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 RemovingDigits { public:
4fd800b3a8 2011-02-23        kinaba: 	string maxNumber(string number, string digits)
4fd800b3a8 2011-02-23        kinaba: 	{
4fd800b3a8 2011-02-23        kinaba: 		vector<int> d(9);
4fd800b3a8 2011-02-23        kinaba: 		for(int i=0; i<digits.size(); ++i)
4fd800b3a8 2011-02-23        kinaba: 			d[digits[i]-'1'] ++;
4fd800b3a8 2011-02-23        kinaba: 		vector<int> n(9);
4fd800b3a8 2011-02-23        kinaba: 		for(int i=0; i<number.size(); ++i)
4fd800b3a8 2011-02-23        kinaba: 			n[number[i]-'1'] ++;
4fd800b3a8 2011-02-23        kinaba: 		return maximize(number, 0, n, d);
4fd800b3a8 2011-02-23        kinaba: 	}
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 	map<pair< int, vector<int> >, string> memo;
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 	string maximize(const string& number, int s, vector<int>& n, vector<int>& d)
4fd800b3a8 2011-02-23        kinaba: 	{
4fd800b3a8 2011-02-23        kinaba: 		if( s == number.size() )
4fd800b3a8 2011-02-23        kinaba: 			return "";
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 		pair< int, vector<int> > key(s, d);
4fd800b3a8 2011-02-23        kinaba: 		if( memo.count(key) )
4fd800b3a8 2011-02-23        kinaba: 			return memo[key];
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 		char ch = number[s]-'1';
4fd800b3a8 2011-02-23        kinaba: 		string cand = "";
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 		n[ch]--;
4fd800b3a8 2011-02-23        kinaba: 		if( n[ch] >= d[ch] )
4fd800b3a8 2011-02-23        kinaba: 		{
4fd800b3a8 2011-02-23        kinaba: 			string c1 = number[s] + maximize(number, s+1, n, d);
4fd800b3a8 2011-02-23        kinaba: 			cand = max(cand, c1);
4fd800b3a8 2011-02-23        kinaba: 		}
4fd800b3a8 2011-02-23        kinaba: 		if( d[ch] > 0 )
4fd800b3a8 2011-02-23        kinaba: 		{
4fd800b3a8 2011-02-23        kinaba: 			d[ch]--;
4fd800b3a8 2011-02-23        kinaba: 			string c2 = maximize(number, s+1, n, d);
4fd800b3a8 2011-02-23        kinaba: 			cand = max(cand, c2);
4fd800b3a8 2011-02-23        kinaba: 			d[ch]++;
4fd800b3a8 2011-02-23        kinaba: 		}
4fd800b3a8 2011-02-23        kinaba: 		n[ch]++;
4fd800b3a8 2011-02-23        kinaba: 		return memo[key] = cand;
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(_, RemovingDigits().maxNumber(number, digits));}
4fd800b3a8 2011-02-23        kinaba: int main(){
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: CASE(0)
4fd800b3a8 2011-02-23        kinaba: 	string number = "12345";
4fd800b3a8 2011-02-23        kinaba: 	string digits = "513";
4fd800b3a8 2011-02-23        kinaba: 	string _ = "24";
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(1)
4fd800b3a8 2011-02-23        kinaba: 	string number = "112352";
4fd800b3a8 2011-02-23        kinaba: 	string digits = "1123";
4fd800b3a8 2011-02-23        kinaba: 	string _ = "52";
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(2)
4fd800b3a8 2011-02-23        kinaba: 	string number = "123456654321";
4fd800b3a8 2011-02-23        kinaba: 	string digits = "612534";
4fd800b3a8 2011-02-23        kinaba: 	string _ = "654321";
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(3)
4fd800b3a8 2011-02-23        kinaba: 	string number = "654321123456";
4fd800b3a8 2011-02-23        kinaba: 	string digits = "612534";
4fd800b3a8 2011-02-23        kinaba: 	string _ = "654321";
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(4)
4fd800b3a8 2011-02-23        kinaba: 	string number = "2654982765982365";
4fd800b3a8 2011-02-23        kinaba: 	string digits = "2345978";
4fd800b3a8 2011-02-23        kinaba: 	string _ = "698265265";
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: /*
4fd800b3a8 2011-02-23        kinaba: CASE(5)
4fd800b3a8 2011-02-23        kinaba: 	string number = ;
4fd800b3a8 2011-02-23        kinaba: 	string digits = ;
4fd800b3a8 2011-02-23        kinaba: 	string _ = ;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(6)
4fd800b3a8 2011-02-23        kinaba: 	string number = ;
4fd800b3a8 2011-02-23        kinaba: 	string digits = ;
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