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 Propo ...continues

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 ente ...continues

C++ Program

Write a program, using C++ that prints to screen the results of dividing 23 by 5, where 23 and 5 are ints. Provide the results of what was printed to screen via comments in the program ; need in hardcopy.

Write a C++ program that outputs appropriate messages for matching grouping symbols in an arithmetic expression.

Write a C++ program that outputs appropriate messages for matching grouping symbols, such as parentheses and braces, in the input arithmetic expression. For example, the expression "{25+(3-6)*8}" contains matching grouping symbols (curly braces and parentheses), while in case of "[25+{3-6)*8]" only matching grouping symbols a ...continues

Ho would I find the value of the symmetric key in the following protocol and also the value of R1 and R2 respectively?

In the Diffie-Helman protocol, g=7, p=23, x=3, and y=5. a) What is the value of the symmetric key? b) What is the value of R1 and R2? Possible Variations of the initial data 1) g=5, p=19, x=7, and y=3 2) g=11, p=31, x=3, and y=9 3) g=7, p=43, x=5, and y=7

Top Down, Stepwise refinement

Using top-down, stepwise refinement, create an algorithm for making toast, frying eggs, baking a cake, or ordering pizza. How might algorithms be beneficial in your future profession?

Perl program update

Please apply the following formula below to the program so it works correctly! The following formula is used to calculate the fixed monthly payment (P) required to fully amortize a loan of L dollars over a term of n months at a monthly interest rate of c. [If the quoted rate is 6%, for example, c is .06/12 or .005]. P = L ...continues