C++   How to Program (Early Objects Version)
C++ How to Program (Early Objects Version)
10th Edition
ISBN: 9780134448824
Author: Paul Deitel; Harvey M. Deitel
Publisher: Pearson Education (US)
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Chapter 15, Problem 15.25E

(Prime Factors) Modify Exercise 15.24 so that, if the number the user inputs into the program is not prime, the program displays the prime factors of the number and the number of times each prime factor appears in the unique prime factorization. For example, the output for the number 54 should be

 The unique prime factorization of 54 is: 2 * 3 * 3 * 3

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(Sort three numbers) Write the following function to display three numbers in increasing order: def displaySortedNumbers(num1, num2, num3): Write a test program that prompts the user to enter three numbers and invokes the function to display them in increasing order. Here are some sample runs:
(Financial: credit card number validation) Credit card numbers follow certain pat- terns. A credit card number must have between 13 and 16 digits. It must start with: 4 for Visa cards 5 for Master cards 37 for American Express cards 6 for Discover cards In 1954, Hans Luhn of IBM proposed an algorithm for validating credit card numbers. The algorithm is useful to determine whether a card number is entered correctly or whether a credit card is scanned correctly by a scanner. Credit card numbers are generated following this validity check, commonly known as the Luhn check or the Mod 10 check, which can be described as follows (for illustra- tion, consider the card number 4388576018402626): 1. Double every second digit from right to left. If doubling of a digit results in a two-digit number, add up the two digits to get a single-digit number. 4388576018402626 → 2 * 2 = 4 → 2 * 2 = 4 → 4 * 2 = 8 → 1 * 2 = 2 6 * 2 = 12 (1+ 2 = 3) → 5 * 2 = 10 (1+ 0 = 1) → 8 * 2 = 16 (1 + 6 = 7) → 4 * 2 = 8
Q3. (Dice Rolling) Write a program that simulates the rolling of two dice. The program should use rand to roll the first die and should use rand again to roll the second die. The sum of the two values should then be calculated. [Note: Each die can show an integer value from 1 to 6, so the sum of the two values will vary from 2 to 12, with 7 being the most frequent sum and 2 and 12 being the least frequent sums.] Figure 7.26 shows the 36 possible combinations of the two dice. Your program should roll the two dice 10,000 times. Use a one-dimensional array to tally the numbers of times each possible sum appears. Print the results in a tabular format. Also, determine if the totals are reasonable (i.e., there are six ways to roll a 7, so approximately one-sixth of all the rolls should be 7). 1 2 3 4 5 1 2 4 6 7 3 4 6 7 3 4 5 7 8 9 4 7 8 9 10 7 8 10 11 7 10 11 12 Row\Col 3.
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