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C/C++ Program for Print all permutations in sorted (lexicographic) order.
program solution
// Program to print all permutations of a string in sorted order.
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
/* Following function is needed for library function qsort(). */
int compare (const void *a, const void * b)
{
return ( *(char *)a - *(char *)b );
}
// A utility function two swap two characters a and b
void swap (char* a, char* b)
{
char t = *a;
*a = *b;
*b = t;
}
/* This function finds the index of the smallest character which is greater than 'first' and is present in str[l..h] */
int findCeil (char str[], char first, int l, int h)
{
// initialize index of ceiling element
int ceilIndex = l;
/* Now iterate through rest of the elements and find the smallest character greater than 'first' */
for (int i = l+1; i <= h; i++)
if (str[i] > first && str[i] < str[ceilIndex])
ceilIndex = i;
return ceilIndex;
}
// Print all permutations of str in sorted order
void sortedPermutations ( char str[] )
{
// Get size of string
int size = strlen(str);
// Sort the string in increasing order
qsort( str, size, sizeof( str[0] ), compare );
// Print permutations one by one
bool isFinished = false;
while ( ! isFinished )
{
// print this permutation
printf ("%s \n", str);
// Find the rightmost character which is smaller than its next character. Let us call it 'first char'
int i;
for ( i = size - 2; i >= 0; --i )
if (str[i] < str[i+1])
break;
/* If there is no such character, all are sorted in decreasing order, means we just printed the last permutation and we are done. */
if ( i == -1 )
isFinished = true;
else
{
/* Find the ceil of 'first char' in right of first character. Ceil of a character is the smallest character greater than it */
int ceilIndex = findCeil( str, str[i], i + 1, size - 1 );
// Swap first and second characters
swap( &str[i], &str[ceilIndex] );
// Sort the string on right of 'first char'
qsort( str + i + 1, size - i - 1, sizeof(str[0]), compare );
}
}
}
// Driver program to test above function
int main()
{
char str[] = "ABCD";
sortedPermutations( str );
return 0;
}
Output
ABCD
ABDC
....
....
DCAB
DCBA