docs(content): add Max Consecutive Ones III page and update Array badge count

apps/docs/content/(01-linear-structures)/sliding-window/1004-max-consecutive-ones-iii.mdx

@@ -0,0 +1,52 @@
+---
+title: '1004. Max Consecutive Ones III'
+description: Given a binary array nums and an integer k, return the maximum number of consecutive 1's in the array if you can flip at most k 0's
+icon: dot
+topics:
+  - { name: "Array", slug: "array" }
+  - { name: "Binary Search", slug: "binary-search" }
+  - { name: "Sliding Window", slug: "sliding-window" }
+  - { name: "Prefix Sum", slug: "prefix-sum" }
+issue: "https://github.com/prdlk/leetcode/issues/56"
+sidebar:
+  label: 'Max Consecutive Ones III'
+  badge: 'Medium'
+---
+
+### Example 1:
+- Input: `nums = [1,1,1,0,0,0,1,1,1,1,0], k = 2`
+- Output: `6`
+- Explanation: `[1,1,1,0,0,1,1,1,1,1,1]` Bolded numbers were flipped from `0` to `1`. The longest subarray is underlined.
+
+### Example 2:
+- Input: `nums = [0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,1,1], k = 3`
+- Output: `10`
+- Explanation: `[0,0,1,1,1,1,1,1,1,1,1,1,0,0,0,1,1,1,1]` Bolded numbers were flipped from `0` to `1`. The longest subarray is underlined.
+
+### Constraints:
+
+- `1 <= nums.length <= 10^5`
+- `nums[i]` is either 0 or 1.
+- `0 <= k <= nums.length`
+
+## Solution
+
+```py
+class Solution:
+    def longestOnes(self, nums: list[int], k: int) -> int:
+        left = 0
+        cur = 0
+        ans = 0
+
+        for right in range(len(nums)):
+            if nums[right] == 0:
+                cur += 1
+            while cur > k:
+                if nums[left] == 0:
+                    cur -= 1
+                left += 1
+
+            ans = max(ans, right - left + 1)
+
+        return ans
+```

apps/docs/content/appendix/(1-data-structures)/array.mdx

@@ -3,7 +3,7 @@ title: "Array"
 list: "https://leetcode.com/problem-list/array/"
 icon: list-ordered
 sidebar:
-  badge: '47'
+  badge: '48'
 ---
 
 :::note