C++ for Engineers and Scientists
C++ for Engineers and Scientists
4th Edition
ISBN: 9781133187844
Author: Bronson, Gary J.
Publisher: Course Technology Ptr
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Chapter 5.5, Problem 12E

(Program) Write a program that tests the effectiveness of the rand() library function. Start by initializing 10 counters, such as zerocount, onecount, twocount, and so forth, to 0. Then generate a large number of pseudorandom integers between 0 and 9. Each time 0 occurs, increment zerocount; when 1 occurs, increment onecount; and so on. Finally, display the number of 0s, 1s, 2s, and so on that occurred and the percentage of time they occurred.

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(PYTHON) (Display matrix of 0s and 1s) Write a function that displays an n-by-n matrix using the following header: def printMatrix(n): Each element is 0 or 1, which is generated randomly. Write a test program that prompts the user to enter n and displays an n-by-n matrix. Here is a sample run:
(Perfect Numbers) An integer number is said to be a perfect number if its factors, including1 (but not the number itself), sum to the number. For example, 6 is a perfect number because 6 =1 + 2 + 3. Write a function isPerfect that determines whether parameter number is a perfect number. Use this function in a program that determines and prints all the perfect numbers between 1and 1000. Print the factors of each perfect number to confirm that the number is indeed perfect.Challenge the power of your computer by testing numbers much larger than 1000.
(Rounding Numbers) An application of function floor is rounding a value to the nearestinteger. The statementy = floor(x + .5);will round the number x to the nearest integer and assign the result to y. Write a program that readsseveral numbers and uses the preceding statement to round each of these numbers to the nearestinteger. For each number processed, print both the original number and the rounded number.

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