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 Aircraft { public:
4fd800b3a8 2011-02-23        kinaba: 	double f(const double p[], const double v[], double t)
4fd800b3a8 2011-02-23        kinaba: 	{
4fd800b3a8 2011-02-23        kinaba: 		return sqrt( (p[0]+t*v[0])*(p[0]+t*v[0]) + (p[1]+t*v[1])*(p[1]+t*v[1]) + (p[2]+t*v[2])*(p[2]+t*v[2]) );
4fd800b3a8 2011-02-23        kinaba: 	}
4fd800b3a8 2011-02-23        kinaba: 	string nearMiss(vector <int> p1, vector <int> v1, vector <int> p2, vector <int> v2, int R)
4fd800b3a8 2011-02-23        kinaba: 	{
4fd800b3a8 2011-02-23        kinaba: 		const double p[] = {p1[0]-p2[0], p1[1]-p2[1], p1[2]-p2[2]};
4fd800b3a8 2011-02-23        kinaba: 		const double v[] = {v1[0]-v2[0], v1[1]-v2[1], v1[2]-v2[2]};
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 		double x = 0.0;
4fd800b3a8 2011-02-23        kinaba: 		double w = 1e+10;
4fd800b3a8 2011-02-23        kinaba: 		for(int k=0; k<1000000; ++k)
4fd800b3a8 2011-02-23        kinaba: 		{
4fd800b3a8 2011-02-23        kinaba: 			double y = 2*x/3 + w/3;
4fd800b3a8 2011-02-23        kinaba: 			double z = x/3 + 2*w/3;
4fd800b3a8 2011-02-23        kinaba: 			double fx = f(p,v,x);
4fd800b3a8 2011-02-23        kinaba: 			double fy = f(p,v,y);
4fd800b3a8 2011-02-23        kinaba: 			double fz = f(p,v,z);
4fd800b3a8 2011-02-23        kinaba: 			double fw = f(p,v,w);
4fd800b3a8 2011-02-23        kinaba: 			if( fx < fy )
4fd800b3a8 2011-02-23        kinaba: 				w = y;
4fd800b3a8 2011-02-23        kinaba: 			else if( fz > fw )
4fd800b3a8 2011-02-23        kinaba: 				x = z;
4fd800b3a8 2011-02-23        kinaba: 			else if( fy < fz )
4fd800b3a8 2011-02-23        kinaba: 				w = z;
4fd800b3a8 2011-02-23        kinaba: 			else
4fd800b3a8 2011-02-23        kinaba: 				x = y;
4fd800b3a8 2011-02-23        kinaba: 		}
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 		return f(p,v,x)-0.000001<=R ? "YES" : "NO";
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 string& Expected, const string& 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(_, Aircraft().nearMiss(p1, v1, p2, v2, R));}
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 p1_[] = {15,50,5};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> p1(p1_, p1_+sizeof(p1_)/sizeof(*p1_));
4fd800b3a8 2011-02-23        kinaba: 	int v1_[] = {25,1,0};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> v1(v1_, v1_+sizeof(v1_)/sizeof(*v1_));
4fd800b3a8 2011-02-23        kinaba: 	int p2_[] = {161,102,9};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> p2(p2_, p2_+sizeof(p2_)/sizeof(*p2_));
4fd800b3a8 2011-02-23        kinaba: 	int v2_[] = {-10,-10,-1};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> v2(v2_, v2_+sizeof(v2_)/sizeof(*v2_));
4fd800b3a8 2011-02-23        kinaba: 	int R = 10;
4fd800b3a8 2011-02-23        kinaba: 	string _ = "YES";
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(1)
4fd800b3a8 2011-02-23        kinaba: 	int p1_[] = {0,0,0};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> p1(p1_, p1_+sizeof(p1_)/sizeof(*p1_));
4fd800b3a8 2011-02-23        kinaba: 	int v1_[] = {2,2,0};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> v1(v1_, v1_+sizeof(v1_)/sizeof(*v1_));
4fd800b3a8 2011-02-23        kinaba: 	int p2_[] = {9,0,5};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> p2(p2_, p2_+sizeof(p2_)/sizeof(*p2_));
4fd800b3a8 2011-02-23        kinaba: 	int v2_[] = {-2,2,0};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> v2(v2_, v2_+sizeof(v2_)/sizeof(*v2_));
4fd800b3a8 2011-02-23        kinaba: 	int R = 5;
4fd800b3a8 2011-02-23        kinaba: 	string _ = "YES";
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(2)
4fd800b3a8 2011-02-23        kinaba: 	int p1_[] = {0,0,0};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> p1(p1_, p1_+sizeof(p1_)/sizeof(*p1_));
4fd800b3a8 2011-02-23        kinaba: 	int v1_[] = {-2,2,0};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> v1(v1_, v1_+sizeof(v1_)/sizeof(*v1_));
4fd800b3a8 2011-02-23        kinaba: 	int p2_[] = {9,0,5};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> p2(p2_, p2_+sizeof(p2_)/sizeof(*p2_));
4fd800b3a8 2011-02-23        kinaba: 	int v2_[] = {2,2,0};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> v2(v2_, v2_+sizeof(v2_)/sizeof(*v2_));
4fd800b3a8 2011-02-23        kinaba: 	int R = 5;
4fd800b3a8 2011-02-23        kinaba: 	string _ = "NO";
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(3)
4fd800b3a8 2011-02-23        kinaba: 	int p1_[] = {-2838,-7940,-2936};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> p1(p1_, p1_+sizeof(p1_)/sizeof(*p1_));
4fd800b3a8 2011-02-23        kinaba: 	int v1_[] = {1,1,-2};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> v1(v1_, v1_+sizeof(v1_)/sizeof(*v1_));
4fd800b3a8 2011-02-23        kinaba: 	int p2_[] = {532,3850,9590};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> p2(p2_, p2_+sizeof(p2_)/sizeof(*p2_));
4fd800b3a8 2011-02-23        kinaba: 	int v2_[] = {1,0,-3};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> v2(v2_, v2_+sizeof(v2_)/sizeof(*v2_));
4fd800b3a8 2011-02-23        kinaba: 	int R = 3410;
4fd800b3a8 2011-02-23        kinaba: 	string _ = "YES";
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(4)
4fd800b3a8 2011-02-23        kinaba: 	int p1_[] = {-8509,9560,345};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> p1(p1_, p1_+sizeof(p1_)/sizeof(*p1_));
4fd800b3a8 2011-02-23        kinaba: 	int v1_[] = {-89,-33,62};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> v1(v1_, v1_+sizeof(v1_)/sizeof(*v1_));
4fd800b3a8 2011-02-23        kinaba: 	int p2_[] = {-5185,-1417,2846};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> p2(p2_, p2_+sizeof(p2_)/sizeof(*p2_));
4fd800b3a8 2011-02-23        kinaba: 	int v2_[] = {-58,24,26};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> v2(v2_, v2_+sizeof(v2_)/sizeof(*v2_));
4fd800b3a8 2011-02-23        kinaba: 	int R = 8344;
4fd800b3a8 2011-02-23        kinaba: 	string _ = "YES";
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(5)
4fd800b3a8 2011-02-23        kinaba: 	int p1_[] = {-7163,-371,-2459};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> p1(p1_, p1_+sizeof(p1_)/sizeof(*p1_));
4fd800b3a8 2011-02-23        kinaba: 	int v1_[] = {-59,-41,-14};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> v1(v1_, v1_+sizeof(v1_)/sizeof(*v1_));
4fd800b3a8 2011-02-23        kinaba: 	int p2_[] = {-2398,-426,-5487};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> p2(p2_, p2_+sizeof(p2_)/sizeof(*p2_));
4fd800b3a8 2011-02-23        kinaba: 	int v2_[] = {-43,27,67};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> v2(v2_, v2_+sizeof(v2_)/sizeof(*v2_));
4fd800b3a8 2011-02-23        kinaba: 	int R = 5410;
4fd800b3a8 2011-02-23        kinaba: 	string _ = "NO";
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(6)
4fd800b3a8 2011-02-23        kinaba: 	int p1_[] = {1774,-4491,7810};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> p1(p1_, p1_+sizeof(p1_)/sizeof(*p1_));
4fd800b3a8 2011-02-23        kinaba: 	int v1_[] = {-12,19,-24};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> v1(v1_, v1_+sizeof(v1_)/sizeof(*v1_));
4fd800b3a8 2011-02-23        kinaba: 	int p2_[] = {2322,3793,9897};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> p2(p2_, p2_+sizeof(p2_)/sizeof(*p2_));
4fd800b3a8 2011-02-23        kinaba: 	int v2_[] = {-12,19,-24};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> v2(v2_, v2_+sizeof(v2_)/sizeof(*v2_));
4fd800b3a8 2011-02-23        kinaba: 	int R = 10000;
4fd800b3a8 2011-02-23        kinaba: 	string _ = "YES";
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(7)
4fd800b3a8 2011-02-23        kinaba: 	int p1_[] = {3731,8537,5661};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> p1(p1_, p1_+sizeof(p1_)/sizeof(*p1_));
4fd800b3a8 2011-02-23        kinaba: 	int v1_[] = {-70,71,32};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> v1(v1_, v1_+sizeof(v1_)/sizeof(*v1_));
4fd800b3a8 2011-02-23        kinaba: 	int p2_[] = {8701,-1886,-5115};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> p2(p2_, p2_+sizeof(p2_)/sizeof(*p2_));
4fd800b3a8 2011-02-23        kinaba: 	int v2_[] = {28,-13,7};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> v2(v2_, v2_+sizeof(v2_)/sizeof(*v2_));
4fd800b3a8 2011-02-23        kinaba: 	int R = 9766;
4fd800b3a8 2011-02-23        kinaba: 	string _ = "NO";
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(8)
4fd800b3a8 2011-02-23        kinaba: 	int p1_[] = {0,0,0};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> p1(p1_, p1_+sizeof(p1_)/sizeof(*p1_));
4fd800b3a8 2011-02-23        kinaba: 	int v1_[] = {0,0,0};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> v1(v1_, v1_+sizeof(v1_)/sizeof(*v1_));
4fd800b3a8 2011-02-23        kinaba: 	int p2_[] = {1,0,0};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> p2(p2_, p2_+sizeof(p2_)/sizeof(*p2_));
4fd800b3a8 2011-02-23        kinaba: 	int v2_[] = {0,0,0};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> v2(v2_, v2_+sizeof(v2_)/sizeof(*v2_));
4fd800b3a8 2011-02-23        kinaba: 	int R = 1;
4fd800b3a8 2011-02-23        kinaba: 	string _ = "YES";
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(9)
4fd800b3a8 2011-02-23        kinaba: 	int p1_[] = {0,0,0};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> p1(p1_, p1_+sizeof(p1_)/sizeof(*p1_));
4fd800b3a8 2011-02-23        kinaba: 	int v1_[] = {0,0,0};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> v1(v1_, v1_+sizeof(v1_)/sizeof(*v1_));
4fd800b3a8 2011-02-23        kinaba: 	int p2_[] = {2,0,0};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> p2(p2_, p2_+sizeof(p2_)/sizeof(*p2_));
4fd800b3a8 2011-02-23        kinaba: 	int v2_[] = {0,0,0};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> v2(v2_, v2_+sizeof(v2_)/sizeof(*v2_));
4fd800b3a8 2011-02-23        kinaba: 	int R = 1;
4fd800b3a8 2011-02-23        kinaba: 	string _ = "NO";
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: }
4fd800b3a8 2011-02-23        kinaba: // END CUT HERE