B.3. Final Results
237
Table B.8
The Bound Matrix"»
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
ft
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Γ
0
0
0
0
0
0
0
0
ft
0
0
0
0
0
0
0
0
0
ft
0
0
0
0
0
0
0
0
0
ft
0
0
0
0
0
0
0
0
0
ft
0
0
0
0
0
0
0
0
0
ft
0
0
0
0
0
0
0
0
0
ft
0
0
0
0
0
0
0
0
0
ft
0
0
0
0
0
0
0
0
0
ft
0
0
0
0
0
0
0
0
0
ft
0
0
0
0
0
0
0
0
0
ft
0
0
0
0
0
0
0
0
0
ft
0
0
0
0
0
0
0
0
0
ft
0
0
0
0
0
0
0
0
0
ft
0
0
0
0
0
0
0
0
0
ft
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
ft
η
0
0
0
0
0
0
0
0
ft
0
0
0
0
0
0
0
0
0
ft
0
0
0
0
0
0
0
0
0
ft
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
ft
0
0
0
0
0
0
0
0
0
ft
0
0
0
0
0
0
0
0
0
ft
0
0
0
0
0
0
0
0
0
ft
0
0
0
0
0
0
0
0
0
ft
η
0
0
0
0
0
0
0
0
ft
0
0
0
0
0
0
0
0
0
ft
0
0
0
0
0
0
0
0
0
ft
0
0
0
0
0
0
0
0
0
ft
0
0
0
0
0
0
0
0
0
ft
0
0
0
0
0
0
0
0
0
ft
0
0
0
0
0
0
0
0
0
ft
0
r>
0
0
0
0
0
0
0
ft
a
Columns 1-9 correspond to new reservoirs (6-14), column 10 corresponds to no new
reservoir, and rows correspond to years (1-50).
b Since all elements are equal to zero, we thus have searched through every branch of
the tree.
B.3. Final Results
237
Table B.8
The Bound Matrix"»
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
ft
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Γ
0
0
0
0
0
0
0
0
ft
0
0
0
0
0
0
0
0
0
ft
0
0
0
0
0
0
0
0
0
ft
0
0
0
0
0
0
0
0
0
ft
0
0
0
0
0
0
0
0
0
ft
0
0
0
0
0
0
0
0
0
ft
0
0
0
0
0
0
0
0
0
ft
0
0
0
0
0
0
0
0
0
ft
0
0
0
0
0
0
0
0
0
ft
0
0
0
0
0
0
0
0
0
ft
0
0
0
0
0
0
0
0
0
ft
0
0
0
0
0
0
0
0
0
ft
0
0
0
0
0
0
0
0
0
ft
0
0
0
0
0
0
0
0
0
ft
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
ft
η
0
0
0
0
0
0
0
0
ft
0
0
0
0
0
0
0
0
0
ft
0
0
0
0
0
0
0
0
0
ft
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
ft
0
0
0
0
0
0
0
0
0
ft
0
0
0
0
0
0
0
0
0
ft
0
0
0
0
0
0
0
0
0
ft
0
0
0
0
0
0
0
0
0
ft
η
0
0
0
0
0
0
0
0
ft
0
0
0
0
0
0
0
0
0
ft
0
0
0
0
0
0
0
0
0
ft
0
0
0
0
0
0
0
0
0
ft
0
0
0
0
0
0
0
0
0
ft
0
0
0
0
0
0
0
0
0
ft
0
0
0
0
0
0
0
0
0
ft
0
r>
0
0
0
0
0
0
0
ft
a
Columns 1-9 correspond to new reservoirs (6-14), column 10 corresponds to no new
reservoir, and rows correspond to years (1-50).
b Since all elements are equal to zero, we thus have searched through every branch of
the tree.
B.3. Final Results
