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 <functional>
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: #include <cassert>
4fd800b3a8 2011-02-23        kinaba: #include <cstring>
4fd800b3a8 2011-02-23        kinaba: using namespace std;
4fd800b3a8 2011-02-23        kinaba: typedef long long LL;
4fd800b3a8 2011-02-23        kinaba: typedef complex<double> CMP;
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: class RightTriangle { public:
4fd800b3a8 2011-02-23        kinaba: 	long long triangleCount(int places, int points, int a, int b, int c)
4fd800b3a8 2011-02-23        kinaba: 	{
4fd800b3a8 2011-02-23        kinaba: 		vector<bool> red(places);
4fd800b3a8 2011-02-23        kinaba: 		set<int> vacant;
4fd800b3a8 2011-02-23        kinaba: 		for(int i=0; i<places; ++i)
4fd800b3a8 2011-02-23        kinaba: 			vacant.insert(i);
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 		for(LL n=0; n<points; ++n) {
4fd800b3a8 2011-02-23        kinaba: 			LL p = (a*n*n + b*n + c) % places;
4fd800b3a8 2011-02-23        kinaba: 			if( red[p] ) {
4fd800b3a8 2011-02-23        kinaba: 				set<int>::iterator it = vacant.lower_bound(p);
4fd800b3a8 2011-02-23        kinaba: 				if( it != vacant.end() )
4fd800b3a8 2011-02-23        kinaba: 					p = *it;
4fd800b3a8 2011-02-23        kinaba: 				else {
4fd800b3a8 2011-02-23        kinaba: 					it = vacant.lower_bound(0);
4fd800b3a8 2011-02-23        kinaba: 					p = *it;
4fd800b3a8 2011-02-23        kinaba: 				}
4fd800b3a8 2011-02-23        kinaba: 			}
4fd800b3a8 2011-02-23        kinaba: 			red[p] = true;
4fd800b3a8 2011-02-23        kinaba: 			vacant.erase(p);
4fd800b3a8 2011-02-23        kinaba: 		}
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 		if( places%2 == 1 )
4fd800b3a8 2011-02-23        kinaba: 			return 0;
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 		LL result = 0;
4fd800b3a8 2011-02-23        kinaba: 		for(int a=0,b=a+places/2; b<places; ++a, ++b)
4fd800b3a8 2011-02-23        kinaba: 			if( red[a] && red[b] )
4fd800b3a8 2011-02-23        kinaba: 				result += points-2;
4fd800b3a8 2011-02-23        kinaba: 		return result;
4fd800b3a8 2011-02-23        kinaba: 	}
4fd800b3a8 2011-02-23        kinaba: };
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: // BEGIN CUT HERE
4fd800b3a8 2011-02-23        kinaba: #include <ctime>
4fd800b3a8 2011-02-23        kinaba: double start_time; string timer()
4fd800b3a8 2011-02-23        kinaba:  { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
4fd800b3a8 2011-02-23        kinaba: template<typename T> ostream& operator<<(ostream& os, const vector<T>& v)
4fd800b3a8 2011-02-23        kinaba:  { os << "{ ";
4fd800b3a8 2011-02-23        kinaba:    for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it)
4fd800b3a8 2011-02-23        kinaba:    os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; }
4fd800b3a8 2011-02-23        kinaba: void verify_case(const long long& Expected, const long long& Received) {
4fd800b3a8 2011-02-23        kinaba:  bool ok = (Expected == Received);
4fd800b3a8 2011-02-23        kinaba:  if(ok) cerr << "PASSED" << timer() << endl;  else { cerr << "FAILED" << timer() << endl;
4fd800b3a8 2011-02-23        kinaba:  cerr << "\to: \"" << Expected << '\"' << endl << "\tx: \"" << Received << '\"' << endl; } }
4fd800b3a8 2011-02-23        kinaba: #define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock();
4fd800b3a8 2011-02-23        kinaba: #define END	 verify_case(_, RightTriangle().triangleCount(places, points, a, b, c));}
4fd800b3a8 2011-02-23        kinaba: int main(){
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: CASE(0)
4fd800b3a8 2011-02-23        kinaba: 	int places = 9;
4fd800b3a8 2011-02-23        kinaba: 	int points = 3;
4fd800b3a8 2011-02-23        kinaba: 	int a = 0;
4fd800b3a8 2011-02-23        kinaba: 	int b = 3;
4fd800b3a8 2011-02-23        kinaba: 	int c = 0;
4fd800b3a8 2011-02-23        kinaba: 	long long _ = 0LL;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(1)
4fd800b3a8 2011-02-23        kinaba: 	int places = 40;
4fd800b3a8 2011-02-23        kinaba: 	int points = 3;
4fd800b3a8 2011-02-23        kinaba: 	int a = 5;
4fd800b3a8 2011-02-23        kinaba: 	int b = 0;
4fd800b3a8 2011-02-23        kinaba: 	int c = 0;
4fd800b3a8 2011-02-23        kinaba: 	long long _ = 1LL;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(2)
4fd800b3a8 2011-02-23        kinaba: 	int places = 4;
4fd800b3a8 2011-02-23        kinaba: 	int points = 4;
4fd800b3a8 2011-02-23        kinaba: 	int a = 16;
4fd800b3a8 2011-02-23        kinaba: 	int b = 24;
4fd800b3a8 2011-02-23        kinaba: 	int c = 17;
4fd800b3a8 2011-02-23        kinaba: 	long long _ = 4LL;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(3)
4fd800b3a8 2011-02-23        kinaba: 	int places = 1000000;
4fd800b3a8 2011-02-23        kinaba: 	int points = 47000;
4fd800b3a8 2011-02-23        kinaba: 	int a = 0;
4fd800b3a8 2011-02-23        kinaba: 	int b = 2;
4fd800b3a8 2011-02-23        kinaba: 	int c = 5;
4fd800b3a8 2011-02-23        kinaba: 	long long _ = 0LL;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(4)
4fd800b3a8 2011-02-23        kinaba: 	int places = 200000;
4fd800b3a8 2011-02-23        kinaba: 	int points = 700;
4fd800b3a8 2011-02-23        kinaba: 	int a = 123456;
4fd800b3a8 2011-02-23        kinaba: 	int b = 789012;
4fd800b3a8 2011-02-23        kinaba: 	int c = 345678;
4fd800b3a8 2011-02-23        kinaba: 	long long _ = 6980LL;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(5)
4fd800b3a8 2011-02-23        kinaba: 	int places = 1000000;
4fd800b3a8 2011-02-23        kinaba: 	int points = 0;
4fd800b3a8 2011-02-23        kinaba: 	int a = 0;
4fd800b3a8 2011-02-23        kinaba: 	int b = 0;
4fd800b3a8 2011-02-23        kinaba: 	int c = 0;
4fd800b3a8 2011-02-23        kinaba: 	long long _ = 0LL;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(6)
4fd800b3a8 2011-02-23        kinaba: 	int places = 1000000;
4fd800b3a8 2011-02-23        kinaba: 	int points = 100000;
4fd800b3a8 2011-02-23        kinaba: 	int a = 0;
4fd800b3a8 2011-02-23        kinaba: 	int b = 0;
4fd800b3a8 2011-02-23        kinaba: 	int c = 0;
4fd800b3a8 2011-02-23        kinaba: 	long long _ = 0LL;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(7)
4fd800b3a8 2011-02-23        kinaba: 	int places = 1;
4fd800b3a8 2011-02-23        kinaba: 	int points = 0;
4fd800b3a8 2011-02-23        kinaba: 	int a = 1;
4fd800b3a8 2011-02-23        kinaba: 	int b = 2;
4fd800b3a8 2011-02-23        kinaba: 	int c = 3;
4fd800b3a8 2011-02-23        kinaba: 	long long _ = 0LL;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(8)
4fd800b3a8 2011-02-23        kinaba: 	int places = 1;
4fd800b3a8 2011-02-23        kinaba: 	int points = 1;
4fd800b3a8 2011-02-23        kinaba: 	int a = 3;
4fd800b3a8 2011-02-23        kinaba: 	int b = 2;
4fd800b3a8 2011-02-23        kinaba: 	int c = 1;
4fd800b3a8 2011-02-23        kinaba: 	long long _ = 0LL;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(9)
4fd800b3a8 2011-02-23        kinaba: 	int places = 3;
4fd800b3a8 2011-02-23        kinaba: 	int points = 3;
4fd800b3a8 2011-02-23        kinaba: 	int a = 1000000;
4fd800b3a8 2011-02-23        kinaba: 	int b = 1000000;
4fd800b3a8 2011-02-23        kinaba: 	int c = 1000000;
4fd800b3a8 2011-02-23        kinaba: 	long long _ = 0LL;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(9)
4fd800b3a8 2011-02-23        kinaba: 	int places = 4;
4fd800b3a8 2011-02-23        kinaba: 	int points = 4;
4fd800b3a8 2011-02-23        kinaba: 	int a = 1000000;
4fd800b3a8 2011-02-23        kinaba: 	int b = 1000000;
4fd800b3a8 2011-02-23        kinaba: 	int c = 1000000;
4fd800b3a8 2011-02-23        kinaba: 	long long _ = 4LL;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: }
4fd800b3a8 2011-02-23        kinaba: // END CUT HERE