#include <iostream>
#include <string>
#include <map>
#include <sstream>

using namespace std;

string inventory(string n) {
	map<char,int> counts;
	for (size_t i=0; i<n.length(); ++i) {
		counts[n[i]]++;
	}
	ostringstream out;
	for (map<char,int>::iterator i = counts.begin(); i != counts.end(); ++i) {
		if (i->second > 0)
			out << i->second << i->first;
	}
	return out.str();
}

void doit(string n) {
	string x = n;
	//cout << n << endl;
	map<string,int> encountered;
	encountered[n] = 0;
	for (int i=0; i<15; ++i) {
		string inv = inventory(x);
		//cout << " " << inv << endl;
		if (inv == x) {
			if (i == 0)
				cout << n << " is self-inventorying" << endl;
			else
				cout << n << " becomes self-inventorying "
					<< "after " << i << " steps" << endl;
			return;
		}
		map<string,int>::iterator it = encountered.find(inv);
		if (it != encountered.end()) {
			cout << n << " enters an inventory loop of length "
				<< i - it->second + 1 << endl;
			return;
		}
		encountered[inv] = i+1;
		x = inv;
	}
	cout << n << " cannot be classified after 15 iterations" << endl;
}

int main() {
	string n;
	while (true) {
		cin >> n;
		if (n == "-1")
			break;
		doit(n);
	}
	return 0;
}