#include <iostream>
#include <cstring>
using namespace std;

int main()
{
	int nStatistic[10]={0,0},m=0,self=0,nLoop=0,nStep=0;
	char cLineStart[81],cLine[15][30],cTemp[30];
	while (1)
	{
		cin>>cLineStart;
		if (cLineStart[0]=='-') break;

		for (int s=0;s<strlen(cLineStart);s++)
			nStatistic[cLineStart[s]-'0']++;
	
		for (int i=0;i<15;i++)
		{
			for (int k=0;k<10;k++)
			{
				if (nStatistic[k]==0) continue;
				else if (nStatistic[k]/10==0)
				{
					cTemp[m]=nStatistic[k]+'0';
					cTemp[m+1]=k+'0';
					m+=2;
				}
				else 
				{
					cTemp[m]=(nStatistic[k]/10)+'0';
					cTemp[m+1]=(nStatistic[k]%10)+'0';
					cTemp[m+2]=k+'0';
					m+=3;
				}
			}

			cTemp[m]='\0';
			strcpy(cLine[i],cTemp);
			m=0;

			for (int e=0;e<10;e++)
				nStatistic[e]=0;

			for (int s=0;s<strlen(cTemp);s++)
				nStatistic[cTemp[s]-'0']++;

			if (strcmp(cTemp,cLineStart)==0)
			{nStep=nLoop=i+1;self=1;goto Loop;}

			else
			{
				for (int j=0;j<i;j++)
					if (strcmp(cTemp,cLine[j])==0)
					{
						nStep=i+1;
						nLoop=i-j;
						goto Loop;
					}
			}
		}
		cout<<cLineStart<<" can not be classified after 15 iterations "<<endl;
Loop:
		if (self)
		{
			if (nStep==1)
				cout<<cLineStart<<" is self-inventorying "<<endl;
			else 
				cout<<cLineStart<<" enters an inventory loop of length "<<nLoop<<endl;
		}
		else if (nLoop==1)
			cout<<cLineStart<<" is self-inventorying after "<<nStep-1<<" steps "<<endl;
		else 
			cout<<cLineStart<<" enters an inventory loop of length "<<nLoop<<endl;

		nStep=nLoop=self=0;
		for (int e=0;e<10;e++)
			nStatistic[e]=0;
	}
	return 0;
}