通用树(每个节点可以有任意数量的子节点)级别顺序遍历
给定一个通用树,执行级别顺序遍历并打印其所有节点
例子:
Input : 10
/ / \ \
2 34 56 100
/ \ | / | \
77 88 1 7 8 9
Output : 10
2 34 56 100
77 88 1 7 8 9
Input : 1
/ / \ \
2 3 4 5
/ \ | / | \
6 7 8 9 10 11
Output : 1
2 3 4 5
6 7 8 9 10 11
解决这个问题的方法类似于二叉树中的级别顺序遍历。我们从将根节点推入队列开始,对于每个节点,我们将其弹出、打印并将其所有子节点推入队列。
在通用树的情况下,我们将子节点存储在向量中。因此,我们将向量的所有元素放入队列中。
C++
// CPP program to do level order traversal
// of a generic tree
#include
using namespace std;
// Represents a node of an n-ary tree
struct Node
{
int key;
vectorchild;
};
// Utility function to create a new tree node
Node *newNode(int key)
{
Node *temp = new Node;
temp->key = key;
return temp;
}
// Prints the n-ary tree level wise
void LevelOrderTraversal(Node * root)
{
if (root==NULL)
return;
// Standard level order traversal code
// using queue
queue q; // Create a queue
q.push(root); // Enqueue root
while (!q.empty())
{
int n = q.size();
// If this node has children
while (n > 0)
{
// Dequeue an item from queue and print it
Node * p = q.front();
q.pop();
cout << p->key << " ";
// Enqueue all children of the dequeued item
for (int i=0; ichild.size(); i++)
q.push(p->child[i]);
n--;
}
cout << endl; // Print new line between two levels
}
}
// Driver program
int main()
{
/* Let us create below tree
* 10
* / / \ \
* 2 34 56 100
* / \ | / | \
* 77 88 1 7 8 9
*/
Node *root = newNode(10);
(root->child).push_back(newNode(2));
(root->child).push_back(newNode(34));
(root->child).push_back(newNode(56));
(root->child).push_back(newNode(100));
(root->child[0]->child).push_back(newNode(77));
(root->child[0]->child).push_back(newNode(88));
(root->child[2]->child).push_back(newNode(1));
(root->child[3]->child).push_back(newNode(7));
(root->child[3]->child).push_back(newNode(8));
(root->child[3]->child).push_back(newNode(9));
cout << "Level order traversal Before Mirroring\n";
LevelOrderTraversal(root);
return 0;
}
Java
// Java program to do level order traversal
// of a generic tree
import java.util.*;
class GFG
{
// Represents a node of an n-ary tree
static class Node
{
int key;
Vectorchild = new Vector<>();
};
// Utility function to create a new tree node
static Node newNode(int key)
{
Node temp = new Node();
temp.key = key;
return temp;
}
// Prints the n-ary tree level wise
static void LevelOrderTraversal(Node root)
{
if (root == null)
return;
// Standard level order traversal code
// using queue
Queue q = new LinkedList<>(); // Create a queue
q.add(root); // Enqueue root
while (!q.isEmpty())
{
int n = q.size();
// If this node has children
while (n > 0)
{
// Dequeue an item from queue
// and print it
Node p = q.peek();
q.remove();
System.out.print(p.key + " ");
// Enqueue all children of
// the dequeued item
for (int i = 0; i < p.child.size(); i++)
q.add(p.child.get(i));
n--;
}
// Print new line between two levels
System.out.println();
}
}
// Driver Code
public static void main(String[] args)
{
/* Let us create below tree
* 10
* / / \ \
* 2 34 56 100
* / \ | / | \
* 77 88 1 7 8 9
*/
Node root = newNode(10);
(root.child).add(newNode(2));
(root.child).add(newNode(34));
(root.child).add(newNode(56));
(root.child).add(newNode(100));
(root.child.get(0).child).add(newNode(77));
(root.child.get(0).child).add(newNode(88));
(root.child.get(2).child).add(newNode(1));
(root.child.get(3).child).add(newNode(7));
(root.child.get(3).child).add(newNode(8));
(root.child.get(3).child).add(newNode(9));
System.out.println("Level order traversal " +
"Before Mirroring ");
LevelOrderTraversal(root);
}
}
// This code is contributed by Rajput-Ji
Python3
# Python3 program to do level order traversal
# of a generic tree
# Represents a node of an n-ary tree
class Node:
def __init__(self, key):
self.key = key
self.child = []
# Utility function to create a new tree node
def newNode(key):
temp = Node(key)
return temp
# Prints the n-ary tree level wise
def LevelOrderTraversal(root):
if (root == None):
return;
# Standard level order traversal code
# using queue
q = [] # Create a queue
q.append(root); # Enqueue root
while (len(q) != 0):
n = len(q);
# If this node has children
while (n > 0):
# Dequeue an item from queue and print it
p = q[0]
q.pop(0);
print(p.key, end=' ')
# Enqueue all children of the dequeued item
for i in range(len(p.child)):
q.append(p.child[i]);
n -= 1
print() # Print new line between two levels
# Driver program
if __name__=='__main__':
''' Let us create below tree
10
/ / \ \
2 34 56 100
/ \ | / | \
77 88 1 7 8 9
'''
root = newNode(10);
(root.child).append(newNode(2));
(root.child).append(newNode(34));
(root.child).append(newNode(56));
(root.child).append(newNode(100));
(root.child[0].child).append(newNode(77));
(root.child[0].child).append(newNode(88));
(root.child[2].child).append(newNode(1));
(root.child[3].child).append(newNode(7));
(root.child[3].child).append(newNode(8));
(root.child[3].child).append(newNode(9));
print("Level order traversal Before Mirroring")
LevelOrderTraversal(root);
# This code is contributed by rutvik_56.
C#
// C# program to do level order traversal
// of a generic tree
using System;
using System.Collections.Generic;
class GFG
{
// Represents a node of an n-ary tree
public class Node
{
public int key;
public Listchild = new List();
};
// Utility function to create a new tree node
static Node newNode(int key)
{
Node temp = new Node();
temp.key = key;
return temp;
}
// Prints the n-ary tree level wise
static void LevelOrderTraversal(Node root)
{
if (root == null)
return;
// Standard level order traversal code
// using queue
Queue q = new Queue(); // Create a queue
q.Enqueue(root); // Enqueue root
while (q.Count != 0)
{
int n = q.Count;
// If this node has children
while (n > 0)
{
// Dequeue an item from queue
// and print it
Node p = q.Peek();
q.Dequeue();
Console.Write(p.key + " ");
// Enqueue all children of
// the dequeued item
for (int i = 0; i < p.child.Count; i++)
q.Enqueue(p.child[i]);
n--;
}
// Print new line between two levels
Console.WriteLine();
}
}
// Driver Code
public static void Main(String[] args)
{
/* Let us create below tree
* 10
* / / \ \
* 2 34 56 100
* / \ | / | \
* 77 88 1 7 8 9
*/
Node root = newNode(10);
(root.child).Add(newNode(2));
(root.child).Add(newNode(34));
(root.child).Add(newNode(56));
(root.child).Add(newNode(100));
(root.child[0].child).Add(newNode(77));
(root.child[0].child).Add(newNode(88));
(root.child[2].child).Add(newNode(1));
(root.child[3].child).Add(newNode(7));
(root.child[3].child).Add(newNode(8));
(root.child[3].child).Add(newNode(9));
Console.WriteLine("Level order traversal " +
"Before Mirroring ");
LevelOrderTraversal(root);
}
}
// This code is contributed by Rajput-Ji
Javascript
输出:
10
2 34 56 100
77 88 1 7 8 9