##
my %INDEX = {
A => { q => 1, u => 6, k => 3 },
C => { t => 10 },
Z => { u => 30 },
M => { q => 100 }
}
##
##
# narrow by first set
(set_1) x (keys %INDEX) = (set_1) x (A, C, M, Z) = (A, C, Z)
##
##
set_2 x (q, u, k) + set_2 x (t) + set_2 x (u) = (1, 6, 10, 30)