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 CellScores { public:
4fd800b3a8 2011-02-23        kinaba: 	long long countScores(int N, int M, int K, int X0, int A, int B, int Y0, int C, int D)
4fd800b3a8 2011-02-23        kinaba: 	{
4fd800b3a8 2011-02-23        kinaba: 		vector<int> X(M+K,X0%N), Y(M+K,Y0%N);
4fd800b3a8 2011-02-23        kinaba: 		for(int i=1; i<M+K; ++i)
4fd800b3a8 2011-02-23        kinaba: 			X[i] = (X[i-1]*A+B)%N,
4fd800b3a8 2011-02-23        kinaba: 			Y[i] = (Y[i-1]*C+D)%N;
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 		vector< vector<bool> > black(N, vector<bool>(N, false));
4fd800b3a8 2011-02-23        kinaba: 		for(int i=0; i<M; ++i)
4fd800b3a8 2011-02-23        kinaba: 			black[Y[i]][X[i]] = true;
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 		// how to compute them????
4fd800b3a8 2011-02-23        kinaba: 		vector< vector<int> > score_b(N, vector<int>(N, 0)); // # of gd rects around(Y,X) whose bottom line is y=Y+1
4fd800b3a8 2011-02-23        kinaba: 		vector< vector<int> > score_t(N, vector<int>(N, 0)); // top line is y=Y
4fd800b3a8 2011-02-23        kinaba: 		vector< vector<int> > score_l(N, vector<int>(N, 0)); // ...
4fd800b3a8 2011-02-23        kinaba: 		vector< vector<int> > score_r(N, vector<int>(N, 0));
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 		// O(1) score computation
4fd800b3a8 2011-02-23        kinaba: 		vector< vector<int> > score(N, vector<int>(N, 0));
4fd800b3a8 2011-02-23        kinaba: 		score[0][0] = score_t[0][0];
4fd800b3a8 2011-02-23        kinaba: 		for(int x=1; x<N; ++x)
4fd800b3a8 2011-02-23        kinaba: 			score[0][x] = score[0][x-1] - score_r[0][x-x] + score_l[0][x];
4fd800b3a8 2011-02-23        kinaba: 		for(int y=1; y<N; ++y)
4fd800b3a8 2011-02-23        kinaba: 			for(int x=0; x<N; ++x)
4fd800b3a8 2011-02-23        kinaba: 				score[y][x] = score[y-1][x] - score_b[y-1][x] + score_t[y][x];
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 		LL ss = 0;
4fd800b3a8 2011-02-23        kinaba: 		for(int i=M; i<M+K; ++i)
4fd800b3a8 2011-02-23        kinaba: 			ss += score[Y[i]][X[i]];
4fd800b3a8 2011-02-23        kinaba: 		return ss;
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(_, CellScores().countScores(N, M, K, X0, A, B, Y0, C, D));}
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 N = 10;
4fd800b3a8 2011-02-23        kinaba: 	int M = 0;
4fd800b3a8 2011-02-23        kinaba: 	int K = 1;
4fd800b3a8 2011-02-23        kinaba: 	int X0 = 0;
4fd800b3a8 2011-02-23        kinaba: 	int A = 1;
4fd800b3a8 2011-02-23        kinaba: 	int B = 1;
4fd800b3a8 2011-02-23        kinaba: 	int Y0 = 0;
4fd800b3a8 2011-02-23        kinaba: 	int C = 1;
4fd800b3a8 2011-02-23        kinaba: 	int D = 1;
4fd800b3a8 2011-02-23        kinaba: 	long long _ = 100LL;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(1)
4fd800b3a8 2011-02-23        kinaba: 	int N = 10;
4fd800b3a8 2011-02-23        kinaba: 	int M = 1;
4fd800b3a8 2011-02-23        kinaba: 	int K = 1;
4fd800b3a8 2011-02-23        kinaba: 	int X0 = 5;
4fd800b3a8 2011-02-23        kinaba: 	int A = 1;
4fd800b3a8 2011-02-23        kinaba: 	int B = 5;
4fd800b3a8 2011-02-23        kinaba: 	int Y0 = 5;
4fd800b3a8 2011-02-23        kinaba: 	int C = 1;
4fd800b3a8 2011-02-23        kinaba: 	int D = 5;
4fd800b3a8 2011-02-23        kinaba: 	long long _ = 75LL;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(2)
4fd800b3a8 2011-02-23        kinaba: 	int N = 7;
4fd800b3a8 2011-02-23        kinaba: 	int M = 4;
4fd800b3a8 2011-02-23        kinaba: 	int K = 3;
4fd800b3a8 2011-02-23        kinaba: 	int X0 = 0;
4fd800b3a8 2011-02-23        kinaba: 	int A = 1;
4fd800b3a8 2011-02-23        kinaba: 	int B = 1;
4fd800b3a8 2011-02-23        kinaba: 	int Y0 = 0;
4fd800b3a8 2011-02-23        kinaba: 	int C = 1;
4fd800b3a8 2011-02-23        kinaba: 	int D = 1;
4fd800b3a8 2011-02-23        kinaba: 	long long _ = 194LL;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(3)
4fd800b3a8 2011-02-23        kinaba: 	int N = 23;
4fd800b3a8 2011-02-23        kinaba: 	int M = 10;
4fd800b3a8 2011-02-23        kinaba: 	int K = 30;
4fd800b3a8 2011-02-23        kinaba: 	int X0 = 26;
4fd800b3a8 2011-02-23        kinaba: 	int A = 48;
4fd800b3a8 2011-02-23        kinaba: 	int B = 76;
4fd800b3a8 2011-02-23        kinaba: 	int Y0 = 231;
4fd800b3a8 2011-02-23        kinaba: 	int C = 463;
4fd800b3a8 2011-02-23        kinaba: 	int D = 707;
4fd800b3a8 2011-02-23        kinaba: 	long long _ = 8088LL;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(4)
4fd800b3a8 2011-02-23        kinaba: 	int N = 211;
4fd800b3a8 2011-02-23        kinaba: 	int M = 30;
4fd800b3a8 2011-02-23        kinaba: 	int K = 12;
4fd800b3a8 2011-02-23        kinaba: 	int X0 = 3;
4fd800b3a8 2011-02-23        kinaba: 	int A = 35;
4fd800b3a8 2011-02-23        kinaba: 	int B = 82;
4fd800b3a8 2011-02-23        kinaba: 	int Y0 = 0;
4fd800b3a8 2011-02-23        kinaba: 	int C = 43;
4fd800b3a8 2011-02-23        kinaba: 	int D = 15;
4fd800b3a8 2011-02-23        kinaba: 	long long _ = 18196443LL;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(5)
4fd800b3a8 2011-02-23        kinaba: 	int N = 3;
4fd800b3a8 2011-02-23        kinaba: 	int M = 0;
4fd800b3a8 2011-02-23        kinaba: 	int K = 100;
4fd800b3a8 2011-02-23        kinaba: 	int X0 = 0;
4fd800b3a8 2011-02-23        kinaba: 	int A = 0;
4fd800b3a8 2011-02-23        kinaba: 	int B = 0;
4fd800b3a8 2011-02-23        kinaba: 	int Y0 = 0;
4fd800b3a8 2011-02-23        kinaba: 	int C = 0;
4fd800b3a8 2011-02-23        kinaba: 	int D = 0;
4fd800b3a8 2011-02-23        kinaba: 	long long _ = 900LL;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: }
4fd800b3a8 2011-02-23        kinaba: // END CUT HERE