Let the set $$\mathcal{S} = \{8, 5, 1, 13, 34, 3, 21, 2\}.$$ Susan makes a list as follows: for each two-element subset of $$\mathcal{S},$$ she writes on her list the greater of the set's two elements. Find the sum of the numbers on the list.

(第二十一届AIME1 2003 第3题)