Given a linked list and two keys in it, swap nodes for two given keys. Nodes should be swapped by changing links. Swapping data of nodes may be expensive in many situations when data contains many fields.
It may be assumed that all keys in the linked list are distinct.
Examples:
Input : 10->15->12->13->20->14, x = 12, y = 20 Output: 10->15->20->13->12->14 Input : 10->15->12->13->20->14, x = 10, y = 20 Output: 20->15->12->13->10->14 Input : 10->15->12->13->20->14, x = 12, y = 13 Output: 10->15->13->12->20->14
This may look a simple problem, but is an interesting question as it has the following cases to be handled.
- x and y may or may not be adjacent.
- Either x or y may be a head node.
- Either x or y may be the last node.
- x and/or y may not be present in the linked list.
How to write a clean working code that handles all the above possibilities.
The idea is to first search x and y in the given linked list. If any of them is not present, then return. While searching for x and y, keep track of current and previous pointers. First change next of previous pointers, then change next of current pointers.
Below is the implementation of the above approach.
C++
// C++ program to swap the nodes of linked list rather// than swapping the field from the nodes.#include <bits/stdc++.h>using namespace std;// A linked list node class Node { public: int data; Node* next;};// Function to swap nodes x and y in // linked list by changing links void swapNodes(Node** head_ref, int x, int y){ // Nothing to do if x and y // are same if (x == y) return; // Search for x (keep track of // prevX and CurrX Node *prevX = NULL, *currX = *head_ref; while (currX && currX->data != x) { prevX = currX; currX = currX->next; } // Search for y (keep track of // prevY and CurrY Node *prevY = NULL, *currY = *head_ref; while (currY && currY->data != y) { prevY = currY; currY = currY->next; } // If either x or y is not present, // nothing to do if (currX == NULL || currY == NULL) return; // If x is not head of linked list if (prevX != NULL) prevX->next = currY; else // Else make y as new head *head_ref = currY; // If y is not head of linked list if (prevY != NULL) prevY->next = currX; else // Else make x as new head *head_ref = currX; // Swap next pointers Node* temp = currY->next; currY->next = currX->next; currX->next = temp;}// Function to add a node at the// beginning of List void push(Node** head_ref, int new_data){ // Allocate node Node* new_node = new Node(); // Put in the data new_node->data = new_data; // Link the old list off the new node new_node->next = (*head_ref); // Move the head to point to the // new node (*head_ref) = new_node;}// Function to print nodes in a // given linked list void printList(Node* node){ while (node != NULL) { cout << node->data << " "; node = node->next; }}// Driver codeint main(){ Node* start = NULL; /* The constructed linked list is: 1->2->3->4->5->6->7 */ push(&start, 7); push(&start, 6); push(&start, 5); push(&start, 4); push(&start, 3); push(&start, 2); push(&start, 1); cout << "Linked list before calling swapNodes() "; printList(start); swapNodes(&start, 4, 3); cout << "Linked list after calling swapNodes() "; printList(start); return 0;}// This is code is contributed by rathbhupendra |
Output:
Linked list before calling swapNodes() 1 2 3 4 5 6 7 Linked list after calling swapNodes() 1 2 4 3 5 6 7
Time Complexity: O(n)
Auxiliary Space: O(1)
Optimizations: The above code can be optimized to search x and y in single traversal. Two loops are used to keep program simple.
Simpler approach:
C++
// C++ program to swap two given nodes // of a linked list#include <iostream>using namespace std;// A linked list node classclass Node{ public: int data; class Node* next; // constructor Node(int val, Node* next) : data(val) , next(next) { } // print list from this // to last till null void printList() { Node* node = this; while (node != NULL) { cout << node->data << " "; node = node->next; } cout << endl; }};// Function to add a node// at the beginning of Listvoid push(Node** head_ref, int new_data){ // Allocate node (*head_ref) = new Node(new_data, *head_ref);}void swap(Node*& a, Node*& b){ Node* temp = a; a = b; b = temp;}void swapNodes(Node** head_ref, int x, int y){ // Nothing to do if x and // y are same if (x == y) return; Node **a = NULL, **b = NULL; // Search for x and y in the linked list // and store their pointer in a and b while (*head_ref) { if ((*head_ref)->data == x) { a = head_ref; } else if ((*head_ref)->data == y) { b = head_ref; } head_ref = &((*head_ref)->next); } // If we have found both a and b // in the linked list swap current // pointer and next pointer of these if (a && b) { swap(*a, *b); swap(((*a)->next), ((*b)->next)); }}// Driver codeint main(){ Node* start = NULL; // The constructed linked list is: // 1->2->3->4->5->6->7 push(&start, 7); push(&start, 6); push(&start, 5); push(&start, 4); push(&start, 3); push(&start, 2); push(&start, 1); cout << "Linked list before calling swapNodes() "; start->printList(); swapNodes(&start, 6, 1); cout << "Linked list after calling swapNodes() "; start->printList();} |
Output:
Linked list before calling swapNodes() 1 2 3 4 5 6 7 Linked list after calling swapNodes() 6 2 3 4 5 1 7
Time Complexity: O(n)
Auxiliary Space: O(1)
Please refer complete article on Swap nodes in a linked list without swapping data for more details!
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