700336. Multiply two linked lists
Here is a detailed Markdown blog post for the problem "Multiply two linked lists" on GeeksforGeeks:
Multiply two linked lists
Slug: multiply-two-linked-lists
Difficulty: Easy
Id: 700336
Topic Tags: Linked List, Modular Arithmetic, Data Structures, Algorithms
Company Tags: Amazon
Summary
This problem involves multiplying two linked lists. The key concepts involved are linked lists and modular arithmetic. We need to multiply the values of the nodes in the first list by the corresponding node values in the second list.
Detailed Explanation
To solve this problem, we will follow these steps:
- Initialize an empty linked list to store the result.
- Iterate through both input linked lists simultaneously using two pointers (or iterators).
- For each pair of nodes, multiply the values and add the product to the result linked list.
- If the result is greater than the maximum value that can be stored in a node (e.g., INT_MAX), then carry the overflow to the next node.
Here's an ASCII art diagram illustrating this process:
L1: 1 -> 2 -> 3
L2: 4 -> 5 -> 6
Result:
4 * 1 = 4 (add to result)
5 * 2 = 10 (carry) -> 4 + 0 = 4, add 10 to next node
6 * 3 = 18 (carry) -> 4 + 10 + 8 = 22, add 0 to next node
Result: 4 -> 10 -> 22
The time complexity of this algorithm is O(max(n, m)), where n and m are the lengths of the input linked lists. The space complexity is also O(max(n, m)) for storing the result.
Optimized Solutions
Java
class Node {
int val;
Node next;
public Node(int val) {
this.val = val;
this.next = null;
}
}
public class Solution {
public static Node multiply(Node l1, Node l2) {
// your code here
}
}