docs(docs): add new problem pages for Rotate Image, Spiral Matrix, and Add Two Numbers

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Prad Nukala
2026-09-02 16:49:39 -04:00
parent a3ae16ad96
commit 090f3d6719
3 changed files with 153 additions and 0 deletions
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---
title: '48. Rotate Image'
description: You are given an n x n 2D matrix representing an image, rotate the image by 90 degrees (clockwise)
sidebar:
label: 'Rotate Image'
badge: 'Medium'
---
<Badge variant="accent">Matrix Index Math</Badge>
### Example 1:
- Input: `matrix = [[1,2,3],[4,5,6],[7,8,9]]`
- Output: `[[7,4,1],[8,5,2],[9,6,3]]`
### Example 2:
- Input: `matrix = [[5,1,9,11],[2,4,8,10],[13,3,6,7],[15,14,12,16]]`
- Output: `[[15,13,2,5],[14,3,4,1],[12,6,8,9],[16,7,10,11]]`
### Constraints:
- `n == matrix.length == matrix[i].length`
- `1 <= n <= 20`
- `-1000 <= matrix[i][j] <= 1000`
## Solution
```py
class Solution:
def rotate(self, matrix: List[List[int]]) -> None:
n = len(matrix)
for r in range(n):
for c in range(r + 1, n):
matrix[r][c], matrix[c][r] = matrix[c][r], matrix[r][c]
for r in range(n):
matrix[r].reverse()
```
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---
title: '54. Spiral Matrix'
description: Given an m x n matrix, return all elements of the matrix in spiral order
sidebar:
label: 'Spiral Matrix'
badge: 'Medium'
---
<Badge variant="accent">Matrix Index Math</Badge>
### Example 1:
- Input: `matrix = [[1,2,3],[4,5,6],[7,8,9]]`
- Output: `[1,2,3,6,9,8,7,4,5]`
### Example 2:
- Input: `matrix = [[1,2,3,4],[5,6,7,8],[9,10,11,12]]`
- Output: `[1,2,3,4,8,12,11,10,9,5,6,7]`
### Constraints:
- `m == matrix.length`
- `n == matrix[i].length`
- `1 <= m, n <= 10`
- `-100 <= matrix[i][j] <= 100`
## Solution
```py
class Solution:
def spiralOrder(self, matrix: List[List[int]]) -> List[int]:
res = []
top, bottom = 0, len(matrix) - 1
left, right = 0, len(matrix[0]) - 1
while top <= bottom and left <= right:
# 1. Top Row
for c in range(left, right + 1):
res.append(matrix[top][c])
top += 1
# 2. Right Column
for r in range(top, bottom + 1):
res.append(matrix[r][right])
right -= 1
# 3. Bottom Row
if top <= bottom:
for c in range(right, left - 1, -1):
res.append(matrix[bottom][c])
bottom -= 1
# 4. Left Column
if left <= right:
for r in range(bottom, top - 1, -1):
res.append(matrix[r][left])
left += 1
return res
```
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---
title: '2. Add Two Numbers'
description: 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 contains a single digit. Add the two numbers and return the sum as a linked list
sidebar:
label: 'Add Two Numbers'
badge: 'Medium'
---
<Badge variant="accent">Hybrid Structures</Badge>
### Example 1:
- Input: `l1 = [2,4,3], l2 = [5,6,4]`
- Output: `[7,0,8]`
- Explanation: `342 + 465 = 807`.
### Example 2:
- Input: `l1 = [0], l2 = [0]`
- Output: `[0]`
### Example 3:
- Input: `l1 = [9,9,9,9,9,9,9], l2 = [9,9,9,9]`
- Output: `[8,9,9,9,0,0,0,1]`
### Constraints:
- The number of nodes in each linked list is in the range [1, 100].
- `0 <= Node.val <= 9`
- It is guaranteed that the list represents a number that does not have leading zeros.
## Solution
```py
# Definition for singly-linked list.
# class ListNode:
# def __init__(self, val=0, next=None):
# self.val = val
# self.next = next
class Solution:
def addTwoNumbers(
self, l1: Optional[ListNode], l2: Optional[ListNode]
) -> Optional[ListNode]:
dummy = ListNode()
carry = 0
curr = dummy
while l1 or l2 or carry:
s = (l1.val if l1 else 0) + (l2.val if l2 else 0) + carry
carry, val = divmod(s, 10)
curr.next = ListNode(val)
curr = curr.next
l1 = l1.next if l1 else None
l2 = l2.next if l2 else None
return dummy.next
```