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.   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 the 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 Here is the sample output:

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
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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.

 

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 the 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

Here is the sample output:

Enter a positive integer number: 30
1
10
19
28
37
46
55
64
73
82
91
100
109
118
127
136
145
154
163
172
181
190
199
208
217
226
235
244
253
262
Transcribed Image Text:Enter a positive integer number: 30 1 10 19 28 37 46 55 64 73 82 91 100 109 118 127 136 145 154 163 172 181 190 199 208 217 226 235 244 253 262
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