uva10098 Generating Fast, Sorted Permutation

本文展示了一个使用C++编写的程序,该程序能够接收一个字符串作为输入,并输出该字符串的所有可能排列组合。通过先对字符串进行排序再利用next_permutation函数实现了全排列的输出。

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#include"iostream"
#include"stdio.h"
#include"string.h"
#include"algorithm"
#include"stdlib.h"
using namespace std;
char s[100];
int main()
{
int t;
cin>>t;
getchar();
while(t--)
{
scanf("%s",s);
sort(s,s+strlen(s));//所有可能情况,故要先按从小到大排序
do
{
cout<<s<<endl;
}while(next_permutation(s,s+strlen(s)));
cout<<endl;//每一个输出后都有空行,不是每两个输出之间
}
return 0;
}

转载于:https://www.cnblogs.com/acm-jing/p/4246625.html

### Permutation Function Usage and Implementation Permutations represent all possible arrangements of elements within a set or list. In programming, permutations are often used in combinatorial problems where order matters. In Python, the `itertools` module provides a convenient way to generate permutations through its `permutations()` function[^1]. This function returns an iterator that produces all possible permutations of input iterable items. Each permutation is represented as a tuple. For example: ```python import itertools elements = ['a', 'b', 'c'] perm_obj = itertools.permutations(elements) for p in perm_obj: print(p) ``` The above code snippet will output tuples representing each unique arrangement of `'a'`, `'b'`, and `'c'`. When implementing custom permutation functions without relying on built-in libraries like `itertools`, recursion serves as one effective approach. A recursive algorithm works by selecting every element in turn while recursively generating remaining combinations until no more choices remain. Here’s how such a simple implementation might look: ```python def permute(data, prefix=""): if len(data) == 0: print(prefix) else: for i in range(len(data)): rem = data[:i] + data[i+1:] permute(rem, prefix + data[i]) # Example usage data = "abc" permute(data) ``` This script defines a function named `permute()`. It takes two parameters: `data`, which contains characters yet to be included in current string being formed (`prefix`). By iterating over indices of `data`, it progressively builds up strings containing different character orders before printing them out once base case reached when there's nothing left inside `data`. Applications of permutation generation span across various domains including cryptography, bioinformatics, puzzle solving, statistics sampling methods among others. For instance, researchers may use permutations during analysis involving chromatin state segmentation models mentioned earlier since these involve exploring multiple configurations based upon genomic sequences [^2].
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