Longest word in ternary search tree (original) (raw)

Last Updated : 17 Mar, 2023

Given a set of words represented in a ternary search tree, find the length of largest word among them.

Examples:

Input : {"Prakriti", "Raghav", "Rashi", "Sunidhi"} Output : Length of largest word in ternary search tree is: 8

Input : {"Boats", "Boat", "But", "Best"} Output : Length of largest word in ternary search tree is: 5

Prerequisite : Ternary Search Tree
The idea is to recursively search the max of left subtree, right subtree and equal tree.
If the current character is same as the root's character increment with 1.

Implementation:

C++ `

// C++ program to find the length of largest word // in ternary search tree #include #include #define MAX 50

using namespace std;

// A node of ternary search tree struct Node { char data;

// True if this character is last
// character of one of the words
unsigned isEndOfString : 1;

Node *left, *eq, *right;

// A utility function to create a new
// ternary search tree node
Node(char data)
{
    this->data = data;
    this->isEndOfString = 0;
    this->left = this->eq = this->right = nullptr;
}

};

// Function to insert a new word in a Ternary // Search Tree void insert(Node** root, const char* word) { // Base Case: Tree is empty if (!(*root)) *root = new Node(*word);

// If current character of word is smaller
// than root's character, then insert this
// word in left subtree of root
if (*word < (*root)->data)
    insert(&((*root)->left), word);

// If current character of word is greater
// than root's character, then insert this
// word in right subtree of root
else if (*word > (*root)->data)
    insert(&((*root)->right), word);

// If current character of word is same as
// root's character,
else
{
    if (*(word + 1))
        insert(&((*root)->eq), word + 1);

    // the last character of the word
    else
        (*root)->isEndOfString = 1;
}

}

// Function to find max of three numbers int max(int a, int b, int c) { int max; if (a >= b && a >= c) max = a; else if (b >= a && b >= c) max = b; else max = c;

return max;

}

// Function to find length of largest word in TST int maxLengthTST(Node* root) { if (root == nullptr) return 0; return max(maxLengthTST(root->left), maxLengthTST(root->eq) + 1, maxLengthTST(root->right)); }

// Driver program to test above functions int main() { Node* root = nullptr; insert(&root, "Prakriti"); insert(&root, "Raghav"); insert(&root, "Rashi"); insert(&root, "Sunidhi"); int value = maxLengthTST(root); cout << "Length of largest word in ternary search tree is: " << value << endl;

return 0;

}

// This code is contributed by Vaibhav

C

// C program to find the length of largest word // in ternary search tree #include <stdio.h> #include <stdlib.h> #define MAX 50

// A node of ternary search tree struct Node { char data;

// True if this character is last 

// character of one of the words unsigned isEndOfString: 1;

struct Node *left, *eq, *right;

};

// A utility function to create a new // ternary search tree node struct Node* newNode(char data) { struct Node* temp = (struct Node*) malloc(sizeof( struct Node )); temp->data = data; temp->isEndOfString = 0; temp->left = temp->eq = temp->right = NULL; return temp; }

// Function to insert a new word in a Ternary // Search Tree void insert(struct Node** root, char *word) { // Base Case: Tree is empty if (!(*root)) *root = newNode(*word);

// If current character of word is smaller
// than root's character, then insert this 
// word in left subtree of root
if ((*word) < (*root)->data)
    insert(&( (*root)->left ), word);

// If current character of word is greater
// than root's character, then insert this
// word in right subtree of root
else if ((*word) > (*root)->data)
    insert(&( (*root)->right ), word);

// If current character of word is same as
// root's character,
else
{
    if (*(word+1))
        insert(&( (*root)->eq ), word+1);

    // the last character of the word
    else
        (*root)->isEndOfString = 1;
}

}

// Function to find max of three numbers int max(int a, int b, int c) { int max; if (a >= b && a >= c) max = a; else if (b >= a && b >= c) max = b; else max = c; }

// Function to find length of largest word in TST int maxLengthTST(struct Node *root) { if (root == NULL) return 0; return max(maxLengthTST(root->left), maxLengthTST(root->eq)+1, maxLengthTST(root->right)); }

// Driver program to test above functions int main() { struct Node *root = NULL; insert(&root, "Prakriti"); insert(&root, "Raghav"); insert(&root, "Rashi"); insert(&root, "Sunidhi"); int value = maxLengthTST(root); printf("Length of largest word in " "ternary search tree is: %d\n", value);

return 0;

}

Java

// Java program to find the length of largest word // in ternary search tree public class GFG {

static final int MAX = 50;
  
// A node of ternary search tree
static class Node
{
    char data;
  
    // True if this character is last 
    // character of one of the words
    int isEndOfString = 1;
  
    Node left, eq, right;
    
    // constructor
    Node(char data)
    {
        this.data = data;
        isEndOfString = 0;
        left = null;
        eq = null;
        right = null;
    }
}

// Function to insert a new word in a Ternary 
// Search Tree
static Node insert(Node root, String word, int i)
{
    // Base Case: Tree is empty
    if (root == null)
        root = new Node(word.charAt(i));
  
    // If current character of word is smaller
    // than root's character, then insert this 
    // word in left subtree of root
    if (word.charAt(i) < root.data)
        root.left = insert(root.left, word, i);
  
    // If current character of word is greater
    // than root's character, then insert this
    // word in right subtree of root
    else if (word.charAt(i) > root.data)
        root.right = insert(root.right, word, i);
  
    // If current character of word is same as
    // root's character,
    else
    {
        if (i + 1 < word.length())
            root.eq = insert(root.eq, word, i + 1);
  
        // the last character of the word
        else
            root.isEndOfString = 1;
    }
    return root;
}
 
 
// Function to find max of three numbers
static int max(int a, int b, int c)
{
    int max;
    if (a >= b && a >= c)
        max = a;
    else if (b >= a && b >= c)
        max = b;
    else
        max = c;
    return max;
}
 
// Function to find length of largest word in TST
static int maxLengthTST(Node root)
{
    if (root == null)
        return 0;
    return max(maxLengthTST(root.left), 
               maxLengthTST(root.eq)+1, 
               maxLengthTST(root.right));
}
 
// Driver program to test above functions
public static void main(String args[])
{
    Node root = null; 
    root = insert(root, "Prakriti", 0);
    root = insert(root, "Raghav",  0);
    root = insert(root, "Rashi", 0);
    root = insert(root, "Sunidhi", 0);
    int value = maxLengthTST(root);
    System.out.println("Length of largest word in "+
    "ternary search tree is: "+ value);
}

} // This code is contributed by Sumit Ghosh

Python3

MAX = 50

class Node:

def __init__(self,data):
    self.left = None
    self.right = None
    self.data = data
    self.isEndOfString = 0
    self.eq = None

Function to insert a word in a Ternary

Search Tree

def insert(root, word, i):

# Base Case: Tree is empty
if (root == None):
    root = Node(word[i])
    
# If current character of word is smaller
# than root's character, then insert self
# word in left subtree of root
if (word[i] < root.data):
    root.left = insert(root.left, word, i)

# If current character of word is greater
# than root's character, then insert self
# word in right subtree of root
elif (word[i] > root.data):
    root.right = insert(root.right, word, i)
    
# If current character of word is same as
# root's character,
else:
    if (i + 1 < len(word)):
        root.eq = insert(root.eq, word, i + 1)
    
    # the last character of the word
    else:
        root.isEndOfString = 1
return root
    
    

Function to find max of three numbers

def max(a, b, c):

if (a >= b and a >= c):
    Max = a
elif (b >= a and b >= c):
    Max = b
else:
    Max = c
return Max
    

Function to find length of largest word in TST

def maxLengthTST(root):

if (root == None):
        return 0
return max(maxLengthTST(root.left),
            maxLengthTST(root.eq)+1,
            maxLengthTST(root.right))

root = None root = insert(root, "Prakriti", 0) root = insert(root, "Raghav", 0) root = insert(root, "Rashi", 0) root = insert(root, "Sunidhi", 0) value = maxLengthTST(root) print("Length of largest word in ternary search tree is: "+ str(value))

This code is contributed by shinjanpatra

C#

// C# program to find the length of largest word // in ternary search tree using System;

class GFG {

static readonly int MAX = 50;
    
// A node of ternary search tree
public class Node
{
    public char data;
    
    // True if this character is last 
    // character of one of the words
    public int isEndOfString = 1;
    
    public Node left, eq, right;
    
    // constructor
    public Node(char data)
    {
        this.data = data;
        isEndOfString = 0;
        left = null;
        eq = null;
        right = null;
    }
}

// Function to insert a new word in a Ternary 
// Search Tree
static Node insert(Node root, String word, int i)
{
    // Base Case: Tree is empty
    if (root == null)
        root = new Node(word[i]);
    
    // If current character of word is smaller
    // than root's character, then insert this 
    // word in left subtree of root
    if (word[i] < root.data)
        root.left = insert(root.left, word, i);
    
    // If current character of word is greater
    // than root's character, then insert this
    // word in right subtree of root
    else if (word[i] > root.data)
        root.right = insert(root.right, word, i);
    
    // If current character of word is same as
    // root's character,
    else
    {
        if (i + 1 < word.Length)
            root.eq = insert(root.eq, word, i + 1);
    
        // the last character of the word
        else
            root.isEndOfString = 1;
    }
    return root;
}


// Function to find max of three numbers
static int max(int a, int b, int c)
{
    int max;
    if (a >= b && a >= c)
        max = a;
    else if (b >= a && b >= c)
        max = b;
    else
        max = c;
    return max;
}

// Function to find length of largest word in TST
static int maxLengthTST(Node root)
{
    if (root == null)
        return 0;
    return max(maxLengthTST(root.left), 
            maxLengthTST(root.eq) + 1, 
            maxLengthTST(root.right));
}

// Driver code
public static void Main()
{
    Node root = null; 
    root = insert(root, "Prakriti", 0);
    root = insert(root, "Raghav", 0);
    root = insert(root, "Rashi", 0);
    root = insert(root, "Sunidhi", 0);
    int value = maxLengthTST(root);
    Console.WriteLine("Length of largest word in "+
    "ternary search tree is: "+ value);
}

}

/* This code contributed by PrinciRaj1992 */

JavaScript

`

Output

Length of largest word in ternary search tree is: 8