d6047a481e 2014-07-05        kinaba: #include <iostream>
d6047a481e 2014-07-05        kinaba: #include <sstream>
d6047a481e 2014-07-05        kinaba: #include <iomanip>
d6047a481e 2014-07-05        kinaba: #include <vector>
d6047a481e 2014-07-05        kinaba: #include <string>
d6047a481e 2014-07-05        kinaba: #include <map>
d6047a481e 2014-07-05        kinaba: #include <set>
d6047a481e 2014-07-05        kinaba: #include <algorithm>
d6047a481e 2014-07-05        kinaba: #include <numeric>
d6047a481e 2014-07-05        kinaba: #include <iterator>
d6047a481e 2014-07-05        kinaba: #include <functional>
d6047a481e 2014-07-05        kinaba: #include <complex>
d6047a481e 2014-07-05        kinaba: #include <queue>
d6047a481e 2014-07-05        kinaba: #include <stack>
d6047a481e 2014-07-05        kinaba: #include <cmath>
d6047a481e 2014-07-05        kinaba: #include <cassert>
d6047a481e 2014-07-05        kinaba: #include <tuple>
d6047a481e 2014-07-05        kinaba: using namespace std;
d6047a481e 2014-07-05        kinaba: typedef long long LL;
d6047a481e 2014-07-05        kinaba: typedef complex<double> CMP;
d6047a481e 2014-07-05        kinaba: 
d6047a481e 2014-07-05        kinaba: static const unsigned MODVAL = 1000000007;
d6047a481e 2014-07-05        kinaba: struct mint
d6047a481e 2014-07-05        kinaba: {
d6047a481e 2014-07-05        kinaba: 	unsigned val;
d6047a481e 2014-07-05        kinaba: 	mint():val(0){}
d6047a481e 2014-07-05        kinaba: 	mint(int      x):val(x%MODVAL) {}
d6047a481e 2014-07-05        kinaba: 	mint(unsigned x):val(x%MODVAL) {}
d6047a481e 2014-07-05        kinaba: 	mint(LL       x):val(x%MODVAL) {}
d6047a481e 2014-07-05        kinaba: };
d6047a481e 2014-07-05        kinaba: mint& operator+=(mint& x, mint y) { return x = x.val+y.val; }
d6047a481e 2014-07-05        kinaba: mint& operator*=(mint& x, mint y) { return x = LL(x.val)*y.val; }
d6047a481e 2014-07-05        kinaba: mint operator+(mint x, mint y) { return x+=y; }
d6047a481e 2014-07-05        kinaba: mint operator*(mint x, mint y) { return x*=y; }
d6047a481e 2014-07-05        kinaba: 
d6047a481e 2014-07-05        kinaba: int gcd(int a, int b)
d6047a481e 2014-07-05        kinaba: {
d6047a481e 2014-07-05        kinaba: 	while(a)
d6047a481e 2014-07-05        kinaba: 		swap(a, b%=a);
d6047a481e 2014-07-05        kinaba: 	return b;
d6047a481e 2014-07-05        kinaba: }
d6047a481e 2014-07-05        kinaba: 
d6047a481e 2014-07-05        kinaba: class ReflectiveRectangle { public:
d6047a481e 2014-07-05        kinaba: 	int findSum(int A, int B, int bounces)
d6047a481e 2014-07-05        kinaba: 	{
d6047a481e 2014-07-05        kinaba: 		if(bounces%2 == 1)
d6047a481e 2014-07-05        kinaba: 			return 0;
d6047a481e 2014-07-05        kinaba: 		if(bounces == 0)
d6047a481e 2014-07-05        kinaba: 			return (mint(A)*A+mint(B)*B).val;
d6047a481e 2014-07-05        kinaba: 
d6047a481e 2014-07-05        kinaba: 		mint sh;
d6047a481e 2014-07-05        kinaba: 		for(int h=1; h<bounces+2; h+=2) {
d6047a481e 2014-07-05        kinaba: 			if(gcd(h, bounces+2) == 1)
d6047a481e 2014-07-05        kinaba: 				sh += LL(h)*h;
d6047a481e 2014-07-05        kinaba: 		}
d6047a481e 2014-07-05        kinaba: 		// solution: Sigma(h*h) - Sigma_divisors(h*h) ?
d6047a481e 2014-07-05        kinaba: 		// but no time to code......
d6047a481e 2014-07-05        kinaba: 
d6047a481e 2014-07-05        kinaba: 		return (sh*A*A+sh*B*B).val;
d6047a481e 2014-07-05        kinaba: 	}
d6047a481e 2014-07-05        kinaba: };
d6047a481e 2014-07-05        kinaba: 
d6047a481e 2014-07-05        kinaba: // BEGIN CUT HERE
d6047a481e 2014-07-05        kinaba: #include <ctime>
d6047a481e 2014-07-05        kinaba: double start_time; string timer()
d6047a481e 2014-07-05        kinaba:  { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
d6047a481e 2014-07-05        kinaba: template<typename T> ostream& operator<<(ostream& os, const vector<T>& v)
d6047a481e 2014-07-05        kinaba:  { os << "{ ";
d6047a481e 2014-07-05        kinaba:    for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it)
d6047a481e 2014-07-05        kinaba:    os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; }
d6047a481e 2014-07-05        kinaba: void verify_case(const int& Expected, const int& Received) {
d6047a481e 2014-07-05        kinaba:  bool ok = (Expected == Received);
d6047a481e 2014-07-05        kinaba:  if(ok) cerr << "PASSED" << timer() << endl;  else { cerr << "FAILED" << timer() << endl;
d6047a481e 2014-07-05        kinaba:  cerr << "\to: \"" << Expected << '\"' << endl << "\tx: \"" << Received << '\"' << endl; } }
d6047a481e 2014-07-05        kinaba: #define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock();
d6047a481e 2014-07-05        kinaba: #define END	 verify_case(_, ReflectiveRectangle().findSum(sideA, sideB, bounces));}
d6047a481e 2014-07-05        kinaba: int main(){
d6047a481e 2014-07-05        kinaba: 
d6047a481e 2014-07-05        kinaba: CASE(0)
d6047a481e 2014-07-05        kinaba: 	int sideA = 3;
d6047a481e 2014-07-05        kinaba: 	int sideB = 4;
d6047a481e 2014-07-05        kinaba: 	int bounces = 0;
d6047a481e 2014-07-05        kinaba: 	int _ = 25;
d6047a481e 2014-07-05        kinaba: END
d6047a481e 2014-07-05        kinaba: CASE(1)
d6047a481e 2014-07-05        kinaba: 	int sideA = 3;
d6047a481e 2014-07-05        kinaba: 	int sideB = 3;
d6047a481e 2014-07-05        kinaba: 	int bounces = 2;
d6047a481e 2014-07-05        kinaba: 	int _ = 180;
d6047a481e 2014-07-05        kinaba: END
d6047a481e 2014-07-05        kinaba: CASE(2)
d6047a481e 2014-07-05        kinaba: 	int sideA = 13;
d6047a481e 2014-07-05        kinaba: 	int sideB = 17;
d6047a481e 2014-07-05        kinaba: 	int bounces = 1;
d6047a481e 2014-07-05        kinaba: 	int _ = 0;
d6047a481e 2014-07-05        kinaba: END
d6047a481e 2014-07-05        kinaba: CASE(3)
d6047a481e 2014-07-05        kinaba: 	int sideA = 59325;
d6047a481e 2014-07-05        kinaba: 	int sideB = 31785;
d6047a481e 2014-07-05        kinaba: 	int bounces = 262142;
d6047a481e 2014-07-05        kinaba: 	int _ = 48032850;
d6047a481e 2014-07-05        kinaba: END
d6047a481e 2014-07-05        kinaba: CASE(4)
d6047a481e 2014-07-05        kinaba: 	int sideA = 1000000;
d6047a481e 2014-07-05        kinaba: 	int sideB = 1000000;
d6047a481e 2014-07-05        kinaba: 	int bounces = 1000000000;
d6047a481e 2014-07-05        kinaba: 	int _ = 145972110;
d6047a481e 2014-07-05        kinaba: END
d6047a481e 2014-07-05        kinaba: /*
d6047a481e 2014-07-05        kinaba: CASE(5)
d6047a481e 2014-07-05        kinaba: 	int sideA = ;
d6047a481e 2014-07-05        kinaba: 	int sideB = ;
d6047a481e 2014-07-05        kinaba: 	int bounces = ;
d6047a481e 2014-07-05        kinaba: 	int _ = ;
d6047a481e 2014-07-05        kinaba: END
d6047a481e 2014-07-05        kinaba: CASE(6)
d6047a481e 2014-07-05        kinaba: 	int sideA = ;
d6047a481e 2014-07-05        kinaba: 	int sideB = ;
d6047a481e 2014-07-05        kinaba: 	int bounces = ;
d6047a481e 2014-07-05        kinaba: 	int _ = ;
d6047a481e 2014-07-05        kinaba: END
d6047a481e 2014-07-05        kinaba: */
d6047a481e 2014-07-05        kinaba: }
d6047a481e 2014-07-05        kinaba: // END CUT HERE