fix: track synchronized storage files

Author: arnav-on-code

storage/stats.json

@@ -0,0 +1,35 @@
+{
+    "total": 0,
+    "easy": 0,
+    "medium": 0,
+    "hard": 0,
+    "languages": {
+        "Python3": 4
+    },
+    "recent_problems": [
+        {
+            "id": "1",
+            "title": "Two Sum"
+        },
+        {
+            "id": "295",
+            "title": "Find Median From Data Stream"
+        },
+        {
+            "id": "1",
+            "title": "Two Sum"
+        },
+        {
+            "id": "295",
+            "title": "Find Median From Data Stream"
+        }
+    ],
+    "last_problem": {
+        "id": "1",
+        "title": "Two Sum",
+        "language": "Python3",
+        "runtime": "45 ms",
+        "memory": "17 MB"
+    },
+    "last_sync": "2026-07-02 12:18:27"
+}