写了个C#的排列类
//-----------------------------------------------------------------------------
//
// 算法:排列类
//
// 版权所有(C) Snowdust
// 个人博客 http://blog.csdn.net/snowdust & http://snowdust.cnblogs.com
// MSN & Email snowdust77@sina.com
//
// 此源代码可免费用于各类软件(含商业软件)
// 允许对此代码的进一步修改与开发
// 但必须完整保留此版权信息
//
// 调用方法如下:
//
// 1.GetPermutation(T[], startIndex, endIndex)
// 返回从startIndex到endIndex的排列
//
// 2.GetPermutation(T[])
// 返回数组所有元素的全排列
//
// 版本历史:
// V0.1 2010-01-20 摘要:首次创建
//
//-----------------------------------------------------------------------------
using System;
using System.Collections.Generic;
namespace Arithmetic
{
public class Permutation<T>
{
/// <summary>
/// 交换两个变量
/// </summary>
/// <param name="a">变量1</param>
/// <param name="b">变量2</param>
public static void Swap(ref T a, ref T b)
{
T temp = a;
a = b;
b = temp;
}
/// <summary>
/// 递归算法求排列(私有成员)
/// </summary>
/// <param name="list">返回的列表</param>
/// <param name="t">原始数组</param>
/// <param name="startIndex">起始标号</param>
/// <param name="endIndex">结束标号</param>
private static void GetPermutation(ref List<T[]> list, T[] t, int startIndex, int endIndex)
{
if (startIndex == endIndex)
{
if (list == null)
{
list = new List<T[]>();
}
T[] temp = new T[t.Length];
t.CopyTo(temp, 0);
list.Add(temp);
}
else
{
for (int i = startIndex; i <= endIndex; i++)
{
Swap(ref t[startIndex], ref t[i]);
GetPermutation(ref list, t, startIndex + 1, endIndex);
Swap(ref t[startIndex], ref t[i]);
}
}
}
/// <summary>
/// 求数组的排列
/// </summary>
/// <param name="t">原始数组</param>
/// <param name="startIndex">起始标号</param>
/// <param name="endIndex">结束标号</param>
/// <returns>从起始标号到结束标号的排列</returns>
public static List<T[]> GetPermutation(T[] t, int startIndex, int endIndex)
{
if (startIndex < 0 || endIndex > t.Length - 1)
{
return null;
}
List<T[]> list = new List<T[]>();
GetPermutation(ref list, t, startIndex, endIndex);
return list;
}
/// <summary>
/// 求数组的排列
/// </summary>
/// <param name="t">原始数组</param>
/// <returns>全排列</returns>
public static List<T[]> GetPermutation(T[] t)
{
return GetPermutation(t, 0, t.Length - 1);
}
}
}
调用:
for (int i = 0; i < arr.Length; i++)
{
arr[i] = i + 1;
}
List<int[]> list = Arithmetic.Permutation<int>.GetPermutation(arr);