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Artifact cd08fa40861c2ec8bb428a49360d76ce7fd48556


#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 RepresentableNumbers { public:
	int getNext(int X) 
	{
		for(;; ++X) {
			string s;
			{stringstream sio; sio<<X; sio>>s;}
			memo.clear();
			memo.resize(200, -1);
			if( rec(s, 0, false, false) )
				return X;
			if( s[0]=='1' ) {
				if( rec(s, 1, false, true) )
					return X;
			}
		}
		assert(false);
	}

	vector<int> memo;
	bool rec(const string& s, int i, bool mustUseBoth, bool needCarry)
	{
		if( i == (int)s.size() )
			return !needCarry;
		if( i+1 == (int)s.size() )
			mustUseBoth = true;

		int key = (i*2+mustUseBoth)*2+needCarry;
		if( memo[key]>=0 )
			return memo[key];
		int t = (s[i]-'0') + (needCarry ? 10 : 0);

		if( !mustUseBoth && (t==1 || t==3 || t==5 || t==7 || t==9) )
			if( rec(s, i+1, false, false) )
				return memo[key]=true;
		if( !mustUseBoth && (t==2 || t==4 || t==6 || t==8 || t==10) )
			if( rec(s, i+1, false, true) )
				return memo[key]=true;
		if( t<=1 )
			return memo[key]=false;
		if( t%2==0 )
			return memo[key]=rec(s, i+1, true, false);
		else
			return memo[key]=rec(s, i+1, true, true);
	}
};

// 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(_, RepresentableNumbers().getNext(X));}
int main(){

CASE(0)
	int X = 1; 
	int _ = 2; 
END
CASE(1)
	int X = 999; 
	int _ = 1000; 
END
CASE(2)
	int X = 2000; 
	int _ = 2000; 
END
CASE(3)
	int X = 4201234; 
	int _ = 4222222; 
END
CASE(4)
	int X = 10101010; 
	int _ = 10102222; 
END
CASE(5)
	int X = 2; 
	int _ = 2; 
END
CASE(5)
	int X = 3; 
	int _ = 4; 
END
CASE(5)
	int X = 4; 
	int _ = 4; 
END
CASE(5)
	int X = 5; 
	int _ = 6; 
END
CASE(5)
	int X = 6; 
	int _ = 6; 
END
CASE(5)
	int X = 20; 
	int _ = 20; 
END
CASE(6)
	int X = 100000000; 
	int _ = -1; 
END
CASE(6)
	int X =  42012345; 
	int _ = -1; 
END
CASE(6)
	int X =  21999999; 
	int _ = -1; 
END


}
// END CUT HERE