a + b + c + d + e = N求解代码

题目：a+b+c+d+e+f=n    n这个值是自个输入的..求a,b,c,d,e,f的值.

解答程序（第一份程序，未做任何优化）：

using System;
using System.Collections.Generic;
using System.Text;

namespace FiveNumber
{
    class Program
    {
        static void Main(string[] args)
        {
            int N = Convert.ToInt32(Console.ReadLine());
            Console.WriteLine();

            System.Diagnostics.Stopwatch sw = new System.Diagnostics.Stopwatch();
            sw.Start();

            StringBuilder sb = new StringBuilder();
            int i = 0;
            int temp = N > 100 ? 100 : N;
            int tempA, tempB, tempC, tempD, tempE;

            tempA = N / 5;
            for (int a = 1; a < temp; a++)
            {
                if (a > tempA)
                {
                    break;
                }

                tempB = ((N - (a)) / 2);
                for (int b = a; b < temp; b++)
                {
                    if ((b - a) > tempB)
                    {
                        break;
                    }

                    tempC = ((N - (a + b)) / 2);
                    for (int c = b; c < temp; c++)
                    {
                        if ((c - b) > tempC)
                        {
                            break;
                        }

                        tempD = ((N - (a + b + c)) / 2);
                        for (int d = c; d < temp; d++)
                        {
                            if ((d - c) > tempD)
                            {
                                break;
                            }

                            tempE = ((N - (a + b + c + d)) / 2);
                            for (int e = d; e < temp; e++)
                            {
                                

                                if (a + b + c + d + e == N)
                                {
                                    i++;
                                    sb.Append(string.Format("{0} + {1} + {2} + {3} + {4} = {5}", a, b, c, d, e, N));
                                    sb.Append(Environment.NewLine);

                                    if ((e - d) > tempE)
                                    {
                                        break;
                                    }
                                }
                                else if (a + b + c + d + e > N)
                                {
                                    break;
                                }
                            }
                        }
                    }
                }
            }

            sw.Stop();

            //显示所有结果
            //Console.WriteLine(sb.ToString());

            //总耗时
            Console.WriteLine(string.Format("Spent time: {0}s {1}ms", sw.Elapsed.Seconds, sw.Elapsed.Milliseconds));

            //总记录数
            Console.WriteLine(string.Format("Result count: {0}", i.ToString()));

            Console.ReadLine();
        }
    }
}

几组输出数据：
10

1 + 1 + 1 + 1 + 6 = 10
1 + 1 + 1 + 2 + 5 = 10
1 + 1 + 1 + 3 + 4 = 10
1 + 1 + 2 + 2 + 4 = 10
1 + 1 + 2 + 3 + 3 = 10
1 + 2 + 2 + 2 + 3 = 10
2 + 2 + 2 + 2 + 2 = 10

Spent time: 0s 0ms
Result count: 7
------------------------------------------------------------------
11

1 + 1 + 1 + 1 + 7 = 11
1 + 1 + 1 + 2 + 6 = 11
1 + 1 + 1 + 3 + 5 = 11
1 + 1 + 1 + 4 + 4 = 11
1 + 1 + 2 + 2 + 5 = 11
1 + 1 + 2 + 3 + 4 = 11
1 + 1 + 3 + 3 + 3 = 11
1 + 2 + 2 + 2 + 4 = 11
1 + 2 + 2 + 3 + 3 = 11
2 + 2 + 2 + 2 + 3 = 11

Spent time: 0s 0ms
Result count: 10
-----------------------------------------------
120

Spent time: 0s 488ms
Result count: 77686