feat(content): add categories and patterns

backend/data/categories/categories.yaml

@@ -0,0 +1,60 @@
+categories:
+  - name: Arrays
+    slug: arrays
+    description: Problems involving array manipulation, traversal, and transformations.
+
+  - name: Strings
+    slug: strings
+    description: Problems focused on string manipulation, pattern matching, and text processing.
+
+  - name: Hash Tables
+    slug: hash-tables
+    description: Problems utilizing hash maps for efficient lookups and counting.
+
+  - name: Linked Lists
+    slug: linked-lists
+    description: Problems involving singly or doubly linked list operations.
+
+  - name: Trees
+    slug: trees
+    description: Problems involving binary trees, BSTs, and tree traversals.
+
+  - name: Graphs
+    slug: graphs
+    description: Problems involving graph traversal, shortest paths, and connectivity.
+
+  - name: Dynamic Programming
+    slug: dynamic-programming
+    description: Problems requiring optimal substructure and overlapping subproblems.
+
+  - name: Binary Search
+    slug: binary-search
+    description: Problems utilizing binary search for efficient searching.
+
+  - name: Sorting
+    slug: sorting
+    description: Problems involving sorting algorithms and techniques.
+
+  - name: Stack
+    slug: stack
+    description: Problems using LIFO data structure for parsing and tracking.
+
+  - name: Queue
+    slug: queue
+    description: Problems using FIFO data structure and BFS traversals.
+
+  - name: Heap
+    slug: heap
+    description: Problems using priority queues for top-k and streaming data.
+
+  - name: Two Pointers
+    slug: two-pointers
+    description: Problems solved using two pointer technique.
+
+  - name: Recursion
+    slug: recursion
+    description: Problems requiring recursive problem decomposition.
+
+  - name: Math
+    slug: math
+    description: Problems involving mathematical concepts and number theory.