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using System;
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using System.Collections.Generic;
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using System.Linq;
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class Program
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{
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static Tuple<int, int> DigitalRoot(long num)
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{
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int mp = 0;
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while (num > 9)
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{
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num = num.ToString().ToCharArray().Select(x => x - '0').Aggregate((a, b) => a * b);
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mp++;
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}
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return new Tuple<int, int>(mp, (int)num);
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}
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static void Main(string[] args)
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{
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foreach (long num in new long[] { 123321, 7739, 893, 899998 })
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{
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var t = DigitalRoot(num);
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Console.WriteLine("{0} has multiplicative persistence {1} and multiplicative digital root {2}", num, t.Item1, t.Item2);
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}
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const int twidth = 5;
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List<long>[] table = new List<long>[10];
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for (int i = 0; i < 10; i++)
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table[i] = new List<long>();
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long number = -1;
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while (table.Any(x => x.Count < twidth))
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{
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var t = DigitalRoot(++number);
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if (table[t.Item2].Count < twidth)
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table[t.Item2].Add(number);
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}
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for (int i = 0; i < 10; i++)
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Console.WriteLine(" {0} : [{1}]", i, string.Join(", ", table[i]));
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}
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}
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