Starting Out with Python (4th Edition)
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ISBN: 9780134444321
Author: Tony Gaddis
Publisher: PEARSON
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Chapter 12, Problem 3MC
Program Plan Intro
Problem Solving:
In Python, a problem can be divided into smaller parts only if it has an identical structure to the whole problem. Then, it can be solved using recursion.
Working method of recursive function:
A recursive function has two approaches. They are as follows:
- If a problem can be solved currently without using recursion, then use function to solve it and returns.
- If a problem cannot be solved currently, then the function reduces the problem into smaller parts only if it has a similar structure to the whole program. And the function calls itself to solve the sub-parts.
Problem cases:
In order to apply the above approaches into the program for solving it, then it is important to identify the problem case. There are two cases available in problem solving. They are base case and recursive case.
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2. Sum: a recursive function that computes the sum of integers 1, 2, 3, …., n for a given number n.
So Sum(6) should return 1 + 2 + 3 + 4 + 5 + 6 , i.e. 21.sum(n) = n + sum(n-1)
A recursive function typically has two components: one that provides a means for the recursion to terminate by testing for a(n)____________ case, and one that expresses the problem as a recursive call for a slightly simpler problem than the original call.
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X275: Recursion Programming Exercise: Check Palindrome
X275: Recursion Programming Exercise: Check
Palindrome
Write a recursive function named checkPalindrome that takes a string as input, and returns true if the string is a
palindrome and false if it is not a palindrome. A string is a palindrome if it reads the same forwards or backwards.
Recall that str.charAt(a) will return the character at position a in str. str.substring(a) will return the substring of
str from position a to the end of str,while str.substring(a, b) will return the substring of str starting at position
a and continuing to (but not including) the character at position b.
Examples:
checkPalindrome ("madam") -> true
Your Answer:
1 public boolean checkPalindrome (String s) {
4
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Chapter 12 Solutions
Starting Out with Python (4th Edition)
Ch. 12.2 - It is said that a recursive algorithm has more...Ch. 12.2 - Prob. 2CPCh. 12.2 - What is a recursive case?Ch. 12.2 - What causes a recursive algorithm to stop calling...Ch. 12.2 - What is direct recursion? What is indirect...Ch. 12 - Prob. 1MCCh. 12 - A function is called once from a program's main...Ch. 12 - Prob. 3MCCh. 12 - Prob. 4MCCh. 12 - Prob. 5MC
Ch. 12 - Prob. 6MCCh. 12 - Any problem that can be solved recursively can...Ch. 12 - Actions taken by the computer when a function is...Ch. 12 - A recursive algorithm must _______ in the...Ch. 12 - A recursive algorithm must ______ in the base...Ch. 12 - An algorithm that uses a loop will usually run...Ch. 12 - Some problems can be solved through recursion...Ch. 12 - It is not necessary to have a base case in all...Ch. 12 - In the base case, a recursive method calls itself...Ch. 12 - In Program 12-2 , presented earlier in this...Ch. 12 - In this chapter, the rules given for calculating...Ch. 12 - Is recursion ever required to solve a problem?...Ch. 12 - When recursion is used to solve a problem, why...Ch. 12 - How is a problem usually reduced with a recursive...Ch. 12 - What will the following program display? def...Ch. 12 - Prob. 2AWCh. 12 - The following function uses a loop. Rewrite it as...Ch. 12 - Prob. 1PECh. 12 - Prob. 2PECh. 12 - Prob. 3PECh. 12 - Largest List Item Design a function that accepts a...Ch. 12 - Recursive List Sum Design a function that accepts...Ch. 12 - Prob. 6PECh. 12 - Prob. 7PECh. 12 - Ackermann's Function Ackermann's Function is a...
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- In a recursive solution, the _____ case is easily calculated, provides a stopping criterion, and prevents infinite loops. In the _____ case, the solution calls itself.arrow_forwardLab Goal : This lab was designed to teach you more about recursion. Lab Description : Take a number and recursively determine how many of its digits are even. Return the count of the even digits in each number. % might prove useful to take the number apart digit by digitSample Data : 453211145322224532714246813579Sample Output : 23540 I want a code class and a runner classarrow_forwardRecursive Power MethodWrite a method called powCal that uses recursion to raise a number to a power. The method should accept two arguments: The first argument is the exponent and the second argument is the number to be raised (example” powCal(10,2) means 210). Assume that the exponent is a nonnegative integer. Demonstrate the method in a program called Recursive (This means that you need to write a program that has at least two methods: main and powCal. The powCal method is where you implement the requirements above and the main method is where you make a method call to demonstrate how your powCal method work).arrow_forward
- If your first name starts with a letter from A-J inclusively: Write a recursive method that takes a string as argument and determines if the string has more vowels than consonants. Test the method by asking the user to enter a string. Hint: Write your recursive method to first count vowels and consonants.arrow_forwardRecursive PrintingDesign a recursive function that accepts an integer argument,n , and prints the numbers 1 up through n .arrow_forward3-The following pattern of numbers is called Pascal's triangle. 1 1 1 14 641 The numbers at the edge of the triangle are all 1, and each number inside the triangle is the sum of the two numbers above it. Write a procedure that computes elements of Pascal's triangle by means of a recursive process. 1 1 1 2 1 3 3arrow_forward
- Consider the following pseudo code, Method func() { PRINT “This is recursive function" func() } Method main( { func() } What will happen when the above snippet is executed?arrow_forwardLab Goal : This lab was designed to teach you more about recursion. Lab Description : Take a number and recursively determine how many of its digits are even. Return the count of the even digits in each number. % might prove useful to take the number apart digit by digit Sample Data : 453211145322224532714246813579 Sample Output : 23540arrow_forwardWhen all the statements are executed before calling the function, the calling comes at the end of code lines, this called: O a. Head recursion O b. Endless recursion Recursive call O d. Tail recursionarrow_forward
- 7. Recursive Power Method In Python, design a function that uses recursion to raise a number to a power. The function should accept two arguments: the number to be raised, and the exponent. Assume the exponent is a nonnegative integer.arrow_forwardQuestion 1 Not complete Marked out of 1.00 Flag question Write a recursive function named count_non_digits (word) which takes a string as a parameter and returns the number of non-digits in the parameter string. The function should return 0 if the parameter string contains only digits. Note: you may not use loops of any kind. You must use recursion to solve this problem. You can assume that the parameter string is not empty. For example: Test Result print(count_non_digits ('123')) print(count_non_digits ('2rPTy5')) print(count_non_digits ('hello world')) 11 Precheck Check 0 4 Answer: (penalty regime: 0, 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50 %) 1arrow_forwardLab Goal : This lab was designed to teach you more about recursion. Lab Description : Take a number and recursively determine how many of its digits are even. Return the count of the even digits in each number. % might prove useful to take the number apart digit by digitSample Data : 453211145322224532714246813579Sample Output : 23540 I want a code class and a runner class without the scanner classarrow_forward
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