ber becomes a single digit number equal to 1. Example: Number = 50113 => 5+0+1+1+3=10 => 1+0=1 [This is a Magic Number] Number = 1234 => 1+2+3+4=10 =
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Magic Number of coding-:
A number is said to be a magic number,
if summing the digits of the number and then recursively repeating this process for the given sum
untill the number becomes a single digit number equal to 1.
Example:
Number = 50113 => 5+0+1+1+3=10 => 1+0=1 [This is a Magic Number]
Number = 1234 => 1+2+3+4=10 => 1+0=1 [This is a Magic Number]
Number = 199 => 1+9+9=19 => 1+9=10 => 1+0=1 [This is a Magic Number]
Number = 111 => 1+1+1=3 [This is NOT a Magic Number].
Step by step
Solved in 3 steps with 1 images
- Magic Number coding question---1. A number is said to be a magic number,if summing the digits of the number and then recursively repeating this process for the given sumuntill the number becomes a single digit number equal to 1. Example: Number = 50113 => 5+0+1+1+3=10 => 1+0=1 [This is a Magic Number] Number = 1234 => 1+2+3+4=10 => 1+0=1 [This is a Magic Number] Number = 199 => 1+9+9=19 => 1+9=10 => 1+0=1 [This is a Magic Number] Number = 111 => 1+1+1=3 [This is NOT a Magic Number].Magic Number Code question::-1.A number is said to be a magic number,if summing the digits of the number and then recursively repeating this process for the given sumuntill the number becomes a single digit number equal to 1. Example: Number = 50113 => 5+0+1+1+3=10 => 1+0=1 [This is a Magic Number] Number = 1234 => 1+2+3+4=10 => 1+0=1 [This is a Magic Number] Number = 199 => 1+9+9=19 => 1+9=10 => 1+0=1 [This is a Magic Number] Number = 111 => 1+1+1=3 [This is NOT a Magic Number].Lab Goal : This lab was designed to teach you more about recursion. Lab Description : luckyThrees will return a count of the 3s in the number unless the 3 is at the start. A 3 at the start of the number does not count. /* luckyThrees will return the count of 3s in the number* unless the 3 is at the front and then it does not count* 3 would return 0* 31332 would return 2* 134523 would return 2* 3113 would return 1* 13331 would return 3* 777337777 would return 2* the solution to this problem must use recursion*/public static int luckyThrees( long number ){} Sample Data : 331332134523311313331777337777 Sample Output : 022132
- 3-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 3Recursive PrintingDesign a recursive function that accepts an integer argument,n , and prints the numbers 1 up through n .Recursive 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).
- Recursive Power FunctionWrite 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 that the exponent is a nonnegative integer. Demonstrate the function in a program. SAMPLE RUN #0: ./recursiveExponent Hide Invisibles Highlight: Show Highlighted Only 2^3=8↵ 2^4=16↵ 3^3=27↵ 6^3=216↵ 7^7=823543↵ 10^9=1000000000↵python def factorial(n):pass # replace this line with your lines of recursive codedef sum_recursively(n):pass # replace this line with your lines of recursive codedef sumlist_recursively(l):pass # replace this line with your lines of recursive codedef reverse_recursively(l):pass # replace this line with your lines of recursive code#EXTRA CREDITdef multiply_recursively(n, m):pass # replace this line with your lines of recursive codeRecursive Multiplication Design a recursive function that accepts two arguments into the parameters x and y. The function should return the value of x times y. Remember, multiplication can be performed as repeated addition as follows: 7×4=4+4+4+4+4+4+4(To keep the function simple, assume that x and y will always hold positive nonzero integers.) IN Q BASIC LANGUAGE
- T/F: All recursive algorithms are efficient due to its recursive property.def recursive_sequence(self, n):"""Calculate a sequence where the value is 3 times the previous value minus the second value prior in the sequence.For values less than 0 raise an IndexErrorn 0 1 2 3 4 ...f(n) 1 2 5 13 34Note: Do not use unnecessary/extra base cases as they will interfere with unit tests.:param n::return: sequence value""" PYTHON7. 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.