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📜  打印二叉树中的所有 K-sum 级别

📅  最后修改于: 2021-09-03 03:22:41             🧑  作者: Mango

给定一个二叉树和一个整数K ,其中树有正节点和负节点,任务是打印总和等于K的级别的元素。如果不存在这样的结果,则打印“不可能”。

例子:

Input: 
            -10
           /    \
          2      -3
        /   \       \
       4     15      -6
      /       \      /
     7         -8   9 
K = 13
Output: 4 15 -6
Explanation: 
Level 1 (-10): Sum = -10
Level 2 (2, 3): Sum = 5
Level 3 (4, 15, -6): Sum = 13
Level 4 (7, -8, 9): Sum = 8
Only level 3 (4, 15, -6) has sum = K

Input:
                  1
                /  \ 
              12    13 
             /     /   \ 
            11    6    -11 
                   \    / 
                   2   2  
K = 30
Output:  Not Possible
Explanation: 
There is no such level whose sum = K

方法:

  • 执行二叉树的级别顺序遍历并存储找到每个级别的总和。
  • 如果总和等于 K,则打印级别。否则进入下一个级别。
  • 重复该过程,直到遍历并检查了所有级别。
  • 如果总和 K 不存在这样的级别,则打印“不可能”。

下面是上述方法的实现:

C++
// C++ program to print all
// K-sum levels in a Binary Tree
#include 
using namespace std;
 
// Vector to store the
// elements of a level
vector level;
 
// Binary Tree Node
struct node {
    struct node* left;
    int data;
    struct node* right;
};
 
// Function to display elements
void display(bool flag)
{
 
    // Check if boolean variable is true
    // then print the level
    if (flag) {
 
        for (auto x : level)
            cout << x << " ";
    }
 
    else
 
        cout << "Not Possible\n";
}
 
// Function to find sum of
// elements by level order traversal
void SumlevelOrder(node* root, int k)
{
 
    if (root == NULL)
        return;
 
    // Queue data structure for
    // level order traversal
    queue q;
 
    // Enqueue Root in Queue
    q.push(root);
 
    bool flag = false;
 
    while (q.empty() == false) {
 
        // number of nodes at current level
        int nodeCount = q.size();
 
        int Present_level_sum = 0;
 
        // Dequeue all nodes of current level and
        // Enqueue all nodes of next level
        while (nodeCount > 0) {
 
            node* node = q.front();
 
            // To add node data
            Present_level_sum += node->data;
 
            level.push_back(node->data);
 
            q.pop();
 
            if (node->left != NULL)
                q.push(node->left);
 
            if (node->right != NULL)
                q.push(node->right);
 
            nodeCount--;
        }
 
        if (Present_level_sum == k) {
 
            flag = true;
            break;
        }
 
        level.clear();
    }
 
    display(flag);
}
 
// Function to create a new tree node
node* newNode(int data)
{
    node* temp = new node;
    temp->data = data;
    temp->left = NULL;
    temp->right = NULL;
    return temp;
}
 
// Driver code
int main()
{
    // Create binary tree
    node* root = newNode(1);
 
    root->left = newNode(2);
    root->right = newNode(3);
 
    root->left->left = newNode(4);
    root->left->right = newNode(5);
    root->right->right = newNode(6);
 
    int K = 15;
 
    SumlevelOrder(root, K);
 
    return 0;
}


Java
// Java program to print all
// K-sum levels in a Binary Tree
import java.util.*;
 
class GFG{
  
// Vector to store the
// elements of a level
static Vector level = new Vector();
  
// Binary Tree Node
static class node {
    node left;
    int data;
    node right;
};
  
// Function to display elements
static void display(boolean flag)
{
  
    // Check if boolean variable is true
    // then print the level
    if (flag) {
  
        for (Integer x : level)
            System.out.print(x+ " ");
    }
  
    else
  
        System.out.print("Not Possible\n");
}
  
// Function to find sum of
// elements by level order traversal
static void SumlevelOrder(node root, int k)
{
  
    if (root == null)
        return;
  
    // Queue data structure for
    // level order traversal
    Queue q = new LinkedList<>();
  
    // Enqueue Root in Queue
    q.add(root);
  
    boolean flag = false;
  
    while (q.isEmpty() == false) {
  
        // number of nodes at current level
        int nodeCount = q.size();
  
        int Present_level_sum = 0;
  
        // Dequeue all nodes of current level and
        // Enqueue all nodes of next level
        while (nodeCount > 0) {
  
            node node = q.peek();
  
            // To add node data
            Present_level_sum += node.data;
  
            level.add(node.data);
  
            q.remove();
  
            if (node.left != null)
                q.add(node.left);
  
            if (node.right != null)
                q.add(node.right);
  
            nodeCount--;
        }
  
        if (Present_level_sum == k) {
  
            flag = true;
            break;
        }
  
        level.clear();
    }
  
    display(flag);
}
  
// Function to create a new tree node
static node newNode(int data)
{
    node temp = new node();
    temp.data = data;
    temp.left = null;
    temp.right = null;
    return temp;
}
  
// Driver code
public static void main(String[] args)
{
    // Create binary tree
    node root = newNode(1);
  
    root.left = newNode(2);
    root.right = newNode(3);
  
    root.left.left = newNode(4);
    root.left.right = newNode(5);
    root.right.right = newNode(6);
  
    int K = 15;
  
    SumlevelOrder(root, K);
  
}
}
 
// This code is contributed by 29AjayKumar


Python3
# Python3 program to prall
# K-sum levels in a Binary Tree
from collections import deque as queue
 
# A BST node
class Node:
     
    def __init__(self, x):
         
        self.data = x
        self.left = None
        self.right = None
 
# Vector to store the
# elements of a level
level = []
 
# Function to display elements
def display(flag):
     
    # Check if boolean variable is
    # true then print level
    if (flag):
        for x in level:
            print(x, end = " ")
    else:
        print("Not Possible\n")
 
# Function to find sum of elements
# by level order traversal
def SumlevelOrder(root, k):
     
    if (root == None):
        return
 
    # Queue data structure for
    # level order traversal
    q = queue()
 
    # Enqueue Root in Queue
    q.append(root)
 
    flag = False
 
    while (len(q) > 0):
 
        # Number of nodes at current level
        nodeCount = len(q)
 
        Present_level_sum = 0
 
        # Dequeue all nodes of current level
        # and Enqueue all nodes of next level
        while (nodeCount > 0):
            node = q.popleft()
 
            # To add node data
            Present_level_sum += node.data
 
            level.append(node.data)
 
            # q.pop()
 
            if (node.left != None):
                q.append(node.left)
 
            if (node.right != None):
                q.append(node.right)
 
            nodeCount -= 1
 
        if (Present_level_sum == k):
            flag = True
            break
 
        level.clear()
 
    display(flag)
 
# Driver code
if __name__ == '__main__':
     
    # Create binary tree
    root = Node(1)
 
    root.left = Node(2)
    root.right = Node(3)
 
    root.left.left = Node(4)
    root.left.right = Node(5)
    root.right.right = Node(6)
 
    K = 15
 
    SumlevelOrder(root, K)
 
# This code is contributed by mohit kumar 29


C#
// C# program to print all
// K-sum levels in a Binary Tree
using System;
using System.Collections.Generic;
 
class GFG{
   
// List to store the
// elements of a level
static List level = new List();
   
// Binary Tree Node
class node {
    public node left;
    public int data;
    public node right;
};
   
// Function to display elements
static void display(bool flag)
{
   
    // Check if bool variable is true
    // then print the level
    if (flag) {
   
        foreach (int x in level)
            Console.Write(x+ " ");
    }
   
    else
   
        Console.Write("Not Possible\n");
}
   
// Function to find sum of
// elements by level order traversal
static void SumlevelOrder(node root, int k)
{
   
    if (root == null)
        return;
   
    // Queue data structure for
    // level order traversal
    Queue q = new Queue();
   
    // Enqueue Root in Queue
    q.Enqueue(root);
   
    bool flag = false;
   
    while (q.Count!=0) {
   
        // number of nodes at current level
        int nodeCount = q.Count;
   
        int Present_level_sum = 0;
   
        // Dequeue all nodes of current level and
        // Enqueue all nodes of next level
        while (nodeCount > 0) {
   
            node node = q.Peek();
   
            // To add node data
            Present_level_sum += node.data;
   
            level.Add(node.data);
   
            q.Dequeue();
   
            if (node.left != null)
                q.Enqueue(node.left);
   
            if (node.right != null)
                q.Enqueue(node.right);
   
            nodeCount--;
        }
   
        if (Present_level_sum == k) {
   
            flag = true;
            break;
        }
   
        level.Clear();
    }
   
    display(flag);
}
   
// Function to create a new tree node
static node newNode(int data)
{
    node temp = new node();
    temp.data = data;
    temp.left = null;
    temp.right = null;
    return temp;
}
   
// Driver code
public static void Main(String[] args)
{
    // Create binary tree
    node root = newNode(1);
   
    root.left = newNode(2);
    root.right = newNode(3);
   
    root.left.left = newNode(4);
    root.left.right = newNode(5);
    root.right.right = newNode(6);
   
    int K = 15;
   
    SumlevelOrder(root, K);
   
}
}
  
// This code is contributed by sapnasingh4991


输出:
4 5 6

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