C Program to Implement Alexander Bogomolny’s UnOrdered Permutation Algorithm

This C program implements Alexander Bogomolyn’s unordered permutation algorithm to find all permutations of numbers from 1 to n.

Here is the source code of the C program to display all possible permutations of numbers from 1 to n using Alexander Bogomolyn’s unordered permutation algorithm. The C program is successfully compiled and run on a Linux system. The program output is also shown below.

```
/*
```

 * C program to implement Alexander Bogomolyn's unordered permutation algorithm

 * to find all permutations of numbers from 1 to n

```
 */
```
```
#include <stdio.h>
```
```
 
```

/*  Function to print all the permutations  */

void print(const int *v, const int size)

```
{
```
```
    int i;
```
```
    if (v != 0) {
```
```
	for (i = 0; i < size; i++) {
```
```
	    printf("%4d", v[i] );
```
```
	}
```
```
	printf("\n");
```
```
    }
```
```
} 
```
```
/*  End of print()  */
```
```
 
```

/* Function to generate permutations  */

```
void visit(int *Value, int N, int k)
```
```
{
```
```
    static level = -1;
```
```
    int i;
```
```
    level = level+1; Value[k] = level;
```
```
 
```
```
    if (level == N)
```
```
        print(Value, N);
```
```
    else
```
```
        for (i = 0; i < N; i++)
```
```
            if (Value[i] == 0)
```
```
                visit(Value, N, i);
```
```
    level = level-1; Value[k] = 0;
```
```
}
```
```
/*  End of visit()  */
```
```
 
```
```
/*  The main() begins  */
```
```
int main()
```
```
{
```
```
    int Value[20], i, N;
```
```
    printf("Enter the value of N: ");
```
```
    scanf("%d", &N);
```
```
    for (i = 0; i < N; i++) {
```
```
        Value[i] = 0;
```
```
    }
```
```
    visit(Value, N, 0);
```
```
}
```

$ gcc permute_alex.c
$ a.out
Enter the value of N: 3
   1   2   3
   1   3   2
   2   1   3
   3   1   2
   2   3   1
   3   2   1

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