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: static const LL MODVAL = 1000000007;
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: class PuyoPuyo { public:
4fd800b3a8 2011-02-23        kinaba: 	int theCount(int L, int N)
4fd800b3a8 2011-02-23        kinaba: 	{
4fd800b3a8 2011-02-23        kinaba: 		// A4 ::= U*
4fd800b3a8 2011-02-23        kinaba: 		// U  ::= x A3 x A3 x A3 x   (U::=U[0],  U[i]::=x A3 U[i+1],  U[L-1]::=x)
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 		vector<LL>           A4(N+1), A3(N+1);
4fd800b3a8 2011-02-23        kinaba: 		vector< vector<LL> > U(L, vector<LL>(N+1));
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 		A4[0] = A3[0] = U[L-1][1] = 1;
4fd800b3a8 2011-02-23        kinaba: 		for(int n=1; n<=N; ++n) {
4fd800b3a8 2011-02-23        kinaba: 			for(int k=L-2; k>=0; --k)
4fd800b3a8 2011-02-23        kinaba: 				for(int z=0; n-z-1>=1; z+=L)
4fd800b3a8 2011-02-23        kinaba: 					U[k][n] = (U[k][n] + A3[z]*U[k+1][n-z-1]) % MODVAL;
4fd800b3a8 2011-02-23        kinaba: 			for(int i=L; i<=n; i+=L)
4fd800b3a8 2011-02-23        kinaba: 				A4[n] = (A4[n] + 4*U[0][i]*A4[n-i]) % MODVAL;
4fd800b3a8 2011-02-23        kinaba: 			for(int i=L; i<=n; i+=L)
4fd800b3a8 2011-02-23        kinaba: 				A3[n] = (A3[n] + 3*U[0][i]*A3[n-i]) % MODVAL;
4fd800b3a8 2011-02-23        kinaba: 		}
4fd800b3a8 2011-02-23        kinaba: 		return int(A4[N]);
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 int& Expected, const int& 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(_, PuyoPuyo().theCount(L, N));}
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 L = 2;
4fd800b3a8 2011-02-23        kinaba: 	int N = 2;
4fd800b3a8 2011-02-23        kinaba: 	int _ = 4;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(1)
4fd800b3a8 2011-02-23        kinaba: 	int L = 2;
4fd800b3a8 2011-02-23        kinaba: 	int N = 4;
4fd800b3a8 2011-02-23        kinaba: 	int _ = 28;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(2)
4fd800b3a8 2011-02-23        kinaba: 	int L = 2;
4fd800b3a8 2011-02-23        kinaba: 	int N = 58;
4fd800b3a8 2011-02-23        kinaba: 	int _ = 868294620;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(3)
4fd800b3a8 2011-02-23        kinaba: 	int L = 4;
4fd800b3a8 2011-02-23        kinaba: 	int N = 84;
4fd800b3a8 2011-02-23        kinaba: 	int _ = 621871151;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(4)
4fd800b3a8 2011-02-23        kinaba: 	int L = 5;
4fd800b3a8 2011-02-23        kinaba: 	int N = 8;
4fd800b3a8 2011-02-23        kinaba: 	int _ = 0;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(5)
4fd800b3a8 2011-02-23        kinaba: 	int L = 2;
4fd800b3a8 2011-02-23        kinaba: 	int N = 1;
4fd800b3a8 2011-02-23        kinaba: 	int _ = 0;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(6)
4fd800b3a8 2011-02-23        kinaba: 	int L = 2;
4fd800b3a8 2011-02-23        kinaba: 	int N = 1000;
4fd800b3a8 2011-02-23        kinaba: 	int _ = -1;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(7)
4fd800b3a8 2011-02-23        kinaba: 	int L = 2;
4fd800b3a8 2011-02-23        kinaba: 	int N = 6;
4fd800b3a8 2011-02-23        kinaba: 	int _ = 232;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(8)
4fd800b3a8 2011-02-23        kinaba: 	int L = 2;
4fd800b3a8 2011-02-23        kinaba: 	int N = 8;
4fd800b3a8 2011-02-23        kinaba: 	int _ = 2092;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: }
4fd800b3a8 2011-02-23        kinaba: // END CUT HERE