すべてのデータをダウンロードせずに Firebase から固有のランダムな商品を表示するにはどうすればよいですか?

- products
   - -L74Pc7oVY22UsCETFBv
       - name: "gjwj"
       - category: "hreggrrg"
       - location: "vjhiwehifwe"
       - price: 44
       - color: fassaf
   - -L74uJ7oVYcVNyCteFBz
       - name: "uygfwh"
       - category: "hhhjwwwom"
       - location: "pervrr"
       - price: 33
       - color: yrtrr
   ......................

<code class="java">DatabaseReference productsRef = rootRef.child("products");
ValueEventListener valueEventListener = new ValueEventListener() {
    @Override
    public void onDataChange(DataSnapshot dataSnapshot) {
        List<String> productList = new ArrayList<>();
        for(DataSnapshot ds : dataSnapshot.getChildren()) {
            String name = ds.child("name").getValue(String.class);
            productList.add(name);
        }

        int productListSize = productList.size();
        List<String> randomProductList = new ArrayList<>();

        randomProductList.add(new Random().nextInt(productListSize)); //Add the random product to list

        // Update the adapter with the random product
        arrayAdapter.notifyDatasetChanged();
    }

    @Override
    public void onCancelled(DatabaseError databaseError) {
        Log.d(TAG, "Error: ", task.getException()); //Don't ignore errors!
    }
};
productsRef.addListenerForSingleValueEvent(valueEventListener);</code>

<code class="java">DatabaseReference productIdsRef = rootRef.child("productIds");
ValueEventListener valueEventListener = new ValueEventListener() {
    @Override
    public void onDataChange(DataSnapshot dataSnapshot) {
        List<String> productIdsList = new ArrayList<>();
        for(DataSnapshot ds : dataSnapshot.getChildren()) {
            String productId = ds.getKey();
            productIdsList.add(productId);
        }

        int productListSize = productList.size();
        String randomProductId = productIdsList.get(new Random().nextInt(productListSize));

        DatabaseReference productIdRef = rootRef.child("products").child(randomProductId);
        ValueEventListener eventListener = new ValueEventListener() {
            @Override
            public void onDataChange(DataSnapshot dataSnapshot) {
                String name = dataSnapshot.child("name").getValue(String.class);
                Log.d("TAG", name); // Output the random product name
            }

            @Override
            public void onCancelled(DatabaseError databaseError) {
                Log.d(TAG, "Error: ", task.getException()); //Don't ignore errors!
            }
        };
        productIdRef.addListenerForSingleValueEvent(eventListener);
    }

    @Override
    public void onCancelled(DatabaseError databaseError) {
        Log.d(TAG, "Error: ", task.getException()); //Don't ignore errors!
    }
};
productIdsRef.addListenerForSingleValueEvent(valueEventListener);</code>