Trees

trees

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+
+
+#include<iostream>
+using namespace std;
+
+class node
+{
+public:
+	int data;
+	node* left;
+	node* right;
+
+	node(int d)
+	{
+		data=d;
+		left=NULL;
+		right=NULL;
+	}
+};
+
+node* createTree()
+{
+
+	int d;
+	cin>>d;
+
+	if(d==-1)
+	{
+		return NULL;
+	}
+
+	node* root=new node(d);
+	cout<<"enter left child of "<<d<<" : ";
+	root->left=createTree();
+	cout<<"enter right child of "<<d<<" : ";
+	root->right=createTree();
+
+	return root;
+
+}
+
+void preOrder(node* root)
+{
+	if(root==NULL)
+	{
+		return;
+	}
+
+	cout<<root->data<<" ";
+	preOrder(root->left);
+	preOrder(root->right);
+}
+
+void postOrder(node* root)
+{
+	if(root==NULL)
+	{
+		return;
+	}
+
+	postOrder(root->left);
+	postOrder(root->right);
+	cout<<root->data<<" ";
+}
+
+void inOrder(node* root)
+{
+	if(root==NULL)
+	{
+		return;
+	}
+
+	inOrder(root->left);
+	cout<<root->data<<" ";
+	inOrder(root->right);
+}
+
+int height(node* root)
+{
+	if(root==NULL)
+	{
+		return 0;
+	}
+
+	int leftChildHeight=height(root->left);
+	int rightChildHeight=height(root->right);
+
+	int h=max(leftChildHeight,rightChildHeight)+1;
+	return h;
+}
+
+int count(node* root)
+{
+	if(root==NULL)
+	{
+		return 0;
+	}
+
+	int leftCount=count(root->left);
+	int rightCount=count(root->right);
+
+	int totalCount=leftCount+rightCount+1;
+	return totalCount;
+}
+
+int diameter(node* root)
+{
+	if(root==NULL)
+	{
+		return 0;
+	}
+
+	int op1=height(root->left)+height(root->right);
+	int op2=diameter(root->left);
+	int op3=diameter(root->right);
+
+	int ans=max(op1,max(op2,op3));
+	return ans;
+}
+
+class Pair
+{
+public:
+	int Height;
+	int Diameter;
+};
+
+
+Pair fastDiameter(node* root)
+{
+	Pair p;
+	if(root==NULL)
+	{
+		p.Height=0;
+		p.Diameter=0;
+		return p;
+	}
+
+	Pair left=fastDiameter(root->left);
+	Pair right=fastDiameter(root->right);
+
+	p.Height=max(left.Height,right.Height)+1;
+
+	int op1=left.Height+right.Height;
+	int op2=left.Diameter;
+	int op3=right.Diameter;
+
+	p.Diameter=max(op1,max(op2,op3));
+
+	return p;
+
+
+}
+
+
+
+int main()
+{
+
+	node *root=createTree();
+
+	cout<<"preOrder traversal is  : ";
+	preOrder(root);
+	cout<<endl;
+	cout<<endl;
+
+
+	cout<<"postOrder traversal is : ";
+	postOrder(root);
+	cout<<endl;
+	cout<<endl;
+
+
+	cout<<"inOrder traversal is : ";
+	inOrder(root);
+	cout<<endl;
+	cout<<endl;
+
+	cout<<"height of tree is : ";
+	cout<<height(root);
+	cout<<endl;
+	cout<<endl;
+
+
+	cout<<"count of nodes are : ";
+	cout<<count(root);
+	cout<<endl;
+	cout<<endl;
+
+	Pair p=fastDiameter(root);
+	cout<<"height using fastDiameter is "<<p.Height<<endl;
+	cout<<"diameter using fastDiameter is "<<p.Diameter<<endl;
+
+	return 0;
+}
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