2011 / 1-2010 / 1 + 2010 / 1-2009 / 1 + 2009 / 1-2008 / 1 + +2 / 1-1

2011 / 1-2010 / 1 + 2010 / 1-2009 / 1 + 2009 / 1-2008 / 1 + +2 / 1-1
=1+1+1+.+1
=2010
Note that the total number is 2010. You can count 2 / 1-1, subtract 1, then up 3 / 1-2 / 1, subtract 2, and go up. From 2011 / 1-2010 / 1, the subtraction is 2010, so there are 2010 in total

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