 # NineDigitMagicNumbers

Dec 1st, 2014
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1. //Hayvan often plays with numbers. His recent game was to play with 9-digit numbers and calculate their sums of digits, as well as to split them into triples with special properties. Help Hayvan to find a very special set of numbers called “Hayvan numbers”.
2. //Hayvan numbers are 9-digit numbers in format abcdefghi, such that their sub-numbers abc, def and ghi have a difference diff (ghi-def = def-abc = diff), their sum of digits is sum and abc < def < ghi, where each digit a, b, c, d, e, f, g, h and i is in range [5…9].
3. //Your task is to write a program to print all Hayvan numbers for given sum and diff in increasing order.
4. //Input
5. //•   The input data should be read from the console.
6. //•   The number sum stays at the first line.
7. //•   The number diff stays at the second line.
8. //The input data will always be valid and in the format described. There is no need to check it explicitly.
9. //Output
10. //The output should be printed on the console. Print Hayvan numbers matching given difference diff and given sum of digits sum, in increasing order, each at a separate line. In case no Hayvan numbers exits, print “No”.
11. //Constraints
12. //•   The number sum will be a positive integer number in the range [0…100].
13. //•   The number diff will be a positive integer number in the range [0…1000].
14. //•   Allowed working time for your program: 0.25 seconds.
15. //•   Allowed memory: 16 MB.
16.
17.
18. using System;
19.
20. class NineDigitMagicNumber
21. {
22.     static void Main()
23.     {
24.
25.         int sum = int.Parse(Console.ReadLine());
26.         int diff = int.Parse(Console.ReadLine());
27.         bool isNum = false;
28.
29.         for (int i = 111; i <= 777; i++)
30.         {
31.             int abc = i;
32.             int def = abc + diff;
33.             int ghi = def + diff;
34.
35.             if (ghi>777)
36.             {
37.                 break;
38.             }
39.             string wholeNumber = "" + abc + def + ghi;
40.             if (wholeNumber.Contains("8")||wholeNumber.Contains("9")||wholeNumber.Contains("0"))
41.             {
42.                 continue;
43.             }
44.             int targetSum = 0;
45.             for (int k = 0; k < wholeNumber.Length; k++)
46.             {
47.                 targetSum += Convert.ToInt32(Convert.ToString(wholeNumber[k]));
48.             }
49.             if (targetSum==sum)
50.             {
51.                 Console.WriteLine(wholeNumber);
52.                 isNum = true;
53.             }
54.         }
55.         if (!isNum)
56.         {
57.             Console.WriteLine("No");
58.         }
59.     }
60. }
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