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1 | using System; | |
2 | using System.Text; | |
3 | ||
4 | class CalculateNFacturielwithDigitsInArray | |
5 | { | |
6 | static void Main() | |
7 | { | |
8 | Console.WriteLine("Insert Number to calculate its facturial:"); | |
9 | string n = Console.ReadLine(); | |
10 | //n = MultiplyTwoNumbersByDigits("85", "135"); | |
11 | string facturiel = CalcFacturiel(n); | |
12 | Console.WriteLine(facturiel); | |
13 | } | |
14 | ||
15 | private static string CalcFacturiel(string n) | |
16 | { | |
17 | if (n.Length == 1) | |
18 | { | |
19 | if (Convert.ToInt32(n) > 1) | |
20 | { | |
21 | n = MultiplyTwoNumbersByDigits(n, CalcFacturiel(numberMinusOne(n))); | |
22 | } | |
23 | } | |
24 | else | |
25 | { | |
26 | n = MultiplyTwoNumbersByDigits(n, CalcFacturiel(numberMinusOne(n))); | |
27 | } | |
28 | return n; | |
29 | } | |
30 | static string numberMinusOne(string n) | |
31 | { | |
32 | StringBuilder sb = new StringBuilder(); | |
33 | sb.Append(n); | |
34 | int number; | |
35 | int i = 1; | |
36 | do | |
37 | { | |
38 | number = Convert.ToInt32(sb[sb.Length - i].ToString()); | |
39 | ||
40 | if (number != 0) | |
41 | { | |
42 | sb.Remove(sb.Length - i, 1); | |
43 | - | if (number - 1 != 0 && sb.Length == i) |
43 | + | if (number - 1 != 0 || sb.Length >= i) |
44 | { | |
45 | sb.Insert(sb.Length - i + 1, (number - 1)); | |
46 | } | |
47 | } | |
48 | i++; | |
49 | } | |
50 | while (number == 0); | |
51 | i--; | |
52 | sb.Replace("0", "9", sb.Length + 1 - i, i -1); | |
53 | ||
54 | n = sb.ToString(); | |
55 | return n; | |
56 | } | |
57 | ||
58 | static string MultiplyTwoNumbersByDigits(string firstNumber, string secondNumber) | |
59 | { | |
60 | int[] firstArray = new int[firstNumber.Length]; | |
61 | int[] secondArray = new int[secondNumber.Length]; | |
62 | int[] multiArray = new int[Math.Max(firstNumber.Length, secondNumber.Length) * 2]; | |
63 | int[] multiArrayCurrent = new int[multiArray.Length]; | |
64 | int[] multiArrayPrevious = new int[multiArray.Length]; | |
65 | StringBuilder Number = new StringBuilder(); | |
66 | Number.Append(firstNumber); | |
67 | for (int i = 0; i < firstNumber.Length; i++) | |
68 | { | |
69 | firstArray[i] = Convert.ToInt32(Number[firstNumber.Length - 1 - i].ToString()); | |
70 | } | |
71 | Number.Clear(); | |
72 | Number.Append(secondNumber); | |
73 | for (int i = 0; i < secondNumber.Length; i++) | |
74 | { | |
75 | secondArray[i] = Convert.ToInt32(Number[secondNumber.Length - 1 - i].ToString()); | |
76 | } | |
77 | Number.Clear(); | |
78 | for (int j = 0; j < firstNumber.Length; j++) | |
79 | { | |
80 | for (int i = 0; i <secondNumber.Length + 1; i++) | |
81 | { | |
82 | if (i == 0) | |
83 | { | |
84 | multiArrayCurrent[i + j] = (firstArray[j] * secondArray[i]) % 10; | |
85 | } | |
86 | else if (i == Math.Max(firstNumber.Length, secondNumber.Length)) | |
87 | { | |
88 | multiArrayCurrent[i + j] = (firstArray[j] * secondArray[i - 1]) / 10; | |
89 | } | |
90 | else | |
91 | { | |
92 | multiArrayCurrent[i + j] = (firstArray[j] * secondArray[i]) % 10 + (firstArray[j] * secondArray[i - 1]) / 10; | |
93 | } | |
94 | } | |
95 | int naum = 0; | |
96 | for (int i = 0; i < multiArray.Length; i++) | |
97 | { | |
98 | if (i == 0) | |
99 | { | |
100 | multiArray[i] = (multiArrayCurrent[i] + multiArrayPrevious[i]) % 10; | |
101 | } | |
102 | else if (i == multiArray.Length) | |
103 | { | |
104 | multiArray[i] = (multiArrayCurrent[i - 1] + multiArrayPrevious[i - 1]) / 10; | |
105 | } | |
106 | else | |
107 | { | |
108 | multiArray[i] = (multiArrayCurrent[i] + multiArrayPrevious[i]) % 10 + (multiArrayCurrent[i - 1] + multiArrayPrevious[i - 1]) / 10 +naum; | |
109 | naum = 0; | |
110 | if (multiArray[i] > 9) | |
111 | { | |
112 | naum = multiArray[i] / 10; | |
113 | multiArray[i] = multiArray[i] % 10; | |
114 | } | |
115 | } | |
116 | } | |
117 | ||
118 | multiArray.CopyTo(multiArrayPrevious, 0); | |
119 | Array.Clear(multiArrayCurrent,0,multiArrayCurrent.Length); | |
120 | ||
121 | ||
122 | } | |
123 | Array.Reverse(multiArray); | |
124 | if (multiArray[0] != 0) | |
125 | { | |
126 | Number.Append(multiArray[0]); | |
127 | } | |
128 | bool isZero = false; | |
129 | for (int i = 1; i < multiArray.Length; i++) | |
130 | { | |
131 | if (multiArray[i] != 0 || isZero) | |
132 | { | |
133 | Number.Append(multiArray[i]); | |
134 | isZero = true; | |
135 | } | |
136 | } | |
137 | return Number.ToString(); | |
138 | } | |
139 | } |