d948683958 2012-10-10        kinaba: #include <iostream>
d948683958 2012-10-10        kinaba: #include <sstream>
d948683958 2012-10-10        kinaba: #include <iomanip>
d948683958 2012-10-10        kinaba: #include <vector>
d948683958 2012-10-10        kinaba: #include <string>
d948683958 2012-10-10        kinaba: #include <map>
d948683958 2012-10-10        kinaba: #include <set>
d948683958 2012-10-10        kinaba: #include <algorithm>
d948683958 2012-10-10        kinaba: #include <numeric>
d948683958 2012-10-10        kinaba: #include <iterator>
d948683958 2012-10-10        kinaba: #include <functional>
d948683958 2012-10-10        kinaba: #include <complex>
d948683958 2012-10-10        kinaba: #include <queue>
d948683958 2012-10-10        kinaba: #include <stack>
d948683958 2012-10-10        kinaba: #include <cmath>
d948683958 2012-10-10        kinaba: #include <cassert>
d948683958 2012-10-10        kinaba: using namespace std;
d948683958 2012-10-10        kinaba: typedef long long LL;
d948683958 2012-10-10        kinaba: typedef long double LD;
d948683958 2012-10-10        kinaba: typedef complex<LD> CMP;
d948683958 2012-10-10        kinaba: 
d948683958 2012-10-10        kinaba: class LeftRightDigitsGame2 { public:
d948683958 2012-10-10        kinaba: 	string minNumber(string digits, string lowerBound)
d948683958 2012-10-10        kinaba: 	{
d948683958 2012-10-10        kinaba: 		return rec(digits, lowerBound);
d948683958 2012-10-10        kinaba: 	}
d948683958 2012-10-10        kinaba: 
d948683958 2012-10-10        kinaba: 	map<string, string> memo;
d948683958 2012-10-10        kinaba: 	string rec(const string& digits, const string& lwb)
d948683958 2012-10-10        kinaba: 	{
d948683958 2012-10-10        kinaba: 		if(lwb.size() == 0)
d948683958 2012-10-10        kinaba: 			return lwb;
d948683958 2012-10-10        kinaba: 		if(memo.count(lwb))
d948683958 2012-10-10        kinaba: 			return memo[lwb];
d948683958 2012-10-10        kinaba: 
d948683958 2012-10-10        kinaba: 		string best = (digits.substr(0,lwb.size())>=lwb ? digits.substr(0,lwb.size()) : "");
d948683958 2012-10-10        kinaba: 		string minSoFar = string(1, digits[0]);
d948683958 2012-10-10        kinaba: 		for(int t=1; t<lwb.size(); ++t) {
d948683958 2012-10-10        kinaba: 			if( digits[t] < lwb[0] )
d948683958 2012-10-10        kinaba: 			{
d948683958 2012-10-10        kinaba: 			}
d948683958 2012-10-10        kinaba: 			else if( digits[t] == lwb[0] )
d948683958 2012-10-10        kinaba: 			{
d948683958 2012-10-10        kinaba: 				string tail = digits.substr(t+1, lwb.size()-(t+1));
d948683958 2012-10-10        kinaba: 
d948683958 2012-10-10        kinaba: 				string target = lwb.substr(1, t);
d948683958 2012-10-10        kinaba: 				bool needOneMore = (lwb.substr(t+1) > tail);
d948683958 2012-10-10        kinaba: 				if(!needOneMore || incr(target)) {
d948683958 2012-10-10        kinaba: 					string m = minNumber(digits, target);
d948683958 2012-10-10        kinaba: 					if( m.size() == target.size() ) {
d948683958 2012-10-10        kinaba: 						string cand = digits[t] + m + tail;
d948683958 2012-10-10        kinaba: 						if( lwb<=cand && (best.empty() || best > cand) )
d948683958 2012-10-10        kinaba: 							best = cand;
d948683958 2012-10-10        kinaba: 					}
d948683958 2012-10-10        kinaba: 				}
d948683958 2012-10-10        kinaba: 			}
d948683958 2012-10-10        kinaba: 			else
d948683958 2012-10-10        kinaba: 			{
d948683958 2012-10-10        kinaba: 				string cand = digits[t] + minSoFar + digits.substr(t+1, lwb.size()-(t+1));
d948683958 2012-10-10        kinaba: 				if( best.empty() || best > cand )
d948683958 2012-10-10        kinaba: 					best = cand;
d948683958 2012-10-10        kinaba: 			}
d948683958 2012-10-10        kinaba: 
d948683958 2012-10-10        kinaba: 			minSoFar = min(minSoFar+digits[t], digits[t]+minSoFar);
d948683958 2012-10-10        kinaba: 		}
d948683958 2012-10-10        kinaba: 		return memo[lwb] = best;
d948683958 2012-10-10        kinaba: 	}
d948683958 2012-10-10        kinaba: 
d948683958 2012-10-10        kinaba: 	bool incr(string& s)
d948683958 2012-10-10        kinaba: 	{
d948683958 2012-10-10        kinaba: 		for(int i=s.size()-1 ;; --i)
d948683958 2012-10-10        kinaba: 		{
d948683958 2012-10-10        kinaba: 			if(i==-1)
d948683958 2012-10-10        kinaba: 				return false;
d948683958 2012-10-10        kinaba: 			if(s[i]<'9') {
d948683958 2012-10-10        kinaba: 				s[i]++;
d948683958 2012-10-10        kinaba: 				break;
d948683958 2012-10-10        kinaba: 			}
d948683958 2012-10-10        kinaba: 			s[i]='0';
d948683958 2012-10-10        kinaba: 		}
d948683958 2012-10-10        kinaba: 		return true;
d948683958 2012-10-10        kinaba: 	}
d948683958 2012-10-10        kinaba: };
d948683958 2012-10-10        kinaba: 
d948683958 2012-10-10        kinaba: // BEGIN CUT HERE
d948683958 2012-10-10        kinaba: #include <ctime>
d948683958 2012-10-10        kinaba: double start_time; string timer()
d948683958 2012-10-10        kinaba:  { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
d948683958 2012-10-10        kinaba: template<typename T> ostream& operator<<(ostream& os, const vector<T>& v)
d948683958 2012-10-10        kinaba:  { os << "{ ";
d948683958 2012-10-10        kinaba:    for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it)
d948683958 2012-10-10        kinaba:    os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; }
d948683958 2012-10-10        kinaba: void verify_case(const string& Expected, const string& Received) {
d948683958 2012-10-10        kinaba:  bool ok = (Expected == Received);
d948683958 2012-10-10        kinaba:  if(ok) cerr << "PASSED" << timer() << endl;  else { cerr << "FAILED" << timer() << endl;
d948683958 2012-10-10        kinaba:  cerr << "\to: \"" << Expected << '\"' << endl << "\tx: \"" << Received << '\"' << endl; } }
d948683958 2012-10-10        kinaba: #define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock();
d948683958 2012-10-10        kinaba: #define END	 verify_case(_, LeftRightDigitsGame2().minNumber(digits, lowerBound));}
d948683958 2012-10-10        kinaba: int main(){
d948683958 2012-10-10        kinaba: 
d948683958 2012-10-10        kinaba: CASE(0)
d948683958 2012-10-10        kinaba: 	string digits = "565";
d948683958 2012-10-10        kinaba: 	string lowerBound = "556";
d948683958 2012-10-10        kinaba: 	string _ = "556";
d948683958 2012-10-10        kinaba: END
d948683958 2012-10-10        kinaba: CASE(1)
d948683958 2012-10-10        kinaba: 	string digits = "565";
d948683958 2012-10-10        kinaba: 	string lowerBound = "566";
d948683958 2012-10-10        kinaba: 	string _ = "655";
d948683958 2012-10-10        kinaba: END
d948683958 2012-10-10        kinaba: CASE(2)
d948683958 2012-10-10        kinaba: 	string digits = "565";
d948683958 2012-10-10        kinaba: 	string lowerBound = "656";
d948683958 2012-10-10        kinaba: 	string _ = "";
d948683958 2012-10-10        kinaba: END
d948683958 2012-10-10        kinaba: CASE(3)
d948683958 2012-10-10        kinaba: 	string digits = "9876543210";
d948683958 2012-10-10        kinaba: 	string lowerBound = "5565565565";
d948683958 2012-10-10        kinaba: 	string _ = "5678943210";
d948683958 2012-10-10        kinaba: END
d948683958 2012-10-10        kinaba: CASE(4)
d948683958 2012-10-10        kinaba: 	string digits = "8016352";
d948683958 2012-10-10        kinaba: 	string lowerBound = "1000000";
d948683958 2012-10-10        kinaba: 	string _ = "1086352";
d948683958 2012-10-10        kinaba: END
d948683958 2012-10-10        kinaba: CASE(5)
d948683958 2012-10-10        kinaba: 	string digits = "93907757041066207580227527897335194812859183833602";
d948683958 2012-10-10        kinaba: 	string lowerBound = "12089579919698667599337853067564506011831210501927";
d948683958 2012-10-10        kinaba: 	string _ = "";
d948683958 2012-10-10        kinaba: END
d948683958 2012-10-10        kinaba: CASE(6)
d948683958 2012-10-10        kinaba: 	string digits = "1";
d948683958 2012-10-10        kinaba: 	string lowerBound = "2";
d948683958 2012-10-10        kinaba: 	string _ = "";
d948683958 2012-10-10        kinaba: END
d948683958 2012-10-10        kinaba: CASE(6)
d948683958 2012-10-10        kinaba: 	string digits = "2";
d948683958 2012-10-10        kinaba: 	string lowerBound = "2";
d948683958 2012-10-10        kinaba: 	string _ = "2";
d948683958 2012-10-10        kinaba: END
d948683958 2012-10-10        kinaba: CASE(6)
d948683958 2012-10-10        kinaba: 	string digits = "3";
d948683958 2012-10-10        kinaba: 	string lowerBound = "2";
d948683958 2012-10-10        kinaba: 	string _ = "3";
d948683958 2012-10-10        kinaba: END
d948683958 2012-10-10        kinaba: CASE(6)
d948683958 2012-10-10        kinaba: 	string digits = "55555555555555555555555555555555555555555555555555";
d948683958 2012-10-10        kinaba: 	string lowerBound = "55555555555555555555555555555555555555555555555555";
d948683958 2012-10-10        kinaba: 	string _ = "55555555555555555555555555555555555555555555555555";
d948683958 2012-10-10        kinaba: END
d948683958 2012-10-10        kinaba: }
d948683958 2012-10-10        kinaba: // END CUT HERE