排列3D的全排列组合
上午看见有c写的全排列,我也想用C#来实现一下,买过彩票的朋友应该都熟悉3d吧,那么我简单实现一个3d彩票的全排列,3D是从0-9(可能是1-9)这些数字,然后从中选3个数,可以有全排列的买法,也有组合的买法,那么下面贴代码了(vs2008)。
代码
//-------------------- 全排列和组合排列
class B_Test
{
/// <summary>
/// 对数组进行组合操作,选取selectCount个元素进行组合
/// </summary>
/// <param name="lsArray">即将进行组合操作的数组</param>
/// <param name="selectCount">选取的元素的个数</param>
public static void C(List<string> lsArray, int selectCount)
{
int totolcount = lsArray.Count;
int[] currectselect = new int[selectCount];
int last = selectCount - 1;
for (int i = 0; i < selectCount; i++)
{
currectselect[i] = i;
}
while (true)
{
for (int i = 0; i < selectCount; i++)
{
Console.Write(" {0} ", lsArray[currectselect[i]]);
}
Console.WriteLine();
if (currectselect[last] < totolcount - 1)
{
currectselect[last]++;
}
else
{
int pos = last;
while (pos > 0 && currectselect[pos - 1] == currectselect[pos] - 1)
{
pos--;
}
if (pos == 0) return;
currectselect[pos - 1]++;
for (int i = pos; i < selectCount; i++)
{
currectselect[i] = currectselect[i - 1] + 1;
}
}
}
}
#region
/// <summary>
/// 返回组合值(思想是用currectselect记录取的lsArray的每个数对应数组的位置,先把currectselect最后一数加到isarry.cout,接着是倒数第二个加到小于倒数第一个,依次类推知道第0位)
/// </summary>
/// <param name="lsArray">即将进行组合操作的数组</param>
/// <param name="selectCount">选取的元素的个数</param>
public static List<string> D(List<string> lsArray, int selectCount)
{
List<string> list_return=new List<string>();
int totolcount = lsArray.Count;
int[] currectselect = new int[selectCount];
int last = selectCount - 1;
for (int i = 0; i < selectCount; i++)
{
currectselect[i] = i;
}
while (true)
{
for (int i = 0; i < selectCount; i++)
{
list_return.Add(lsArray[currectselect[i]]);
//Console.Write(" {0} ", lsArray[currectselect[i]]);
}
//Console.WriteLine();
if (currectselect[last] < totolcount - 1)
{
currectselect[last]++;
}
else
{
int pos = last;
while (pos > 0 && currectselect[pos - 1] == currectselect[pos] - 1)
{
pos--;
}
if (pos == 0) break;
currectselect[pos - 1]++;
for (int i = pos; i < selectCount; i++)
{
currectselect[i] = currectselect[i - 1] + 1;
}
}
}
return list_return;
}
/// <summary>
/// list 排列的数组的次序
/// </summary>
/// <param name="list">排列数组</param>
/// <param name="selectCount">全排列的个数</param>
public static void PN(Func<List<string>, int, List<string>> list,List<string> list_input, int selectCount)
{
List<string> list_get = new List<string>();
list_get = list(list_input,selectCount);
List<string> sub_list = new List<string>();
foreach (string lis in list_get)
{
sub_list.Add(lis);
if(sub_list.Count==selectCount)
{
A(sub_list,0,selectCount-1);
sub_list.Clear();
}
}
Console.Write("----------p/n--------");
Console.WriteLine();
}
#endregion
/// <summary>
/// 对数组进行全排列(用全排列的递归思想)
/// </summary>
/// <param name="lsArray">要进行全排列的数组</param>
/// <param name="begin">进行全排列的开始下标</param>
/// <param name="end">进行全排列的结束下标</param>
public static void A(List<string> lsArray, int begin, int end)
{
if (begin == end)
{
for (int i = 0; i <= end; i++)
Console.Write(" {0} ", lsArray[i]);
Console.WriteLine();
}
for (int i = begin; i <= end; i++)
{
Swap(lsArray, begin, i);
A(lsArray, begin + 1, end);
Swap(lsArray, begin, i);
}
}
/// <summary>
/// 交换数组中的下标为x,y的值
/// </summary>
/// <param name="lsArray">该数组</param>
/// <param name="x"></param>
/// <param name="y"></param>
public static void Swap(List<string> lsArray, int x, int y)
{
string t = lsArray[x];
lsArray[x] = lsArray[y];
lsArray[y] = t;
}
}
对排列3进行操作:
代码
static void Main(string[] args)
{
//B_Test b_test = new B_Test();
List<string> list = new List<string>();
for (int i = 1; i < 10; i++)
{
list.Add(i.ToString());
}
// B_Test.PN(B_Test.D(list,3),list,3);
//从数组p中任意选n个数进行全排列p(n)即排列三
B_Test.PN((a, b) => B_Test.D(a,b), list, 3);
//排列3组合
B_Test.C(list, 3);
//Console.WriteLine("---------------------");
//数组前n个数的全排列(0,1,2)的全排列
B_Test.A(list, 0, 3);
Console.Read();
}
有错误的地方欢迎大家拍砖,希望交流和共享。