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    ALL SUBPROBLEMS
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Size k = 1
Subproblem (i,j) = (1, 1): cost = 13, root = 1, key = a
Subproblem (i,j) = (2, 2): cost = 16, root = 2, key = and
Subproblem (i,j) = (3, 3): cost = 12, root = 3, key = he
Subproblem (i,j) = (4, 4): cost = 11, root = 4, key = of
Subproblem (i,j) = (5, 5): cost = 40, root = 5, key = the
Subproblem (i,j) = (6, 6): cost = 12, root = 6, key = to
Size k = 2
Subproblem (i,j) = (1, 2): cost = 42, root = 1, key = a
Subproblem (i,j) = (2, 3): cost = 40, root = 2, key = and
Subproblem (i,j) = (3, 4): cost = 34, root = 3, key = he
Subproblem (i,j) = (4, 5): cost = 62, root = 4, key = of
Subproblem (i,j) = (5, 6): cost = 64, root = 5, key = the
Size k = 3
Subproblem (i,j) = (1, 3): cost = 66, root = 2, key = and
Subproblem (i,j) = (2, 4): cost = 66, root = 3, key = he
Subproblem (i,j) = (3, 5): cost = 97, root = 4, key = of
Subproblem (i,j) = (4, 6): cost = 86, root = 5, key = the
Size k = 4
Subproblem (i,j) = (1, 4): cost = 99, root = 2, key = and
Subproblem (i,j) = (2, 5): cost = 145, root = 4, key = of
Subproblem (i,j) = (3, 6): cost = 121, root = 5, key = the
Size k = 5
Subproblem (i,j) = (1, 5): cost = 191, root = 4, key = of
Subproblem (i,j) = (2, 6): cost = 169, root = 5, key = the
Size k = 6
Subproblem (i,j) = (1, 6): cost = 215, root = 5, key = the