HomeLeetcode21. Merge Two Sorted Lists - Leetcode Solutions

21. Merge Two Sorted Lists – Leetcode Solutions

Description:

You are given the heads of two sorted linked lists list1 and list2.

Merge the two lists into one sorted list. The list should be made by splicing together the nodes of the first two lists.

Return the head of the merged linked list.

Examples:

Example 1:

Input: list1 = [1,2,4], list2 = [1,3,4]
Output: [1,1,2,3,4,4]

Example 2:

Input: list1 = [], list2 = []
Output: []

Example 3:

Input: list1 = [], list2 = [0]
Output: [0]

Solution in Python:

To merge two sorted linked lists into one sorted linked list in Python, you can follow these steps:

  1. Create a Dummy Node: This dummy node will help in easily managing the head of the merged linked list.
  2. Initialize Pointers: Use two pointers to traverse through the given linked lists and another pointer to build the merged linked list.
  3. Compare Nodes: At each step, compare the current nodes of both lists and attach the smaller node to the merged list.
  4. Advance Pointers: Move the pointer of the list from which the node was taken forward.
  5. Attach Remaining Nodes: After one list is exhausted, attach the remaining nodes of the other list to the merged list.
  6. Return the Merged List: The head of the merged list is the next node of the dummy node.
Python
# Definition for singly-linked list.
class ListNode:
    def __init__(self, val=0, next=None):
        self.val = val
        self.next = next

class Solution:
    def mergeTwoLists(self, list1: ListNode, list2: ListNode) -> ListNode:
        # Create a dummy node to simplify the merging process
        dummy = ListNode()
        current = dummy
        
        # Traverse through both lists
        while list1 and list2:
            # Compare the current nodes of both lists
            if list1.val < list2.val:
                current.next = list1
                list1 = list1.next
            else:
                current.next = list2
                list2 = list2.next
            # Move the current pointer of the merged list
            current = current.next
        
        # Attach the remaining nodes of list1, if any
        if list1:
            current.next = list1
        
        # Attach the remaining nodes of list2, if any
        if list2:
            current.next = list2
        
        # The head of the merged list is the next node of the dummy node
        return dummy.next

# Example usage:
# list1 = [1,2,4], list2 = [1,3,4]
# Construct the linked lists from the arrays
def build_list(arr):
    dummy = ListNode()
    current = dummy
    for num in arr:
        current.next = ListNode(num)
        current = current.next
    return dummy.next

def print_list(head):
    current = head
    while current:
        print(current.val, end=" -> ")
        current = current.next
    print("None")

# Create the linked lists
list1 = build_list([1, 2, 4])
list2 = build_list([1, 3, 4])

# Merge the lists
solution = Solution()
merged_list = solution.mergeTwoLists(list1, list2)

# Print the merged list
print_list(merged_list)  # Output: 1 -> 1 -> 2 -> 3 -> 4 -> 4 -> None

Explanation:

  1. Definition of ListNode:
    • The ListNode class represents a node in the linked list.
  2. mergeTwoLists Method:
    • The method takes two sorted linked lists (list1 and list2) and returns a single sorted linked list.
    • A dummy node is created to simplify the list merging process.
    • The current pointer is used to build the new merged list.
    • A while loop iterates through both lists, comparing nodes and attaching the smaller node to the merged list.
    • If one list is exhausted before the other, the remaining nodes of the non-exhausted list are attached to the merged list.
    • Finally, the method returns the merged list starting from dummy.next.
  3. Helper Functions:
    • build_list converts an array into a linked list.
    • print_list prints the linked list for verification.

This solution ensures that the merged list is sorted and efficiently handles the merging process in linear time.

Solution in Javascript:

JavaScript
// Definition for singly-linked list.
function ListNode(val, next) {
    this.val = (val === undefined ? 0 : val);
    this.next = (next === undefined ? null : next);
}

/**
 * @param {ListNode} list1
 * @param {ListNode} list2
 * @return {ListNode}
 */
var mergeTwoLists = function(list1, list2) {
    // Create a dummy node to simplify the merging process
    let dummy = new ListNode();
    let current = dummy;
    
    // Traverse through both lists
    while (list1 !== null && list2 !== null) {
        // Compare the current nodes of both lists
        if (list1.val < list2.val) {
            current.next = list1;
            list1 = list1.next;
        } else {
            current.next = list2;
            list2 = list2.next;
        }
        // Move the current pointer of the merged list
        current = current.next;
    }
    
    // Attach the remaining nodes of list1, if any
    if (list1 !== null) {
        current.next = list1;
    }
    
    // Attach the remaining nodes of list2, if any
    if (list2 !== null) {
        current.next = list2;
    }
    
    // The head of the merged list is the next node of the dummy node
    return dummy.next;
};

Solution in Java:

Java
/**
 * Definition for singly-linked list.
 * public class ListNode {
 *     int val;
 *     ListNode next;
 *     ListNode() {}
 *     ListNode(int val) { this.val = val; }
 *     ListNode(int val, ListNode next) { this.val = val; this.next = next; }
 * }
 */
class Solution {
    public ListNode mergeTwoLists(ListNode list1, ListNode list2) {
        // Create a dummy node to serve as the start of the merged list
        ListNode dummy = new ListNode(0);
        // Initialize current to point to the dummy node
        ListNode current = dummy;

        // Traverse both lists until one of them is exhausted
        while (list1 != null && list2 != null) {
            // Compare the values of the current nodes of both lists
            if (list1.val <= list2.val) {
                // If list1's value is smaller or equal, append it to the merged list
                current.next = list1;
                // Move the pointer of list1 forward
                list1 = list1.next;
            } else {
                // If list2's value is smaller, append it to the merged list
                current.next = list2;
                // Move the pointer of list2 forward
                list2 = list2.next;
            }
            // Move the current pointer forward
            current = current.next;
        }

        // At this point, at least one of the lists is exhausted
        // Append the remaining nodes of the non-exhausted list
        if (list1 != null) {
            current.next = list1;
        } else {
            current.next = list2;
        }

        // Return the head of the merged list, which is next of dummy
        return dummy.next;
    }
}

Solution in C#:

C#
/**
 * Definition for singly-linked list.
 * public class ListNode {
 *     public int val;
 *     public ListNode next;
 *     public ListNode(int val=0, ListNode next=null) {
 *         this.val = val;
 *         this.next = next;
 *     }
 * }
 */
public class Solution {
    public ListNode MergeTwoLists(ListNode list1, ListNode list2) {
        // Create a dummy node to simplify the merging process
        ListNode dummy = new ListNode();
        ListNode current = dummy;
        
        // Traverse through both lists
        while (list1 != null && list2 != null) {
            // Compare the current nodes of both lists
            if (list1.val < list2.val) {
                current.next = list1;
                list1 = list1.next;
            } else {
                current.next = list2;
                list2 = list2.next;
            }
            // Move the current pointer of the merged list
            current = current.next;
        }
        
        // Attach the remaining nodes of list1, if any
        if (list1 != null) {
            current.next = list1;
        }
        
        // Attach the remaining nodes of list2, if any
        if (list2 != null) {
            current.next = list2;
        }
        
        // The head of the merged list is the next node of the dummy node
        return dummy.next;
    }
}

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