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- (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.Help me please: A palindrome is a string that reads the same both forward and backward. For example, the string madam is a palindrome. Write a program that uses a recursive function to check whether a string is a palindrome. Prompt the user for a string. If the string is a palindrome output a message in the following format: madam is a palindrome else Hello is not a palindrome Your program must contain a value-returning recursive function that returns true if the string is a palindrome and false otherwise. Do not use any global variables; use the appropriate parameters.Write a recursive function that displays a string reversely on the console using the following header: def reverseDisplay(value):For example, reverseDisplay("abcd") displays dcba. Write a test programthat prompts the user to enter a string and displays its reversal.
- Write a recursive function that displays a string reversely on the console using the following header: void reverseDisplay(const string& s) For example, reverseDisplay("abcd") displays dcba. Write a test program that prompts the user to enter a string and displays its reversal.Write a recursive function to print all the permutations of a string. For example, for the string abc, the printout is:abcacbbacbcacabcba(Hint: Define the following two functions. The second function is a helper function.def displayPermuation(s):def displayPermuationHelper(s1, s2): The first function simply invokes displayPermuation(" ", s). The secondfunction uses a loop to move a character from s2 to s1 and recursively invokes t with a new s1 and s2. The base case is that s2 is empty and prints s1 to the console.)Write a test program that prompts the user to enter a string and displays all its permutations.3. A palindrome is a sentence that contains the same sequence of letters read-ing it either forwards or backwards. A classic example is "Able was I, ere I saw Elba." Write a recursive function that detects whether a string is a palindrome. The basic idea is to check that the first and last letters of the string are the same letter; if they are, then the entire string is a palindrome if everything between those letters is a palindrome. There are a couple of special cases to check for. If either the first or last character of the string is not a letter, you can check to see if the rest of the string is a palindrome with that character removed. Also, when you compare letters, make sure that you do it in a case-insensitive way. Use your function in a program that prompts a user for a phrase and then tells whether or not it is a palindrome. Here's another classic for testing: "A man, a plan, a canal, Panama!"
- Write a recursive function that parses a hex number as a string into a decimal integer. The function header is as follows:def hexToDecimal(hexString):Write a test program that prompts the user to enter a hex string and displays its decimal equivalent.Write a recursive function that returns the sum of the digits of an integer.int sumOfDigits(int x);1. Write a recursive function that takes a string as an input and returns the reverse of the string. 2.Write a recursive function rec_string that produces the output shown below for the corresponding function calls. Write a main function to test the function. Method call rec_string(‘abcde’), will produce the following output: *ede cde bcde abcde Method call rec_string(‘abc’), will produce the following output: *cbc abc 3. Write a recursive function for Euclid's algorithm to find the greatest common divisor (gcd) of two positive integers. gcd is the largest integer that divides evenly into both of them. For example, the gcd(102, 68) = 34. You may recall learning about the greatest common divisor when you learned to reduce fractions. For example, we can simplify 68/102 to 2/3 by dividing both numerator and denominator by 34, their gcd. Finding the gcd of huge numbers is an important problem that arises in many commercial applications. We can efficiently compute the gcd using the…
- In C++ Write a recursive function that displays a string reversely on the console using the following header:void reverseDisplay(const string& s) For example, reverseDisplay("abcd") displays dcba. Write a test programthat prompts the user to enter a string and displays its reversal.3. Write a recursion function that prints out message "This is a recursive function" recursively as long as user input n > 0. If n== 0, the message "This is the base case" is printed.Write a recursive function to see if the first letter matches the last letter, return the middle letters and check until only 0 or 1 letters are left. It returns True or False. Here is the original code that needs to be checked: # Returns the first character of the string str def firstCharacter(str): return str[:1] # Returns the last character of a string str def lastCharacter(str): return str[-1:] # Returns the string that results from removing the first # and last characters from str def middleCharacters(str): return str[1:-1] def isPalindrome(str): # base case #1 # base case #2 # recursive case pass Python code