docs: restructure problem paths, change section display to groups, and improve documentation content

apps/docs/content/(01-linear-structures)/binary-search/4_median-of-two-sorted-arrays.mdx

@@ -36,4 +36,28 @@ sidebar:
 ```py
 class Solution:
     def findMedianSortedArrays(self, nums1: list[int], nums2: list[int]) -> float:
+        if len(nums1) > len(nums2):
+            return self.findMedianSortedArrays(nums2, nums1)
+
+        m, n = len(nums1), len(nums2)
+        left, right = 0, m
+
+        while left <= right:
+            partA = (left + right) // 2
+            partB = (m + n + 1) // 2 - partA
+
+            maxLeftA = float("-inf") if partA == 0 else nums1[partA - 1]
+            minRightA = float("inf") if partA == m else nums1[partA]
+            maxLeftB = float("-inf") if partB == 0 else nums2[partB - 1]
+            minRightB = float("inf") if partB == n else nums2[partB]
+
+            if maxLeftA <= minRightB and maxLeftB <= minRightA:
+                if (m + n) % 2 == 0:
+                    return (max(maxLeftA, maxLeftB) + min(minRightA, minRightB)) / 2
+                else:
+                    return max(maxLeftA, maxLeftB)
+            elif maxLeftA > minRightB:
+                right = partA - 1
+            else:
+                left = partA + 1
 ```

apps/docs/content/(01-linear-structures)/binary-search/meta.ts

@@ -1,3 +1,3 @@
 import { defineMeta } from "blume";
 
-export default defineMeta({ title: "Binary Search", order: 5, icon: "search", display: "page" });
+export default defineMeta({ title: "Binary Search", order: 5, icon: "search", display: "group" });

apps/docs/content/(01-linear-structures)/hash-table/index.mdx

@@ -39,10 +39,12 @@ def get_counter(arr: list[int]) -> dict[int, int]:
     return counter
 ```
 
-::: tip[Python provides a built-in `collections.Counter` class]
+:::tip
+Python provides a built-in [`collections.Counter`](https://docs.python.org/3/library/collections.html#collections.Counter) class that does this for us.
+:::
+
 ```python
 from collections import Counter
 
 fq = Counter(arr)
 ```
-:::

apps/docs/content/(01-linear-structures)/hash-table/meta.ts

@@ -1,3 +1,3 @@
 import { defineMeta } from "blume";
 
-export default defineMeta({ title: "Hash Table", order: 1, icon: "hash", display: "page" });
+export default defineMeta({ title: "Hash Table", order: 1, icon: "hash", display: "group" });

apps/docs/content/(01-linear-structures)/monotonic-stack/meta.ts

@@ -1,3 +1,3 @@
 import { defineMeta } from "blume";
 
-export default defineMeta({ title: "Monotonic Stack", order: 7, icon: "trending-up", display: "page" });
+export default defineMeta({ title: "Monotonic Stack", order: 7, icon: "trending-up", display: "group" });

apps/docs/content/(01-linear-structures)/prefix-sum/meta.ts

@@ -1,3 +1,3 @@
 import { defineMeta } from "blume";
 
-export default defineMeta({ title: "Prefix Sum", order: 2, icon: "sigma", display: "page" });
+export default defineMeta({ title: "Prefix Sum", order: 2, icon: "sigma", display: "group" });

apps/docs/content/(01-linear-structures)/sliding-window/meta.ts

@@ -1,3 +1,3 @@
 import { defineMeta } from "blume";
 
-export default defineMeta({ title: "Sliding Window", order: 4, icon: "app-window", display: "page" });
+export default defineMeta({ title: "Sliding Window", order: 4, icon: "app-window", display: "group" });

apps/docs/content/(01-linear-structures)/stack/meta.ts

@@ -1,3 +1,3 @@
 import { defineMeta } from "blume";
 
-export default defineMeta({ title: "Stack", order: 6, icon: "layers", display: "page" });
+export default defineMeta({ title: "Stack", order: 6, icon: "layers", display: "group" });

apps/docs/content/(01-linear-structures)/two-pointers/meta.ts

@@ -1,3 +1,3 @@
 import { defineMeta } from "blume";
 
-export default defineMeta({ title: "Two Pointers", order: 3, icon: "arrow-left-right", display: "page" });
+export default defineMeta({ title: "Two Pointers", order: 3, icon: "arrow-left-right", display: "group" });

apps/docs/content/(02-nodal-grid)/hybrid-structures/meta.ts

@@ -1,3 +1,3 @@
 import { defineMeta } from "blume";
 
-export default defineMeta({ title: "Hybrid Structures", order: 9, icon: "combine", display: "page" });
+export default defineMeta({ title: "Hybrid Structures", order: 9, icon: "combine", display: "group" });

apps/docs/content/(02-nodal-grid)/linked-list/meta.ts

@@ -1,3 +1,3 @@
 import { defineMeta } from "blume";
 
-export default defineMeta({ title: "Linked List", order: 8, icon: "link", display: "page" });
+export default defineMeta({ title: "Linked List", order: 8, icon: "link", display: "group" });

apps/docs/content/(02-nodal-grid)/matrix-index-math/meta.ts

@@ -1,3 +1,3 @@
 import { defineMeta } from "blume";
 
-export default defineMeta({ title: "Matrix Index Math", order: 10, icon: "grid-3x3", display: "page" });
+export default defineMeta({ title: "Matrix Index Math", order: 10, icon: "grid-3x3", display: "group" });

apps/docs/content/(03-hierarchical)/binary-search-tree/meta.ts

@@ -1,3 +1,3 @@
 import { defineMeta } from "blume";
 
-export default defineMeta({ title: "Binary Search Tree", order: 13, icon: "git-fork", display: "page" });
+export default defineMeta({ title: "Binary Search Tree", order: 13, icon: "git-fork", display: "group" });

apps/docs/content/(03-hierarchical)/heap-priority-queue/meta.ts

@@ -1,3 +1,3 @@
 import { defineMeta } from "blume";
 
-export default defineMeta({ title: "Heap / Priority Queue", order: 14, icon: "triangle", display: "page" });
+export default defineMeta({ title: "Heap / Priority Queue", order: 14, icon: "triangle", display: "group" });

apps/docs/content/(03-hierarchical)/tree-bfs/meta.ts

@@ -1,3 +1,3 @@
 import { defineMeta } from "blume";
 
-export default defineMeta({ title: "Tree BFS", order: 12, icon: "network", display: "page" });
+export default defineMeta({ title: "Tree BFS", order: 12, icon: "network", display: "group" });

apps/docs/content/(03-hierarchical)/tree-dfs/meta.ts

@@ -1,3 +1,3 @@
 import { defineMeta } from "blume";
 
-export default defineMeta({ title: "Tree DFS", order: 11, icon: "folder-tree", display: "page" });
+export default defineMeta({ title: "Tree DFS", order: 11, icon: "folder-tree", display: "group" });

apps/docs/content/(03-hierarchical)/trie/meta.ts

@@ -1,3 +1,3 @@
 import { defineMeta } from "blume";
 
-export default defineMeta({ title: "Trie", order: 15, icon: "spell-check", display: "page" });
+export default defineMeta({ title: "Trie", order: 15, icon: "spell-check", display: "group" });

apps/docs/content/(04-relational)/graph-bfs/meta.ts

@@ -1,3 +1,3 @@
 import { defineMeta } from "blume";
 
-export default defineMeta({ title: "Graph BFS", order: 17, icon: "radar", display: "page" });
+export default defineMeta({ title: "Graph BFS", order: 17, icon: "radar", display: "group" });

apps/docs/content/(04-relational)/graph-dfs/meta.ts

@@ -1,3 +1,3 @@
 import { defineMeta } from "blume";
 
-export default defineMeta({ title: "Graph DFS", order: 16, icon: "waypoints", display: "page" });
+export default defineMeta({ title: "Graph DFS", order: 16, icon: "waypoints", display: "group" });

apps/docs/content/(04-relational)/topological-sort/meta.ts

@@ -1,3 +1,3 @@
 import { defineMeta } from "blume";
 
-export default defineMeta({ title: "Topological Sort", order: 18, icon: "workflow", display: "page" });
+export default defineMeta({ title: "Topological Sort", order: 18, icon: "workflow", display: "group" });

apps/docs/content/(04-relational)/union-find/meta.ts

@@ -1,3 +1,3 @@
 import { defineMeta } from "blume";
 
-export default defineMeta({ title: "Union-Find", order: 19, icon: "merge", display: "page" });
+export default defineMeta({ title: "Union-Find", order: 19, icon: "merge", display: "group" });