使用枚举器求索引的全排列
caozhy使用枚举器求索引的全排列是个好办法,学习了一下,重新写了一个函数。
/// <summary>
/// 使用枚举器生成[n, count)索引全排列 。
/// </summary>
/// <param name="count">数目,索引在[0, count - 1]间 。</param>
/// <returns>索引全排列 。</returns>
/// <exception cref="ArgumentOutOfRangeException">如果count非法,抛出ArgumentOutOfRangeException 。</exception>
public static IEnumerable<IList<int>> PermutationIndice(int count)
{
if (count < 0)
{
throw new ArgumentOutOfRangeException("count");
}
IEnumerable<int> allIndice = Enumerable.Range(0, count);
IEnumerable<IList<int>> permutation = null;
for (int i = 0; i < count; i++)
{ // 每次迭代,求i个索引的排列全集
if (i == 0)
{
permutation = Enumerable.Select<int, IList<int>>(allIndice, x => new int[] { x });
//permutation = allIndice.Select<IList<int>>(x => new int[] { x });
}
else
{
permutation = Enumerable.SelectMany<IList<int>, IList<int>>(permutation,
l => Enumerable.Select<int, IList<int>>(allIndice.Except(l), x => new List<int>(l).Concat(new int[] { x }).ToList()));
//l => allIndice.Except(l).SelectMany<IList<int>>(x => new List<int>(new List<int>(l).Concat(new int[] { x}).ToList())));
}
}
return permutation;
}
------解决方案--------------------
C# code
using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
namespace ConsoleApplication1
{
class Program
{
static void Main(string[] args)
{
var result = Arrange(4);
foreach (var item in result)
{
Console.WriteLine(string.Join(",", item.Select(x => x.ToString()).ToArray()));
}
}
static IEnumerable<IEnumerable<int>> Arrange(int n)
{
IEnumerable<IEnumerable<int>> result = Enumerable.Range(0, n).Select(x => new List<int>() { x });
while (result.First().Count() < n)
{
result = result.SelectMany(x => Enumerable.Range(0, n).Except(x).Select(y => x.Concat(new List<int>() { y })));
}
return result;
}
}
}