a6b1fd4985 2011-09-28        kinaba: #include <iostream>
a6b1fd4985 2011-09-28        kinaba: #include <sstream>
a6b1fd4985 2011-09-28        kinaba: #include <iomanip>
a6b1fd4985 2011-09-28        kinaba: #include <vector>
a6b1fd4985 2011-09-28        kinaba: #include <string>
a6b1fd4985 2011-09-28        kinaba: #include <map>
a6b1fd4985 2011-09-28        kinaba: #include <set>
a6b1fd4985 2011-09-28        kinaba: #include <algorithm>
a6b1fd4985 2011-09-28        kinaba: #include <numeric>
a6b1fd4985 2011-09-28        kinaba: #include <iterator>
a6b1fd4985 2011-09-28        kinaba: #include <functional>
a6b1fd4985 2011-09-28        kinaba: #include <complex>
a6b1fd4985 2011-09-28        kinaba: #include <queue>
a6b1fd4985 2011-09-28        kinaba: #include <valarray>
a6b1fd4985 2011-09-28        kinaba: #include <stack>
a6b1fd4985 2011-09-28        kinaba: #include <cmath>
a6b1fd4985 2011-09-28        kinaba: #include <cassert>
a6b1fd4985 2011-09-28        kinaba: #include <cstring>
a6b1fd4985 2011-09-28        kinaba: using namespace std;
a6b1fd4985 2011-09-28        kinaba: typedef long long LL;
a6b1fd4985 2011-09-28        kinaba: typedef complex<double> CMP;
a6b1fd4985 2011-09-28        kinaba: 
a6b1fd4985 2011-09-28        kinaba: static const int MODVAL = 1000000007;
a6b1fd4985 2011-09-28        kinaba: struct mint
a6b1fd4985 2011-09-28        kinaba: {
a6b1fd4985 2011-09-28        kinaba: 	int val;
a6b1fd4985 2011-09-28        kinaba: 	mint():val(0){}
a6b1fd4985 2011-09-28        kinaba: 	mint(int    x):val(x%MODVAL) {}
a6b1fd4985 2011-09-28        kinaba: 	mint(size_t x):val(x%MODVAL) {}
a6b1fd4985 2011-09-28        kinaba: 	mint(LL     x):val(x%MODVAL) {}
a6b1fd4985 2011-09-28        kinaba: };
a6b1fd4985 2011-09-28        kinaba: mint& operator+=(mint& x, mint y) { return x = x.val+y.val; }
a6b1fd4985 2011-09-28        kinaba: mint& operator-=(mint& x, mint y) { return x = x.val-y.val+MODVAL; }
a6b1fd4985 2011-09-28        kinaba: mint& operator*=(mint& x, mint y) { return x = LL(x.val)*y.val; }
a6b1fd4985 2011-09-28        kinaba: mint POW(mint x, LL e) { mint v=1; for(;e;x*=x,e>>=1) if(e&1) v*=x; return v; }
a6b1fd4985 2011-09-28        kinaba: mint& operator/=(mint& x, mint y) { return x *= POW(y, MODVAL-2); }
a6b1fd4985 2011-09-28        kinaba: mint operator+(mint x, mint y) { return x+=y; }
a6b1fd4985 2011-09-28        kinaba: mint operator-(mint x, mint y) { return x-=y; }
a6b1fd4985 2011-09-28        kinaba: mint operator*(mint x, mint y) { return x*=y; }
a6b1fd4985 2011-09-28        kinaba: mint operator/(mint x, mint y) { return x/=y; }
a6b1fd4985 2011-09-28        kinaba: mint inv2 = mint(1) / 2;
a6b1fd4985 2011-09-28        kinaba: 
a6b1fd4985 2011-09-28        kinaba: class Nim { public:
a6b1fd4985 2011-09-28        kinaba: 	int count(int K, int L)
a6b1fd4985 2011-09-28        kinaba: 	{
a6b1fd4985 2011-09-28        kinaba: 		valarray<mint> v(65536);
a6b1fd4985 2011-09-28        kinaba: 		v[slice(2,L-1,1)] = 1;
a6b1fd4985 2011-09-28        kinaba: 		for(unsigned p=2; p<=L; ++p)
a6b1fd4985 2011-09-28        kinaba: 			if( v[p].val )
a6b1fd4985 2011-09-28        kinaba: 				for(unsigned q=p*p; q<=L; q+=p)
a6b1fd4985 2011-09-28        kinaba: 					v[q] = 0;
a6b1fd4985 2011-09-28        kinaba: 
a6b1fd4985 2011-09-28        kinaba: 		pre(v, 0, 65536);
a6b1fd4985 2011-09-28        kinaba: 		valarray<mint> a(1, 65536);
a6b1fd4985 2011-09-28        kinaba: 		for(int i=1; i<=K; i<<=1, v*=v)
a6b1fd4985 2011-09-28        kinaba: 			if( K & i )
a6b1fd4985 2011-09-28        kinaba: 				a *= v;
a6b1fd4985 2011-09-28        kinaba: 		post(a, 0, 65536);
a6b1fd4985 2011-09-28        kinaba: 		return a[0].val;
a6b1fd4985 2011-09-28        kinaba: 	}
a6b1fd4985 2011-09-28        kinaba: 
a6b1fd4985 2011-09-28        kinaba: 	void pre(valarray<mint>& v, int s, int e)
a6b1fd4985 2011-09-28        kinaba: 	{
a6b1fd4985 2011-09-28        kinaba: 		if( s+1 == e )
a6b1fd4985 2011-09-28        kinaba: 			return;
a6b1fd4985 2011-09-28        kinaba: 		int m = (s+e)/2;
a6b1fd4985 2011-09-28        kinaba: 		pre(v, s, m);
a6b1fd4985 2011-09-28        kinaba: 		pre(v, m, e);
a6b1fd4985 2011-09-28        kinaba: 		for(int i=s,j=m; i<m; ++i,++j) {
a6b1fd4985 2011-09-28        kinaba: 			mint vi=v[i], vj=v[j];
a6b1fd4985 2011-09-28        kinaba: 			v[i] = vi - vj;
a6b1fd4985 2011-09-28        kinaba: 			v[j] = vi + vj;
a6b1fd4985 2011-09-28        kinaba: 		}
a6b1fd4985 2011-09-28        kinaba: 	}
a6b1fd4985 2011-09-28        kinaba: 
a6b1fd4985 2011-09-28        kinaba: 	void post(valarray<mint>& v, int s, int e)
a6b1fd4985 2011-09-28        kinaba: 	{
a6b1fd4985 2011-09-28        kinaba: 		if( s+1 == e )
a6b1fd4985 2011-09-28        kinaba: 			return;
a6b1fd4985 2011-09-28        kinaba: 		int m = (s+e)/2;
a6b1fd4985 2011-09-28        kinaba: 		for(int i=s,j=m; i<m; ++i,++j) {
a6b1fd4985 2011-09-28        kinaba: 			mint dif=v[i], sum=v[j];
a6b1fd4985 2011-09-28        kinaba: 			v[i] = (sum + dif) * inv2;
a6b1fd4985 2011-09-28        kinaba: 			v[j] = (sum - dif) * inv2;
a6b1fd4985 2011-09-28        kinaba: 		}
a6b1fd4985 2011-09-28        kinaba: 		post(v, s, m);
a6b1fd4985 2011-09-28        kinaba: 		post(v, m, e);
a6b1fd4985 2011-09-28        kinaba: 	}
a6b1fd4985 2011-09-28        kinaba: };
a6b1fd4985 2011-09-28        kinaba: 
a6b1fd4985 2011-09-28        kinaba: // BEGIN CUT HERE
a6b1fd4985 2011-09-28        kinaba: #include <ctime>
a6b1fd4985 2011-09-28        kinaba: double start_time; string timer()
a6b1fd4985 2011-09-28        kinaba:  { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
a6b1fd4985 2011-09-28        kinaba: template<typename T> ostream& operator<<(ostream& os, const vector<T>& v)
a6b1fd4985 2011-09-28        kinaba:  { os << "{ ";
a6b1fd4985 2011-09-28        kinaba:    for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it)
a6b1fd4985 2011-09-28        kinaba:    os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; }
a6b1fd4985 2011-09-28        kinaba: void verify_case(const int& Expected, const int& Received) {
a6b1fd4985 2011-09-28        kinaba:  bool ok = (Expected == Received);
a6b1fd4985 2011-09-28        kinaba:  if(ok) cerr << "PASSED" << timer() << endl;  else { cerr << "FAILED" << timer() << endl;
a6b1fd4985 2011-09-28        kinaba:  cerr << "\to: \"" << Expected << '\"' << endl << "\tx: \"" << Received << '\"' << endl; } }
a6b1fd4985 2011-09-28        kinaba: #define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock();
a6b1fd4985 2011-09-28        kinaba: #define END	 verify_case(_, Nim().count(K, L));}
a6b1fd4985 2011-09-28        kinaba: int main(){
a6b1fd4985 2011-09-28        kinaba: 
a6b1fd4985 2011-09-28        kinaba: CASE(0)
a6b1fd4985 2011-09-28        kinaba: 	int K = 3;
a6b1fd4985 2011-09-28        kinaba: 	int L = 7;
a6b1fd4985 2011-09-28        kinaba: 	int _ = 6;
a6b1fd4985 2011-09-28        kinaba: END
a6b1fd4985 2011-09-28        kinaba: CASE(1)
a6b1fd4985 2011-09-28        kinaba: 	int K = 4;
a6b1fd4985 2011-09-28        kinaba: 	int L = 13;
a6b1fd4985 2011-09-28        kinaba: 	int _ = 120;
a6b1fd4985 2011-09-28        kinaba: END
a6b1fd4985 2011-09-28        kinaba: CASE(2)
a6b1fd4985 2011-09-28        kinaba: 	int K = 10;
a6b1fd4985 2011-09-28        kinaba: 	int L = 100;
a6b1fd4985 2011-09-28        kinaba: 	int _ = 294844622;
a6b1fd4985 2011-09-28        kinaba: END
a6b1fd4985 2011-09-28        kinaba: CASE(3)
a6b1fd4985 2011-09-28        kinaba: 	int K = 123456789;
a6b1fd4985 2011-09-28        kinaba: 	int L = 12345;
a6b1fd4985 2011-09-28        kinaba: 	int _ = 235511047;
a6b1fd4985 2011-09-28        kinaba: END
a6b1fd4985 2011-09-28        kinaba: CASE(4)
a6b1fd4985 2011-09-28        kinaba: 	int K = 1000000000;
a6b1fd4985 2011-09-28        kinaba: 	int L = 50000;
a6b1fd4985 2011-09-28        kinaba: 	int _ = 428193537;
a6b1fd4985 2011-09-28        kinaba: END
a6b1fd4985 2011-09-28        kinaba: /*
a6b1fd4985 2011-09-28        kinaba: CASE(5)
a6b1fd4985 2011-09-28        kinaba: 	int K = ;
a6b1fd4985 2011-09-28        kinaba: 	int L = ;
a6b1fd4985 2011-09-28        kinaba: 	int _ = ;
a6b1fd4985 2011-09-28        kinaba: END
a6b1fd4985 2011-09-28        kinaba: */
a6b1fd4985 2011-09-28        kinaba: }
a6b1fd4985 2011-09-28        kinaba: // END CUT HERE