我想写一个函数,它以一个字母数组作为参数,并从中选择一些字母。

假设您提供了一个包含8个字母的数组,并希望从中选择3个字母。那么你应该得到:

8! / ((8 - 3)! * 3!) = 56

数组(或单词),每个数组由3个字母组成。


当前回答

我的实现在c/c++

#include <unistd.h>
#include <stdio.h>
#include <iconv.h>
#include <string.h>
#include <errno.h>
#include <stdlib.h>

int main(int argc, char **argv)
{
    int opt = -1, min_len = 0, max_len = 0;
    char ofile[256], fchar[2], tchar[2];
    ofile[0] = 0;
    fchar[0] = 0;
    tchar[0] = 0;
    while((opt = getopt(argc, argv, "o:f:t:l:L:")) != -1)
    {
            switch(opt)
            {
                    case 'o':
                    strncpy(ofile, optarg, 255);
                    break;
                    case 'f':
                    strncpy(fchar, optarg, 1);
                    break;
                    case 't':
                    strncpy(tchar, optarg, 1);
                    break;
                    case 'l':
                    min_len = atoi(optarg);
                    break;
                    case 'L':
                    max_len = atoi(optarg);
                    break;
                    default:
                    printf("usage: %s -oftlL\n\t-o output file\n\t-f from char\n\t-t to char\n\t-l min seq len\n\t-L max seq len", argv[0]);
            }
    }
if(max_len < 1)
{
    printf("error, length must be more than 0\n");
    return 1;
}
if(min_len > max_len)
{
    printf("error, max length must be greater or equal min_length\n");
    return 1;
}
if((int)fchar[0] > (int)tchar[0])
{
    printf("error, invalid range specified\n");
    return 1;
}
FILE *out = fopen(ofile, "w");
if(!out)
{
    printf("failed to open input file with error: %s\n", strerror(errno));
    return 1;
}
int cur_len = min_len;
while(cur_len <= max_len)
{
    char buf[cur_len];
    for(int i = 0; i < cur_len; i++)
        buf[i] = fchar[0];
    fwrite(buf, cur_len, 1, out);
    fwrite("\n", 1, 1, out);
    while(buf[0] != (tchar[0]+1))
    {
        while(buf[cur_len-1] < tchar[0])
        {
            (int)buf[cur_len-1]++;
            fwrite(buf, cur_len, 1, out);
            fwrite("\n", 1, 1, out);
        }
        if(cur_len < 2)
            break;
        if(buf[0] == tchar[0])
        {
            bool stop = true;
            for(int i = 1; i < cur_len; i++)
            {
                if(buf[i] != tchar[0])
                {
                    stop = false;
                    break;
                }
            }
            if(stop)
                break;
        }
        int u = cur_len-2;
        for(; u>=0 && buf[u] >= tchar[0]; u--)
            ;
        (int)buf[u]++;
        for(int i = u+1; i < cur_len; i++)
            buf[i] = fchar[0];
        fwrite(buf, cur_len, 1, out);
        fwrite("\n", 1, 1, out);
    }
    cur_len++;
}
fclose(out);
return 0;
}

这里我的实现在c++,它写所有的组合到指定的文件,但行为可以改变,我在生成各种字典,它接受最小和最大长度和字符范围,目前只有ANSI支持,它足以满足我的需求

其他回答

我发现这个线程很有用,我想我会添加一个Javascript解决方案,你可以弹出到Firebug。取决于你的JS引擎,如果起始字符串很大,可能会花一点时间。

function string_recurse(active, rest) {
    if (rest.length == 0) {
        console.log(active);
    } else {
        string_recurse(active + rest.charAt(0), rest.substring(1, rest.length));
        string_recurse(active, rest.substring(1, rest.length));
    }
}
string_recurse("", "abc");

输出如下:

abc
ab
ac
a
bc
b
c

一个简洁的Javascript解决方案:

Array.prototype.combine=function combine(k){    
    var toCombine=this;
    var last;
    function combi(n,comb){             
        var combs=[];
        for ( var x=0,y=comb.length;x<y;x++){
            for ( var l=0,m=toCombine.length;l<m;l++){      
                combs.push(comb[x]+toCombine[l]);           
            }
        }
        if (n<k-1){
            n++;
            combi(n,combs);
        } else{last=combs;}
    }
    combi(1,toCombine);
    return last;
}
// Example:
// var toCombine=['a','b','c'];
// var results=toCombine.combine(4);

《计算机编程艺术,卷4A:组合算法,第1部分》第7.2.1.3节中算法L(字典组合)的C代码:

#include <stdio.h>
#include <stdlib.h>

void visit(int* c, int t) 
{
  // for (int j = 1; j <= t; j++)
  for (int j = t; j > 0; j--)
    printf("%d ", c[j]);
  printf("\n");
}

int* initialize(int n, int t) 
{
  // c[0] not used
  int *c = (int*) malloc((t + 3) * sizeof(int));

  for (int j = 1; j <= t; j++)
    c[j] = j - 1;
  c[t+1] = n;
  c[t+2] = 0;
  return c;
}

void comb(int n, int t) 
{
  int *c = initialize(n, t);
  int j;

  for (;;) {
    visit(c, t);
    j = 1;
    while (c[j]+1 == c[j+1]) {
      c[j] = j - 1;
      ++j;
    }
    if (j > t) 
      return;
    ++c[j];
  }
  free(c);
}

int main(int argc, char *argv[])
{
  comb(5, 3);
  return 0;
}

用c#的另一个解决方案:

 static List<List<T>> GetCombinations<T>(List<T> originalItems, int combinationLength)
    {
        if (combinationLength < 1)
        {
            return null;
        }

        return CreateCombinations<T>(new List<T>(), 0, combinationLength, originalItems);
    }

 static List<List<T>> CreateCombinations<T>(List<T> initialCombination, int startIndex, int length, List<T> originalItems)
    {
        List<List<T>> combinations = new List<List<T>>();
        for (int i = startIndex; i < originalItems.Count - length + 1; i++)
        {
            List<T> newCombination = new List<T>(initialCombination);
            newCombination.Add(originalItems[i]);
            if (length > 1)
            {
                List<List<T>> newCombinations = CreateCombinations(newCombination, i + 1, length - 1, originalItems);
                combinations.AddRange(newCombinations);
            }
            else
            {
                combinations.Add(newCombination);
            }
        }

        return combinations;
    }

用法示例:

   List<char> initialArray = new List<char>() { 'a','b','c','d'};
   int combinationLength = 3;
   List<List<char>> combinations = GetCombinations(initialArray, combinationLength);

Python中的简短示例:

def comb(sofar, rest, n):
    if n == 0:
        print sofar
    else:
        for i in range(len(rest)):
            comb(sofar + rest[i], rest[i+1:], n-1)

>>> comb("", "abcde", 3)
abc
abd
abe
acd
ace
ade
bcd
bce
bde
cde

为了解释,递归方法用下面的例子描述:

示例:A B C D E 3的所有组合是:

A与其余2的所有组合(B C D E) B与其余2的所有组合(C D E) C与其余2的所有组合(D E)