... S fig must be an optimal solution for W wi pounds and items 1; : : : ; i 1, and the value of the solution S is i plus the value of the subproblem solution S We can express this relationship ... in the presence of dependence Solution to Exercise 5.2-5 Let Xij be an indicator random variable for the event where the pair AŒi; AŒj for i < j is inverted, i.e., AŒi > AŒj More precisely, ... 12.5 of the text) Selected Solutions for Chapter 12: Binary Search Trees 12-3 Correctness The preorder ordering is the correct order because: Any node’s string is a pre x of all its descendants’...