(Display Magic Numbers) Display the first N magic numbers, where N is a positive number that the user provides as input. Here, a magic number is a number whose sum of its digits eventually leads to 1. For example, 1234 is a magic number because 1 + 2 + 3 + 4 = 10 and 1 + 0 = 1, while 1235 is not (1 + 2 + 3 + 5 = 11 and 1 + 1 = 2). Write a program that prints out the first N magic numbers, seven on each line.   Here is the sample output:     You are required to use the following function prototype: bool isMagic(int value);  // Returns true if value is a magic number   The outline of this function will be as follows:   Step 1:  Calculate the sum of digits of value Step 2:  Repeat Step 1 until we get a single digit Step 3:  If the resulting sum is equal to 1 then it is a magic number, otherwise not

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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(Display Magic Numbers) Display the first N magic numbers, where N is a positive number that the user provides as input. Here, a magic number is a number whose sum of its digits eventually leads to 1. For example, 1234 is a magic number because 1 + 2 + 3 + 4 = 10 and 1 + 0 = 1, while 1235 is not (1 + 2 + 3 + 5 = 11 and 1 + 1 = 2). Write a program that prints out the first N magic numbers, seven on each line.

 

Here is the sample output:

 

 

You are required to use the following function prototype:

bool isMagic(int value);  // Returns true if value is a magic number

 

The outline of this function will be as follows:

 

Step 1:  Calculate the sum of digits of value

Step 2:  Repeat Step 1 until we get a single digit

Step 3:  If the resulting sum is equal to 1 then it is a magic number, otherwise not

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