Correctness of recursive functionsHere is code for a recursive function that finds the minimum element of a list.def rec_min (A):if len(A) == 1:return A [0]else:m = len (A) // 2min1 = rec_min (A[O..m-1])min2 = rec_min (A [m..len (A)-1])return min (min1, min2)State preconditions and postconditions for this function. Then, prove that thisalgorithm is correct according to your specifications.

Recursive Function: Find Minimum ElementWe are given a recursive function rec_min(A) that finds the…

Answered: Correctness of recursive functions Here…

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter15: Recursion

Section: Chapter Questions

Problem 6PE

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The implementation of a queue in an array, as given in this chapter, uses the variable count to determine whether the queue is empty or full. You can also use the variable count to return the number of elements in the queue. On the other hand, class linkedQueueType does not use such a variable to keep track of the number of elements in the queue. Redefine the class linkedQueueType by adding the variable count to keep track of the number of elements in the queue. Modify the definitions of the functions addQueue and deleteQueue as necessary. Add the function queueCount to return the number of elements in the queue. Also, write a program to test various operations of the class you defined.
How is an array stored in main memory? How is a linked list stored in main memory? What are their comparative advantages and disadvantages? Give examples of data that would be best stored as an array and as a linked list.
(Numerical) Write a program that tests the effectiveness of the rand() library function. Start by initializing 10 counters to 0, and then generate a large number of pseudorandom integers between 0 and 9. Each time a 0 occurs, increment the variable you have designated as the zero counter; when a 1 occurs, increment the counter variable that’s keeping count of the 1s that occur; and so on. Finally, display the number of 0s, 1s, 2s, and so on that occurred and the percentage of the time they occurred.
(List maintenance) a. Write a complete C++ program that can be used to update an ordered list of numbers. Use the list of numbers shown in Figure 7.13 to test that your program is working correctly. b. Test the program you wrote for Exercise 4a, using a new part number of 86 with the list of numbers shown in Figure 7.13. This test should place this new code at the beginning of the existing list. c. Test the program you wrote for Exercise 4a, using a part number of 200 with the list of numbers shown in Figure 7.13. This test should place this new part number at the end of the existing list

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