e3362a9488 2014-05-10        kinaba: #include <iostream>
e3362a9488 2014-05-10        kinaba: #include <sstream>
e3362a9488 2014-05-10        kinaba: #include <iomanip>
e3362a9488 2014-05-10        kinaba: #include <vector>
e3362a9488 2014-05-10        kinaba: #include <string>
e3362a9488 2014-05-10        kinaba: #include <map>
e3362a9488 2014-05-10        kinaba: #include <set>
e3362a9488 2014-05-10        kinaba: #include <algorithm>
e3362a9488 2014-05-10        kinaba: #include <numeric>
e3362a9488 2014-05-10        kinaba: #include <iterator>
e3362a9488 2014-05-10        kinaba: #include <functional>
e3362a9488 2014-05-10        kinaba: #include <complex>
e3362a9488 2014-05-10        kinaba: #include <queue>
e3362a9488 2014-05-10        kinaba: #include <stack>
e3362a9488 2014-05-10        kinaba: #include <cmath>
e3362a9488 2014-05-10        kinaba: #include <cassert>
e3362a9488 2014-05-10        kinaba: #include <tuple>
e3362a9488 2014-05-10        kinaba: using namespace std;
e3362a9488 2014-05-10        kinaba: typedef long long LL;
e3362a9488 2014-05-10        kinaba: typedef complex<double> CMP;
e3362a9488 2014-05-10        kinaba: 
e3362a9488 2014-05-10        kinaba: static const unsigned MODVAL = 1000000007;
e3362a9488 2014-05-10        kinaba: struct mint
e3362a9488 2014-05-10        kinaba: {
e3362a9488 2014-05-10        kinaba: 	unsigned val;
e3362a9488 2014-05-10        kinaba: 	mint():val(0){}
e3362a9488 2014-05-10        kinaba: 	mint(int      x):val(x%MODVAL) {}
e3362a9488 2014-05-10        kinaba: 	mint(unsigned x):val(x%MODVAL) {}
e3362a9488 2014-05-10        kinaba: 	mint(LL       x):val(x%MODVAL) {}
e3362a9488 2014-05-10        kinaba: };
e3362a9488 2014-05-10        kinaba: mint& operator+=(mint& x, mint y) { return x = x.val+y.val; }
e3362a9488 2014-05-10        kinaba: mint& operator-=(mint& x, mint y) { return x = x.val-y.val+MODVAL; }
e3362a9488 2014-05-10        kinaba: mint& operator*=(mint& x, mint y) { return x = LL(x.val)*y.val; }
e3362a9488 2014-05-10        kinaba: mint operator+(mint x, mint y) { return x+=y; }
e3362a9488 2014-05-10        kinaba: mint operator-(mint x, mint y) { return x-=y; }
e3362a9488 2014-05-10        kinaba: mint operator*(mint x, mint y) { return x*=y; }
e3362a9488 2014-05-10        kinaba: 
e3362a9488 2014-05-10        kinaba: mint POW(mint x, LL e) { mint v=1; for(;e;x*=x,e>>=1) if(e&1) v*=x; return v; }
e3362a9488 2014-05-10        kinaba: mint& operator/=(mint& x, mint y) { return x *= POW(y, MODVAL-2); }
e3362a9488 2014-05-10        kinaba: mint operator/(mint x, mint y) { return x/=y; }
e3362a9488 2014-05-10        kinaba: 
e3362a9488 2014-05-10        kinaba: vector<mint> FAC_(1,1);
e3362a9488 2014-05-10        kinaba: mint FAC(LL n) { while( FAC_.size()<=n ) FAC_.push_back( FAC_.back()*(LL)FAC_.size() ); return FAC_[n]; }
e3362a9488 2014-05-10        kinaba: 
e3362a9488 2014-05-10        kinaba: class LongWordsDiv1 { public:
e3362a9488 2014-05-10        kinaba: 	int count(int n)
e3362a9488 2014-05-10        kinaba: 	{
e3362a9488 2014-05-10        kinaba: 		vector<mint> dp(n+1);
e3362a9488 2014-05-10        kinaba: 		dp[0] = 0;
e3362a9488 2014-05-10        kinaba: 		dp[1] = 1;
e3362a9488 2014-05-10        kinaba: 		for(int x=2; x<=n; ++x)
e3362a9488 2014-05-10        kinaba: 		{
e3362a9488 2014-05-10        kinaba: 			mint total = dp[x-1];
e3362a9488 2014-05-10        kinaba: 			for(int k=1; k<=x-1; ++k)
e3362a9488 2014-05-10        kinaba: 				total += dp[k] * dp[x-1-k];
e3362a9488 2014-05-10        kinaba: 			dp[x] = total;
e3362a9488 2014-05-10        kinaba: 		}
e3362a9488 2014-05-10        kinaba: 		return (dp[n] * FAC(n)).val;
e3362a9488 2014-05-10        kinaba: 	}
e3362a9488 2014-05-10        kinaba: };
e3362a9488 2014-05-10        kinaba: 
e3362a9488 2014-05-10        kinaba: // BEGIN CUT HERE
e3362a9488 2014-05-10        kinaba: #include <ctime>
e3362a9488 2014-05-10        kinaba: double start_time; string timer()
e3362a9488 2014-05-10        kinaba:  { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
e3362a9488 2014-05-10        kinaba: template<typename T> ostream& operator<<(ostream& os, const vector<T>& v)
e3362a9488 2014-05-10        kinaba:  { os << "{ ";
e3362a9488 2014-05-10        kinaba:    for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it)
e3362a9488 2014-05-10        kinaba:    os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; }
e3362a9488 2014-05-10        kinaba: void verify_case(const int& Expected, const int& Received) {
e3362a9488 2014-05-10        kinaba:  bool ok = (Expected == Received);
e3362a9488 2014-05-10        kinaba:  if(ok) cerr << "PASSED" << timer() << endl;  else { cerr << "FAILED" << timer() << endl;
e3362a9488 2014-05-10        kinaba:  cerr << "\to: \"" << Expected << '\"' << endl << "\tx: \"" << Received << '\"' << endl; } }
e3362a9488 2014-05-10        kinaba: #define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock();
e3362a9488 2014-05-10        kinaba: #define END	 verify_case(_, LongWordsDiv1().count(n));}
e3362a9488 2014-05-10        kinaba: int main(){
e3362a9488 2014-05-10        kinaba: 
e3362a9488 2014-05-10        kinaba: CASE(0)
e3362a9488 2014-05-10        kinaba: 	int n = 1;
e3362a9488 2014-05-10        kinaba: 	int _ = 1;
e3362a9488 2014-05-10        kinaba: END
e3362a9488 2014-05-10        kinaba: CASE(1)
e3362a9488 2014-05-10        kinaba: 	int n = 2;
e3362a9488 2014-05-10        kinaba: 	int _ = 2;
e3362a9488 2014-05-10        kinaba: END
e3362a9488 2014-05-10        kinaba: CASE(2)
e3362a9488 2014-05-10        kinaba: 	int n = 5;
e3362a9488 2014-05-10        kinaba: 	int _ = 1080;
e3362a9488 2014-05-10        kinaba: END
e3362a9488 2014-05-10        kinaba: CASE(3)
e3362a9488 2014-05-10        kinaba: 	int n = 100;
e3362a9488 2014-05-10        kinaba: 	int _ = 486425238;
e3362a9488 2014-05-10        kinaba: END
e3362a9488 2014-05-10        kinaba: /*
e3362a9488 2014-05-10        kinaba: CASE(4)
e3362a9488 2014-05-10        kinaba: 	int n = ;
e3362a9488 2014-05-10        kinaba: 	int _ = ;
e3362a9488 2014-05-10        kinaba: END
e3362a9488 2014-05-10        kinaba: CASE(5)
e3362a9488 2014-05-10        kinaba: 	int n = ;
e3362a9488 2014-05-10        kinaba: 	int _ = ;
e3362a9488 2014-05-10        kinaba: END
e3362a9488 2014-05-10        kinaba: */
e3362a9488 2014-05-10        kinaba: }
e3362a9488 2014-05-10        kinaba: // END CUT HERE