Count the nodes of the tree whose weighted string contains a vowel

Given a tree, and the weights (in the form of strings) of all the nodes, the task is to count the nodes whose weights contain a vowel.

Examples: 

Input: 
 

Output:
Only the strings of the nodes 1 and 5 contain vowels. 



Approach: Perform dfs on the tree and for every node, check if it’s string contains vowels, If yes then increment the count.

Below is the implementation of the above approach: 

C++

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// C++ implementation of the approach
#include <bits/stdc++.h>
using namespace std;
 
int cnt = 0;
 
vector<int> graph[100];
vector<string> weight(100);
 
// Function that returns true
// if the string contains any vowel
bool containsVowel(string str)
{
    for (int i = 0; i < str.length(); i++)
    {
        char ch = tolower(str[i]);
        if (ch == 'a' || ch == 'e' || ch == 'i' || ch == 'o'
            || ch == 'u')
            return true;
    }
    return false;
}
 
// Function to perform dfs
void dfs(int node, int parent)
{
 
    // Weight of the current node
    string x = weight[node];
 
    // If the weight contains any vowel
    if (containsVowel(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] = "geek";
    weight[2] = "btch";
    weight[3] = "bcb";
    weight[4] = "by";
    weight[5] = "mon";
 
    // Edges of the tree
    graph[1].push_back(2);
    graph[2].push_back(3);
    graph[2].push_back(4);
    graph[1].push_back(5);
 
    // Function call
    dfs(1, 1);
 
    cout << cnt;
 
    return 0;
}

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Java

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// Java implementation of the approach
import java.util.*;
 
class GFG {
 
    static int cnt = 0;
 
    static Vector<Vector<Integer> > graph
        = new Vector<Vector<Integer> >();
    static Vector<String> weight = new Vector<String>();
 
    // Function that returns true
    // if the String contains any vowel
    static boolean containsVowel(String str)
    {
        for (int i = 0; i < str.length(); i++)
        {
            char ch = str.charAt(i);
            if (ch < 97)
                ch += 32;
            if (ch == 'a' || ch == 'e' || ch == 'i'
                || ch == 'o' || ch == 'u')
                return true;
        }
        return false;
    }
 
    // Function to perform dfs
    static void dfs(int node, int parent)
    {
 
        // Weight of the current node
        String x = weight.get(node);
 
        // If the weight contains any vowel
        if (containsVowel(x))
            cnt += 1;
 
        for (int i = 0; i < graph.get(node).size(); i++)
        {
            if (graph.get(node).get(i) == parent)
                continue;
            dfs(graph.get(node).get(i), node);
        }
    }
 
    // Driver code
    public static void main(String args[])
    {
 
        // Weights of the node
        weight.add("");
        weight.add("geek");
        weight.add("btch");
        weight.add("bcb");
        weight.add("by");
        weight.add("mon");
 
        for (int i = 0; i < 100; i++)
            graph.add(new Vector<Integer>());
 
        // Edges of the tree
        graph.get(1).add(2);
        graph.get(2).add(3);
        graph.get(2).add(4);
        graph.get(1).add(5);
 
        // Function call
        dfs(1, 1);
 
        System.out.println(cnt);
    }
}
 
// This code is contributed by andrew1234

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Python

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# Python3 implementation of the approach
cnt = 0
 
graph = [[] for i in range(100)]
weight = [0 for i in range(100)]
 
# Function that returns True
# if the contains any vowel
 
 
def containsVowel(Str):
 
    for i in range(len(Str)):
        ch = Str[i]
        if (ch == 'a' or ch == 'e' or ch == 'i' or
                ch == 'o' or ch == 'u'):
            return True
 
    return False
 
 
# Function to perform dfs
def dfs(node, parent):
    global cnt
 
    # Weight of the current node
    x = weight[node]
 
    # If the weight contains any vowel
    if (containsVowel(x)):
        cnt += 1
 
    for to in graph[node]:
        if (to == parent):
            continue
        dfs(to, node)
 
# Driver code
 
 
# Weights of the node
weight[1] = "geek"
weight[2] = "btch"
weight[3] = "bcb"
weight[4] = "by"
weight[5] = "mon"
 
# Edges of the tree
graph[1].append(2)
graph[2].append(3)
graph[2].append(4)
graph[1].append(5)
 
# Function call
dfs(1, 1)
 
print(cnt)
 
# This code is contributed by mohit kumar 29

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C#

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// C# implementation of the approach
using System;
using System.Collections.Generic;
 
class GFG {
 
    static int cnt = 0;
 
    static List<List<int> > graph = new List<List<int> >();
    static List<String> weight = new List<String>();
 
    // Function that returns true
    // if the String contains any vowel
    static Boolean containsVowel(String str)
    {
        for (int i = 0; i < str.Length; i++)
        {
            char ch = str[i];
            if (ch < 97)
                ch += (char)32;
            if (ch == 'a' || ch == 'e' || ch == 'i'
                || ch == 'o' || ch == 'u')
                return true;
        }
        return false;
    }
 
    // Function to perform dfs
    static void dfs(int node, int parent)
    {
 
        // Weight of the current node
        String x = weight[node];
 
        // If the weight contains any vowel
        if (containsVowel(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("geek");
        weight.Add("btch");
        weight.Add("bcb");
        weight.Add("by");
        weight.Add("mon");
 
        for (int i = 0; i < 100; i++)
            graph.Add(new List<int>());
 
        // Edges of the tree
        graph[1].Add(2);
        graph[2].Add(3);
        graph[2].Add(4);
        graph[1].Add(5);
 
        // Function call
        dfs(1, 1);
 
        Console.WriteLine(cnt);
    }
}
 
// This code has been contributed by 29AjayKumar

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Output

2


Complexity Analysis:

Time Complexity: O(N*Len) where Len is the maximum length of the weighted string of a node in the given tree.
In DFS, every node of the tree is processed once and hence the complexity due to the DFS is O(N) for N nodes in the tree. Also, processing of every node involves traversing the weighted string of that node once, thus adding a complexity of O(Len) where Len is the length of the weighted string. Therefore, the total time complexity is O(N*Len).

Auxiliary Space: O(1).
Any extra space is not required, so the space complexity is constant.

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