4cc63e9faa 2012-10-11        kinaba: #include <iostream>
4cc63e9faa 2012-10-11        kinaba: #include <sstream>
4cc63e9faa 2012-10-11        kinaba: #include <iomanip>
4cc63e9faa 2012-10-11        kinaba: #include <vector>
4cc63e9faa 2012-10-11        kinaba: #include <string>
4cc63e9faa 2012-10-11        kinaba: #include <map>
4cc63e9faa 2012-10-11        kinaba: #include <set>
4cc63e9faa 2012-10-11        kinaba: #include <algorithm>
4cc63e9faa 2012-10-11        kinaba: #include <numeric>
4cc63e9faa 2012-10-11        kinaba: #include <iterator>
4cc63e9faa 2012-10-11        kinaba: #include <functional>
4cc63e9faa 2012-10-11        kinaba: #include <complex>
4cc63e9faa 2012-10-11        kinaba: #include <queue>
4cc63e9faa 2012-10-11        kinaba: #include <stack>
4cc63e9faa 2012-10-11        kinaba: #include <cmath>
4cc63e9faa 2012-10-11        kinaba: #include <cassert>
4cc63e9faa 2012-10-11        kinaba: using namespace std;
4cc63e9faa 2012-10-11        kinaba: typedef long long LL;
4cc63e9faa 2012-10-11        kinaba: typedef long double LD;
4cc63e9faa 2012-10-11        kinaba: typedef complex<LD> CMP;
4cc63e9faa 2012-10-11        kinaba: 
4cc63e9faa 2012-10-11        kinaba: class FoxAndMountainEasy { public:
4cc63e9faa 2012-10-11        kinaba: 	string possible(int n, int h0, int hn, string history)
4cc63e9faa 2012-10-11        kinaba: 	{
4cc63e9faa 2012-10-11        kinaba: 		int z = 0;
4cc63e9faa 2012-10-11        kinaba: 		int min_z = 0;
4cc63e9faa 2012-10-11        kinaba: 		for(int i=0; i<history.size(); ++i) {
4cc63e9faa 2012-10-11        kinaba: 			z += (history[i]=='U' ? +1 : -1);
4cc63e9faa 2012-10-11        kinaba: 			min_z = min(z, min_z);
4cc63e9faa 2012-10-11        kinaba: 		}
4cc63e9faa 2012-10-11        kinaba: 
4cc63e9faa 2012-10-11        kinaba: 		for(int x=0; x+history.size()<=n; ++x)
4cc63e9faa 2012-10-11        kinaba: 		{
4cc63e9faa 2012-10-11        kinaba: 			int hx = h0 + x;
4cc63e9faa 2012-10-11        kinaba: 			if(hx+min_z < 0)
4cc63e9faa 2012-10-11        kinaba: 				continue;
4cc63e9faa 2012-10-11        kinaba: 			int hy = hx + z;
4cc63e9faa 2012-10-11        kinaba: 			if( possible(hn-hy, n-(x+history.size())) )
4cc63e9faa 2012-10-11        kinaba: 				return "YES";
4cc63e9faa 2012-10-11        kinaba: 		}
4cc63e9faa 2012-10-11        kinaba: 		return "NO";
4cc63e9faa 2012-10-11        kinaba: 	}
4cc63e9faa 2012-10-11        kinaba: 
4cc63e9faa 2012-10-11        kinaba: 	bool possible(int dh, int k)
4cc63e9faa 2012-10-11        kinaba: 	{
4cc63e9faa 2012-10-11        kinaba: 		if((k+dh)%2 != 0)
4cc63e9faa 2012-10-11        kinaba: 			return false;
4cc63e9faa 2012-10-11        kinaba: 		int u = (k+dh)/2;
4cc63e9faa 2012-10-11        kinaba: 		int d = k - u;
4cc63e9faa 2012-10-11        kinaba: 		return 0<=u && u<=k && u+d==k && u-d==dh;
4cc63e9faa 2012-10-11        kinaba: 	}
4cc63e9faa 2012-10-11        kinaba: };
4cc63e9faa 2012-10-11        kinaba: 
4cc63e9faa 2012-10-11        kinaba: // BEGIN CUT HERE
4cc63e9faa 2012-10-11        kinaba: #include <ctime>
4cc63e9faa 2012-10-11        kinaba: double start_time; string timer()
4cc63e9faa 2012-10-11        kinaba:  { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
4cc63e9faa 2012-10-11        kinaba: template<typename T> ostream& operator<<(ostream& os, const vector<T>& v)
4cc63e9faa 2012-10-11        kinaba:  { os << "{ ";
4cc63e9faa 2012-10-11        kinaba:    for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it)
4cc63e9faa 2012-10-11        kinaba:    os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; }
4cc63e9faa 2012-10-11        kinaba: void verify_case(const string& Expected, const string& Received) {
4cc63e9faa 2012-10-11        kinaba:  bool ok = (Expected == Received);
4cc63e9faa 2012-10-11        kinaba:  if(ok) cerr << "PASSED" << timer() << endl;  else { cerr << "FAILED" << timer() << endl;
4cc63e9faa 2012-10-11        kinaba:  cerr << "\to: \"" << Expected << '\"' << endl << "\tx: \"" << Received << '\"' << endl; } }
4cc63e9faa 2012-10-11        kinaba: #define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock();
4cc63e9faa 2012-10-11        kinaba: #define END	 verify_case(_, FoxAndMountainEasy().possible(n, h0, hn, history));}
4cc63e9faa 2012-10-11        kinaba: int main(){
4cc63e9faa 2012-10-11        kinaba: 
4cc63e9faa 2012-10-11        kinaba: CASE(0)
4cc63e9faa 2012-10-11        kinaba: 	int n = 4;
4cc63e9faa 2012-10-11        kinaba: 	int h0 = 0;
4cc63e9faa 2012-10-11        kinaba: 	int hn = 4;
4cc63e9faa 2012-10-11        kinaba: 	string history = "UU";
4cc63e9faa 2012-10-11        kinaba: 	string _ = "YES";
4cc63e9faa 2012-10-11        kinaba: END
4cc63e9faa 2012-10-11        kinaba: CASE(1)
4cc63e9faa 2012-10-11        kinaba: 	int n = 4;
4cc63e9faa 2012-10-11        kinaba: 	int h0 = 0;
4cc63e9faa 2012-10-11        kinaba: 	int hn = 4;
4cc63e9faa 2012-10-11        kinaba: 	string history = "D";
4cc63e9faa 2012-10-11        kinaba: 	string _ = "NO";
4cc63e9faa 2012-10-11        kinaba: END
4cc63e9faa 2012-10-11        kinaba: CASE(2)
4cc63e9faa 2012-10-11        kinaba: 	int n = 4;
4cc63e9faa 2012-10-11        kinaba: 	int h0 = 100000;
4cc63e9faa 2012-10-11        kinaba: 	int hn = 100000;
4cc63e9faa 2012-10-11        kinaba: 	string history = "DDU";
4cc63e9faa 2012-10-11        kinaba: 	string _ = "YES";
4cc63e9faa 2012-10-11        kinaba: END
4cc63e9faa 2012-10-11        kinaba: CASE(3)
4cc63e9faa 2012-10-11        kinaba: 	int n = 4;
4cc63e9faa 2012-10-11        kinaba: 	int h0 = 0;
4cc63e9faa 2012-10-11        kinaba: 	int hn = 0;
4cc63e9faa 2012-10-11        kinaba: 	string history = "DDU";
4cc63e9faa 2012-10-11        kinaba: 	string _ = "NO";
4cc63e9faa 2012-10-11        kinaba: END
4cc63e9faa 2012-10-11        kinaba: CASE(4)
4cc63e9faa 2012-10-11        kinaba: 	int n = 20;
4cc63e9faa 2012-10-11        kinaba: 	int h0 = 20;
4cc63e9faa 2012-10-11        kinaba: 	int hn = 20;
4cc63e9faa 2012-10-11        kinaba: 	string history = "UDUDUDUDUD";
4cc63e9faa 2012-10-11        kinaba: 	string _ = "YES";
4cc63e9faa 2012-10-11        kinaba: END
4cc63e9faa 2012-10-11        kinaba: CASE(5)
4cc63e9faa 2012-10-11        kinaba: 	int n = 20;
4cc63e9faa 2012-10-11        kinaba: 	int h0 = 0;
4cc63e9faa 2012-10-11        kinaba: 	int hn = 0;
4cc63e9faa 2012-10-11        kinaba: 	string history = "UUUUUUUUUU";
4cc63e9faa 2012-10-11        kinaba: 	string _ = "YES";
4cc63e9faa 2012-10-11        kinaba: END
4cc63e9faa 2012-10-11        kinaba: CASE(6)
4cc63e9faa 2012-10-11        kinaba: 	int n = 20;
4cc63e9faa 2012-10-11        kinaba: 	int h0 = 0;
4cc63e9faa 2012-10-11        kinaba: 	int hn = 0;
4cc63e9faa 2012-10-11        kinaba: 	string history = "UUUUUUUUUUU";
4cc63e9faa 2012-10-11        kinaba: 	string _ = "NO";
4cc63e9faa 2012-10-11        kinaba: END
4cc63e9faa 2012-10-11        kinaba: CASE(7)
4cc63e9faa 2012-10-11        kinaba: 	int n = 4;
4cc63e9faa 2012-10-11        kinaba: 	int h0 = 3;
4cc63e9faa 2012-10-11        kinaba: 	int hn = 1;
4cc63e9faa 2012-10-11        kinaba: 	string history = "U";
4cc63e9faa 2012-10-11        kinaba: 	string _ = "YES";
4cc63e9faa 2012-10-11        kinaba: END
4cc63e9faa 2012-10-11        kinaba: CASE(8)
4cc63e9faa 2012-10-11        kinaba: 	int n = 1;
4cc63e9faa 2012-10-11        kinaba: 	int h0 = 0;
4cc63e9faa 2012-10-11        kinaba: 	int hn = 1;
4cc63e9faa 2012-10-11        kinaba: 	string history = "U";
4cc63e9faa 2012-10-11        kinaba: 	string _ = "YES";
4cc63e9faa 2012-10-11        kinaba: END
4cc63e9faa 2012-10-11        kinaba: CASE(8)
4cc63e9faa 2012-10-11        kinaba: 	int n = 2;
4cc63e9faa 2012-10-11        kinaba: 	int h0 = 0;
4cc63e9faa 2012-10-11        kinaba: 	int hn = 0;
4cc63e9faa 2012-10-11        kinaba: 	string history = "DU";
4cc63e9faa 2012-10-11        kinaba: 	string _ = "NO";
4cc63e9faa 2012-10-11        kinaba: END
4cc63e9faa 2012-10-11        kinaba: }
4cc63e9faa 2012-10-11        kinaba: // END CUT HERE