# 2. Add Two Numbers

Reference: LeetCode

Difficulty: Medium

## Problem

You are given two

`non-empty`

linked lists representing two non-negative integers. The digits are stored in`reverse order`

and each of their nodes contain a single digit. Add the two numbers and return it as a linked list.

**Note:** You may assume the two numbers do not contain any leading zero, except the number $0$ itself.

**Example:**

1 | Input: (2 -> 4 -> 3) + (5 -> 6 -> 4) |

## Analysis

The `carry`

must be either $0$ or $1$ because the largest possible sum of two digits is $9 + 9 + 1 = 19$.

**Test Case:**

1 | // When one list is longer than the other. |

### Simulation (Iteration)

Simulate digits-by-digits sum starting from the left.

**Note:**

- Use
`dummy`

head node of the returning list. Return`dummy`

‘s next. - Learn how to write better code of setting
`next`

(with null case).

1 | public ListNode addTwoNumbers(ListNode l1, ListNode l2) { |

**Time:** $O(\text{max}(M, N))$**Space:** $O(\text{max}(M, N))$

### Simulation (Recursion)

1 | public ListNode addTwoNumbers(ListNode l1, ListNode l2) { |

**Time:** $O(\text{max}(M, N))$**Space:** $O(\text{max}(M, N))$ including the call stack.

### Conversion

Instead of dealing with all the edge cases, just convert the linked lists to integers and convert the sum to a linked list.

**Time:** $O(\max(M, N))$**Space:** $O(\max(M, N))$