8bf237c40d 2011-10-04        kinaba: #include <iostream>
8bf237c40d 2011-10-04        kinaba: #include <sstream>
8bf237c40d 2011-10-04        kinaba: #include <iomanip>
8bf237c40d 2011-10-04        kinaba: #include <vector>
8bf237c40d 2011-10-04        kinaba: #include <string>
8bf237c40d 2011-10-04        kinaba: #include <map>
8bf237c40d 2011-10-04        kinaba: #include <set>
8bf237c40d 2011-10-04        kinaba: #include <algorithm>
8bf237c40d 2011-10-04        kinaba: #include <numeric>
8bf237c40d 2011-10-04        kinaba: #include <iterator>
8bf237c40d 2011-10-04        kinaba: #include <functional>
8bf237c40d 2011-10-04        kinaba: #include <complex>
8bf237c40d 2011-10-04        kinaba: #include <queue>
8bf237c40d 2011-10-04        kinaba: #include <stack>
8bf237c40d 2011-10-04        kinaba: #include <cmath>
8bf237c40d 2011-10-04        kinaba: #include <cassert>
8bf237c40d 2011-10-04        kinaba: #include <cstring>
8bf237c40d 2011-10-04        kinaba: using namespace std;
8bf237c40d 2011-10-04        kinaba: typedef long long LL;
8bf237c40d 2011-10-04        kinaba: typedef complex<double> CMP;
8bf237c40d 2011-10-04        kinaba: 
8bf237c40d 2011-10-04        kinaba: static const int MODVAL = 1000000007; // must be prime for op/
8bf237c40d 2011-10-04        kinaba: struct mint
8bf237c40d 2011-10-04        kinaba: {
8bf237c40d 2011-10-04        kinaba: 	int val;
8bf237c40d 2011-10-04        kinaba: 	mint():val(0){}
8bf237c40d 2011-10-04        kinaba: 	mint(int    x):val(x%MODVAL) {}
8bf237c40d 2011-10-04        kinaba: 	mint(size_t x):val(x%MODVAL) {}
8bf237c40d 2011-10-04        kinaba: 	mint(LL     x):val(x%MODVAL) {}
8bf237c40d 2011-10-04        kinaba: };
8bf237c40d 2011-10-04        kinaba: mint& operator+=(mint& x, mint y) { return x = x.val+y.val; }
8bf237c40d 2011-10-04        kinaba: mint& operator-=(mint& x, mint y) { return x = x.val-y.val+MODVAL; }
8bf237c40d 2011-10-04        kinaba: mint& operator*=(mint& x, mint y) { return x = LL(x.val)*y.val; }
8bf237c40d 2011-10-04        kinaba: mint POW(mint x, LL e) { mint v=1; for(;e;x*=x,e>>=1) if(e&1) v*=x; return v; }
8bf237c40d 2011-10-04        kinaba: mint& operator/=(mint& x, mint y) { return x *= POW(y, MODVAL-2); }
8bf237c40d 2011-10-04        kinaba: mint operator+(mint x, mint y) { return x+=y; }
8bf237c40d 2011-10-04        kinaba: mint operator-(mint x, mint y) { return x-=y; }
8bf237c40d 2011-10-04        kinaba: mint operator*(mint x, mint y) { return x*=y; }
8bf237c40d 2011-10-04        kinaba: mint operator/(mint x, mint y) { return x/=y; }
8bf237c40d 2011-10-04        kinaba: vector<mint> FAC_(1,1);
8bf237c40d 2011-10-04        kinaba: mint FAC(LL n) { while( FAC_.size()<=n ) FAC_.push_back( FAC_.back()*FAC_.size() ); return FAC_[n]; }
8bf237c40d 2011-10-04        kinaba: mint C(LL n, LL k) { return k<0 || n<k ? 0 : FAC(n) / (FAC(k) * FAC(n-k)); }
8bf237c40d 2011-10-04        kinaba: 
8bf237c40d 2011-10-04        kinaba: template<typename T>
8bf237c40d 2011-10-04        kinaba: struct DP4
8bf237c40d 2011-10-04        kinaba: {
8bf237c40d 2011-10-04        kinaba: 	int N1, N2, N3, N4;
8bf237c40d 2011-10-04        kinaba: 	vector<T> data;
8bf237c40d 2011-10-04        kinaba: 	DP4(int N1, int N2, int N3, int N4, const T& t = T())
8bf237c40d 2011-10-04        kinaba: 		: N1(N1), N2(N2), N3(N3), N4(N4), data(N1*N2*N3*N4, t) { assert(data.size()*sizeof(T)<(1<<26)); }
8bf237c40d 2011-10-04        kinaba: 	T& operator()(int i1, int i2, int i3, int i4)
8bf237c40d 2011-10-04        kinaba: 		{ return data[ (((i1*N2)+i2)*N3+i3)*N4+i4 ]; }
8bf237c40d 2011-10-04        kinaba: 	void swap(DP4& rhs)
8bf237c40d 2011-10-04        kinaba: 		{ data.swap(rhs.data); }
8bf237c40d 2011-10-04        kinaba: };
8bf237c40d 2011-10-04        kinaba: 
8bf237c40d 2011-10-04        kinaba: class SRMIntermissionPhase { public:
8bf237c40d 2011-10-04        kinaba: 	int countWays(vector <int> points, vector <string> description)
8bf237c40d 2011-10-04        kinaba: 	{
8bf237c40d 2011-10-04        kinaba: 		const int TOTAL = accumulate(points.begin(), points.end(), 0);
8bf237c40d 2011-10-04        kinaba: 
8bf237c40d 2011-10-04        kinaba: 		DP4<mint> patnum(2,2,2,TOTAL+1);
8bf237c40d 2011-10-04        kinaba: 		int a[3];
8bf237c40d 2011-10-04        kinaba: 		for(a[0]=0; a[0]<2; ++a[0])
8bf237c40d 2011-10-04        kinaba: 		for(a[1]=0; a[1]<2; ++a[1])
8bf237c40d 2011-10-04        kinaba: 		for(a[2]=0; a[2]<2; ++a[2])
8bf237c40d 2011-10-04        kinaba: 		{
8bf237c40d 2011-10-04        kinaba: 			patnum(a[0],a[1],a[2],0) = 1;
8bf237c40d 2011-10-04        kinaba: 			for(int i=0; i<3; ++i) if(a[i]) {
8bf237c40d 2011-10-04        kinaba: 				for(int p=1; p<=TOTAL; ++p)
8bf237c40d 2011-10-04        kinaba: 					patnum(a[0],a[1],a[2],p) += patnum(a[0],a[1],a[2],p-1);
8bf237c40d 2011-10-04        kinaba: 				for(int p=TOTAL; p>=points[i]+1; --p)
8bf237c40d 2011-10-04        kinaba: 					patnum(a[0],a[1],a[2],p) = patnum(a[0],a[1],a[2],p-1) - patnum(a[0],a[1],a[2],p-points[i]-1);
8bf237c40d 2011-10-04        kinaba: 				for(int p=points[i]; p>=0; --p)
8bf237c40d 2011-10-04        kinaba: 					patnum(a[0],a[1],a[2],p) = p>0 ? patnum(a[0],a[1],a[2],p-1) : 0;
8bf237c40d 2011-10-04        kinaba: 			}
8bf237c40d 2011-10-04        kinaba: 		}
8bf237c40d 2011-10-04        kinaba: 
8bf237c40d 2011-10-04        kinaba: 		vector<mint> dp(TOTAL+2);
8bf237c40d 2011-10-04        kinaba: 		dp[0] = 1; // -1
8bf237c40d 2011-10-04        kinaba: 		for(int i=description.size()-1; i>=0; --i)
8bf237c40d 2011-10-04        kinaba: 		{
8bf237c40d 2011-10-04        kinaba: 			partial_sum(dp.begin(), dp.end(), dp.begin());
8bf237c40d 2011-10-04        kinaba: 			for(int s=TOTAL; s>=0; --s)
8bf237c40d 2011-10-04        kinaba: 				dp[s+1] = dp[s] * patnum(
8bf237c40d 2011-10-04        kinaba: 					description[i][0]=='Y',
8bf237c40d 2011-10-04        kinaba: 					description[i][1]=='Y',
8bf237c40d 2011-10-04        kinaba: 					description[i][2]=='Y',
8bf237c40d 2011-10-04        kinaba: 					s
8bf237c40d 2011-10-04        kinaba: 				);
8bf237c40d 2011-10-04        kinaba: 			dp[0] = 0;
8bf237c40d 2011-10-04        kinaba: 		}
8bf237c40d 2011-10-04        kinaba: 		return accumulate(dp.begin()+1, dp.end(), mint(0)).val;
8bf237c40d 2011-10-04        kinaba: 	}
8bf237c40d 2011-10-04        kinaba: };
8bf237c40d 2011-10-04        kinaba: 
8bf237c40d 2011-10-04        kinaba: // BEGIN CUT HERE
8bf237c40d 2011-10-04        kinaba: #include <ctime>
8bf237c40d 2011-10-04        kinaba: double start_time; string timer()
8bf237c40d 2011-10-04        kinaba:  { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
8bf237c40d 2011-10-04        kinaba: template<typename T> ostream& operator<<(ostream& os, const vector<T>& v)
8bf237c40d 2011-10-04        kinaba:  { os << "{ ";
8bf237c40d 2011-10-04        kinaba:    for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it)
8bf237c40d 2011-10-04        kinaba:    os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; }
8bf237c40d 2011-10-04        kinaba: void verify_case(const int& Expected, const int& Received) {
8bf237c40d 2011-10-04        kinaba:  bool ok = (Expected == Received);
8bf237c40d 2011-10-04        kinaba:  if(ok) cerr << "PASSED" << timer() << endl;  else { cerr << "FAILED" << timer() << endl;
8bf237c40d 2011-10-04        kinaba:  cerr << "\to: \"" << Expected << '\"' << endl << "\tx: \"" << Received << '\"' << endl; } }
8bf237c40d 2011-10-04        kinaba: #define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock();
8bf237c40d 2011-10-04        kinaba: #define END	 verify_case(_, SRMIntermissionPhase().countWays(points, description));}
8bf237c40d 2011-10-04        kinaba: int main(){
8bf237c40d 2011-10-04        kinaba: 
8bf237c40d 2011-10-04        kinaba: CASE(4)
8bf237c40d 2011-10-04        kinaba: int points_[] = {1,2,3};
8bf237c40d 2011-10-04        kinaba: 	  vector <int> points(points_, points_+sizeof(points_)/sizeof(*points_));
8bf237c40d 2011-10-04        kinaba: 	  string description_[] = {"YNN","NNN"};
8bf237c40d 2011-10-04        kinaba: 	  vector <string> description(description_, description_+sizeof(description_)/sizeof(*description_));
8bf237c40d 2011-10-04        kinaba: 	int _ = 1;
8bf237c40d 2011-10-04        kinaba: END
8bf237c40d 2011-10-04        kinaba: CASE(0)
8bf237c40d 2011-10-04        kinaba: 	int points_[] = {25000, 50000, 100000};
8bf237c40d 2011-10-04        kinaba: 	  vector <int> points(points_, points_+sizeof(points_)/sizeof(*points_));
8bf237c40d 2011-10-04        kinaba: 	string description_[] = {"YNN",
8bf237c40d 2011-10-04        kinaba:  "NNN"};
8bf237c40d 2011-10-04        kinaba: 	  vector <string> description(description_, description_+sizeof(description_)/sizeof(*description_));
8bf237c40d 2011-10-04        kinaba: 	int _ = 25000;
8bf237c40d 2011-10-04        kinaba: END
8bf237c40d 2011-10-04        kinaba: CASE(1)
8bf237c40d 2011-10-04        kinaba: 	int points_[] = {30000, 60000, 90000};
8bf237c40d 2011-10-04        kinaba: 	  vector <int> points(points_, points_+sizeof(points_)/sizeof(*points_));
8bf237c40d 2011-10-04        kinaba: 	string description_[] = {"NYN",
8bf237c40d 2011-10-04        kinaba:  "NYN"};
8bf237c40d 2011-10-04        kinaba: 	  vector <string> description(description_, description_+sizeof(description_)/sizeof(*description_));
8bf237c40d 2011-10-04        kinaba: 	int _ = 799969993;
8bf237c40d 2011-10-04        kinaba: END
8bf237c40d 2011-10-04        kinaba: CASE(2)
8bf237c40d 2011-10-04        kinaba: 	int points_[] = {25000, 45000, 110000};
8bf237c40d 2011-10-04        kinaba: 	  vector <int> points(points_, points_+sizeof(points_)/sizeof(*points_));
8bf237c40d 2011-10-04        kinaba: 	string description_[] = {"NNN",
8bf237c40d 2011-10-04        kinaba:  "YYY"};
8bf237c40d 2011-10-04        kinaba: 	  vector <string> description(description_, description_+sizeof(description_)/sizeof(*description_));
8bf237c40d 2011-10-04        kinaba: 	int _ = 0;
8bf237c40d 2011-10-04        kinaba: END
8bf237c40d 2011-10-04        kinaba: CASE(3)
8bf237c40d 2011-10-04        kinaba: 	int points_[] = {25600, 51200, 102400};
8bf237c40d 2011-10-04        kinaba: 	  vector <int> points(points_, points_+sizeof(points_)/sizeof(*points_));
8bf237c40d 2011-10-04        kinaba: 	string description_[] = {"NYY",
8bf237c40d 2011-10-04        kinaba:  "YNY",
8bf237c40d 2011-10-04        kinaba:  "YYY",
8bf237c40d 2011-10-04        kinaba:  "YNN",
8bf237c40d 2011-10-04        kinaba:  "YYN",
8bf237c40d 2011-10-04        kinaba:  "NNY",
8bf237c40d 2011-10-04        kinaba:  "NYN",
8bf237c40d 2011-10-04        kinaba:  "NNN"};
8bf237c40d 2011-10-04        kinaba: 	  vector <string> description(description_, description_+sizeof(description_)/sizeof(*description_));
8bf237c40d 2011-10-04        kinaba: 	int _ = 867560805;
8bf237c40d 2011-10-04        kinaba: END
8bf237c40d 2011-10-04        kinaba: CASE(5)
8bf237c40d 2011-10-04        kinaba: int points_[] = {30000,60000,110000};
8bf237c40d 2011-10-04        kinaba: 	  vector <int> points(points_, points_+sizeof(points_)/sizeof(*points_));
8bf237c40d 2011-10-04        kinaba: 	string description_[] = {
8bf237c40d 2011-10-04        kinaba: 		"YYY",
8bf237c40d 2011-10-04        kinaba: 		"YYY",
8bf237c40d 2011-10-04        kinaba: 		"YYY",
8bf237c40d 2011-10-04        kinaba: 		"YYY",
8bf237c40d 2011-10-04        kinaba: 		"YYY",
8bf237c40d 2011-10-04        kinaba: 		"YYY",
8bf237c40d 2011-10-04        kinaba: 		"YYY",
8bf237c40d 2011-10-04        kinaba: 		"YYY",
8bf237c40d 2011-10-04        kinaba: 		"YYY",
8bf237c40d 2011-10-04        kinaba: 		"YYY",
8bf237c40d 2011-10-04        kinaba: 		"YYY",
8bf237c40d 2011-10-04        kinaba: 		"YYY",
8bf237c40d 2011-10-04        kinaba: 		"YYY",
8bf237c40d 2011-10-04        kinaba: 		"YYY",
8bf237c40d 2011-10-04        kinaba: 		"YYY",
8bf237c40d 2011-10-04        kinaba: 		"YYY",
8bf237c40d 2011-10-04        kinaba: 		"YYY",
8bf237c40d 2011-10-04        kinaba: 		"YYY",
8bf237c40d 2011-10-04        kinaba: 		"YYY",
8bf237c40d 2011-10-04        kinaba: 		"YYY",
8bf237c40d 2011-10-04        kinaba: 	};
8bf237c40d 2011-10-04        kinaba: 	  vector <string> description(description_, description_+sizeof(description_)/sizeof(*description_));
8bf237c40d 2011-10-04        kinaba: 	int _ = -1;
8bf237c40d 2011-10-04        kinaba: END
8bf237c40d 2011-10-04        kinaba: }
8bf237c40d 2011-10-04        kinaba: // END CUT HERE