using System;
using System.Collections.Generic;
using System.Text;
namespace TestFactorial
{
/**//// <summary>
/// 10機制正整數類
/// </summary>
public class DecimalNumber
{
List<byte> _Data;
public List<byte> Data
{
get
{
return _Data;
}
}
public int Length
{
get
{
return _Data.Count;
}
}
public DecimalNumber()
{
_Data = new List<byte>();
}
public DecimalNumber(byte[] data)
{
foreach (byte b in data)
{
System.Diagnostics.Debug.Assert(b >= 0 && b <= 9);
}
_Data = new List<byte>(data);
}
public DecimalNumber(List<byte> data)
{
foreach (byte b in data)
{
System.Diagnostics.Debug.Assert(b >= 0 && b <= 9);
}
_Data = data;
}
/**//// <summary>
/// 1位10機制數和10進制序列相乘
///
/// </summary>
/// <param name="s">10進制序列</param>
/// <param name="d">1位10機制數</param>
/// <param name="power">10的冪數</param>
/// <returns></returns>
private static List<byte> Multiply(List<byte> s, byte d, int power)
{
System.Diagnostics.Debug.Assert(power >= 0);
System.Diagnostics.Debug.Assert(d >= 0 && d <= 9);
List<byte> result = new List<byte>();
for (int i = 0; i < power; i++)
{
result.Add(0);
}
byte carry = 0; //進位
foreach (byte si in s)
{
System.Diagnostics.Debug.Assert(si >= 0 && si <= 9);
byte r = (byte)(si* d + carry);
byte m = (byte)(r % 10);
carry = (byte)(r / 10);
result.Add(m);
}
if (carry > 0)
{
result.Add(carry);
}
return result;
}
/**//// <summary>
/// 兩個10進制序列相加
/// </summary>
/// <param name="s1">序列1</param>
/// <param name="s2">序列2</param>
/// <returns>相加後的序列</returns>
private static List<byte> Plus(List<byte> s1, List<byte> s2)
{
List<byte> result = new List<byte>();
int c1 = s1.Count;
int c2 = s2.Count;
if (c1 > c2)
{
for (int i = 0; i < c1 - c2; i++)
{
s2.Add(0);
}
}
else if (c1 < c2)
{
for (int i = 0; i < c2 - c1; i++)
{
s1.Add(0);
}
}
byte carry = 0; //進位
for (int i = 0; i < s1.Count; i++)
{
System.Diagnostics.Debug.Assert(s1[i] >= 0 && s1[i] <= 9);
System.Diagnostics.Debug.Assert(s2[i] >= 0 && s2[i] <= 9);
byte r = (byte)(s1[i] + s2[i] + carry);
byte m = (byte)(r % 10);
carry = (byte)(r / 10);
result.Add(m);
}
if (carry > 0)
{
result.Add(carry);
}
return result;
}
public static implicit operator DecimalNumber(string value)
{
List<byte> data = new List<byte>();
for (int i = value.Length - 1; i >= 0; i--)
{
data.Add(byte.Parse(value[i].ToString()));
}
return new DecimalNumber(data);
}
public static implicit operator DecimalNumber(int value)
{
System.Diagnostics.Debug.Assert(value >= 0);
return value.ToString();
}
public static DecimalNumber operator ++(DecimalNumber d)
{
return d + new DecimalNumber(new byte[] {1});
}
public static DecimalNumber operator +(DecimalNumber d1, int d2)
{
System.Diagnostics.Debug.Assert(d2 >= 0);
return d1 + d2.ToString();
}
public static DecimalNumber operator+(DecimalNumber d1, DecimalNumber d2)
{
return new DecimalNumber(Plus(d1.Data, d2.Data));
}
public static DecimalNumber operator*(DecimalNumber d1, DecimalNumber d2)
{
List<List<byte>> multiplicationSerial = new List<List<byte>>();
for (int i = 0; i < d1.Data.Count; i++)
{
multiplicationSerial.Add(Multiply(d2.Data, d1.Data[i], i));
}
List<byte> result = new List<byte>();
foreach(List<byte> s in multiplicationSerial)
{
result = Plus(s, result);
}
return new DecimalNumber(result);
}
public override string ToString()
{
StringBuilder str = new StringBuilder();
for (int i = _Data.Count - 1; i >= 0 ; i--)
{
str.Append(_Data[i].ToString());
}
return str.ToString();
}
}
class Program
{
static void Main(string[] args)
{
int d = 1;
DecimalNumber factorial = 1;
while (factorial.Length < 3)
{
d++;
factorial = factorial * d;
//Console.WriteLine(factorial);
//Console.WriteLine(d);
}
Console.WriteLine(d);
}
}
}