📌  相关文章
📜  计算给定树的节点,其加权字符串是回文

📅  最后修改于: 2021-10-25 04:43:58             🧑  作者: Mango

给定一棵树,以及所有节点的权重(以字符串的形式),任务是计算权重为回文的节点。

例子:

Input: 

Output: 3
Only the weights of the nodes 2, 3 and 5 are palindromes.

方法:在树上执行 dfs,对于每个节点,检查它的字符串是否为回文。如果是,则增加计数。

执行:

C++
// C++ implementation of the approach
#include 
using namespace std;
 
int cnt = 0;
 
vector graph[100];
vector weight(100);
 
// Function that returns true
// if x is a palindrome
bool isPalindrome(string x)
{
    int n = x.size();
    for (int i = 0; i < n / 2; i++) {
        if (x[i] != x[n - 1 - i])
            return false;
    }
    return true;
}
 
// Function to perform dfs
void dfs(int node, int parent)
{
 
    // Weight of the current node
    string x = weight[node];
 
    // If the weight is a palindrome
    if (isPalindrome(x))
        cnt += 1;
 
    for (int to : graph[node]) {
        if (to == parent)
            continue;
        dfs(to, node);
    }
}
 
// Driver code
int main()
{
 
    // Weights of the node
    weight[1] = "abc";
    weight[2] = "aba";
    weight[3] = "bcb";
    weight[4] = "moh";
    weight[5] = "aa";
 
    // Edges of the tree
    graph[1].push_back(2);
    graph[2].push_back(3);
    graph[2].push_back(4);
    graph[1].push_back(5);
 
    dfs(1, 1);
 
    cout << cnt;
 
    return 0;
}


Java
// Java implementation of the approach
import java.util.*;
 
class GFG
{
 
static int cnt = 0;
 
static Vector> graph = new Vector>();
static Vector weight = new Vector();
 
// Function that returns true
// if x is a palindrome
static boolean isPalindrome(String x)
{
    int n = x.length();
    for (int i = 0; i < n / 2; i++)
    {
        if (x.charAt(i) != x.charAt(n - 1 - i))
            return false;
    }
    return true;
}
 
// Function to perform dfs
static void dfs(int node, int parent)
{
 
    // Weight of the current node
    String x = weight.get(node);
     
 
    // If the weight is a palindrome
    if (isPalindrome(x))
        cnt += 1;
 
    for (int i=0;i());
     
    // Edges of the tree
    graph.get(1).add(2);
    graph.get(2).add(3);
    graph.get(2).add(4);
    graph.get(1).add(5);
    dfs(1, 1);
 
    System.out.println( cnt);
}
}
 
// This code is contributed by Arnab Kundu


Python3
# Python3 implementation of the approach
cnt = 0
 
graph = [0] * 100
for i in range(100):
    graph[i] = []
 
weight = ["0"] * 100
 
# Function that returns true
# if x is a palindrome
def isPalindrome(x):
    n = len(x)
 
    for i in range(0, n // 2):
        if x[i] != x[n - 1 - i]:
            return False
 
    return True
 
# Function to perform dfs
def dfs(node, parent):
    global cnt
 
    # Weight of the current node
    x = weight[node]
 
    # If the weight is a palindrome
    if (isPalindrome(x)):
        cnt += 1
 
    for to in graph[node]:
        if to == parent:
            continue
        dfs(to, node)
 
# Driver Code
if __name__ == "__main__":
 
    # Weights of the node
    weight[0] = ""
    weight[1] = "abc"
    weight[2] = "aba"
    weight[3] = "bcb"
    weight[4] = "moh"
    weight[5] = "aa"
 
    # Edges of the tree
    graph[1].append(2)
    graph[2].append(3)
    graph[2].append(4)
    graph[1].append(5)
 
    dfs(1, 1)
 
    print(cnt)
 
# This code is contributed by
# sanjeev2552


C#
// C# implementation of the approach
using System;
using System.Collections.Generic;
 
class GFG
{
 
    static int cnt = 0;
     
    static List> graph = new List>();
    static List weight = new List();
     
    // Function that returns true
    // if x is a palindrome
    static bool isPalindrome(string x)
    {
        int n = x.Length;
        for (int i = 0; i < n / 2; i++)
        {
            if (x[i] != x[n - 1 - i])
                return false;
        }
        return true;
    }
     
    // Function to perform dfs
    static void dfs(int node, int parent)
    {
     
        // Weight of the current node
        String x = weight[node];
     
        // If the weight is a palindrome
        if (isPalindrome(x))
            cnt += 1;
     
        for (int i = 0; i < graph[node].Count; i++)
        {
            if (graph[node][i] == parent)
                continue;
            dfs(graph[node][i], node);
        }
    }
     
    // Driver code
    public static void Main(String []args)
    {
     
        // Weights of the node
        weight.Add( "");
        weight.Add( "abc");
        weight.Add( "aba");
        weight.Add( "bcb");
        weight.Add( "moh");
        weight.Add( "aa");
         
        for(int i = 0; i < 100; i++)
        graph.Add(new List());
     
        // Edges of the tree
        graph[1].Add(2);
        graph[2].Add(3);
        graph[2].Add(4);
        graph[1].Add(5);
     
        dfs(1, 1);
     
        Console.WriteLine( cnt);
     
    }
}
 
// This code has been contributed by 29AjayKumar


Javascript


输出:
3

复杂度分析:

  • 时间复杂度: O(N*Len) 其中 Len 是给定树中节点的加权字符串的最大长度。
    在 DFS 中,树的每个节点都被处理一次,因此对于树中的 N 个节点,由于 DFS 的复杂性是 O(N)。此外,每个节点的处理都涉及遍历该节点的加权字符串一次,因此增加了 O(Len) 的复杂度,其中 Len 是加权字符串的长度。因此,总时间复杂度为 O(N*Len)。
  • 辅助空间: O(1)。
    不需要任何额外的空间,因此空间复杂度是恒定的。

如果您希望与专家一起参加现场课程,请参阅DSA 现场工作专业课程学生竞争性编程现场课程