" ,result);
break;
case 6:result = leaf_node(root);
printf("Leaf node : %d ",result);
break;
case 7: result = total_node(root);
printf("Total number of nodes : %d ", result);
break;
case 8: printf("Enter element to be searched :");
scanf("%d",&search);
Search(root, search);
// if(result = -1)
// printf("............. NO , such element is found.............");
break;
default: printf("Wrong input....\n");break;
}
}
printf("\n");
}
}
// ----------------------------------------------------------------
node *create_bt(int val, int num)
{
int value;
node *root;
root = (node *)malloc(sizeof(node));
if(val == INT_MIN)
printf("Enter root element : ");
else if(val == 1)
printf("Enter left child of %d : ", num);
else
printf("Enter right child of %d : ", num);
scanf("%d",&value);
if(value == -1)
return NULL;
else
{
root->data = value;
root->left = create_bt(1, value);
root->right = create_bt(0, value);
}
return root;
}
// ----------------------------------------------------------------