Get a sum for a range of value depending on start&end criteria cells

Dear all,

How can I get sum for range of value depending start&end values?
I need sum of values with *.
I hope it is clear thanks in advance.


start end sum
1912 1916 ???

1910 1
1911 2
1912 3*
1913 4*
1914 5*
1915 6*
1916 7*
1917 8
1918 9
1919 10
1920 11
1921 12