#include < iostream >
using namespace std;
int main ()
{
	char chArr [83];
	int lenth , i , k , nInvAlen(0);
	while ( cin >> chArr )
	{
		int nArr[83] , Pre[16][83] , Prelen[16];
		int nInvArr[83] , sta[10];
		if ( chArr[0] == '-' ){ break; }
		 lenth = strlen( chArr );
		 Prelen [0] = lenth;
		 for ( i = 0;i < lenth;i++ )
		 {
			nArr[i] = ( chArr[i] - 48 );
			Pre[0][i] = nArr[i];
		 }
		 for ( k = 1;k <= 15;k++ )
		 {
			 for ( i = 0; i < 10;i++ )
			 { sta[i] = 0; }
			 if ( k == 1 )
			 {
				for ( i = 0;i < lenth;i++ )
				{ sta[ nArr[i] ]++; }
			 }
			 else 
			 {
					for ( i = 0;i < nInvAlen;i++ )
					{ sta[ nInvArr[i] ]++; }
			 }
			 int j = 0;
			 for ( i = 0 , j = 0;i < 10;i++ )
			 {
				 if ( 0 < sta[i]&&sta[i] < 10 )
				 {
					 nInvArr[j] = sta[i]; 
					 j++;
					 nInvArr[j] = i; 
					 j++;
				 }
				 else if ( 10 <= sta[i] )
				 {
					 nInvArr[j] = sta[i] / 10;
					 j++;
					 nInvArr[j] = sta[i] % 10;
					 j++;
					 nInvArr[j] = i;
					 j++;
				 }
			 }
				Prelen[k] = nInvAlen = j;
				for ( i = 0; i <nInvAlen;i++ )
				{ Pre[k][i] = nInvArr[i]; }
				bool flag(1);
				int m = ( Prelen[k-1] < nInvAlen ) ? nInvAlen: Prelen[k-1];
				 for ( i = 0;i < m;i++ )
				 {
					 if ( Pre[k-1][i] != nInvArr[i]  ){ flag = 0;break; }
				 }
			 
				if ( flag && k == 1 )
				{
					for ( i = 0;i < lenth;i++ )
					{ cout << nArr[i]; }
					cout <<" is self-inventorying"<<endl;
					goto loop;
				}
				if ( flag && k > 1 )
				{  
					for ( i = 0;i < lenth;i++ )
					{ cout << nArr[i]; }
					cout <<" is self-inventorying after "<<k-1<<" steps"<<endl;
					goto loop;
				}
				
				for( j = 0;j < k - 1;j++ )
				{
					flag = 1;
					m = ( Prelen[j] < nInvAlen ) ? nInvAlen : Prelen[j]; 
					for ( i = 0;i < m;i++ )
					{
					 if ( Pre[j][i] != nInvArr[i]  ){ flag = 0;break; }
					}
					if ( flag )
					{
						for ( i = 0;i < lenth;i++ )
						{ cout << nArr[i]; }
						cout <<" enters an inventory loop of length "<<(k-j)<<endl;
						goto loop;
					}
				}
				
		 }
			for ( i = 0;i < lenth;i++ )
			{ cout << nArr[i]; }
			cout <<" can not be classified after 15 iterations"<<endl;
loop:;
	}
	return 0;
}