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Artifact 13f8fe20f39799a28232a433023ea7dbf97a333f


#include <iostream>
#include <sstream>
#include <iomanip>
#include <vector>
#include <string>
#include <map>
#include <set>
#include <algorithm>
#include <numeric>
#include <iterator>
#include <functional>
#include <complex>
#include <queue>
#include <stack>
#include <cmath>
#include <cassert>
#include <cstring>
using namespace std;
typedef long long LL;
typedef complex<double> CMP;

class AmoebaCode { public:
	// ���C�����[�`��
	int find(string code, int K) 
	{
		int answer = 1;
		for(int D=2; D<=K; ++D)
			if( can(code, K, 0, string(D-1,'X')) ) // �ŏ������� D �ȏ�ɂȂ�悤�ɂł���H
				answer = max(answer, D);
		return answer; // �ł���悤�� D �̍ő�l��Ԃ�
	}

	// �ucode[i..$) �� 1 �` K �𖄂߂��邩�H�v���ċA�I�ɔ���
	// prev �ɂ� code[i] �̒��O D-1 ���������ČĂяo���B
	// ���� D-1 �����͔����Ȃ��ƍŏ����� D �ȏ�ɂȂ�Ȃ��̂Ŕ����܂��傤
	map<pair<size_t,string>, bool> memo;
	bool can(const string& code, const int K, size_t i, const string& prev)
	{
		if( i == code.size() )
			return true; // �Ō�܂Ŗ��܂����BOK!

		pair<int,string> key(i, prev);
		if( memo.count(key) )
			return memo[key]; // �������B���łɌ��������Ȃ�o���Ă錋�ʂ�Ԃ�

		// code[i] �ɓ���镶���̌����
		vector<char> cand;
		if( code[i] == '0' ) // '0' �Ȃ� 1 ���� K �̂ǂ�ɒu�������Ă�����
			for(int k=1; k<=K; ++k)
				cand.push_back( char('0'+k) );
		else // ����ȊO�Ȃ�u���������Ȃ�
			cand.push_back( code[i] );

		bool ok = false;
		for(int k=0; k<cand.size(); ++k) // ����S�������Ă݂�
			if( count(prev.begin(), prev.end(), cand[k])    // prev �������
			 && can(code, K, i+1, prev.substr(1)+cand[k]) ) // code[i+1..$) ���S�����߂����OK
				ok |= true;

		return memo[key] = ok; // �������̕\�ɋL�����‚� return
	}
};

// BEGIN CUT HERE
#include <ctime>
double start_time; string timer()
 { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
template<typename T> ostream& operator<<(ostream& os, const vector<T>& v)
 { os << "{ ";
   for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it)
   os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; }
void verify_case(const int& Expected, const int& Received) {
 bool ok = (Expected == Received);
 if(ok) cerr << "PASSED" << timer() << endl;  else { cerr << "FAILED" << timer() << endl;
 cerr << "\to: \"" << Expected << '\"' << endl << "\tx: \"" << Received << '\"' << endl; } }
#define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock();
#define END	 verify_case(_, AmoebaCode().find(code, K));}
int main(){

CASE(0)
	string code = "01"; 
	int K = 1; 
	int _ = 1; 
END
CASE(1)
	string code = "1001"; 
	int K = 2; 
	int _ = 1; 
END
CASE(2)
	string code = "1010"; 
	int K = 2; 
	int _ = 2; 
END
CASE(3)
	string code = "01001"; 
	int K = 3; 
	int _ = 3; 
END
CASE(4)
	string code = "10012031001"; 
	int K = 3; 
	int _ = 2; 
END
CASE(5)
	string code = "00000000000000000000000000000000000000000000000000"; 
	int K = 7; 
	int _ = -1; 
END
/*
CASE(6)
	string code = ; 
	int K = ; 
	int _ = ; 
END
*/
}
// END CUT HERE