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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: LL MODVAL = 1000000007LL;
4fd800b3a8 2011-02-23        kinaba: LL ADD(LL x, LL y) { return (x+y)%MODVAL; }
4fd800b3a8 2011-02-23        kinaba: LL SUB(LL x, LL y) { return (x-y+MODVAL)%MODVAL; }
4fd800b3a8 2011-02-23        kinaba: LL MUL(LL x, LL y) { return (x*y)%MODVAL; }
4fd800b3a8 2011-02-23        kinaba: LL POW(LL x, LL e) {
4fd800b3a8 2011-02-23        kinaba: 	LL v = 1;
4fd800b3a8 2011-02-23        kinaba: 	for(;e;x=MUL(x,x),e>>=1)
4fd800b3a8 2011-02-23        kinaba: 		if(e&1)
4fd800b3a8 2011-02-23        kinaba: 			v = MUL(v, x);
4fd800b3a8 2011-02-23        kinaba: 	return v;
4fd800b3a8 2011-02-23        kinaba: }
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: class IOIString { public:
4fd800b3a8 2011-02-23        kinaba: 	string  s;
4fd800b3a8 2011-02-23        kinaba: 	LL nI, nQ;
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 	int countIOIs(vector <string> mask)
4fd800b3a8 2011-02-23        kinaba: 	{
4fd800b3a8 2011-02-23        kinaba: 		s  = accumulate( mask.begin(), mask.end(), string("") );
4fd800b3a8 2011-02-23        kinaba: 		nI = count( s.begin(), s.end(), 'I' );
4fd800b3a8 2011-02-23        kinaba: 		nQ = count( s.begin(), s.end(), '?' );
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 		return SUB( POW(2,nQ), non_IOI() );
4fd800b3a8 2011-02-23        kinaba: 	}
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 	LL non_IOI()
4fd800b3a8 2011-02-23        kinaba: 	{
4fd800b3a8 2011-02-23        kinaba: 		LL ans = 0;
4fd800b3a8 2011-02-23        kinaba: 		if( nI == 0 ) ans = ADD(ans,  1); // #I == 0
4fd800b3a8 2011-02-23        kinaba: 		if( nI == 0 ) ans = ADD(ans, nQ); // #I == 1
4fd800b3a8 2011-02-23        kinaba: 		if( nI == 1 ) ans = ADD(ans,  1); // #I == 1
4fd800b3a8 2011-02-23        kinaba: 		for(int D=1; D<s.size(); D+=2)
4fd800b3a8 2011-02-23        kinaba: 			for(int S=0; S<D; ++S)
4fd800b3a8 2011-02-23        kinaba: 				ans = ADD(ans, non_IOI_2(S, D)); // #I >= 2
4fd800b3a8 2011-02-23        kinaba: 		return ans;
4fd800b3a8 2011-02-23        kinaba: 	}
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 	LL non_IOI_2( int S, int D )
4fd800b3a8 2011-02-23        kinaba: 	{
4fd800b3a8 2011-02-23        kinaba: 		string t;
4fd800b3a8 2011-02-23        kinaba: 		for(int i=S; i<s.size(); i+=D)
4fd800b3a8 2011-02-23        kinaba: 			t += s[i];
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 		// t 以外の部分は全部 'O' でないとダメ
4fd800b3a8 2011-02-23        kinaba: 		if( count(t.begin(), t.end(), 'I') < nI )
4fd800b3a8 2011-02-23        kinaba: 			return 0;
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 		// t は /O*II+O*/ にマッチしないとダメ。4状態のオートマトンでDP
4fd800b3a8 2011-02-23        kinaba: 		LL q0=1, q1=0, q2=0, q3=0;
4fd800b3a8 2011-02-23        kinaba: 		for(int i=0; i<t.size(); ++i)
4fd800b3a8 2011-02-23        kinaba: 		{
4fd800b3a8 2011-02-23        kinaba: 			LL p0 = (t[i]=='O' ?         q0 : t[i]=='I' ?          0 : q0);
4fd800b3a8 2011-02-23        kinaba: 			LL p1 = (t[i]=='O' ?          0 : t[i]=='I' ?         q0 : q0);
4fd800b3a8 2011-02-23        kinaba: 			LL p2 = (t[i]=='O' ?          0 : t[i]=='I' ? ADD(q1,q2) : ADD(q1,q2));
4fd800b3a8 2011-02-23        kinaba: 			LL p3 = (t[i]=='O' ? ADD(q2,q3) : t[i]=='I' ?          0 : ADD(q2,q3));
4fd800b3a8 2011-02-23        kinaba: 			q0=p0, q1=p1, q2=p2, q3=p3;
4fd800b3a8 2011-02-23        kinaba: 		}
4fd800b3a8 2011-02-23        kinaba: 		return ADD(q2, q3);
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(_, IOIString().countIOIs(mask));}
4fd800b3a8 2011-02-23        kinaba: int main(){
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: CASE(0)
4fd800b3a8 2011-02-23        kinaba: 	string mask_[] = {"IO?"};
4fd800b3a8 2011-02-23        kinaba: 	  vector <string> mask(mask_, mask_+sizeof(mask_)/sizeof(*mask_));
4fd800b3a8 2011-02-23        kinaba: 	int _ = 1;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(1)
4fd800b3a8 2011-02-23        kinaba: 	string mask_[] = {"????"};
4fd800b3a8 2011-02-23        kinaba: 	  vector <string> mask(mask_, mask_+sizeof(mask_)/sizeof(*mask_));
4fd800b3a8 2011-02-23        kinaba: 	int _ = 4;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(2)
4fd800b3a8 2011-02-23        kinaba: 	string mask_[] = {"?II"};
4fd800b3a8 2011-02-23        kinaba: 	  vector <string> mask(mask_, mask_+sizeof(mask_)/sizeof(*mask_));
4fd800b3a8 2011-02-23        kinaba: 	int _ = 0;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(3)
4fd800b3a8 2011-02-23        kinaba: 	string mask_[] = {"I??O??I"};
4fd800b3a8 2011-02-23        kinaba: 	  vector <string> mask(mask_, mask_+sizeof(mask_)/sizeof(*mask_));
4fd800b3a8 2011-02-23        kinaba: 	int _ = 16;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(4)
4fd800b3a8 2011-02-23        kinaba: 	string mask_[] = {"???I???????O???","???????????O??IO????????I???"};
4fd800b3a8 2011-02-23        kinaba: 	  vector <string> mask(mask_, mask_+sizeof(mask_)/sizeof(*mask_));
4fd800b3a8 2011-02-23        kinaba: 	int _ = 438952513;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(5)
4fd800b3a8 2011-02-23        kinaba: 	string mask_[] = {"?"};
4fd800b3a8 2011-02-23        kinaba: 	  vector <string> mask(mask_, mask_+sizeof(mask_)/sizeof(*mask_));
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: 	string mask_[] = {
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4fd800b3a8 2011-02-23        kinaba: };
4fd800b3a8 2011-02-23        kinaba: 	  vector <string> mask(mask_, mask_+sizeof(mask_)/sizeof(*mask_));
4fd800b3a8 2011-02-23        kinaba: 	int _ = 967087276;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: }
4fd800b3a8 2011-02-23        kinaba: // END CUT HERE
Fossil version [8d758d3715] 2012-10-22 12:48:04