d921147eef 2012-07-01        kinaba: #include <iostream>
d921147eef 2012-07-01        kinaba: #include <sstream>
d921147eef 2012-07-01        kinaba: #include <iomanip>
d921147eef 2012-07-01        kinaba: #include <vector>
d921147eef 2012-07-01        kinaba: #include <string>
d921147eef 2012-07-01        kinaba: #include <map>
d921147eef 2012-07-01        kinaba: #include <set>
d921147eef 2012-07-01        kinaba: #include <algorithm>
d921147eef 2012-07-01        kinaba: #include <numeric>
d921147eef 2012-07-01        kinaba: #include <iterator>
d921147eef 2012-07-01        kinaba: #include <functional>
d921147eef 2012-07-01        kinaba: #include <complex>
d921147eef 2012-07-01        kinaba: #include <queue>
d921147eef 2012-07-01        kinaba: #include <stack>
d921147eef 2012-07-01        kinaba: #include <cmath>
d921147eef 2012-07-01        kinaba: #include <cassert>
d921147eef 2012-07-01        kinaba: using namespace std;
d921147eef 2012-07-01        kinaba: typedef long long LL;
d921147eef 2012-07-01        kinaba: typedef long double LD;
d921147eef 2012-07-01        kinaba: typedef complex<LD> CMP;
d921147eef 2012-07-01        kinaba: 
d921147eef 2012-07-01        kinaba: class Pillars { public:
d921147eef 2012-07-01        kinaba: 	double getExpectedLength(int w, int x, int y)
d921147eef 2012-07-01        kinaba: 	{
d921147eef 2012-07-01        kinaba: 		if(x>y) swap(x,y);
d921147eef 2012-07-01        kinaba: 
d921147eef 2012-07-01        kinaba: 		double e = 0;
d921147eef 2012-07-01        kinaba: 		int num = 1;
d921147eef 2012-07-01        kinaba: 		for(int y_minus_x=1-x; y_minus_x<=y-1; ++y_minus_x) {
d921147eef 2012-07-01        kinaba: 			e += hypot(y_minus_x, w) * num;
d921147eef 2012-07-01        kinaba: 			if(y_minus_x<0)
d921147eef 2012-07-01        kinaba: 				++num;
d921147eef 2012-07-01        kinaba: 			else if(y_minus_x >= y-x)
d921147eef 2012-07-01        kinaba: 				--num;
d921147eef 2012-07-01        kinaba: 		}
d921147eef 2012-07-01        kinaba: 		return e/y/x;
d921147eef 2012-07-01        kinaba: 	}
d921147eef 2012-07-01        kinaba: };
d921147eef 2012-07-01        kinaba: 
d921147eef 2012-07-01        kinaba: // BEGIN CUT HERE
d921147eef 2012-07-01        kinaba: #include <ctime>
d921147eef 2012-07-01        kinaba: double start_time; string timer()
d921147eef 2012-07-01        kinaba:  { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
d921147eef 2012-07-01        kinaba: template<typename T> ostream& operator<<(ostream& os, const vector<T>& v)
d921147eef 2012-07-01        kinaba:  { os << "{ ";
d921147eef 2012-07-01        kinaba:    for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it)
d921147eef 2012-07-01        kinaba:    os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; }
d921147eef 2012-07-01        kinaba: void verify_case(const double& Expected, const double& Received) {
d921147eef 2012-07-01        kinaba:  bool ok = (abs(Expected - Received) < 1e-9);
d921147eef 2012-07-01        kinaba:  if(ok) cerr << "PASSED" << timer() << endl;  else { cerr << "FAILED" << timer() << endl;
d921147eef 2012-07-01        kinaba:  cerr << "\to: \"" << Expected << '\"' << endl << "\tx: \"" << Received << '\"' << endl; } }
d921147eef 2012-07-01        kinaba: #define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock();
d921147eef 2012-07-01        kinaba: #define END	 verify_case(_, Pillars().getExpectedLength(w, x, y));}
d921147eef 2012-07-01        kinaba: int main(){
d921147eef 2012-07-01        kinaba: CASE(0)
d921147eef 2012-07-01        kinaba: 	int w = 1;
d921147eef 2012-07-01        kinaba: 	int x = 1;
d921147eef 2012-07-01        kinaba: 	int y = 1;
d921147eef 2012-07-01        kinaba: 	double _ = 1.0;
d921147eef 2012-07-01        kinaba: END
d921147eef 2012-07-01        kinaba: CASE(1)
d921147eef 2012-07-01        kinaba: 	int w = 1;
d921147eef 2012-07-01        kinaba: 	int x = 5;
d921147eef 2012-07-01        kinaba: 	int y = 1;
d921147eef 2012-07-01        kinaba: 	double _ = 2.387132965131785;
d921147eef 2012-07-01        kinaba: END
d921147eef 2012-07-01        kinaba: CASE(1)
d921147eef 2012-07-01        kinaba: 	int w = 1;
d921147eef 2012-07-01        kinaba: 	int x = 1;
d921147eef 2012-07-01        kinaba: 	int y = 5;
d921147eef 2012-07-01        kinaba: 	double _ = 2.387132965131785;
d921147eef 2012-07-01        kinaba: END
d921147eef 2012-07-01        kinaba: CASE(2)
d921147eef 2012-07-01        kinaba: 	int w = 2;
d921147eef 2012-07-01        kinaba: 	int x = 3;
d921147eef 2012-07-01        kinaba: 	int y = 15;
d921147eef 2012-07-01        kinaba: 	double _ = 6.737191281760445;
d921147eef 2012-07-01        kinaba: END
d921147eef 2012-07-01        kinaba: CASE(2)
d921147eef 2012-07-01        kinaba: 	int w = 2;
d921147eef 2012-07-01        kinaba: 	int x = 15;
d921147eef 2012-07-01        kinaba: 	int y = 3;
d921147eef 2012-07-01        kinaba: 	double _ = 6.737191281760445;
d921147eef 2012-07-01        kinaba: END
d921147eef 2012-07-01        kinaba: CASE(3)
d921147eef 2012-07-01        kinaba: 	int w = 10;
d921147eef 2012-07-01        kinaba: 	int x = 15;
d921147eef 2012-07-01        kinaba: 	int y = 23;
d921147eef 2012-07-01        kinaba: 	double _ = 12.988608956320535;
d921147eef 2012-07-01        kinaba: END
d921147eef 2012-07-01        kinaba: CASE(3)
d921147eef 2012-07-01        kinaba: 	int w = 10;
d921147eef 2012-07-01        kinaba: 	int x = 23;
d921147eef 2012-07-01        kinaba: 	int y = 15;
d921147eef 2012-07-01        kinaba: 	double _ = 12.988608956320535;
d921147eef 2012-07-01        kinaba: END
d921147eef 2012-07-01        kinaba: CASE(4)
d921147eef 2012-07-01        kinaba: 	int w = 1000;
d921147eef 2012-07-01        kinaba: 	int x = 100000;
d921147eef 2012-07-01        kinaba: 	int y = 100000;
d921147eef 2012-07-01        kinaba: 	double _ = -1;
d921147eef 2012-07-01        kinaba: END
d921147eef 2012-07-01        kinaba: CASE(5)
d921147eef 2012-07-01        kinaba: 	int w = 1;
d921147eef 2012-07-01        kinaba: 	int x = 1;
d921147eef 2012-07-01        kinaba: 	int y = 1;
d921147eef 2012-07-01        kinaba: 	double _ = 1;
d921147eef 2012-07-01        kinaba: END
d921147eef 2012-07-01        kinaba: 
d921147eef 2012-07-01        kinaba: }
d921147eef 2012-07-01        kinaba: // END CUT HERE