<image>As shown in the figure, a square piece of paper is first cut into four equally sized and shaped squares. Then, one of these squares is cut into four smaller squares in the same way during the second cut. This process continues iteratively.
(1) Fill in the table
 \frac{   }(2) If the paper is cut n times, a total of ____ small squares are obtained;
(3) Can 2003 pieces of paper be obtained after several cuts? ____ (fill in "yes" or "no")