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7fcb6bef04 2014-01-06        kinaba: #include <iostream>
7fcb6bef04 2014-01-06        kinaba: #include <sstream>
7fcb6bef04 2014-01-06        kinaba: #include <iomanip>
7fcb6bef04 2014-01-06        kinaba: #include <vector>
7fcb6bef04 2014-01-06        kinaba: #include <string>
7fcb6bef04 2014-01-06        kinaba: #include <map>
7fcb6bef04 2014-01-06        kinaba: #include <set>
7fcb6bef04 2014-01-06        kinaba: #include <algorithm>
7fcb6bef04 2014-01-06        kinaba: #include <numeric>
7fcb6bef04 2014-01-06        kinaba: #include <iterator>
7fcb6bef04 2014-01-06        kinaba: #include <functional>
7fcb6bef04 2014-01-06        kinaba: #include <complex>
7fcb6bef04 2014-01-06        kinaba: #include <queue>
7fcb6bef04 2014-01-06        kinaba: #include <stack>
7fcb6bef04 2014-01-06        kinaba: #include <cmath>
7fcb6bef04 2014-01-06        kinaba: #include <cassert>
7fcb6bef04 2014-01-06        kinaba: #include <tuple>
7fcb6bef04 2014-01-06        kinaba: using namespace std;
7fcb6bef04 2014-01-06        kinaba: typedef long long LL;
7fcb6bef04 2014-01-06        kinaba: typedef complex<double> CMP;
7fcb6bef04 2014-01-06        kinaba: 
7fcb6bef04 2014-01-06        kinaba: static const unsigned MODVAL = 1000000007;
7fcb6bef04 2014-01-06        kinaba: struct mint
7fcb6bef04 2014-01-06        kinaba: {
7fcb6bef04 2014-01-06        kinaba: 	unsigned val;
7fcb6bef04 2014-01-06        kinaba: 	mint():val(0){}
7fcb6bef04 2014-01-06        kinaba: 	mint(int      x):val(x%MODVAL) {}
7fcb6bef04 2014-01-06        kinaba: 	mint(unsigned x):val(x%MODVAL) {}
7fcb6bef04 2014-01-06        kinaba: 	mint(LL       x):val(x%MODVAL) {}
7fcb6bef04 2014-01-06        kinaba: };
7fcb6bef04 2014-01-06        kinaba: mint& operator+=(mint& x, mint y) { return x = x.val+y.val; }
7fcb6bef04 2014-01-06        kinaba: mint& operator-=(mint& x, mint y) { return x = x.val-y.val+MODVAL; }
7fcb6bef04 2014-01-06        kinaba: mint& operator*=(mint& x, mint y) { return x = LL(x.val)*y.val; }
7fcb6bef04 2014-01-06        kinaba: mint operator+(mint x, mint y) { return x+=y; }
7fcb6bef04 2014-01-06        kinaba: mint operator-(mint x, mint y) { return x-=y; }
7fcb6bef04 2014-01-06        kinaba: mint operator*(mint x, mint y) { return x*=y; }
7fcb6bef04 2014-01-06        kinaba: 
7fcb6bef04 2014-01-06        kinaba: template<typename T>
7fcb6bef04 2014-01-06        kinaba: struct DP3x
7fcb6bef04 2014-01-06        kinaba: {
7fcb6bef04 2014-01-06        kinaba: 	int N1, N2, N3;
7fcb6bef04 2014-01-06        kinaba: 	vector<T> data;
7fcb6bef04 2014-01-06        kinaba: 	DP3x(int, int N2, int N3, const T& t = T())
7fcb6bef04 2014-01-06        kinaba: 		: N1(2), N2(N2), N3(N3), data(N1*N2*N3, t) { assert(data.size()*sizeof(T) < (1<<28)); }
7fcb6bef04 2014-01-06        kinaba: 	T& operator()(int i1, int i2, int i3)
7fcb6bef04 2014-01-06        kinaba: 		{ i1&=1; return data[ ((i1*N2)+i2)*N3+i3 ]; }
7fcb6bef04 2014-01-06        kinaba: 	void swap(DP3x& rhs)
7fcb6bef04 2014-01-06        kinaba: 		{ data.swap(rhs.data); }
7fcb6bef04 2014-01-06        kinaba: };
7fcb6bef04 2014-01-06        kinaba: 
7fcb6bef04 2014-01-06        kinaba: class WinterAndSnowmen { public:
7fcb6bef04 2014-01-06        kinaba: 	int getNumber(int N, int M)
7fcb6bef04 2014-01-06        kinaba: 	{
7fcb6bef04 2014-01-06        kinaba: 		const int MAX = max(N,M);
7fcb6bef04 2014-01-06        kinaba: 		mint total;
7fcb6bef04 2014-01-06        kinaba: 		for(int B=10; B>=0; --B)
7fcb6bef04 2014-01-06        kinaba: 		{
7fcb6bef04 2014-01-06        kinaba: 			int HH = 2048>>(B+1);
7fcb6bef04 2014-01-06        kinaba: 			DP3x<mint> dp(MAX+1, HH, 4);
7fcb6bef04 2014-01-06        kinaba: 			dp(0,0,0) = 1;
7fcb6bef04 2014-01-06        kinaba: 			for(int k=1; k<=MAX; ++k) {
7fcb6bef04 2014-01-06        kinaba: 				for(int high=0; high<HH; ++high)
7fcb6bef04 2014-01-06        kinaba: 					for(int key=0; key<4; ++key)
7fcb6bef04 2014-01-06        kinaba: 						dp(k, high, key) = dp(k-1, high, key);
7fcb6bef04 2014-01-06        kinaba: 
7fcb6bef04 2014-01-06        kinaba: 				for(int high=0; high<HH; ++high)
7fcb6bef04 2014-01-06        kinaba: 					for(int key=0; key<4; ++key) {
7fcb6bef04 2014-01-06        kinaba: 						int kh = k>>(B+1);
7fcb6bef04 2014-01-06        kinaba: 						int kk = (k>>B)&1;
7fcb6bef04 2014-01-06        kinaba: 						if(k<=N)
7fcb6bef04 2014-01-06        kinaba: 							dp(k, high^kh, key^(kk<<1)) += dp(k-1,high,key);
7fcb6bef04 2014-01-06        kinaba: 						if(k<=M)
7fcb6bef04 2014-01-06        kinaba: 							dp(k, high^kh, key^kk) += dp(k-1,high,key);
7fcb6bef04 2014-01-06        kinaba: 					}
7fcb6bef04 2014-01-06        kinaba: 			}
7fcb6bef04 2014-01-06        kinaba: 			total += dp(MAX, 0, 1);
7fcb6bef04 2014-01-06        kinaba: 		}
7fcb6bef04 2014-01-06        kinaba: 		return total.val;
7fcb6bef04 2014-01-06        kinaba: 	}
7fcb6bef04 2014-01-06        kinaba: };
7fcb6bef04 2014-01-06        kinaba: 
7fcb6bef04 2014-01-06        kinaba: // BEGIN CUT HERE
7fcb6bef04 2014-01-06        kinaba: #include <ctime>
7fcb6bef04 2014-01-06        kinaba: double start_time; string timer()
7fcb6bef04 2014-01-06        kinaba:  { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
7fcb6bef04 2014-01-06        kinaba: template<typename T> ostream& operator<<(ostream& os, const vector<T>& v)
7fcb6bef04 2014-01-06        kinaba:  { os << "{ ";
7fcb6bef04 2014-01-06        kinaba:    for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it)
7fcb6bef04 2014-01-06        kinaba:    os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; }
7fcb6bef04 2014-01-06        kinaba: void verify_case(const int& Expected, const int& Received) {
7fcb6bef04 2014-01-06        kinaba:  bool ok = (Expected == Received);
7fcb6bef04 2014-01-06        kinaba:  if(ok) cerr << "PASSED" << timer() << endl;  else { cerr << "FAILED" << timer() << endl;
7fcb6bef04 2014-01-06        kinaba:  cerr << "\to: \"" << Expected << '\"' << endl << "\tx: \"" << Received << '\"' << endl; } }
7fcb6bef04 2014-01-06        kinaba: #define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock();
7fcb6bef04 2014-01-06        kinaba: #define END	 verify_case(_, WinterAndSnowmen().getNumber(N, M));}
7fcb6bef04 2014-01-06        kinaba: int main(){
7fcb6bef04 2014-01-06        kinaba: 
7fcb6bef04 2014-01-06        kinaba: CASE(0)
7fcb6bef04 2014-01-06        kinaba: 	int N = 2;
7fcb6bef04 2014-01-06        kinaba: 	int M = 2;
7fcb6bef04 2014-01-06        kinaba: 	int _ = 4;
7fcb6bef04 2014-01-06        kinaba: END
7fcb6bef04 2014-01-06        kinaba: CASE(1)
7fcb6bef04 2014-01-06        kinaba: 	int N = 1;
7fcb6bef04 2014-01-06        kinaba: 	int M = 1;
7fcb6bef04 2014-01-06        kinaba: 	int _ = 1;
7fcb6bef04 2014-01-06        kinaba: END
7fcb6bef04 2014-01-06        kinaba: CASE(2)
7fcb6bef04 2014-01-06        kinaba: 	int N = 3;
7fcb6bef04 2014-01-06        kinaba: 	int M = 5;
7fcb6bef04 2014-01-06        kinaba: 	int _ = 74;
7fcb6bef04 2014-01-06        kinaba: END
7fcb6bef04 2014-01-06        kinaba: CASE(3)
7fcb6bef04 2014-01-06        kinaba: 	int N = 7;
7fcb6bef04 2014-01-06        kinaba: 	int M = 4;
7fcb6bef04 2014-01-06        kinaba: 	int _ = 216;
7fcb6bef04 2014-01-06        kinaba: END
7fcb6bef04 2014-01-06        kinaba: CASE(4)
7fcb6bef04 2014-01-06        kinaba: 	int N = 47;
7fcb6bef04 2014-01-06        kinaba: 	int M = 74;
7fcb6bef04 2014-01-06        kinaba: 	int _ = 962557390;
7fcb6bef04 2014-01-06        kinaba: END
7fcb6bef04 2014-01-06        kinaba: CASE(5)
7fcb6bef04 2014-01-06        kinaba: 	int N = 2000;
7fcb6bef04 2014-01-06        kinaba: 	int M = 2000;
7fcb6bef04 2014-01-06        kinaba: 	int _ = -1;
7fcb6bef04 2014-01-06        kinaba: END
7fcb6bef04 2014-01-06        kinaba: /*
7fcb6bef04 2014-01-06        kinaba: CASE(6)
7fcb6bef04 2014-01-06        kinaba: 	int N = ;
7fcb6bef04 2014-01-06        kinaba: 	int M = ;
7fcb6bef04 2014-01-06        kinaba: 	int _ = ;
7fcb6bef04 2014-01-06        kinaba: END
7fcb6bef04 2014-01-06        kinaba: */
7fcb6bef04 2014-01-06        kinaba: }
7fcb6bef04 2014-01-06        kinaba: // END CUT HERE