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Write a divide-and-conquer algorithm for summing an array of n in- tegers. The base case for this algorithm will be when the size of the sub-problems are smaller or equal to 4 in which case you will use an iterative loop to sum the integers of the sub-problems. You need to do the following: (a) Your program should be able to open and read a file named In- putArray that contains a single line of n integers where n is a power 2 less than 1000. (b) Your program will output on the standard output the solutions found for each pair of sub-problems as well as the level of the recursion from which the solutions are printed. The level of the initial call is 0. (c) On your solution sheet, i. Write the pseudo-code of your algorithm1 ii. Write the recurrence relation corresponding to the pseudo- code, don't forget the cost of the base case. iii. Write the solution of your recurrence, showing how you have solved the recurrence.
Solve the following problem by inspection, and justify the method of solution in terms of the basic solutions of the simplex method.
What do you think are some of the types of sites that would be appropriate for mobile devices? What types of sites do you think are inappropriate?
Solve the following problems using linearity of expectation. . (For each problem you will want to think about what the appropriate random variables should be and define them explicitly.)
We wish to find the element x that is in upper half when S is sorted, or in other words element which is greater than median. Determine the minimum number of element comparision required to solve problem ?
Briefly compare and contrast the four techniques for analyzing the costs and benefits of a proposed system. What do you see as particular strengths and weakness of each method?
Consider the numerical 20 questions game. In this game, player 1 thinks of a number in the range 1 to n. Player 2 What is an optimal strategy if n in known?
Create an array of integers 10 elements long. ? Loop through this array (using its length value), assigning a random value between 0 and 100 (inclusive) to each element. Remember: random(100) returns a float and will never return 100.0.
computer calculate the following: (a) What is the L2 read miss penalty? (b) What is the L1 read miss penalty? (c) What is the read penalty (L1 and L2 cache)? (d) Assume 33% (1/3) loads, and everything else is ideal. What is the CPI? (e) What would th..
Write a problem that prompts the user for a radius and then prints: •The area and the circumference of a circle with that radius •The volume and surface area of a sphere with that radius
Write a Java method which takes an integer array parameter and fills the array with random numbers between 1 and 1000, including 1 and 1000. Use a traditional for loop to process the array.
Telephone system has an availability of 99.999 percent. How much downtime is that per year? Express your answer in a way that is easy for someone to understand.
Identify and describe 5 specific capabilities of computing (e.g., speed, permanence/storage) made possible or enhanced by computing technology.
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