4fd800b3a8 2011-02-23        kinaba: #include <iostream>
4fd800b3a8 2011-02-23        kinaba: #include <sstream>
4fd800b3a8 2011-02-23        kinaba: #include <iomanip>
4fd800b3a8 2011-02-23        kinaba: #include <vector>
4fd800b3a8 2011-02-23        kinaba: #include <string>
4fd800b3a8 2011-02-23        kinaba: #include <map>
4fd800b3a8 2011-02-23        kinaba: #include <set>
4fd800b3a8 2011-02-23        kinaba: #include <algorithm>
4fd800b3a8 2011-02-23        kinaba: #include <numeric>
4fd800b3a8 2011-02-23        kinaba: #include <iterator>
4fd800b3a8 2011-02-23        kinaba: #include <functional>
4fd800b3a8 2011-02-23        kinaba: #include <complex>
4fd800b3a8 2011-02-23        kinaba: #include <queue>
4fd800b3a8 2011-02-23        kinaba: #include <stack>
4fd800b3a8 2011-02-23        kinaba: #include <cmath>
4fd800b3a8 2011-02-23        kinaba: #include <cassert>
4fd800b3a8 2011-02-23        kinaba: #include <cstring>
4fd800b3a8 2011-02-23        kinaba: using namespace std;
4fd800b3a8 2011-02-23        kinaba: typedef long long LL;
4fd800b3a8 2011-02-23        kinaba: typedef complex<double> CMP;
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: class ColorfulStrings { public:
4fd800b3a8 2011-02-23        kinaba: 	string getKth(int n, int k)
4fd800b3a8 2011-02-23        kinaba: 	{
4fd800b3a8 2011-02-23        kinaba: 		// cannot have 11 distinct digits
4fd800b3a8 2011-02-23        kinaba: 		// if we have 0, then ...
4fd800b3a8 2011-02-23        kinaba: 		// if we have 1, then ...
4fd800b3a8 2011-02-23        kinaba: 		if(n>8)
4fd800b3a8 2011-02-23        kinaba: 			return "";
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 		string s = (n>=2 ? "23456789" : "0123456789");
4fd800b3a8 2011-02-23        kinaba: 		do {
4fd800b3a8 2011-02-23        kinaba: 			if( is_colorful(s,n) )
4fd800b3a8 2011-02-23        kinaba: 				if( --k == 0 )
4fd800b3a8 2011-02-23        kinaba: 					return s.substr(0,n);
4fd800b3a8 2011-02-23        kinaba: 		} while( next_perm(s, n>=2 ? 8-n : 10-n) );
4fd800b3a8 2011-02-23        kinaba: 		return "";
4fd800b3a8 2011-02-23        kinaba: 	}
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 	bool is_colorful(string& s, int n) {
4fd800b3a8 2011-02-23        kinaba: 		set<int> ps;
4fd800b3a8 2011-02-23        kinaba: 		for(int i=0; i<n; ++i) {
4fd800b3a8 2011-02-23        kinaba: 			int p = s[i]-'0';
4fd800b3a8 2011-02-23        kinaba: 			if( !ps.insert(p).second )
4fd800b3a8 2011-02-23        kinaba: 				return false;
4fd800b3a8 2011-02-23        kinaba: 			for(int j=i+1; j<n; ++j) {
4fd800b3a8 2011-02-23        kinaba: 				p *= s[j]-'0';
4fd800b3a8 2011-02-23        kinaba: 				if( !ps.insert(p).second )
4fd800b3a8 2011-02-23        kinaba: 					return false;
4fd800b3a8 2011-02-23        kinaba: 			}
4fd800b3a8 2011-02-23        kinaba: 		}
4fd800b3a8 2011-02-23        kinaba: 		return true;
4fd800b3a8 2011-02-23        kinaba: 	}
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 	int fact(int n) {
4fd800b3a8 2011-02-23        kinaba: 		return n ? n*fact(n-1) : 1;
4fd800b3a8 2011-02-23        kinaba: 	}
4fd800b3a8 2011-02-23        kinaba: 	bool next_perm(string& s, int nn) {
4fd800b3a8 2011-02-23        kinaba: 		int f = fact(nn);
4fd800b3a8 2011-02-23        kinaba: 		while(f--)
4fd800b3a8 2011-02-23        kinaba: 			if( !next_permutation(s.begin(), s.end()) )
4fd800b3a8 2011-02-23        kinaba: 				return false;
4fd800b3a8 2011-02-23        kinaba: 		return true;
4fd800b3a8 2011-02-23        kinaba: 	}
4fd800b3a8 2011-02-23        kinaba: };
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: // BEGIN CUT HERE
4fd800b3a8 2011-02-23        kinaba: #include <ctime>
4fd800b3a8 2011-02-23        kinaba: double start_time; string timer()
4fd800b3a8 2011-02-23        kinaba:  { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
4fd800b3a8 2011-02-23        kinaba: template<typename T> ostream& operator<<(ostream& os, const vector<T>& v)
4fd800b3a8 2011-02-23        kinaba:  { os << "{ ";
4fd800b3a8 2011-02-23        kinaba:    for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it)
4fd800b3a8 2011-02-23        kinaba:    os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; }
4fd800b3a8 2011-02-23        kinaba: void verify_case(const string& Expected, const string& Received) {
4fd800b3a8 2011-02-23        kinaba:  bool ok = (Expected == Received);
4fd800b3a8 2011-02-23        kinaba:  if(ok) cerr << "PASSED" << timer() << endl;  else { cerr << "FAILED" << timer() << endl;
4fd800b3a8 2011-02-23        kinaba:  cerr << "\to: \"" << Expected << '\"' << endl << "\tx: \"" << Received << '\"' << endl; } }
4fd800b3a8 2011-02-23        kinaba: #define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock();
4fd800b3a8 2011-02-23        kinaba: #define END	 verify_case(_, ColorfulStrings().getKth(n, k));}
4fd800b3a8 2011-02-23        kinaba: int main(){
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: CASE(0)
4fd800b3a8 2011-02-23        kinaba: 	int n = 3;
4fd800b3a8 2011-02-23        kinaba: 	int k = 4;
4fd800b3a8 2011-02-23        kinaba: 	string _ = "238";
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(1)
4fd800b3a8 2011-02-23        kinaba: 	int n = 4;
4fd800b3a8 2011-02-23        kinaba: 	int k = 2000;
4fd800b3a8 2011-02-23        kinaba: 	string _ = "";
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(2)
4fd800b3a8 2011-02-23        kinaba: 	int n = 5;
4fd800b3a8 2011-02-23        kinaba: 	int k = 1;
4fd800b3a8 2011-02-23        kinaba: 	string _ = "23457";
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(3)
4fd800b3a8 2011-02-23        kinaba: 	int n = 2;
4fd800b3a8 2011-02-23        kinaba: 	int k = 22;
4fd800b3a8 2011-02-23        kinaba: 	string _ = "52";
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(4)
4fd800b3a8 2011-02-23        kinaba: 	int n = 6;
4fd800b3a8 2011-02-23        kinaba: 	int k = 464;
4fd800b3a8 2011-02-23        kinaba: 	string _ = "257936";
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(5)
4fd800b3a8 2011-02-23        kinaba: 	int n = 1;
4fd800b3a8 2011-02-23        kinaba: 	int k = 1;
4fd800b3a8 2011-02-23        kinaba: 	string _ = "0";
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(6)
4fd800b3a8 2011-02-23        kinaba: 	int n = 50;
4fd800b3a8 2011-02-23        kinaba: 	int k = 1000000000;
4fd800b3a8 2011-02-23        kinaba: 	string _ = "???";
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(7)
4fd800b3a8 2011-02-23        kinaba: 	int n = 2;
4fd800b3a8 2011-02-23        kinaba: 	int k = 57;
4fd800b3a8 2011-02-23        kinaba: 	string _ = "???";
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: }
4fd800b3a8 2011-02-23        kinaba: // END CUT HERE