2573eaa216 2013-03-25        kinaba: #include <iostream>
2573eaa216 2013-03-25        kinaba: #include <sstream>
2573eaa216 2013-03-25        kinaba: #include <iomanip>
2573eaa216 2013-03-25        kinaba: #include <vector>
2573eaa216 2013-03-25        kinaba: #include <string>
2573eaa216 2013-03-25        kinaba: #include <map>
2573eaa216 2013-03-25        kinaba: #include <set>
2573eaa216 2013-03-25        kinaba: #include <algorithm>
2573eaa216 2013-03-25        kinaba: #include <numeric>
2573eaa216 2013-03-25        kinaba: #include <iterator>
2573eaa216 2013-03-25        kinaba: #include <functional>
2573eaa216 2013-03-25        kinaba: #include <complex>
2573eaa216 2013-03-25        kinaba: #include <queue>
2573eaa216 2013-03-25        kinaba: #include <stack>
2573eaa216 2013-03-25        kinaba: #include <cmath>
2573eaa216 2013-03-25        kinaba: #include <cassert>
2573eaa216 2013-03-25        kinaba: using namespace std;
2573eaa216 2013-03-25        kinaba: typedef long long LL;
2573eaa216 2013-03-25        kinaba: typedef long double LD;
2573eaa216 2013-03-25        kinaba: typedef complex<LD> CMP;
2573eaa216 2013-03-25        kinaba: 
2573eaa216 2013-03-25        kinaba: class TeamContest { public:
2573eaa216 2013-03-25        kinaba: 	int worstRank(vector <int> s)
2573eaa216 2013-03-25        kinaba: 	{
2573eaa216 2013-03-25        kinaba: 		int N = s.size()/3;
2573eaa216 2013-03-25        kinaba: 		int us = str(s[0], s[1], s[2]);
2573eaa216 2013-03-25        kinaba: 		sort(s.begin()+3, s.end());
2573eaa216 2013-03-25        kinaba: 		int L = 0;   // |<=us| <= 0 is impossible
2573eaa216 2013-03-25        kinaba: 		int R = N-1; // |<=us| <= N-1 is possible
2573eaa216 2013-03-25        kinaba: 		while(R-L>1)
2573eaa216 2013-03-25        kinaba: 		{
2573eaa216 2013-03-25        kinaba: 			int C = (L+R)/2;
2573eaa216 2013-03-25        kinaba: 			(possible(us, C, s) ? R : L) = C;
2573eaa216 2013-03-25        kinaba: 		}
2573eaa216 2013-03-25        kinaba: 		return N-R;
2573eaa216 2013-03-25        kinaba: 	}
2573eaa216 2013-03-25        kinaba: 
2573eaa216 2013-03-25        kinaba: 	int str(int a, int b, int c)
2573eaa216 2013-03-25        kinaba: 	{
2573eaa216 2013-03-25        kinaba: 		return max(max(a,b),c) + min(min(a,b),c);
2573eaa216 2013-03-25        kinaba: 	}
2573eaa216 2013-03-25        kinaba: 
2573eaa216 2013-03-25        kinaba: 	// |<=us| <= UB possible?
2573eaa216 2013-03-25        kinaba: 	bool possible(int us, int UB, const vector<int>& s)
2573eaa216 2013-03-25        kinaba: 	{
2573eaa216 2013-03-25        kinaba: 		int si = 3;
2573eaa216 2013-03-25        kinaba: 
2573eaa216 2013-03-25        kinaba: 		// from weak teams
2573eaa216 2013-03-25        kinaba: 		while(UB > 0) {
2573eaa216 2013-03-25        kinaba: 			if(si==s.size())
2573eaa216 2013-03-25        kinaba: 				return true;
2573eaa216 2013-03-25        kinaba: 			si += 3;
2573eaa216 2013-03-25        kinaba: 			--UB;
2573eaa216 2013-03-25        kinaba: 		}
2573eaa216 2013-03-25        kinaba: 
2573eaa216 2013-03-25        kinaba: 		if(si==s.size())
2573eaa216 2013-03-25        kinaba: 			return true; // no more team left
2573eaa216 2013-03-25        kinaba: 
2573eaa216 2013-03-25        kinaba: 		// can we make every other teams stronger than ourselves?
2573eaa216 2013-03-25        kinaba: 		vector<int> ss(s.begin()+si, s.end());
2573eaa216 2013-03-25        kinaba: 		while(!ss.empty())
2573eaa216 2013-03-25        kinaba: 			if(!takeOut(us, ss))
2573eaa216 2013-03-25        kinaba: 				return false;
2573eaa216 2013-03-25        kinaba: 		return true;
2573eaa216 2013-03-25        kinaba: 	}
2573eaa216 2013-03-25        kinaba: 
2573eaa216 2013-03-25        kinaba: 	bool takeOut(int us, vector<int>& s)
2573eaa216 2013-03-25        kinaba: 	{
2573eaa216 2013-03-25        kinaba: 		int a = s[0];
2573eaa216 2013-03-25        kinaba: 		s.erase(s.begin());
2573eaa216 2013-03-25        kinaba: 		int b = s[0];
2573eaa216 2013-03-25        kinaba: 		s.erase(s.begin());
2573eaa216 2013-03-25        kinaba: 		for(int i=0; i<s.size(); ++i) {
2573eaa216 2013-03-25        kinaba: 			int c = s[i];
2573eaa216 2013-03-25        kinaba: 			if(str(a,b,c) > us) {
2573eaa216 2013-03-25        kinaba: 				s.erase(s.begin()+i);
2573eaa216 2013-03-25        kinaba: 				return true;
2573eaa216 2013-03-25        kinaba: 			}
2573eaa216 2013-03-25        kinaba: 		}
2573eaa216 2013-03-25        kinaba: 		return false;
2573eaa216 2013-03-25        kinaba: 	}
2573eaa216 2013-03-25        kinaba: };
2573eaa216 2013-03-25        kinaba: 
2573eaa216 2013-03-25        kinaba: // BEGIN CUT HERE
2573eaa216 2013-03-25        kinaba: #include <ctime>
2573eaa216 2013-03-25        kinaba: double start_time; string timer()
2573eaa216 2013-03-25        kinaba:  { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
2573eaa216 2013-03-25        kinaba: template<typename T> ostream& operator<<(ostream& os, const vector<T>& v)
2573eaa216 2013-03-25        kinaba:  { os << "{ ";
2573eaa216 2013-03-25        kinaba:    for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it)
2573eaa216 2013-03-25        kinaba:    os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; }
2573eaa216 2013-03-25        kinaba: void verify_case(const int& Expected, const int& Received) {
2573eaa216 2013-03-25        kinaba:  bool ok = (Expected == Received);
2573eaa216 2013-03-25        kinaba:  if(ok) cerr << "PASSED" << timer() << endl;  else { cerr << "FAILED" << timer() << endl;
2573eaa216 2013-03-25        kinaba:  cerr << "\to: \"" << Expected << '\"' << endl << "\tx: \"" << Received << '\"' << endl; } }
2573eaa216 2013-03-25        kinaba: #define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock();
2573eaa216 2013-03-25        kinaba: #define END	 verify_case(_, TeamContest().worstRank(strength));}
2573eaa216 2013-03-25        kinaba: int main(){
2573eaa216 2013-03-25        kinaba: 
2573eaa216 2013-03-25        kinaba: CASE(0)
2573eaa216 2013-03-25        kinaba: 	int strength_[] = {5, 7, 3, 5, 7, 3, 5, 7, 3};
2573eaa216 2013-03-25        kinaba: 	  vector <int> strength(strength_, strength_+sizeof(strength_)/sizeof(*strength_));
2573eaa216 2013-03-25        kinaba: 	int _ = 2;
2573eaa216 2013-03-25        kinaba: END
2573eaa216 2013-03-25        kinaba: CASE(1)
2573eaa216 2013-03-25        kinaba: 	int strength_[] = {5, 7, 3}
2573eaa216 2013-03-25        kinaba: ;
2573eaa216 2013-03-25        kinaba: 	  vector <int> strength(strength_, strength_+sizeof(strength_)/sizeof(*strength_));
2573eaa216 2013-03-25        kinaba: 	int _ = 1;
2573eaa216 2013-03-25        kinaba: END
2573eaa216 2013-03-25        kinaba: CASE(2)
2573eaa216 2013-03-25        kinaba: 	int strength_[] = {1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1};
2573eaa216 2013-03-25        kinaba: 	  vector <int> strength(strength_, strength_+sizeof(strength_)/sizeof(*strength_));
2573eaa216 2013-03-25        kinaba: 	int _ = 1;
2573eaa216 2013-03-25        kinaba: END
2573eaa216 2013-03-25        kinaba: CASE(3)
2573eaa216 2013-03-25        kinaba: 	int strength_[] = {3,9,4,6,2,6,1,6,9,1,4,1,3,8,5}
2573eaa216 2013-03-25        kinaba: ;
2573eaa216 2013-03-25        kinaba: 	  vector <int> strength(strength_, strength_+sizeof(strength_)/sizeof(*strength_));
2573eaa216 2013-03-25        kinaba: 	int _ = 3;
2573eaa216 2013-03-25        kinaba: END
2573eaa216 2013-03-25        kinaba: CASE(4)
2573eaa216 2013-03-25        kinaba: 	int strength_[] = {53,47,88,79,99,75,28,54,65,14,22,13,11,31,43}
2573eaa216 2013-03-25        kinaba: ;
2573eaa216 2013-03-25        kinaba: 	  vector <int> strength(strength_, strength_+sizeof(strength_)/sizeof(*strength_));
2573eaa216 2013-03-25        kinaba: 	int _ = 3;
2573eaa216 2013-03-25        kinaba: END
2573eaa216 2013-03-25        kinaba: CASE(5)
2573eaa216 2013-03-25        kinaba: 	int strength_[] = {2,2,2,1,1,1,1,1,5};
2573eaa216 2013-03-25        kinaba: 	  vector <int> strength(strength_, strength_+sizeof(strength_)/sizeof(*strength_));
2573eaa216 2013-03-25        kinaba: 	int _ = 2;
2573eaa216 2013-03-25        kinaba: END
2573eaa216 2013-03-25        kinaba: /*
2573eaa216 2013-03-25        kinaba: CASE(6)
2573eaa216 2013-03-25        kinaba: 	int strength_[] = ;
2573eaa216 2013-03-25        kinaba: 	  vector <int> strength(strength_, strength_+sizeof(strength_)/sizeof(*strength_));
2573eaa216 2013-03-25        kinaba: 	int _ = ;
2573eaa216 2013-03-25        kinaba: END
2573eaa216 2013-03-25        kinaba: */
2573eaa216 2013-03-25        kinaba: }
2573eaa216 2013-03-25        kinaba: // END CUT HERE