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Palindrome pair in an array of words (or strings)

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Given a list of words, find if any of the two words can be joined to form a palindrome.

Examples: 

Input  : list[] = {"geekf", "geeks", "or", 
                            "keeg", "abc", "bc"}
Output : Yes
There is a pair "geekf" and "keeg"

Input : list[] =  {"abc", "xyxcba", "geekst", "or",
                                      "keeg", "bc"}
Output : Yes
There is a pair "abc" and "xyxcba"

Asked in : Google Interview 

Simple approach

1- Consider each pair one by one.
2- Check if any of the pairs forms a palindrome
   after concatenating them.
3- Return true, if any such pair exists.
4- Else, return false.

Implementation:

C++




// C++ program to find if there is a pair that
// can form a palindrome.
#include<bits/stdc++.h>
using namespace std;
  
// Utility function to check if a string is a
// palindrome
bool isPalindrome(string str)
{
    int len = str.length();
  
    // compare each character from starting
    // with its corresponding character from last
    for (int i = 0; i < len/2; i++ )
        if (str[i] != str[len-i-1])
            return false;
  
    return true;
}
  
// Function to check if a palindrome pair exists
bool checkPalindromePair(vector <string> vect)
{
    // Consider each pair one by one
    for (int i = 0; i< vect.size()-1; i++)
    {
        for (int j = i+1; j< vect.size() ; j++)
        {
            string check_str;
  
            // concatenate both strings
            check_str = vect[i] + vect[j];
  
            // check if the concatenated string is
            // palindrome
            if (isPalindrome(check_str))
                return true;
  
            // check for other combination of the two strings
            check_str = vect[j] + vect[i];
            if (isPalindrome(check_str))
                return true;
        }
    }
    return false;
}
  
// Driver code
int main()
{
    vector <string> vect = {"geekf", "geeks", "or",
                            "keeg", "abc", "bc"};
  
  
    checkPalindromePair(vect)? cout << "Yes" :
                               cout << "No";
    return 0;
}


Java




// Java program to find if there is a pair that
// can form a palindrome.
import java.util.Arrays;
import java.util.List;
public class Palin_pair1 {
          
    // Utility function to check if a string is a
    // palindrome
    static boolean isPalindrome(String str)
    {
        int len = str.length();
       
        // compare each character from starting
        // with its corresponding character from last
        for (int i = 0; i < len/2; i++ )
            if (str.charAt(i) != str.charAt(len-i-1))
                return false;
       
        return true;
    }
       
    // Function to check if a palindrome pair exists
    static boolean checkPalindromePair(List<String> vect)
    {
        // Consider each pair one by one
        for (int i = 0; i< vect.size()-1; i++)
        {
            for (int j = i+1; j< vect.size() ; j++)
            {
                String check_str = "";
       
                // concatenate both strings
                check_str = check_str + vect.get(i) + vect.get(j);
       
                // check if the concatenated string is
                // palindrome
                if (isPalindrome(check_str))
                    return true;
  
                check_str = vect.get(j) + vect.get(i);
       
                // check if the concatenated string is
                // palindrome
                if (isPalindrome(check_str))
                    return true;
            }
        }
        return false;
    }
       
    // Driver code
    public static void main(String args[])
    {
        List<String> vect = Arrays.asList("geekf", "geeks", "or",
                                "keeg", "abc", "bc");
       
       
        if (checkPalindromePair(vect) == true)
            System.out.println("Yes");
        else    
            System.out.println("No");
    }
}
//This code is contributed by Sumit Ghosh


Python3




# Python3 program to find if 
# there is a pair that
# can form a palindrome.
  
# Utility function to check 
# if a string is a palindrome
def isPalindrome(st):
  
    length = len(st)
  
    # Compare each character 
    # from starting with its 
    # corresponding character from last
    for i in range(length // 2):
        if (st[i] != st[length - i - 1]):
            return False
  
    return True
  
# Function to check if a 
# palindrome pair exists
def checkPalindromePair(vect):
  
    # Consider each pair one by one
    for i in range(len(vect) - 1):
        for j in range(i + 1, len(vect)):
              
            # Concatenate both strings
            check_str = vect[i] + vect[j]
  
            # Check if the concatenated 
            # string is palindrome
            if (isPalindrome(check_str)):
                return True
  
            # Check for other combination 
            # of the two strings
            check_str = vect[j] + vect[i]
            if (isPalindrome(check_str)):
                return True
    return False
    
# Driver code
if __name__ == "__main__":
    
    vect = ["geekf", "geeks", "or",
            "keeg", "abc", "bc"]
      
    if checkPalindromePair(vect):
        print("Yes")
    else:
        print ("No")
    
# This code is contributed by Chitranayal


C#




// C# program to find if there is a pair that
// can form a palindrome.
using System;
using System.Collections.Generic;
  
class GFG 
{
          
    // Utility function to check if 
    // a string is a palindrome
    static Boolean isPalindrome(String str)
    {
        int len = str.Length;
      
        // compare each character from starting
        // with its corresponding character from last
        for (int i = 0; i < len / 2; i++ )
            if (str[i] != str[len - i - 1])
                return false;
      
        return true;
    }
      
    // Function to check if a palindrome pair exists
    static Boolean checkPalindromePair(List<String> vect)
    {
        // Consider each pair one by one
        for (int i = 0; i< vect.Count - 1; i++)
        {
            for (int j = i + 1; j< vect.Count ; j++)
            {
                String check_str = "";
      
                // concatenate both strings
                check_str = check_str + vect[i] + vect[j];
      
                // check if the concatenated string is
                // palindrome
                if (isPalindrome(check_str))
                    return true;
  
                check_str = vect[j] + vect[j];
      
                // check if the concatenated string is
                // palindrome
                if (isPalindrome(check_str))
                    return true;
            }
        }
        return false;
    }
      
    // Driver code
    public static void Main(String []args)
    {
        List<String> vect = new List<String>(){"geekf", "geeks", "or",
                                                  "keeg", "abc", "bc"};
      
      
        if (checkPalindromePair(vect) == true)
            Console.WriteLine("Yes");
        else
            Console.WriteLine("No");
    }
}
  
// This code is contributed by Rajput-Ji


Javascript




<script>
  
// Javascript program to find if there 
// is a pair that can form a palindrome.
  
// Utility function to check if a 
// string is a palindrome
function isPalindrome(str)
{
    let len = str.length;
    
    // Compare each character from starting
    // with its corresponding character from last
    for(let i = 0; i < len / 2; i++ )
        if (str[i] != str[len - i - 1])
            return false;
    
    return true;
}
  
// Function to check if a palindrome pair exists
function checkPalindromePair(vect)
{
      
    // Consider each pair one by one
    for(let i = 0; i < vect.length - 1; i++)
    {
        for(let j = i + 1; j < vect.length; j++)
        {
            let check_str = "";
    
            // Concatenate both strings
            check_str = check_str + vect[i] + vect[j];
    
            // Check if the concatenated string is
            // palindrome
            if (isPalindrome(check_str))
                return true;
  
            check_str = vect[j] + vect[i];
    
            // Check if the concatenated string is
            // palindrome
            if (isPalindrome(check_str))
                return true;
        }
    }
    return false;
}
  
// Driver code
let vect = [ "geekf", "geeks", "or",
             "keeg", "abc", "bc" ]
               
if (checkPalindromePair(vect) == true)
    document.write("Yes");
else   
    document.write("No");
  
// This code is contributed by rag2127
  
</script>


Output

Yes

Time Complexity : O(n2k) 
Here n is the number of words in the list and k is the maximum length that is checked for a palindrome.

Auxiliary Space : O(1)

Efficient method:

It can be done efficiently by using the Trie data structure. The idea is to maintain a Trie of the reverse of all words. 

1) Create an empty Trie.
2) Do following for every word:-
    a) Insert reverse of current word.
    b) Also store up to which index it is 
       a palindrome.
3) Traverse list of words again and do following 
   for every word.
    a) If it is available in Trie then return true
    b) If it is partially available
         Check the remaining word is palindrome or not 
         If yes then return true that means a pair
         forms a palindrome.
         Note: Position upto which the word is palindrome
               is stored because of these type of cases.

C++




// C++ program to check if there is a pair that
// of above method using Trie
#include<bits/stdc++.h>
using namespace std;
#define ARRAY_SIZE(a) sizeof(a)/sizeof(a[0])
  
// Alphabet size (# of symbols)
#define ALPHABET_SIZE (26)
  
// Converts key current character into index
// use only 'a' through 'z' and lower case
#define CHAR_TO_INDEX(c) ((int)c - (int)'a')
  
// Trie node
struct TrieNode
{
    struct TrieNode *children[ALPHABET_SIZE];
    vector<int> pos; // To store palindromic
                     // positions in str
    int id;
  
    // isLeaf is true if the node represents
    // end of a word
    bool isLeaf;
};
  
// Returns new Trie node (initialized to NULLs)
struct TrieNode *getNode(void)
{
    struct TrieNode *pNode = new TrieNode;
    pNode->isLeaf = false;
    for (int i = 0; i < ALPHABET_SIZE; i++)
            pNode->children[i] = NULL;
  
    return pNode;
}
  
// Utility function to check if a string is a
// palindrome
bool isPalindrome(string str, int i, int len)
{
    // compare each character from starting
    // with its corresponding character from last
    while (i < len)
    {
        if (str[i] != str[len])
            return false;
        i++, len--;
    }
  
    return true;
}
  
// If not present, inserts reverse of key into Trie. If 
// the key is prefix of a Trie node, just mark leaf node
void insert(struct TrieNode* root, string key, int id)
{
    struct TrieNode *pCrawl = root;
  
    // Start traversing word from the last
    for (int level = key.length()-1; level >=0; level--)
    {
        // If it is not available in Trie, then
        // store it
        int index = CHAR_TO_INDEX(key[level]);
        if (!pCrawl->children[index])
            pCrawl->children[index] = getNode();
  
        // If current word is palindrome till this
        // level, store index of current word.
        if (isPalindrome(key, 0, level))
            (pCrawl->pos).push_back(id);
  
        pCrawl = pCrawl->children[index];
    }
    pCrawl->id = id;
    pCrawl->pos.push_back(id);
  
    // mark last node as leaf
    pCrawl->isLeaf = true;
}
  
// Returns true if key presents in Trie, else false
void search(struct TrieNode *root, string key,
            int id, vector<vector<int> > &result)
{
    struct TrieNode *pCrawl = root;
    for (int level = 0; level < key.length(); level++)
    {
        int index = CHAR_TO_INDEX(key[level]);
  
        // If it is present also check upto which index
        // it is palindrome
        if (pCrawl->id >= 0 && pCrawl->id != id &&
            isPalindrome(key, level, key.size()-1))
            result.push_back({id, pCrawl->id});
  
        // If not present then return
        if (!pCrawl->children[index])
            return;
  
        pCrawl = pCrawl->children[index];
    }
  
    for (int i: pCrawl->pos)
    {
        if (i == id)
            continue;
        result.push_back({id, i});
    }
}
  
// Function to check if a palindrome pair exists
bool checkPalindromePair(vector <string> vect)
{
    // Construct trie
    struct TrieNode *root = getNode();
    for (int i = 0; i < vect.size(); i++)
        insert(root, vect[i], i);
  
    // Search for different keys
    vector<vector<int> > result;
    for (int i=0; i<vect.size(); i++)
    {
        search(root, vect[i], i, result);
        if (result.size() > 0)
           return true;
    }
  
    return false;
}
  
// Driver code
int main()
{
    vector <string> vect = {"geekf", "geeks", "or",
                            "keeg", "abc", "bc"};
  
  
    checkPalindromePair(vect)? cout << "Yes" :
                               cout << "No";
    return 0;
}


Java




//Java program to check if there is a pair that
//of above method using Trie
import java.util.ArrayList;
import java.util.Arrays;
import java.util.List;
  
public class Palin_pair2 {
  
    // Alphabet size (# of symbols)
    static final int ALPHABET_SIZE = 26;
  
    // Trie node
    static class TrieNode {
        TrieNode[] children = new TrieNode[ALPHABET_SIZE];
        List<Integer> pos; // To store palindromic
                            // positions in str
        int id;
  
        // isLeaf is true if the node represents
        // end of a word
        boolean isLeaf;
  
        // constructor
        public TrieNode() {
            isLeaf = false;
            pos = new ArrayList<>();
            for (int i = 0; i < ALPHABET_SIZE; i++)
                children[i] = null;
        }
    }
  
    // Utility function to check if a string is a
    // palindrome
    static boolean isPalindrome(String str, int i, int len) {
        // compare each character from starting
        // with its corresponding character from last
        while (i < len) {
            if (str.charAt(i) != str.charAt(len))
                return false;
  
            i++;
            len--;
        }
        return true;
    }
  
    // If not present, inserts reverse of key into Trie. If
    // the key is prefix of a Trie node, just mark leaf node
    static void insert(TrieNode root, String key, int id) {
        TrieNode pCrawl = root;
  
        // Start traversing word from the last
        for (int level = key.length() - 1; level >= 0; level--) {
            // If it is not available in Trie, then
            // store it
            int index = key.charAt(level) - 'a';
            if (pCrawl.children[index] == null)
                pCrawl.children[index] = new TrieNode();
  
            // If current word is palindrome till this
            // level, store index of current word.
            if (isPalindrome(key, 0, level))
                (pCrawl.pos).add(id);
  
            pCrawl = pCrawl.children[index];
        }
        pCrawl.id = id;
        pCrawl.pos.add(id);
  
        // mark last node as leaf
        pCrawl.isLeaf = true;
    }
  
    // list to store result 
    static List<List<Integer>> result;
  
    // Returns true if key presents in Trie, else false
    static void search(TrieNode root, String key, int id) {
        TrieNode pCrawl = root;
        for (int level = 0; level < key.length(); level++) {
            int index = key.charAt(level) - 'a';
  
            // If it is present also check upto which index
            // it is palindrome
            if (pCrawl.id >= 0 && pCrawl.id != id
                    && isPalindrome(key, level, key.length() - 1)) {
                List<Integer> l = new ArrayList<>();
                l.add(id);
                l.add(pCrawl.id);
                result.add(l);
            }
  
            // If not present then return
            if (pCrawl.children[index] == null)
                return;
  
            pCrawl = pCrawl.children[index];
        }
  
        for (int i : pCrawl.pos) {
            if (i == id)
                continue;
            List<Integer> l = new ArrayList<>();
            l.add(id);
            l.add(i);
            result.add(l);
        }
    }
  
    // Function to check if a palindrome pair exists
    static boolean checkPalindromePair(List<String> vect) {
          
        // Construct trie
        TrieNode root = new TrieNode();
        for (int i = 0; i < vect.size(); i++)
            insert(root, vect.get(i), i);
  
        // Search for different keys
        result = new ArrayList<>();
        for (int i = 0; i < vect.size(); i++) {
            search(root, vect.get(i), i);
  
            if (result.size() > 0)
                return true;
        }
  
        return false;
    }
  
    // Driver code
    public static void main(String args[]) {
        List<String> vect = Arrays.asList("geekf", "geeks"
                            "or", "keeg", "abc", "bc");
  
        if (checkPalindromePair(vect) == true)
            System.out.println("Yes");
        else
            System.out.println("No");
    }
}
//This code is contributed by Sumit Ghosh


Python3




from typing import List
  
# Trie node class
class TrieNode:
    # Constructor
    def __init__(self):
        self.children = [None]*26
        self.pos = []  # To store palindromic positions in str
        self.id = None
        self.isLeaf = False  # isLeaf is True if the node represents end of a word
  
# Utility function to check if a string is a palindrome
def isPalindrome(s: str, i: int, j: int) -> bool:
    
    # Compare each character from starting with
    # its corresponding character from last
    while i < j:
        if s[i] != s[j]:
            return False
        i += 1
        j -= 1
    return True
  
# If not present, inserts reverse of key into Trie. If the key is prefix of a Trie node, just mark leaf node
def insert(root: TrieNode, key: str, id: int) -> None:
    pCrawl = root
  
    # Start traversing word from the last
    for level in range(len(key)-1, -1, -1):
        # If it is not available in Trie, then store it
        index = ord(key[level]) - ord('a')
        if not pCrawl.children[index]:
            pCrawl.children[index] = TrieNode()
  
        # If current word is palindrome till this level, store index of current word.
        if isPalindrome(key, 0, level):
            pCrawl.pos.append(id)
  
        pCrawl = pCrawl.children[index]
    pCrawl.id = id
    pCrawl.pos.append(id)
  
    # Mark last node as leaf
    pCrawl.isLeaf = True
  
# Returns true if key presents in Trie, else false
def search(root: TrieNode, key: str, id: int) -> None:
    pCrawl = root
    for level in range(len(key)):
        index = ord(key[level]) - ord('a')
  
        # If it is present also check up to which index it is palindrome
        if pCrawl.id is not None and pCrawl.id != id and isPalindrome(key, level, len(key)-1):
            l = [id, pCrawl.id]
            result.append(l)
  
        # If not present then return
        if not pCrawl.children[index]:
            return
  
        pCrawl = pCrawl.children[index]
  
    for i in pCrawl.pos:
        if i == id:
            continue
        l = [id, i]
        result.append(l)
  
# Function to check if a palindrome pair exists
def checkPalindromePair(vect: List[str]) -> bool:
    # Construct Trie
    root = TrieNode()
    for i in range(len(vect)):
        insert(root, vect[i], i)
  
    # Search for different keys
    global result
    result = []
    for i in range(len(vect)):
        search(root, vect[i], i)
  
        if len(result) > 0:
            return True
  
    return False
  
# Driver code
vect = ["geekf", "geeks", "or", "keeg", "abc", "bc"]
  
if checkPalindromePair(vect) == True:
    print("Yes")
else:
    print("No")


C#




// C# program to check if there is 
// a pair that of above method using Trie
using System;
using System.Collections.Generic;
  
class GFG
{
  
    // Alphabet size (# of symbols)
    static readonly int ALPHABET_SIZE = 26;
  
    // Trie node
    class TrieNode
    {
        public TrieNode[] children = new TrieNode[ALPHABET_SIZE];
        public List<int> pos; // To store palindromic
                              // positions in str
        public int id;
  
        // isLeaf is true if the node 
        // represents end of a word
        public Boolean isLeaf;
  
        // constructor
        public TrieNode()
        {
            isLeaf = false;
            pos = new List<int>();
            for (int i = 0; i < ALPHABET_SIZE; i++)
                children[i] = null;
        }
    }
  
    // Utility function to check if 
    // a string is a palindrome
    static Boolean isPalindrome(String str, 
                                int i, int len) 
    {
        // compare each character from starting
        // with its corresponding character from last
        while (i < len) 
        {
            if (str[i] != str[len])
                return false;
  
            i++;
            len--;
        }
        return true;
    }
  
    // If not present, inserts reverse of 
    // key into Trie. If the key is prefix of
    // a Trie node, just mark leaf node
    static void insert(TrieNode root, 
                       String key, int id)
    {
        TrieNode pCrawl = root;
  
        // Start traversing word from the last
        for (int level = key.Length - 1;
                 level >= 0; level--) 
        {
            // If it is not available in Trie, 
            // then store it
            int index = key[level] - 'a';
            if (pCrawl.children[index] == null)
                pCrawl.children[index] = new TrieNode();
  
            // If current word is palindrome till this
            // level, store index of current word.
            if (isPalindrome(key, 0, level))
                (pCrawl.pos).Add(id);
  
            pCrawl = pCrawl.children[index];
        }
        pCrawl.id = id;
        pCrawl.pos.Add(id);
  
        // mark last node as leaf
        pCrawl.isLeaf = true;
    }
  
    // list to store result 
    static List<List<int>> result;
  
    // Returns true if key presents 
    // in Trie, else false
    static void search(TrieNode root, 
                       String key, int id) 
    {
        TrieNode pCrawl = root;
        for (int level = 0; 
                 level < key.Length; level++) 
        {
            int index = key[level] - 'a';
  
            // If it is present also check 
            // upto which index it is palindrome
            if (pCrawl.id >= 0 && pCrawl.id != id && 
                isPalindrome(key, level, key.Length - 1)) 
            {
                List<int> l = new List<int>();
                l.Add(id);
                l.Add(pCrawl.id);
                result.Add(l);
            }
  
            // If not present then return
            if (pCrawl.children[index] == null)
                return;
  
            pCrawl = pCrawl.children[index];
        }
  
        foreach (int i in pCrawl.pos)
        {
            if (i == id)
                continue;
            List<int> l = new List<int>();
            l.Add(id);
            l.Add(i);
            result.Add(l);
        }
    }
  
    // Function to check if a palindrome pair exists
    static Boolean checkPalindromePair(List<String> vect)
    {
          
        // Construct trie
        TrieNode root = new TrieNode();
        for (int i = 0; i < vect.Count; i++)
            insert(root, vect[i], i);
  
        // Search for different keys
        result = new List<List<int>>();
        for (int i = 0; i < vect.Count; i++)
        {
            search(root, vect[i], i);
  
            if (result.Count > 0)
                return true;
        }
        return false;
    }
  
    // Driver code
    public static void Main(String []args) 
    {
        List<String> vect = new List<String>(){"geekf", "geeks"
                                               "or", "keeg"
                                               "abc", "bc"};
  
        if (checkPalindromePair(vect) == true)
            Console.WriteLine("Yes");
        else
            Console.WriteLine("No");
    }
}
  
// This code is contributed by Rajput-Ji


Javascript




// JavaScript program to check if there is a pair that
// of above method using Trie
const ALPHABET_SIZE = 26;
  
// Converts key current character into index
// use only 'a' through 'z' and lower case
function CHAR_TO_INDEX(c) {
    return c.charCodeAt() - 'a'.charCodeAt();
}
  
// Trie node
class TrieNode {
  constructor() {
    this.children = new Array(ALPHABET_SIZE).fill(null);
    this.pos = []; // To store palindromic positions in str
    this.id = -1;
      
    // isLeaf is true if the node represents end of a word
    this.isLeaf = false;
  }
}
  
// Returns new Trie node (initialized to NULLs)
function getNode() {
  const pNode = new TrieNode();
  return pNode;
}
  
// Utility function to check if a string is a palindrome
function isPalindrome(str, i, len) {
  while (i < len) {
    if (str[i] != str[len])
        return false;
    i++, len--;
  }
  return true;
}
  
// If not present, inserts reverse of key into Trie. If
// the key is prefix of a Trie node, just mark leaf node
function insert(root, key, id) {
  
  let pCrawl = root;
    
  // Start traversing word from the last
  for (let level = key.length - 1; level >= 0; level--) {
    
      // If it is not available in Trie, then store it
    const index = CHAR_TO_INDEX(key[level]);
      
    if (!pCrawl.children[index])
        pCrawl.children[index] = getNode();
  
    // If current word is palindrome till this level, store index of current word.
    if (isPalindrome(key, 0, level))
         pCrawl.pos.push(id);
  
    pCrawl = pCrawl.children[index];
  }
  pCrawl.id = id;
  pCrawl.pos.push(id);
    
  // mark last node as leaf
  pCrawl.isLeaf = true;
  
}
  
// Returns true if key presents in Trie, else false
function search(root, key, id, result) {
  
  let pCrawl = root;
    
  for (let level = 0; level < key.length; level++) {
    
    const index = CHAR_TO_INDEX(key[level]);
  
      // If it is present also check upto which index it is palindrome
      if (pCrawl.id >= 0 && pCrawl.id != id && isPalindrome(key, level, key.length - 1))
          result.push([id, pCrawl.id]);
  
      // If not present then return
      if (!pCrawl.children[index])
          return;
  
      pCrawl = pCrawl.children[index];
  }
  
  for (let i of pCrawl.pos) {
      if (i == id)
          continue;
      result.push([id, i]);
  }
  
}
  
// Function to check if a palindrome pair exists
function checkPalindromePair(vect) {
  
  // Construct trie
  const root = getNode();
    
  for (let i = 0; i < vect.length; i++)
      insert(root, vect[i], i);
  
  // Search for different keys
  const result = [];
    
  for (let i = 0; i < vect.length; i++) {
      search(root, vect[i], i, result);
        
      if (result.length > 0)
          return true;
  }
  
  return false;
  
}
  
// Driver code
  
const vect = ["geekf", "geeks", "or", "keeg", "abc", "bc"];
  
if (checkPalindromePair(vect)) {
    console.log("Yes");
else {
    console.log("No");
}
  
// This code is contributed by Amit Mangal.


Output

Yes

Time Complexity: O(nk2), Where n is the number of words in the list and k is the maximum length that is checked for palindrome.
Auxiliary Space: O(1)

Method 3:

Below given is a program which is based upon the above discussed algorithm, but instead of trie it uses hashmap datastructure for giving efficient storage and retrieval method.

Hence it reduces complexity a lot.

Implementation:

C++




// C++ program for above method 
#include <bits/stdc++.h>
using namespace std;
  
bool Function(vector<string> wordlist) 
{
  // storing word in reverse format along with their indices.
  unordered_map<string, int> hashmap_reverse;
  vector<pair<int, int>> ans;
  for (int i = 0; i < wordlist.size(); i++) {
    string word = wordlist[i];
    string reverse_word = string(word.rbegin(), word.rend());
    hashmap_reverse[reverse_word] = i;
  }
  
  // enumerating over all words and for each character of them
  for (int i = 0; i < wordlist.size(); i++) {
    string word = wordlist[i];
    for (int j = 0; j < word.size(); j++) {
      // #extracting left and right of them
      string left = word.substr(0, j + 1);
      string right = word.substr(j + 1);
      // checking if left exists and is palindrome and also right is present in map
      // this is to make sure the best edge case described holds.
      if (!left.empty() && left == string(left.rbegin(), left.rend()) && hashmap_reverse.count(right) && hashmap_reverse[right] != i) {
        ans.emplace_back(hashmap_reverse[right], i);
      }
      // normal case.
      if (right == string(right.rbegin(), right.rend()) && hashmap_reverse.count(left) && hashmap_reverse[left] != i) {
        ans.emplace_back(i, hashmap_reverse[left]);
      }
    }
  }
  return ans.empty() ? false : true;
}
  
int main() {
  vector<string> words = {"geekf", "geeks", "or","keeg", "abc", "bc"};
  (Function(words)==true)? cout <<  "True" : cout<< "False" ;
  cout<< endl;
  return 0;
}
  
// This code is contributed by Aman Kumar.


Java




import java.util.*;
  
public class Main {
    public static boolean Function(List<String> wordlist)
    {
        // storing word in reverse format along with their
        // indices.
        Map<String, Integer> hashmap_reverse
            = new HashMap<>();
        List<int[]> ans = new ArrayList<>();
  
        for (int i = 0; i < wordlist.size(); i++) {
            String word = wordlist.get(i);
            String reverse_word = new StringBuilder(word)
                                      .reverse()
                                      .toString();
            hashmap_reverse.put(reverse_word, i);
        }
        // enumerating over all words and for each character
        // of them
        for (int i = 0; i < wordlist.size(); i++) {
            String word = wordlist.get(i);
            for (int j = 0; j < word.length(); j++) {
                // #extracting left and right of them
                String left = word.substring(0, j + 1);
                String right = word.substring(j + 1);
                // checking if left exists and is palindrome
                // and also right is present in map this is
                // to make sure the best edge case described
                // holds.
                if (!left.isEmpty() && isPalindrome(left)
                    && hashmap_reverse.containsKey(right)
                    && hashmap_reverse.get(right) != i) {
                    ans.add(new int[] {
                        hashmap_reverse.get(right), i });
                }
                // normal case.
                if (isPalindrome(right)
                    && hashmap_reverse.containsKey(left)
                    && hashmap_reverse.get(left) != i) {
                    ans.add(new int[] {
                        i, hashmap_reverse.get(left) });
                }
            }
        }
        return !ans.isEmpty();
    }
  
    public static boolean isPalindrome(String str)
    {
        return str.equals(
            new StringBuilder(str).reverse().toString());
    }
  
    public static void main(String[] args)
    {
        List<String> words = Arrays.asList(
            "geekf", "geeks", "or", "keeg", "abc", "bc");
        System.out.println(Function(words));
    }
}


Python3




def function(wordlist):
  #storing word in reverse format along with their indices.
    
    hashmap_reverse = {word[::-1]: index for index, word in enumerate(wordlist)}
    ans = []
    #enumerating over all words and for each character of them
    for index, word in enumerate(wordlist):
        for i in range(len(word)):
          #extracting left and right of them 
            left, right = word[:i+1], word[i+1:]
            #checking if left exists and is palindrome and also right is present in map
            #this is to make sure the best edge case described holds.
              
            if not len(left) == 0 and left == left[::-1] and right in hashmap_reverse and hashmap_reverse[right] != index:
                ans.append([hashmap_reverse[right], index])
                
            #normal case.
            if right == right[::-1] and left in hashmap_reverse and hashmap_reverse[left] != index:
                ans.append([index, hashmap_reverse[left]])
    if len(ans)>0:
        return True
    return False
    
    
words = ["geekf", "geeks", "or","keeg", "abc", "bc"]
print(function(words))


C#




using System;
using System.Collections.Generic;
using System.Linq;
  
public class GFG {
    public static bool Function(List<string> wordlist)
    {
        // storing word in reverse format along with their
        // indices.
        Dictionary<string, int> hashmap_reverse
            = new Dictionary<string, int>();
        List<int[]> ans = new List<int[]>();
  
        for (int i = 0; i < wordlist.Count(); i++) {
            string word = wordlist[i];
            string reverse_word
                = new string(word.Reverse().ToArray());
            hashmap_reverse[reverse_word] = i;
        }
  
        // enumerating over all words and for each character
        // of them
        for (int i = 0; i < wordlist.Count(); i++) {
            string word = wordlist[i];
  
            for (int j = 0; j < word.Length; j++) {
                // extracting left and right of them
                string left = word.Substring(0, j + 1);
                string right = word.Substring(j + 1);
  
                // checking if left exists and is palindrome
                // and also right is present in map this is
                // to make sure the best edge case described
                // holds.
                if (!string.IsNullOrEmpty(left)
                    && isPalindrome(left)
                    && hashmap_reverse.ContainsKey(right)
                    && hashmap_reverse[right] != i) {
                    ans.Add(new int[] {
                        hashmap_reverse[right], i });
                }
  
                // normal case.
                if (isPalindrome(right)
                    && hashmap_reverse.ContainsKey(left)
                    && hashmap_reverse[left] != i) {
                    ans.Add(new int[] {
                        i, hashmap_reverse[left] });
                }
            }
        }
        return ans.Any();
    }
  
    public static bool isPalindrome(string str)
    {
        return str == new string(str.Reverse().ToArray());
    }
  
    static public void Main(string[] args)
    {
        List<string> words
            = new List<string>{ "geekf", "geeks", "or",
                                "keeg""abc",   "bc" };
        Console.WriteLine(Function(words));
    }
}
// This code is contributed by prasad264


Javascript




// Javascript program for above method 
function checkPalindromePairs(wordlist) {
    const hashmap_reverse = new Map();
    const ans = [];
  
    // storing word in reverse format along with their indices.
    for (let i = 0; i < wordlist.length; i++) {
        const word = wordlist[i];
        const reverse_word = word.split("").reverse().join("");
        hashmap_reverse.set(reverse_word, i);
    }
  
    // enumerating over all words and for each character of them
    for (let i = 0; i < wordlist.length; i++) {
        const word = wordlist[i];
        for (let j = 0; j < word.length; j++) {
            
            // #extracting left and right of them
            const left = word.substring(0, j + 1);
            const right = word.substring(j + 1);
            
            // checking if left exists and is palindrome and also right is present in map
            // this is to make sure the best edge case described holds.
            if (left.length > 0 && left === left.split("").reverse().join("") && hashmap_reverse.has(right) && hashmap_reverse.get(right) !== i) {
                ans.push([hashmap_reverse.get(right), i]);
            }
            
            // normal case.
            if (right === right.split("").reverse().join("") && hashmap_reverse.has(left) && hashmap_reverse.get(left) !== i) {
                ans.push([i, hashmap_reverse.get(left)]);
            }
        }
    }
    return ans.length > 0;
}
  
const words = ["geekf", "geeks", "or", "keeg", "abc", "bc"];
console.log(checkPalindromePairs(words) ? "True" : "False");


Output

True

Time Complexity: O(nl2) where n = length of array and l =  length of longest string.
Auxiliary Space: O(n)



Last Updated : 13 Sep, 2023
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