#include <vector>
#include <string>
using namespace std;

struct BinaryCode
{
	vector<string> decode( string message )
	{
		vector<string> ans;
		ans.push_back( decode(0, message) );
		ans.push_back( decode(1, message) );
		return ans;
	}

	string decode(int c, string Q)
	{
		string P; P += char('0'+c);
		for(int i=0; i<Q.size()-1; ++i)
			if( '0' <= Q[i]-c && Q[i]-c<='1' )
				P += char(Q[i]-c),
				c = P[P.size()-2]-'0' + P[P.size()-1]-'0';
			else
				return "NONE";
		return c==Q[Q.size()-1]-'0' ? P : "NONE";
	}
};
