Question 11
A date can be represented by three positive integers. For example, 17 June 1995 is 17.6.95: the 17th day of the 6th month in the 95th year of the 20th century. Define its “date sum” as the sum of these integers, so 17 June 1995 has date sum $17+6+95=118$. Let $n$ be the sum of the date sums of all days from 1 January 2001 to 31 December 2007 inclusive. Find $n$.