permutations of string Algorithm
While trivial superpermutations can simply be made up of every permutation listed together, superpermutations can also be shorter (except for the trivial case of N = 1) because overlap is allowed. However, for N = 5, there are several smallest superpermutations have the length 153.
//
// C program to print all permutations with repetition
// of characters
//
// The All ▲lgorithms Project
//
// https://allalgorithms.com/strings
// https://github.com/allalgorithms/cpp
//
// Contributed by: Tushar Kanakagiri
// Github: @tusharkanakagiri
//
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
/* Following function is used by the library qsort() function
to sort an array of chars */
int compare(const void *a, const void *b);
/* The main function that recursively prints all repeated
permutations of the given string. It uses data[] to store all
permutations one by one */
void allLexicographicRecur(char *str, char *data, int last, int index)
{
int i, len = strlen(str);
// One by one fix all characters at the given index and recur for
// the/ subsequent indexes
for (i = 0; i < len; i++)
{
// Fix the ith character at index and if this is not the last
// index then recursively call for higher indexes
data[index] = str[i];
// If this is the last index then print the string stored in
// data[]
if (index == last)
printf("%s\n", data);
else // Recur for higher indexes
allLexicographicRecur(str, data, last, index + 1);
}
}
/* This function sorts input string, allocate memory for data (needed
for allLexicographicRecur()) and calls allLexicographicRecur() for
printing all permutations */
void allLexicographic(char *str)
{
int len = strlen(str);
// Create a temp array that will be used by allLexicographicRecur()
char *data = (char *)malloc(sizeof(char) * (len + 1));
data[len] = '\0';
// Sort the input string so that we get all output strings in
// lexicographically sorted order
qsort(str, len, sizeof(char), compare);
// Now print all permutaions
allLexicographicRecur(str, data, len - 1, 0);
// Free data to avoid memory leak
free(data);
}
// Needed for library function qsort()
int compare(const void *a, const void *b)
{
return (*(char *)a - *(char *)b);
}
// Driver program to test above functions
int main()
{
char str[] = ""; //Enter character array
printf("All permutations with repetition of %s are: \n",
str);
allLexicographic(str);
return 0;
}