Recurrence Relations for Complexity

Derive and solve a recurrence relation for the best-case complexity B(n) of MergeSort.

Mathematical Properties of Binary Trees

----------- Show that if binary tree T is full at level i, then it is full at every level j smaller than i. --------------- Show that the depth of the complete binary tree Tn for a general n is given by D(Tn) = [log2n]. See attached for better format. ------------ Using induction, give a direct proof of Proposition 4.2.3 without using the transformation to 2-trees. Proposition 4.2.3 Suppose T is any 2-tree. Then the number of leaf nodes is 1 greater than the number of internal nodes of T; that is, I(T) = L(T) – 1. Equivalently, we have n(T) = 2L(T) – 1. ---------- Prove Proposition 4.2.5 Proposition 4.2.5 Suppose T is a 2-tree. Then T is full at the second de... click for more

Divide and conquer

Design and analyze a divide-and-conquer algorithm for finding the maximum element in a list L[0:n-1].

C ++ Problem From A First Book of C + +

Write a detailed set of instructions, in English, to calculate the dollar amount of money in a piggy bank that contains h half-dollars, q quarters, n nickels, d dimes and p pennies.

My short software program does not end correctly; Cannot locate error

Program executes correctly when the programmers I work with run it through their compliers. I'm using miracle c complier for class and I cannot locate the problem that causes my problem. At the end of this code it should say: "press enter to exit" Instead it states: "press enter to exit" and then also displays "please enter the amount of the sale"