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Single File Programming QuestionProblem StatementJustin needs a program to generate and analyze the Hailstone Sequence for a specific positive number up to 1. Hailstone Sequences follow these rules: If a number is even, divide it by 2. If a number is odd, multiply it by 3 and add 1.Help Justin by writing a program using a function to calculate the Hailstone sequence.For example: If the input number is 13, the calculations are as follows:13 (Odd): 3 * 13 + 1 = 4040 (Even): 40 / 2 = 2020 (Even): 20 / 2 = 1010 (Even): 10 / 2 = 55 (Odd): 3 * 5 + 1 = 1616 (Even): 16 / 2 = 88 (Even): 8 / 2 = 44 (Even): 4 / 2 = 22 (Even): 2 / 2 = 1Hence the sequence is 13 40 20 10 5 16 8 4 2 1 and the length of the sequence is 10. Note: This question helps in clearing technical coding tests for service-based companies.Input format :The input consists of a positive integer n, representing the starting number for the Hailstone Sequence.Output format :The first line displays the Hailstone Sequence starting from n up to 1, separated by a space.The second line displays "The length of the sequence is X." where X is the length of the generated sequence.

Question

Single File Programming QuestionProblem StatementJustin needs a program to generate and analyze the Hailstone Sequence for a specific positive number up to 1. Hailstone Sequences follow these rules: If a number is even, divide it by 2. If a number is odd, multiply it by 3 and add 1.Help Justin by writing a program using a function to calculate the Hailstone sequence.For example: If the input number is 13, the calculations are as follows:13 (Odd): 3 * 13 + 1 = 4040 (Even): 40 / 2 = 2020 (Even): 20 / 2 = 1010 (Even): 10 / 2 = 55 (Odd): 3 * 5 + 1 = 1616 (Even): 16 / 2 = 88 (Even): 8 / 2 = 44 (Even): 4 / 2 = 22 (Even): 2 / 2 = 1Hence the sequence is 13 40 20 10 5 16 8 4 2 1 and the length of the sequence is 10. Note: This question helps in clearing technical coding tests for service-based companies.Input format :The input consists of a positive integer n, representing the starting number for the Hailstone Sequence.Output format :The first line displays the Hailstone Sequence starting from n up to 1, separated by a space.The second line displays "The length of the sequence is X." where X is the length of the generated sequence.

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Solution

Here is a Python solution for the problem:

def hailstone(n):
    sequence = [n]
    while n != 1:
        if n % 2 == 0:
            n = n // 2
        else:
            n = 3 * n + 1
        sequence.append(n)
    return sequence

n = int(input("Enter a positive integer: "))
sequence = hailstone(n)

print(" ".join(str(i) for i in sequence))
print("The length of the sequence is {}.".format(len(sequence)))

This program works as follows:

  1. It defines a function hailstone(n) that generates the Hailstone sequence for a given positive integer n. The function starts by initializing a list sequence with n as its first element. Then, it enters a loop that continues until n becomes 1. In each iteration of the loop, it checks whether n is even or odd. If n is even, it divides n by 2; if n is odd, it multiplies n by 3 and adds 1. It then appends the new value of n to sequence.

  2. It prompts the user to enter a positive integer and stores the input in n.

  3. It calls hailstone(n) to generate the Hailstone sequence for n and stores the result in sequence.

  4. It prints the elements of sequence, separated by spaces.

  5. It prints the length of sequence.

This problem has been solved

Similar Questions

Justin needs a program to generate and analyze the Hailstone Sequence for a specific positive number up to 1. Hailstone Sequences follow these rules: If a number is even, divide it by 2. If a number is odd, multiply it by 3 and add 1.Help Justin by writing a program using a function to calculate the Hailstone sequence.

Help Justin by writing a program using a function to calculate the Hailstone sequence.For example: If the input number is 13, the calculations are as follows:13 (Odd): 3 * 13 + 1 = 4040 (Even): 40 / 2 = 2020 (Even): 20 / 2 = 1010 (Even): 10 / 2 = 55 (Odd): 3 * 5 + 1 = 1616 (Even): 16 / 2 = 88 (Even): 8 / 2 = 44 (Even): 4 / 2 = 22 (Even): 2 / 2 = 1Hence the sequence is 13 40 20 10 5 16 8 4 2 1 and the length of the sequence is 10. Note: This question helps in clearing technical coding tests for service-based companies.Input format :The input consists of a positive integer n, representing the starting number for the Hailstone Sequence.Output format :The first line displays the Hailstone Sequence starting from n up to 1, separated by a space.The second line displays "The length of the sequence is X." where X is the length of the generated sequence.Refer to the sample output for the formatting specifications.Code constraints :In the given scenario, the test cases fall under the following constraints:2 ≤ n ≤ 300Sample test cases :Input 1 :13Output 1 :13 40 20 10 5 16 8 4 2 1 The length of the sequence is 10.Input 2 :300Output 2 :300 150 75 226 113 340 170 85 256 128 64 32 16 8 4 2 1 The length of the sequence is 17.Input 3 :2Output 3 :2 1 The length of the sequence is

Single File Programming QuestionProblem StatementHelen is developing a program for a gaming application that involves generating a sequence of mystical numbers based on the Tribonacci series. She needs to implement a recursive function tribonacci to determine the Tribonacci numbers for various stages of the quest. Write a program to achieve her task.The Tribonacci series is a sequence of numbers defined as the sum of the three preceding terms. 0, 1, 1, 2, 4, 7, 13, and so on.Input format :The input consists of a positive integer n.Output format :The output displays the n terms in the Tribonacci series, separated by a space.Refer to the sample output for the formatting specifications.Code constraints :In the given scenario, the test cases fall under the following constraints:1 ≤ n ≤ 20Sample test cases :Input 1 :2Output 1 :0 1 Input 2 :9Output 2 :0 1 1 2 4 7 13 24 44 Input 3 :18Output 3 :0 1 1 2 4 7 13 24 44 81 149 274 504 927 1705 3136 5768 10609 Note :The program will be evaluated only after the “Submit Code” is clicked.Extra spaces and new line characters in the program output will result in the failure of the test case.

Single File Programming QuestionProblem StatementImagine Mary is developing a program to calculate the digital root of a positive integer. The digital root of a positive integer is the number obtained by repeatedly summing the digits until a one-digit sum is obtained. For example, for the number 873597, the digital root is calculated in the following steps:-> 8 + 7 + 3 + 5 + 9 + 7 = 39 -> 3 + 9 = 12 -> 1 + 2 = 3 Write a program that will read in a positive integer and write both its digital root and the number of steps required to obtain it.Note: This question was asked in ACM-ISPC contest.Input format :The input consists of a positive integer n.Output format :The first line displays "Digital Root: " followed by the digital root of n.The second line displays "Number of Steps: " followed by the number of steps required to reach a single-digit digital root.Refer to the sample output for the formatting specificationsCode constraints :In the given scenario, the test cases fall under the following constraints:2 ≤ n ≤ 106Sample test cases :Input 1 :123Output 1 :Digital Root: 6Number of Steps: 1Input 2 :2Output 2 :Digital Root: 2Number of Steps: 0Input 3 :873597Output 3 :Digital Root: 3Number of Steps: 3Input 4 :1000000Output 4 :Digital Root: 1Number of Steps: 1

Single File Programming QuestionProblem StatementDevelop a program to simulate the countdown sequence for a historic rocket launch. Given a positive integer n representing the number of seconds left, the program should print a countdown sequence in the format "n-(n-1)-...-1". This countdown replicates the final moments before the liftoff of a significant space mission. Write a recursive function called countdown that takes n as input and prints the countdown sequence.Input format :The input consists of an integer n, representing the number of seconds left for the rocket launch.Output format :The output prints the countdown sequence in the format: "n-(n-1)-...-1".Refer to the sample output for the formatting specifications.Code constraints :In the given scenario, the test cases fall under the following constraints:5 ≤ n ≤ 100Sample test cases :Input 1 :5Output 1 :5-4-3-2-1Input 2 :13Output 2 :13-12-11-10-9-8-7-6-5-4-3-2-1Input 3 :100Output 3 :100-99-98-97-96-95-94-93-92-91-90-89-88-87-86-85-84-83-82-81-80-79-78-77-76-75-74-73-72-71-70-69-68-67-66-65-64-63-62-61-60-59-58-57-56-55-54-53-52-51-50-49-48-47-46-45-44-43-42-41-40-39-38-37-36-35-34-33-32-31-30-29-28-27-26-25-24-23-22-21-20-19-18-17-16-15-14-13-12-11-10-9-8-7-6-5-4-3-2-1Note :The program will be evaluated only after the “Submit Code” is clicked.Extra spaces and new line characters in the program output will result in the failure of the test case.

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