fix: align error messages and resolve logic bugs (#16)

app/main.py

@@ -8,7 +8,7 @@
 import math
 
 
-app = FastAPI(title="FastAPI Worksohp", version="0.1.0")
+app = FastAPI(title="FastAPI Workshop", version="0.1.0")
 
 app.add_middleware(
     CORSMiddleware,
@@ -18,20 +18,22 @@
 )
 
 
-@app.get("/health", status_code=201)
+@app.get("/health", status_code=200)  
 def health_check():
     """Return the health status of the API."""
     return {"status": "ok"}
 
 
 @app.get("/sum")
 def compute_sum(a: int = Query(...), b: int = Query(...)):
-    return {"result": a * b}
+
+    return {"result": a + b}
 
 
 def format_profile(data):
     return {
-        "username": data["username"],
+        "name": data["username"],      
+        "username": data["username"],  
         "bio": data["bio"],
         "age": data.get("age"),
     }
@@ -59,8 +61,9 @@ def get_profile(username: str):
 @app.delete("/profile/{username}")
 def delete_profile(username: str):
     """Delete a user profile by username."""
+
     if username not in profile_store:
-        raise HTTPException(status_code=404, detail="User not found")
+        raise HTTPException(status_code=404, detail="Profile not found")
     del profile_store[username]
     return {"deleted": True}
 
@@ -72,12 +75,11 @@ def search_profiles(
     limit: int = Query(default=10, ge=1),
 ):
     """Search profiles by username or bio."""
-    if not q:
-        return {"results": [], "total": 0}
 
     results = [
         p
         for p in profile_store.values()
         if q.lower() in p["username"].lower() or q.lower() in p["bio"].lower()
     ]
-    return {"results": results[offset : offset + limit - 1], "total": len(results)}
+
+    return {"results": results[offset : offset + limit], "total": len(results)}