#include <stdio.h>
#include <string.h>

#define MAXL  100
#define MAXS  15

char nums[MAXS+2][MAXL];

int inventory (const char* src, char* dst)
{
    char ch;
    const char* p;
    for ( ch = '0';  ch <= '9';  ++ch )
	if ( strchr (src, ch) )
	{
	    int cnt = 0;
	    for ( p = src;  *p != '\0';  ++p )
		if ( *p == ch )  ++cnt;
    	    dst += sprintf (dst, "%d%c", cnt, ch);
	}
    return 0;
}

int main (void)
{
    int i, j, ii, jj;
    for ( ; ; )
    {
	scanf ("%s", nums[0]);
	if ( nums[0][0] == '-' )  break;
	ii = jj = -1;
	for ( i = 1;  i <= MAXS && ii < 0;  ++i )
	{
	    inventory (nums[i-1], nums[i]);
	    for ( j = 0;  j < i;  ++j )
		if ( strcmp (nums[i], nums[j]) == 0 )
		    { ii = i; jj = j; break; }
	}
	printf ("%s ", nums[0]);
	if ( jj == 0 && ii == 1 )
	    printf ("is self-inventorying\n");
	else if ( jj+1 == ii )
	    printf ("becomes self-inventorying after %d steps\n", jj);
	else if ( ii >= 0 )
	    printf ("enters an inventory loop of length %d\n", ii-jj);
	else
	    printf ("can not be classified after %d iterations\n", MAXS);
    }
    return 0;
}