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 <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: using namespace std;
4fd800b3a8 2011-02-23        kinaba: typedef long long LL;
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: class RPSTournament
4fd800b3a8 2011-02-23        kinaba: {
4fd800b3a8 2011-02-23        kinaba: public:
4fd800b3a8 2011-02-23        kinaba: 	int greatestSeed(int rounds, int C)
4fd800b3a8 2011-02-23        kinaba: 	{
4fd800b3a8 2011-02-23        kinaba: 		int L=1, R=(1<<rounds)+1;
4fd800b3a8 2011-02-23        kinaba: 		while( R-L > 1) {
4fd800b3a8 2011-02-23        kinaba: 			int M = (L+R)/2;
4fd800b3a8 2011-02-23        kinaba: 			(can_win(M, rounds, C) ? L : R) = M;
4fd800b3a8 2011-02-23        kinaba: 		}
4fd800b3a8 2011-02-23        kinaba: 		return L;
4fd800b3a8 2011-02-23        kinaba: 	}
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 	bool can_win(int X, int R, int C)
4fd800b3a8 2011-02-23        kinaba: 	{
4fd800b3a8 2011-02-23        kinaba: 		queue< pair<int,int> > Q;
4fd800b3a8 2011-02-23        kinaba: 		Q.push( make_pair(R, X) );
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 		set<int> unused;
4fd800b3a8 2011-02-23        kinaba: 		for(int n=0; n<=(1<<R); ++n)
4fd800b3a8 2011-02-23        kinaba: 			if( n!=X )
4fd800b3a8 2011-02-23        kinaba: 				unused.insert(n);
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 		while( !Q.empty() ) {
4fd800b3a8 2011-02-23        kinaba: 			int r=Q.front().first;
4fd800b3a8 2011-02-23        kinaba: 			int x=Q.front().second;
4fd800b3a8 2011-02-23        kinaba: 			Q.pop();
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 			int xl = x-(int)sqrt((double)C*x);
4fd800b3a8 2011-02-23        kinaba: 			set<int>::iterator it = unused.lower_bound(xl);
4fd800b3a8 2011-02-23        kinaba: 			if( it==unused.end() )
4fd800b3a8 2011-02-23        kinaba: 				return false;
4fd800b3a8 2011-02-23        kinaba: 			if(r > 1) {
4fd800b3a8 2011-02-23        kinaba: 				Q.push( make_pair(r-1,max(*it,x)) );
4fd800b3a8 2011-02-23        kinaba: 				Q.push( make_pair(r-1,min(*it,x)) );
4fd800b3a8 2011-02-23        kinaba: 			}
4fd800b3a8 2011-02-23        kinaba: 			unused.erase(it);
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: // BEGIN CUT HERE
4fd800b3a8 2011-02-23        kinaba: 	public:
4fd800b3a8 2011-02-23        kinaba: 	void run_test(int Case) { if ((Case == -1) || (Case == 0)) test_case_0(); if ((Case == -1) || (Case == 1)) test_case_1(); if ((Case == -1) || (Case == 2)) test_case_2(); if ((Case == -1) || (Case == 3)) test_case_3(); if ((Case == -1) || (Case == 4)) test_case_4(); }
4fd800b3a8 2011-02-23        kinaba: 	private:
4fd800b3a8 2011-02-23        kinaba: 	template <typename T> string print_array(const vector<T> &V) { ostringstream os; os << "{ "; for (typename vector<T>::const_iterator iter = V.begin(); iter != V.end(); ++iter) os << '\"' << *iter << "\","; os << " }"; return os.str(); }
4fd800b3a8 2011-02-23        kinaba: 	void verify_case(int Case, const int &Expected, const int &Received) { cerr << "Test Case #" << Case << "..."; if (Expected == Received) cerr << "PASSED" << endl; else { cerr << "FAILED" << endl; cerr << "\tExpected: \"" << Expected << '\"' << endl; cerr << "\tReceived: \"" << Received << '\"' << endl; } }
4fd800b3a8 2011-02-23        kinaba: 	void test_case_0() { int Arg0 = 2; int Arg1 = 0; int Arg2 = 1; verify_case(0, Arg2, greatestSeed(Arg0, Arg1)); }
4fd800b3a8 2011-02-23        kinaba: 	void test_case_1() { int Arg0 = 3; int Arg1 = 1; int Arg2 = 6; verify_case(1, Arg2, greatestSeed(Arg0, Arg1)); }
4fd800b3a8 2011-02-23        kinaba: 	void test_case_2() { int Arg0 = 4; int Arg1 = 1; int Arg2 = 9; verify_case(2, Arg2, greatestSeed(Arg0, Arg1)); }
4fd800b3a8 2011-02-23        kinaba: 	void test_case_3() { int Arg0 = 7; int Arg1 = 3; int Arg2 = 50; verify_case(3, Arg2, greatestSeed(Arg0, Arg1)); }
4fd800b3a8 2011-02-23        kinaba: 	void test_case_4() { int Arg0 = 15; int Arg1 = 180; int Arg2 = 9755; verify_case(4, Arg2, greatestSeed(Arg0, Arg1)); }
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: // END CUT HERE
4fd800b3a8 2011-02-23        kinaba: };
4fd800b3a8 2011-02-23        kinaba: // BEGIN CUT HERE
4fd800b3a8 2011-02-23        kinaba: int main() { RPSTournament().run_test(-1); }
4fd800b3a8 2011-02-23        kinaba: // END CUT HERE