One-way linked list is a linear data structure that is stored in memory in a discontinuous manner. Each block is stored in memory by saving the address of the next block (also called a node). connect. A palindrome can be interpreted as a set of characters, numbers, etc., and reads the same from the front and back. We will get a singly linked list and have to find whether the values stored by the nodes are equal from the front and back.
enter
1 -> 2 -> 3 -> 3 -> 2 -> 1 -> null
Output
Yes, the given linked list is a palindrome.
illustrate
We can see that the first and last nodes have the same value, the second and penultimate node have the same value, and so on, with each node having the same distance from the front and back having the same value.
enter
1 -> 2 -> 3 -> 4 -> 2 -> 1 -> null
Output
No, the given linked list is not a palindrome.
illustrate
Here, the first and second nodes are equal to the last and penultimate nodes respectively, but the nodes after that do not have the same value.
Using the stack
In this method, we first create a linked list using this class and then define some basic functions to add data to the linked list and print the data present in the linked list.
Example
// class to create the structure of the nodes class Node{ constructor(data){ this.value = data; this.next = null; } } // function to print the linked list function print(head){ var temp = head; var ans = ""; while(temp.next != null){ ans += temp.value; ans += " -> " temp = temp.next } ans += temp.value ans += " -> null" console.log(ans) } // function to add data in linked list function add(data, head, tail){ return tail.next = new Node(data); } // function to find the string is palindrome or not function check(head){ var temp = head; var stack = []; // defining the stack while(temp != null){ stack.push(temp.value); temp = temp.next; } temp = head; while(temp != null){ if(temp.value != stack.pop()){ return false; } temp = temp.next; } return true; } // defining linked list var head = new Node(1) var tail = head tail = add(2,head, tail) tail = add(3,head, tail) tail = add(3,head, tail) tail = add(2,head, tail) tail = add(1,head, tail) console.log("The given linked list is: ") print(head) // calling function to check if the current linked list is a palindrome or not if(check(head)){ console.log("Yes, the given linked list is a palindrome"); } else{ console.log("No, the given linked list is not a palindrome"); }
Time and space complexity
The time complexity of the above code is O(N), where N is the length of the linked list.
The space complexity of the above code is O(N) because we use a stack data structure to store the elements in it.
Use recursion
In this method, we first find the length of the given linked list and then use recursion to traverse to the middle of the linked list. If the length of the given linked list is odd, we will return the next to the middle node, otherwise we will return the middle node, and for each call we will get the corresponding node from behind from the recursive call.
Example
// class to create the structure of the nodes class Node{ constructor(data){ this.value = data; this.next = null; } } // function to print the linked list function print(head){ var temp = head; var ans = ""; while(temp.next != null){ ans += temp.value; ans += " -> " temp = temp.next } ans += temp.value ans += " -> null" console.log(ans) } // function to add data in linked list function add(data, head, tail){ return tail.next = new Node(data); } // recursive function function recursion(head, number, odd){ if(number == 0){ if(odd){ return head.next; } else{ return head; } } var temp = recursion(head.next, number-1, odd); // if the current value is not equal then don't move to the next node // by this we will not reach null in the end // indicated the not palindrome if(temp.value != head.value){ return temp; } else{ return temp.next; } } // function to check if the given linked list is palindrome or not function check(head){ var temp = head; var len = 0; // finding the length of the given linked list while(temp != null){ len++; temp = temp.next; } // calling the recursion function if(recursion(head, Math.floor(len/2), len & 1) == null){ return true; } else{ return false; } } // defining linked list var head = new Node(1) var tail = head tail = add(2,head, tail) tail = add(3,head, tail) tail = add(4,head, tail) tail = add(3,head, tail) tail = add(2,head, tail) tail = add(1,head, tail) console.log("The given linked list is: ") print(head) // calling function to check if the current linked list is a palindrome or not if(check(head)){ console.log("Yes, the given linked list is a palindrome"); } else{ console.log("No, the given linked list is not a palindrome"); }
in conclusion
In this tutorial, we implemented a JavaScript program to check whether a given linked list node contains a value in a palindrome. We implemented two codes using stack and recursion. The time complexity of the stack is O(N) and the space complexity is O(N). The space complexity of the recursive method is O(1) (only when the recursive call data is not consider).
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