c# - 生成所有可能的组合

Question

给定 2 个数组 Array1 = {a,b,c...n}和 Array2 = {10,20,15....x}如何将所有可能的组合生成为字符串 a(i) b(j) c(k) n(p)
在哪里

1 <= i <= 10,  1 <= j <= 20 , 1 <= k <= 15,  .... 1 <= p <= x

如:

a1 b1 c1 .... n1  
a1 b1 c1..... n2  
......  
......  
a10 b20 c15 nx (last combination)

所以在所有组合总数= array2 =
(10 X 20 X 15 X ..X x) 元素的乘积

类似于笛卡尔积，其中第二个数组定义了第一个数组中每个元素的上限。

固定数字的例子，

    Array x =  [a,b,c]
    Array y =  [3,2,4] 

所以我们将有 3*2*4 = 24 种组合。结果应该是:

    a1 b1 c1  
    a1 b1 c2  
    a1 b1 c3  
    a1 b1 c4  

    a1 b2 c1  
    a1 b2 c2  
    a1 b2 c3  
    a1 b2 c4


    a2 b1 c1  
    a2 b1 c2  
    a2 b1 c3  
    a2 b1 c4  

    a2 b2 c1  
    a2 b2 c2  
    a2 b2 c3  
    a2 b2 c4


    a3 b1 c1  
    a3 b1 c2  
    a3 b1 c3  
    a3 b1 c4  

    a3 b2 c1  
    a3 b2 c2  
    a3 b2 c3  
    a3 b2 c4 (last)

Answer 1

using System;
using System.Text;

public static string[] GenerateCombinations(string[] Array1, int[] Array2)
{
    if(Array1 == null) throw new ArgumentNullException("Array1");
    if(Array2 == null) throw new ArgumentNullException("Array2");
    if(Array1.Length != Array2.Length)
        throw new ArgumentException("Must be the same size as Array1.", "Array2");

    if(Array1.Length == 0)
        return new string[0];

    int outputSize = 1;
    var current = new int[Array1.Length];
    for(int i = 0; i < current.Length; ++i)
    {
        if(Array2[i] < 1)
            throw new ArgumentException("Contains invalid values.", "Array2");
        if(Array1[i] == null)
            throw new ArgumentException("Contains null values.", "Array1");
        outputSize *= Array2[i];
        current[i] = 1;
    }

    var result = new string[outputSize];
    for(int i = 0; i < outputSize; ++i)
    {
        var sb = new StringBuilder();
        for(int j = 0; j < current.Length; ++j)
        {
            sb.Append(Array1[j]);
            sb.Append(current[j].ToString());
            if(j != current.Length - 1)
                sb.Append(' ');
        }
        result[i] = sb.ToString();
        int incrementIndex = current.Length - 1;
        while(incrementIndex >= 0 && current[incrementIndex] == Array2[incrementIndex])
        {
                current[incrementIndex] = 1;
                --incrementIndex;
        }
        if(incrementIndex >= 0)
            ++current[incrementIndex];
    }
    return result;
}