數據結構樹二叉樹計算節點

Algorithm:

算法：

One of the popular traversal techniques to solve this kind of problems is level order tree traversal (Read: Level Order Traversal on a Binary Tree) where we use the concept of BFS.

解決此類問題的一種流行的遍歷技術是級別順序樹遍歷(閱讀： 二叉樹上的級別順序遍歷 )，我們使用BFS的概念。

The basic idea to solve the problem is:

解決問題的基本思路是：

Do a level order traversal and check whether the processed node has its left and right child both NULL.

進行級別順序遍歷，并檢查已處理節點的左，右子節點是否均為NULL 。

If the processed node has its left and right child both NULL, it’s a leaf node.

如果處理后的節點的左右子節點均為NULL，則為葉節點。

Increase leaf node count

增加葉節點數

Pseudocode:

偽代碼：

struct BT{ // tree node typeint data; //valuestruct BT *left; //pointer to left childstruct BT *right; //pointer to right child };int noofleafnodes(struct BT *root){ // root of the tree// BT refers to node of tree (datatype for the node);struct BT *temp; struct Queue *q=Creat_queue(); //creating a queueint count=0;if(!root) //root is nullreturn;//**using level oder search**EnQueue(q,root); // Enqueue the root in the queuewhile(!emptyQueue(q)){temp=DeQueue(q); //Dequeue// processing the node and checking whether both child nodes are NULL or not if(!temp->left && !temp->right) //increase no of leaves count if both child nodes are NULL (ensures it's a leaf node)count++; else{if(temp->left)EnQueue(q,temp->left); // if left child exists EnQueueif(temp->right)EnQueue(q,temp->right); // if right child exists EnQueue}}DeleteQueue(q);return count; // return no of leaf nodes }

Image source: wikipedia

圖片來源：Wikipedia

Example:

例：

The leaf nodes in the above tree is 2, 5, 11, 4

上面樹中的葉節點是2、5、11、4

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C++ implementation:

C ++實現：

#include <bits/stdc++.h> using namespace std;class tree{ // tree node is definedpublic:int data;tree *left;tree *right; };int noofleafnodes( tree *root){queue<tree*> q; // using stltree* temp;int count=0;q.push(root);while(!q.empty()){temp=q.front();q.pop();//process node and check wheather leaf node or notif(!temp->left && !temp->right){ count++;cout<<temp->data<<" ";}if(temp->left)q.push(temp->left); //EnQueueif(temp->right)q.push(temp->right); //EnQueue}cout<<endl;return count; } tree* newnode(int data) // creating new node { tree* node = (tree*)malloc(sizeof(tree)); node->data = data; node->left = NULL; node->right = NULL; return(node); } int main() { //**same tree is builted as shown in example**int c;tree *root=newnode(2); root->left= newnode(7); root->right= newnode(5); root->right->right=newnode(9);root->right->right->left=newnode(4);root->left->left=newnode(2); root->left->right=newnode(6);root->left->right->left=newnode(5);root->left->right->right=newnode(11);cout<<"printing the leaf nodes......"<<endl; c=noofleafnodes(root);cout<<"no of leaf nodes is : "<<c<<endl; return 0; }

Output

輸出量

printing the leaf nodes...... 2 5 11 4 no of leaf nodes is : 4

翻譯自: https://www.includehelp.com/data-structure-tutorial/find-the-number-of-leaf-nodes-in-a-binary-tree.aspx

數據結構樹二叉樹計算節點

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