Ninety-four bricks, each measuring $$4''\times10''\times19'',$$ are to be stacked one on top of another to form a tower 94 bricks tall. Each brick can be oriented so it contributes $$4''\,$$ or $$10''\,$$ or $$19''\,$$ to the total height of the tower. How many different tower heights can be achieved using all 94 of the bricks?

(第十二届AIME1994 第11题)