The linked list is a linear data structure. We are given a sorted linked list composed of integers. There are some numbers that may be repeated or repeated and we have to remove them. Since the given linked list is sorted, we can simply iterate over it and using a while loop we can remove duplicate nodes from it. We will implement appropriate code through discussion of time and space complexity to better understand the logic.
Example
Given linked list is: 1-> 2 -> 2 -> 3 -> 4 -> 4 -> 4 -> 5 -> 5 -> 5-> 6-> null Output: 1 -> 2 -> 3 -> 4 -> 5 -> 6 -> null
Instructions - The given linked list is sorted which makes it easy to find the duplicate elements and we can remove them by skipping if they are equal to the previous value.
Let’s see how the code is implemented
method
We will follow the steps below to resolve the issue -
First, we will create a class to provide structure for the nodes of the linked list.
Secondly, we will create functions that print the linked list and add new nodes to the existing linked list.
We will create a function to pass the head of the linked list from which duplicate elements are to be removed and it will return the head of the new linked list.
First, we will check if the linked list is empty or if its size is equal to 1. In these cases we return the head as is.
We will create two variables, one indicating the head and the other indicating the next node of the head.
If the values of the current node and the next node are equal, then we will move the next node to the next node and update the address of the next node of the current node.
Otherwise, we move to the next node and move the next node to its next node.
Finally we will return the header and print the value present in it.
Example
Let us implement the given steps in code for better understanding
// class to provide structure to linked list node class Node{ constructor(val){ this.value = val this.next = null } } // function to print the linked list function print(head){ var temp = head; if(head == null){ console.log("The given linked list is empty"); } else { 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){ var new_node = new Node(data); if(head == null){ head = new_node return new_node } else { tail.next = new_node; return new_node } } // function to remove the duplicate numbers function removeDupli(head){ // if linked list is empty if(head == null){ return head; } // if linked list is of size one if(head.next == null){ return head; } var temp = head var next = head.next while(next != null){ if(temp.value == next.value){ next = next.next; temp.next = next; } else { next = next.next; temp = temp.next; } } return head; } // defining linked list var head = new Node(1) var tail = head tail = add(2,head, tail) tail = add(2,head, tail) tail = add(3,head, tail) tail = add(4,head, tail) tail = add(4,head, tail) tail = add(4,head, tail) tail = add(5,head, tail) tail = add(5,head, tail) tail = add(5,head, tail) tail = add(6,head, tail) console.log("The given linked list is: ") print(head) // calling function to remove duplicate elements head = removeDupli(head) console.log("The Linked list after removal of duplicate integers is: ") print(head)
Time and space complexity
The time complexity of the above code is O(N), where N is the total number of nodes in the given linked list. The time complexity is linear because we only traverse the linked list once.
The space complexity of the above code is O(1) because we are not using any extra space.
in conclusion
In this tutorial, we implemented a JavaScript program to remove duplicate elements from a given sorted linked list. Since the linked list is sorted, all duplicate elements are adjacent to each other and can be easily removed by traversing it. The time complexity of the program we implemented is O(N) and the space complexity is O(1).
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