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ea99443fa2 2014-06-07        kinaba: #include <iostream>
ea99443fa2 2014-06-07        kinaba: #include <sstream>
ea99443fa2 2014-06-07        kinaba: #include <iomanip>
ea99443fa2 2014-06-07        kinaba: #include <vector>
ea99443fa2 2014-06-07        kinaba: #include <string>
ea99443fa2 2014-06-07        kinaba: #include <map>
ea99443fa2 2014-06-07        kinaba: #include <set>
ea99443fa2 2014-06-07        kinaba: #include <algorithm>
ea99443fa2 2014-06-07        kinaba: #include <numeric>
ea99443fa2 2014-06-07        kinaba: #include <iterator>
ea99443fa2 2014-06-07        kinaba: #include <functional>
ea99443fa2 2014-06-07        kinaba: #include <complex>
ea99443fa2 2014-06-07        kinaba: #include <queue>
ea99443fa2 2014-06-07        kinaba: #include <stack>
ea99443fa2 2014-06-07        kinaba: #include <cmath>
ea99443fa2 2014-06-07        kinaba: #include <cassert>
ea99443fa2 2014-06-07        kinaba: #include <tuple>
ea99443fa2 2014-06-07        kinaba: using namespace std;
ea99443fa2 2014-06-07        kinaba: typedef long long LL;
ea99443fa2 2014-06-07        kinaba: typedef complex<double> CMP;
ea99443fa2 2014-06-07        kinaba: 
ea99443fa2 2014-06-07        kinaba: class CatchTheBeat { public:
ea99443fa2 2014-06-07        kinaba: 	int maxCatched(int n, int x0, int y0, int a, int b, int c, int d, int mod1, int mod2, int offset)
ea99443fa2 2014-06-07        kinaba: 	{
ea99443fa2 2014-06-07        kinaba: 		vector<int> x(n), y(n);
ea99443fa2 2014-06-07        kinaba: 		x[0] = x0;
ea99443fa2 2014-06-07        kinaba: 		for(int i=1; i<n; ++i)
ea99443fa2 2014-06-07        kinaba: 			x[i] = int((LL(x[i-1]) * a + b) % mod1);
ea99443fa2 2014-06-07        kinaba: 		for(int i=0; i<n; ++i)
ea99443fa2 2014-06-07        kinaba: 			x[i] = x[i] - offset;
ea99443fa2 2014-06-07        kinaba: 
ea99443fa2 2014-06-07        kinaba: 		y[0] = y0;
ea99443fa2 2014-06-07        kinaba: 		for(int i=1; i<n; ++i)
ea99443fa2 2014-06-07        kinaba: 		    y[i] = int((LL(y[i-1]) * c + d) % mod2);
ea99443fa2 2014-06-07        kinaba: 
ea99443fa2 2014-06-07        kinaba: 		return solve(n, x, y);
ea99443fa2 2014-06-07        kinaba: 	}
ea99443fa2 2014-06-07        kinaba: 
ea99443fa2 2014-06-07        kinaba: 	int solve(int N, const vector<int>& x, const vector<int>& y)
ea99443fa2 2014-06-07        kinaba: 	{
ea99443fa2 2014-06-07        kinaba: 		vector<pair<int,int>> tx;
ea99443fa2 2014-06-07        kinaba: 		for(int i=0; i<N; ++i)
ea99443fa2 2014-06-07        kinaba: 			tx.emplace_back(y[i], x[i]);
ea99443fa2 2014-06-07        kinaba: 		tx.emplace_back(0, 0);
ea99443fa2 2014-06-07        kinaba: 		sort(tx.begin(), tx.end());
ea99443fa2 2014-06-07        kinaba: 
ea99443fa2 2014-06-07        kinaba: 		vector<vector<int>> score_table(tx.size());
ea99443fa2 2014-06-07        kinaba: 		score_table[0].push_back(0);
ea99443fa2 2014-06-07        kinaba: 		int best_score = 0;
ea99443fa2 2014-06-07        kinaba: 		for(int c=1; c<tx.size(); ++c)
ea99443fa2 2014-06-07        kinaba: 		{
ea99443fa2 2014-06-07        kinaba: 			int pre = -1;
ea99443fa2 2014-06-07        kinaba: 			for(int bs=best_score; bs>=0; --bs) {
ea99443fa2 2014-06-07        kinaba: 				for(int p: score_table[bs])
ea99443fa2 2014-06-07        kinaba: 					if(tx[c].first - tx[p].first >=  abs(tx[c].second - tx[p].second))
ea99443fa2 2014-06-07        kinaba: 						{pre = bs; goto found_pre;}
ea99443fa2 2014-06-07        kinaba: 			}
ea99443fa2 2014-06-07        kinaba: 		found_pre:
ea99443fa2 2014-06-07        kinaba: 			if(pre>=0) {
ea99443fa2 2014-06-07        kinaba: 				score_table[pre+1].push_back(c);
ea99443fa2 2014-06-07        kinaba: 				best_score = max(best_score, pre+1);
ea99443fa2 2014-06-07        kinaba: 			}
ea99443fa2 2014-06-07        kinaba: 		}
ea99443fa2 2014-06-07        kinaba: 		return best_score;
ea99443fa2 2014-06-07        kinaba: 	}
ea99443fa2 2014-06-07        kinaba: };
ea99443fa2 2014-06-07        kinaba: 
ea99443fa2 2014-06-07        kinaba: // BEGIN CUT HERE
ea99443fa2 2014-06-07        kinaba: #include <ctime>
ea99443fa2 2014-06-07        kinaba: double start_time; string timer()
ea99443fa2 2014-06-07        kinaba:  { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
ea99443fa2 2014-06-07        kinaba: template<typename T> ostream& operator<<(ostream& os, const vector<T>& v)
ea99443fa2 2014-06-07        kinaba:  { os << "{ ";
ea99443fa2 2014-06-07        kinaba:    for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it)
ea99443fa2 2014-06-07        kinaba:    os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; }
ea99443fa2 2014-06-07        kinaba: void verify_case(const int& Expected, const int& Received) {
ea99443fa2 2014-06-07        kinaba:  bool ok = (Expected == Received);
ea99443fa2 2014-06-07        kinaba:  if(ok) cerr << "PASSED" << timer() << endl;  else { cerr << "FAILED" << timer() << endl;
ea99443fa2 2014-06-07        kinaba:  cerr << "\to: \"" << Expected << '\"' << endl << "\tx: \"" << Received << '\"' << endl; } }
ea99443fa2 2014-06-07        kinaba: #define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock();
ea99443fa2 2014-06-07        kinaba: #define END	 verify_case(_, CatchTheBeat().maxCatched(n, x0, y0, a, b, c, d, mod1, mod2, offset));}
ea99443fa2 2014-06-07        kinaba: int main(){
ea99443fa2 2014-06-07        kinaba: 
ea99443fa2 2014-06-07        kinaba: CASE(0)
ea99443fa2 2014-06-07        kinaba: 	int n = 3;
ea99443fa2 2014-06-07        kinaba: 	int x0 = 0;
ea99443fa2 2014-06-07        kinaba: 	int y0 = 0;
ea99443fa2 2014-06-07        kinaba: 	int a = 1;
ea99443fa2 2014-06-07        kinaba: 	int b = 1;
ea99443fa2 2014-06-07        kinaba: 	int c = 1;
ea99443fa2 2014-06-07        kinaba: 	int d = 1;
ea99443fa2 2014-06-07        kinaba: 	int mod1 = 100;
ea99443fa2 2014-06-07        kinaba: 	int mod2 = 100;
ea99443fa2 2014-06-07        kinaba: 	int offset = 1;
ea99443fa2 2014-06-07        kinaba: 	int _ = 2;
ea99443fa2 2014-06-07        kinaba: END
ea99443fa2 2014-06-07        kinaba: CASE(1)
ea99443fa2 2014-06-07        kinaba: 	int n = 1;
ea99443fa2 2014-06-07        kinaba: 	int x0 = 0;
ea99443fa2 2014-06-07        kinaba: 	int y0 = 1234;
ea99443fa2 2014-06-07        kinaba: 	int a = 0;
ea99443fa2 2014-06-07        kinaba: 	int b = 0;
ea99443fa2 2014-06-07        kinaba: 	int c = 0;
ea99443fa2 2014-06-07        kinaba: 	int d = 0;
ea99443fa2 2014-06-07        kinaba: 	int mod1 = 1000000000;
ea99443fa2 2014-06-07        kinaba: 	int mod2 = 1000000000;
ea99443fa2 2014-06-07        kinaba: 	int offset = 1000;
ea99443fa2 2014-06-07        kinaba: 	int _ = 1;
ea99443fa2 2014-06-07        kinaba: END
ea99443fa2 2014-06-07        kinaba: CASE(2)
ea99443fa2 2014-06-07        kinaba: 	int n = 1;
ea99443fa2 2014-06-07        kinaba: 	int x0 = 0;
ea99443fa2 2014-06-07        kinaba: 	int y0 = 999;
ea99443fa2 2014-06-07        kinaba: 	int a = 0;
ea99443fa2 2014-06-07        kinaba: 	int b = 0;
ea99443fa2 2014-06-07        kinaba: 	int c = 0;
ea99443fa2 2014-06-07        kinaba: 	int d = 0;
ea99443fa2 2014-06-07        kinaba: 	int mod1 = 1000000000;
ea99443fa2 2014-06-07        kinaba: 	int mod2 = 1000000000;
ea99443fa2 2014-06-07        kinaba: 	int offset = 1000;
ea99443fa2 2014-06-07        kinaba: 	int _ = 0;
ea99443fa2 2014-06-07        kinaba: END
ea99443fa2 2014-06-07        kinaba: CASE(3)
ea99443fa2 2014-06-07        kinaba: 	int n = 100;
ea99443fa2 2014-06-07        kinaba: 	int x0 = 0;
ea99443fa2 2014-06-07        kinaba: 	int y0 = 0;
ea99443fa2 2014-06-07        kinaba: 	int a = 1;
ea99443fa2 2014-06-07        kinaba: 	int b = 1;
ea99443fa2 2014-06-07        kinaba: 	int c = 1;
ea99443fa2 2014-06-07        kinaba: 	int d = 1;
ea99443fa2 2014-06-07        kinaba: 	int mod1 = 3;
ea99443fa2 2014-06-07        kinaba: 	int mod2 = 58585858;
ea99443fa2 2014-06-07        kinaba: 	int offset = 1;
ea99443fa2 2014-06-07        kinaba: 	int _ = 66;
ea99443fa2 2014-06-07        kinaba: END
ea99443fa2 2014-06-07        kinaba: CASE(4)
ea99443fa2 2014-06-07        kinaba: 	int n = 500000;
ea99443fa2 2014-06-07        kinaba: 	int x0 = 123456;
ea99443fa2 2014-06-07        kinaba: 	int y0 = 0;
ea99443fa2 2014-06-07        kinaba: 	int a = 1;
ea99443fa2 2014-06-07        kinaba: 	int b = 0;
ea99443fa2 2014-06-07        kinaba: 	int c = 1;
ea99443fa2 2014-06-07        kinaba: 	int d = 1;
ea99443fa2 2014-06-07        kinaba: 	int mod1 = 1000000000;
ea99443fa2 2014-06-07        kinaba: 	int mod2 = 1000000000;
ea99443fa2 2014-06-07        kinaba: 	int offset = 0;
ea99443fa2 2014-06-07        kinaba: 	int _ = 376544;
ea99443fa2 2014-06-07        kinaba: END
ea99443fa2 2014-06-07        kinaba: CASE(5)
ea99443fa2 2014-06-07        kinaba: 	int n = 500000;
ea99443fa2 2014-06-07        kinaba: 	int x0 = 0;
ea99443fa2 2014-06-07        kinaba: 	int y0 = 0;
ea99443fa2 2014-06-07        kinaba: 	int a = 0;
ea99443fa2 2014-06-07        kinaba: 	int b = 0;
ea99443fa2 2014-06-07        kinaba: 	int c = 0;
ea99443fa2 2014-06-07        kinaba: 	int d = 0;
ea99443fa2 2014-06-07        kinaba: 	int mod1 = 1;
ea99443fa2 2014-06-07        kinaba: 	int mod2 = 1;
ea99443fa2 2014-06-07        kinaba: 	int offset = 0;
ea99443fa2 2014-06-07        kinaba: 	int _ = 500000;
ea99443fa2 2014-06-07        kinaba: END
ea99443fa2 2014-06-07        kinaba: CASE(6)
ea99443fa2 2014-06-07        kinaba: 	int n = 10;
ea99443fa2 2014-06-07        kinaba: 	int x0 = 999999957;
ea99443fa2 2014-06-07        kinaba: 	int y0 = 79;
ea99443fa2 2014-06-07        kinaba: 	int a = 993948167;
ea99443fa2 2014-06-07        kinaba: 	int b = 24597383;
ea99443fa2 2014-06-07        kinaba: 	int c = 212151897;
ea99443fa2 2014-06-07        kinaba: 	int d = 999940854;
ea99443fa2 2014-06-07        kinaba: 	int mod1 = 999999986;
ea99443fa2 2014-06-07        kinaba: 	int mod2 = 999940855;
ea99443fa2 2014-06-07        kinaba: 	int offset = 3404;
ea99443fa2 2014-06-07        kinaba: 	int _ = 3;
ea99443fa2 2014-06-07        kinaba: END
ea99443fa2 2014-06-07        kinaba: /*
ea99443fa2 2014-06-07        kinaba: CASE(7)
ea99443fa2 2014-06-07        kinaba: 	int n = ;
ea99443fa2 2014-06-07        kinaba: 	int x0 = ;
ea99443fa2 2014-06-07        kinaba: 	int y0 = ;
ea99443fa2 2014-06-07        kinaba: 	int a = ;
ea99443fa2 2014-06-07        kinaba: 	int b = ;
ea99443fa2 2014-06-07        kinaba: 	int c = ;
ea99443fa2 2014-06-07        kinaba: 	int d = ;
ea99443fa2 2014-06-07        kinaba: 	int mod1 = ;
ea99443fa2 2014-06-07        kinaba: 	int mod2 = ;
ea99443fa2 2014-06-07        kinaba: 	int offset = ;
ea99443fa2 2014-06-07        kinaba: 	int _ = ;
ea99443fa2 2014-06-07        kinaba: END
ea99443fa2 2014-06-07        kinaba: CASE(8)
ea99443fa2 2014-06-07        kinaba: 	int n = ;
ea99443fa2 2014-06-07        kinaba: 	int x0 = ;
ea99443fa2 2014-06-07        kinaba: 	int y0 = ;
ea99443fa2 2014-06-07        kinaba: 	int a = ;
ea99443fa2 2014-06-07        kinaba: 	int b = ;
ea99443fa2 2014-06-07        kinaba: 	int c = ;
ea99443fa2 2014-06-07        kinaba: 	int d = ;
ea99443fa2 2014-06-07        kinaba: 	int mod1 = ;
ea99443fa2 2014-06-07        kinaba: 	int mod2 = ;
ea99443fa2 2014-06-07        kinaba: 	int offset = ;
ea99443fa2 2014-06-07        kinaba: 	int _ = ;
ea99443fa2 2014-06-07        kinaba: END
ea99443fa2 2014-06-07        kinaba: */
ea99443fa2 2014-06-07        kinaba: }
ea99443fa2 2014-06-07        kinaba: // END CUT HERE