'n'字符串的所有可能组合,重复:C= n!/(n-k)!
All the possible combinations of 'n' strings, with repetitions: C= n!/(n-k)!
我想有这样的东西:
combination no 1: sentence1 sentence2 sentence3 sentence4
combination no 2: sentence1 sentence2 sentence4 sentence3
combination no 3: sentence1 sentence3 sentence2 sentence4
combination no 4: sentence1 sentence3 sentence4 sentence2
combination no 5: sentence1 sentence4 sentence3 sentence2
combination no 6: sentence1 sentence4 sentence2 sentence3
等等…
现在,使用下面的代码,我如何处理公式中的"k"变量?少了什么吗?同样,这是关于重复的组合所以我认为公式是C= n!/(n-k)!.
// next_permutation example
#include <iostream> // std::cout
#include <algorithm> // std::next_permutation, std::sort
#include <string> // std::string
#include <vector> // std::vector
int main () {
std::string sentence1 = " A Sentence number one ";
std::string sentence2 = " B Sentence number two ";
std::string sentence3 = " C Sentence number three ";
std::string sentence4 = " D Sentence number four ";
// Store all the elements in a container ( here a std::vector)
std::vector<std::string> myVectorOfStrings;
// In the vector we add all the sentences.
// Note : It is possible to do myVectorOfStrings.push_back("Some sentence");
myVectorOfStrings.push_back(sentence1);
myVectorOfStrings.push_back(sentence2);
myVectorOfStrings.push_back(sentence3);
myVectorOfStrings.push_back(sentence4);
// The elements must be sorted to output all the combinations
std::sort (myVectorOfStrings.begin(),myVectorOfStrings.end());
std::cout << "The 4! possible permutations with 4 elements:n";
do {
//This printing can be improved to handle any number of sentences, not only four.
std::cout << myVectorOfStrings[0] << ' ' << myVectorOfStrings[1] << ' ' << myVectorOfStrings[2] << ' ' << myVectorOfStrings[3] << 'n';
} while ( std::next_permutation(myVectorOfStrings.begin(),myVectorOfStrings.end()) );
std::cout << "After loop: " << myVectorOfStrings[0] << ' ' << myVectorOfStrings[1] << ' ' << myVectorOfStrings[2] << ' ' << myVectorOfStrings[3] << 'n';
return 0;
}
您所说的k
是自动处理的。假设,如果你在向量中插入两个相似的句子,假设有4个句子,其中两个是相同的。那么排列的总数是4!/2!=12
。因此,该函数只打印12个排列,而不是24
。下面用类似的句子查看修改后的代码的输出: