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16853a9ca7 2015-02-10        kinaba: #include <iostream>
16853a9ca7 2015-02-10        kinaba: #include <sstream>
16853a9ca7 2015-02-10        kinaba: #include <iomanip>
16853a9ca7 2015-02-10        kinaba: #include <vector>
16853a9ca7 2015-02-10        kinaba: #include <string>
16853a9ca7 2015-02-10        kinaba: #include <map>
16853a9ca7 2015-02-10        kinaba: #include <set>
16853a9ca7 2015-02-10        kinaba: #include <algorithm>
16853a9ca7 2015-02-10        kinaba: #include <numeric>
16853a9ca7 2015-02-10        kinaba: #include <iterator>
16853a9ca7 2015-02-10        kinaba: #include <functional>
16853a9ca7 2015-02-10        kinaba: #include <complex>
16853a9ca7 2015-02-10        kinaba: #include <queue>
16853a9ca7 2015-02-10        kinaba: #include <stack>
16853a9ca7 2015-02-10        kinaba: #include <cmath>
16853a9ca7 2015-02-10        kinaba: #include <cassert>
16853a9ca7 2015-02-10        kinaba: #include <tuple>
16853a9ca7 2015-02-10        kinaba: using namespace std;
16853a9ca7 2015-02-10        kinaba: typedef long long LL;
16853a9ca7 2015-02-10        kinaba: typedef complex<double> CMP;
16853a9ca7 2015-02-10        kinaba: 
16853a9ca7 2015-02-10        kinaba: static const char* BAD = "XXX";
16853a9ca7 2015-02-10        kinaba: 
16853a9ca7 2015-02-10        kinaba: class AB { public:
16853a9ca7 2015-02-10        kinaba: 	map<tuple<int,int,int>, string> memo;
16853a9ca7 2015-02-10        kinaba: 	string create(int N, int KPair, int NumB)
16853a9ca7 2015-02-10        kinaba: 	{
16853a9ca7 2015-02-10        kinaba: 		if(N==0)
16853a9ca7 2015-02-10        kinaba: 			return (KPair==0 && NumB==0 ? "" : BAD);
16853a9ca7 2015-02-10        kinaba: 
16853a9ca7 2015-02-10        kinaba: 		tuple<int,int,int> key(N, KPair, NumB);
16853a9ca7 2015-02-10        kinaba: 		if(memo.count(key))
16853a9ca7 2015-02-10        kinaba: 			return memo[key];
16853a9ca7 2015-02-10        kinaba: 
16853a9ca7 2015-02-10        kinaba: 		auto a = create(N-1, KPair-NumB, NumB);
16853a9ca7 2015-02-10        kinaba: 		if(a != BAD)
16853a9ca7 2015-02-10        kinaba: 			return memo[key] = "A" + a;
16853a9ca7 2015-02-10        kinaba: 		if(NumB>=1) {
16853a9ca7 2015-02-10        kinaba: 			auto b = create(N-1, KPair, NumB-1);
16853a9ca7 2015-02-10        kinaba: 			if(b != BAD)
16853a9ca7 2015-02-10        kinaba: 				return memo[key] = "B" + b;
16853a9ca7 2015-02-10        kinaba: 		}
16853a9ca7 2015-02-10        kinaba: 		return memo[key] = BAD;
16853a9ca7 2015-02-10        kinaba: 	}
16853a9ca7 2015-02-10        kinaba: 
16853a9ca7 2015-02-10        kinaba: 	string createString(int N, int K)
16853a9ca7 2015-02-10        kinaba: 	{
16853a9ca7 2015-02-10        kinaba: 		for(int NumB=0; NumB<=N; ++NumB) {
16853a9ca7 2015-02-10        kinaba: 			auto s = create(N, K, NumB);
16853a9ca7 2015-02-10        kinaba: 			if(s != BAD)
16853a9ca7 2015-02-10        kinaba: 				return s;
16853a9ca7 2015-02-10        kinaba: 		}
16853a9ca7 2015-02-10        kinaba: 		return "";
16853a9ca7 2015-02-10        kinaba: 	}
16853a9ca7 2015-02-10        kinaba: };
16853a9ca7 2015-02-10        kinaba: 
16853a9ca7 2015-02-10        kinaba: // BEGIN CUT HERE
16853a9ca7 2015-02-10        kinaba: #include <ctime>
16853a9ca7 2015-02-10        kinaba: double start_time; string timer()
16853a9ca7 2015-02-10        kinaba:  { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
16853a9ca7 2015-02-10        kinaba: template<typename T> ostream& operator<<(ostream& os, const vector<T>& v)
16853a9ca7 2015-02-10        kinaba:  { os << "{ ";
16853a9ca7 2015-02-10        kinaba:    for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it)
16853a9ca7 2015-02-10        kinaba:    os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; }
16853a9ca7 2015-02-10        kinaba: void verify_case(const string& Expected, const string& Received) {
16853a9ca7 2015-02-10        kinaba:  bool ok = (Expected == Received);
16853a9ca7 2015-02-10        kinaba:  if(ok) cerr << "PASSED" << timer() << endl;  else { cerr << "FAILED" << timer() << endl;
16853a9ca7 2015-02-10        kinaba:  cerr << "\to: \"" << Expected << '\"' << endl << "\tx: \"" << Received << '\"' << endl; } }
16853a9ca7 2015-02-10        kinaba: #define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock();
16853a9ca7 2015-02-10        kinaba: #define END	 verify_case(_, AB().createString(N, K));}
16853a9ca7 2015-02-10        kinaba: int main(){
16853a9ca7 2015-02-10        kinaba: 
16853a9ca7 2015-02-10        kinaba: CASE(0)
16853a9ca7 2015-02-10        kinaba: 	int N = 3;
16853a9ca7 2015-02-10        kinaba: 	int K = 2;
16853a9ca7 2015-02-10        kinaba: 	string _ = "ABB";
16853a9ca7 2015-02-10        kinaba: END
16853a9ca7 2015-02-10        kinaba: CASE(1)
16853a9ca7 2015-02-10        kinaba: 	int N = 2;
16853a9ca7 2015-02-10        kinaba: 	int K = 0;
16853a9ca7 2015-02-10        kinaba: 	string _ = "BA";
16853a9ca7 2015-02-10        kinaba: END
16853a9ca7 2015-02-10        kinaba: CASE(2)
16853a9ca7 2015-02-10        kinaba: 	int N = 5;
16853a9ca7 2015-02-10        kinaba: 	int K = 8;
16853a9ca7 2015-02-10        kinaba: 	string _ = "";
16853a9ca7 2015-02-10        kinaba: END
16853a9ca7 2015-02-10        kinaba: CASE(3)
16853a9ca7 2015-02-10        kinaba: 	int N = 10;
16853a9ca7 2015-02-10        kinaba: 	int K = 12;
16853a9ca7 2015-02-10        kinaba: 	string _ = "BAABBABAAB";
16853a9ca7 2015-02-10        kinaba: END
16853a9ca7 2015-02-10        kinaba: /*
16853a9ca7 2015-02-10        kinaba: CASE(4)
16853a9ca7 2015-02-10        kinaba: 	int N = ;
16853a9ca7 2015-02-10        kinaba: 	int K = ;
16853a9ca7 2015-02-10        kinaba: 	string _ = ;
16853a9ca7 2015-02-10        kinaba: END
16853a9ca7 2015-02-10        kinaba: CASE(5)
16853a9ca7 2015-02-10        kinaba: 	int N = ;
16853a9ca7 2015-02-10        kinaba: 	int K = ;
16853a9ca7 2015-02-10        kinaba: 	string _ = ;
16853a9ca7 2015-02-10        kinaba: END
16853a9ca7 2015-02-10        kinaba: */
16853a9ca7 2015-02-10        kinaba: }
16853a9ca7 2015-02-10        kinaba: // END CUT HERE