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 ProductTriplet { public:
4fd800b3a8 2011-02-23        kinaba: 	long long countTriplets(int minx, int maxx, int miny, int maxy, int minz, int maxz)
4fd800b3a8 2011-02-23        kinaba: 	{
4fd800b3a8 2011-02-23        kinaba: 		return comp(minx, maxx, miny, maxy, maxz) - comp(minx, maxx, miny, maxy, minz-1);
4fd800b3a8 2011-02-23        kinaba: 	}
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 	LL comp(LL mx, LL Mx, LL my, LL My, LL Z)
4fd800b3a8 2011-02-23        kinaba: 	{
4fd800b3a8 2011-02-23        kinaba: 		LL cnt = 0;
4fd800b3a8 2011-02-23        kinaba: 		for(LL x=mx; x<=Mx; )
4fd800b3a8 2011-02-23        kinaba: 		{
4fd800b3a8 2011-02-23        kinaba: 			LL Cy = Z / x;
4fd800b3a8 2011-02-23        kinaba: 			if( Cy < my )
4fd800b3a8 2011-02-23        kinaba: 				break;
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 			// max n such that Cy == Z / x+n
4fd800b3a8 2011-02-23        kinaba: 			LL n = (Z/Cy)-x;
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 			n = min(n, Mx-x)+1;
4fd800b3a8 2011-02-23        kinaba: 			cnt += n * (min(Cy,My) - my + 1);
4fd800b3a8 2011-02-23        kinaba: 			x += n;
4fd800b3a8 2011-02-23        kinaba: 		}
4fd800b3a8 2011-02-23        kinaba: 		return cnt;
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(_, ProductTriplet().countTriplets(minx, maxx, miny, maxy, minz, maxz));}
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 minx = 2;
4fd800b3a8 2011-02-23        kinaba: 	int maxx = 2;
4fd800b3a8 2011-02-23        kinaba: 	int miny = 3;
4fd800b3a8 2011-02-23        kinaba: 	int maxy = 3;
4fd800b3a8 2011-02-23        kinaba: 	int minz = 6;
4fd800b3a8 2011-02-23        kinaba: 	int maxz = 6;
4fd800b3a8 2011-02-23        kinaba: 	long long _ = 1LL;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(1)
4fd800b3a8 2011-02-23        kinaba: 	int minx = 2;
4fd800b3a8 2011-02-23        kinaba: 	int maxx = 2;
4fd800b3a8 2011-02-23        kinaba: 	int miny = 3;
4fd800b3a8 2011-02-23        kinaba: 	int maxy = 3;
4fd800b3a8 2011-02-23        kinaba: 	int minz = 7;
4fd800b3a8 2011-02-23        kinaba: 	int maxz = 7;
4fd800b3a8 2011-02-23        kinaba: 	long long _ = 0LL;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(2)
4fd800b3a8 2011-02-23        kinaba: 	int minx = 6;
4fd800b3a8 2011-02-23        kinaba: 	int maxx = 8;
4fd800b3a8 2011-02-23        kinaba: 	int miny = 4;
4fd800b3a8 2011-02-23        kinaba: 	int maxy = 5;
4fd800b3a8 2011-02-23        kinaba: 	int minz = 27;
4fd800b3a8 2011-02-23        kinaba: 	int maxz = 35;
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 minx = 1;
4fd800b3a8 2011-02-23        kinaba: 	int maxx = 458;
4fd800b3a8 2011-02-23        kinaba: 	int miny = 1;
4fd800b3a8 2011-02-23        kinaba: 	int maxy = 458;
4fd800b3a8 2011-02-23        kinaba: 	int minz = 1;
4fd800b3a8 2011-02-23        kinaba: 	int maxz = 458;
4fd800b3a8 2011-02-23        kinaba: 	long long _ = 2877LL;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(4)
4fd800b3a8 2011-02-23        kinaba: 	int minx = 8176;
4fd800b3a8 2011-02-23        kinaba: 	int maxx = 184561;
4fd800b3a8 2011-02-23        kinaba: 	int miny = 1348;
4fd800b3a8 2011-02-23        kinaba: 	int maxy = 43168;
4fd800b3a8 2011-02-23        kinaba: 	int minz = 45814517;
4fd800b3a8 2011-02-23        kinaba: 	int maxz = 957843164;
4fd800b3a8 2011-02-23        kinaba: 	long long _ = 2365846085LL;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(5)
4fd800b3a8 2011-02-23        kinaba: 	int minx = 1;
4fd800b3a8 2011-02-23        kinaba: 	int maxx = 1;
4fd800b3a8 2011-02-23        kinaba: 	int miny = 1;
4fd800b3a8 2011-02-23        kinaba: 	int maxy = 1;
4fd800b3a8 2011-02-23        kinaba: 	int minz = 1;
4fd800b3a8 2011-02-23        kinaba: 	int maxz = 1;
4fd800b3a8 2011-02-23        kinaba: 	long long _ = 1LL;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(6)
4fd800b3a8 2011-02-23        kinaba: 	int minx = 1;
4fd800b3a8 2011-02-23        kinaba: 	int maxx = 1000000000;
4fd800b3a8 2011-02-23        kinaba: 	int miny = 1;
4fd800b3a8 2011-02-23        kinaba: 	int maxy = 1000000000;
4fd800b3a8 2011-02-23        kinaba: 	int minz = 1;
4fd800b3a8 2011-02-23        kinaba: 	int maxz = 1000000000;
4fd800b3a8 2011-02-23        kinaba: 	long long _ = -1LL;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: }
4fd800b3a8 2011-02-23        kinaba: // END CUT HERE