# Print all full nodes in a Binary Tree

Given a binary tree, print all nodes will are full nodes. **Full Nodes** are nodes which has both left and right children as non-empty.**Examples:**

Input : 10 / \ 8 2 / \ / 3 5 7 Output : 10 8 Input : 1 / \ 2 3 / \ 4 6 Output : 1 3

This is a simple problem. We do any of the traÂverÂsals (Inorder, PreÂorder, PosÂtorder, level order traversal) and keep printing nodes that have mode left and right children as non-NULL.

## C++

`// A C++ program to find the all full nodes in` `// a given binary tree` `#include <bits/stdc++.h>` `using` `namespace` `std;` `struct` `Node` `{` ` ` `int` `data;` ` ` `struct` `Node *left, *right;` `};` `Node *newNode(` `int` `data)` `{` ` ` `Node *temp = ` `new` `Node;` ` ` `temp->data = data;` ` ` `temp->left = temp->right = NULL;` ` ` `return` `temp;` `}` `// Traverses given tree in Inorder fashion and` `// prints all nodes that have both children as` `// non-empty.` `void` `findFullNode(Node *root)` `{` ` ` `if` `(root != NULL)` ` ` `{` ` ` `findFullNode(root->left);` ` ` `if` `(root->left != NULL && root->right != NULL)` ` ` `cout << root->data << ` `" "` `;` ` ` `findFullNode(root->right);` ` ` `}` `}` `// Driver program to test above function` `int` `main()` `{` ` ` `Node* root = newNode(1);` ` ` `root->left = newNode(2);` ` ` `root->right = newNode(3);` ` ` `root->left->left = newNode(4);` ` ` `root->right->left = newNode(5);` ` ` `root->right->right = newNode(6);` ` ` `root->right->left->right = newNode(7);` ` ` `root->right->right->right = newNode(8);` ` ` `root->right->left->right->left = newNode(9);` ` ` `findFullNode(root);` ` ` `return` `0;` `}` |

## Java

`// Java program to find the all full nodes in` `// a given binary tree` `public` `class` `FullNodes {` ` ` `// Traverses given tree in Inorder fashion and` ` ` `// prints all nodes that have both children as` ` ` `// non-empty.` ` ` `public` `static` `void` `findFullNode(Node root)` ` ` `{` ` ` `if` `(root != ` `null` `)` ` ` `{` ` ` `findFullNode(root.left);` ` ` `if` `(root.left != ` `null` `&& root.right != ` `null` `)` ` ` `System.out.print(root.data+` `" "` `);` ` ` `findFullNode(root.right);` ` ` `}` ` ` `}` ` ` `public` `static` `void` `main(String args[]) {` ` ` `Node root = ` `new` `Node(` `1` `);` ` ` `root.left = ` `new` `Node(` `2` `);` ` ` `root.right = ` `new` `Node(` `3` `);` ` ` `root.left.left = ` `new` `Node(` `4` `);` ` ` `root.right.left = ` `new` `Node(` `5` `);` ` ` `root.right.right = ` `new` `Node(` `6` `);` ` ` `root.right.left.right = ` `new` `Node(` `7` `);` ` ` `root.right.right.right = ` `new` `Node(` `8` `);` ` ` `root.right.left.right.left = ` `new` `Node(` `9` `);` ` ` `findFullNode(root);` ` ` `}` `}` `/* A binary tree node */` `class` `Node` `{` ` ` `int` `data;` ` ` `Node left, right;` ` ` `Node(` `int` `data)` ` ` `{` ` ` `left=right=` `null` `;` ` ` `this` `.data=data;` ` ` `}` `};` `//This code is contributed by Gaurav Tiwari` |

## Python3

`# Python3 program to find the all` `# full nodes in a given binary tree` `# Binary Tree Node` `""" utility that allocates a newNode` `with the given key """` `class` `newNode:` ` ` `# Construct to create a newNode` ` ` `def` `__init__(` `self` `, key):` ` ` `self` `.data ` `=` `key` ` ` `self` `.left ` `=` `None` ` ` `self` `.right ` `=` `None` `# Traverses given tree in Inorder` `# fashion and prints all nodes that` `# have both children as non-empty.` `def` `findFullNode(root) :` ` ` `if` `(root !` `=` `None` `) :` ` ` ` ` `findFullNode(root.left)` ` ` `if` `(root.left !` `=` `None` `and` ` ` `root.right !` `=` `None` `) :` ` ` `print` `(root.data, end ` `=` `" "` `)` ` ` `findFullNode(root.right)` `# Driver Code` `if` `__name__ ` `=` `=` `'__main__'` `:` ` ` `root ` `=` `newNode(` `1` `)` ` ` `root.left ` `=` `newNode(` `2` `)` ` ` `root.right ` `=` `newNode(` `3` `)` ` ` `root.left.left ` `=` `newNode(` `4` `)` ` ` `root.right.left ` `=` `newNode(` `5` `)` ` ` `root.right.right ` `=` `newNode(` `6` `)` ` ` `root.right.left.right ` `=` `newNode(` `7` `)` ` ` `root.right.right.right ` `=` `newNode(` `8` `)` ` ` `root.right.left.right.left ` `=` `newNode(` `9` `)` ` ` `findFullNode(root)` `# This code is contributed by` `# Shubham Singh(SHUBHAMSINGH10)` |

## C#

`// C# program to find the all full nodes in` `// a given binary tree` `using` `System;` `public` `class` `FullNodes` `{` ` ` `// Traverses given tree in Inorder fashion and` ` ` `// prints all nodes that have both children as` ` ` `// non-empty.` ` ` `static` `void` `findFullNode(Node root)` ` ` `{` ` ` `if` `(root != ` `null` `)` ` ` `{` ` ` `findFullNode(root.left);` ` ` `if` `(root.left != ` `null` `&& root.right != ` `null` `)` ` ` `Console.Write(root.data + ` `" "` `);` ` ` `findFullNode(root.right);` ` ` `}` ` ` `}` ` ` `public` `static` `void` `Main(String []args)` ` ` `{` ` ` `Node root = ` `new` `Node(1);` ` ` `root.left = ` `new` `Node(2);` ` ` `root.right = ` `new` `Node(3);` ` ` `root.left.left = ` `new` `Node(4);` ` ` `root.right.left = ` `new` `Node(5);` ` ` `root.right.right = ` `new` `Node(6);` ` ` `root.right.left.right = ` `new` `Node(7);` ` ` `root.right.right.right = ` `new` `Node(8);` ` ` `root.right.left.right.left = ` `new` `Node(9);` ` ` `findFullNode(root);` ` ` `}` `}` `/* A binary tree node */` `class` `Node` `{` ` ` `public` `int` `data;` ` ` `public` `Node left, right;` ` ` `public` `Node(` `int` `data)` ` ` `{` ` ` `left = right = ` `null` `;` ` ` `this` `.data = data;` ` ` `}` `};` `// This code is contributed by 29AjayKumar` |

## Javascript

`<script>` `// JavaScript program to find the all full nodes in` `// a given binary tree` `/* A binary tree node */` `class Node` `{` ` ` `constructor(data)` ` ` `{` ` ` `this` `.left=` `this` `.right=` `null` `;` ` ` `this` `.data=data;` ` ` `}` `}` `// Traverses given tree in Inorder fashion and` ` ` `// prints all nodes that have both children as` ` ` `// non-empty.` `function` `findFullNode(root)` `{` ` ` `if` `(root != ` `null` `)` ` ` `{` ` ` `findFullNode(root.left);` ` ` `if` `(root.left != ` `null` `&& root.right != ` `null` `)` ` ` `document.write(root.data+` `" "` `);` ` ` `findFullNode(root.right);` ` ` `}` `}` `let root = ` `new` `Node(1);` `root.left = ` `new` `Node(2);` `root.right = ` `new` `Node(3);` `root.left.left = ` `new` `Node(4);` `root.right.left = ` `new` `Node(5);` `root.right.right = ` `new` `Node(6);` `root.right.left.right = ` `new` `Node(7);` `root.right.right.right = ` `new` `Node(8);` `root.right.left.right.left = ` `new` `Node(9);` `findFullNode(root);` `// This code is contributed by rag2127` `</script>` |

**Output:**

1 3

**Time Complexity :** O(n)

**Space complexity:** O(n) for Recursive Stack Space in case of Skewed Tree

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