9149ebcfa2 2014-02-07        kinaba: #include <iostream>
9149ebcfa2 2014-02-07        kinaba: #include <sstream>
9149ebcfa2 2014-02-07        kinaba: #include <iomanip>
9149ebcfa2 2014-02-07        kinaba: #include <vector>
9149ebcfa2 2014-02-07        kinaba: #include <string>
9149ebcfa2 2014-02-07        kinaba: #include <map>
9149ebcfa2 2014-02-07        kinaba: #include <set>
9149ebcfa2 2014-02-07        kinaba: #include <algorithm>
9149ebcfa2 2014-02-07        kinaba: #include <numeric>
9149ebcfa2 2014-02-07        kinaba: #include <iterator>
9149ebcfa2 2014-02-07        kinaba: #include <functional>
9149ebcfa2 2014-02-07        kinaba: #include <complex>
9149ebcfa2 2014-02-07        kinaba: #include <queue>
9149ebcfa2 2014-02-07        kinaba: #include <stack>
9149ebcfa2 2014-02-07        kinaba: #include <cmath>
9149ebcfa2 2014-02-07        kinaba: #include <cassert>
9149ebcfa2 2014-02-07        kinaba: #include <tuple>
9149ebcfa2 2014-02-07        kinaba: using namespace std;
9149ebcfa2 2014-02-07        kinaba: typedef long long LL;
9149ebcfa2 2014-02-07        kinaba: typedef complex<double> CMP;
9149ebcfa2 2014-02-07        kinaba: 
9149ebcfa2 2014-02-07        kinaba: class PalindromicSubstringsDiv1 { public:
9149ebcfa2 2014-02-07        kinaba: 	double expectedPalindromes(vector <string> S1, vector <string> S2)
9149ebcfa2 2014-02-07        kinaba: 	{
9149ebcfa2 2014-02-07        kinaba: 		string A = accumulate(S1.begin(), S1.end(), string());
9149ebcfa2 2014-02-07        kinaba: 		string B = accumulate(S2.begin(), S2.end(), string());
9149ebcfa2 2014-02-07        kinaba: 		string S = A + B;
9149ebcfa2 2014-02-07        kinaba: 		return solve(S, S.size());
9149ebcfa2 2014-02-07        kinaba: 	}
9149ebcfa2 2014-02-07        kinaba: 
9149ebcfa2 2014-02-07        kinaba: 	double solve(const string& S, int N)
9149ebcfa2 2014-02-07        kinaba: 	{
9149ebcfa2 2014-02-07        kinaba: 		double e = 0.0;
9149ebcfa2 2014-02-07        kinaba: 		for(int c=0; c<N; ++c)
9149ebcfa2 2014-02-07        kinaba: 		{
9149ebcfa2 2014-02-07        kinaba: 			// odd
9149ebcfa2 2014-02-07        kinaba: 			double p = 1.0;
9149ebcfa2 2014-02-07        kinaba: 			e += p;  // single-letter case
9149ebcfa2 2014-02-07        kinaba: 			for(int x=1; c-x>=0 && c+x<N; ++x)
9149ebcfa2 2014-02-07        kinaba: 			{
9149ebcfa2 2014-02-07        kinaba: 				if(S[c-x]=='?' || S[c+x]=='?') p*=1/26.0;
9149ebcfa2 2014-02-07        kinaba: 				else if(S[c-x] != S[c+x]) p=0;
9149ebcfa2 2014-02-07        kinaba: 				e += p;
9149ebcfa2 2014-02-07        kinaba: 			}
9149ebcfa2 2014-02-07        kinaba: 			// even
9149ebcfa2 2014-02-07        kinaba: 			p = 1.0;
9149ebcfa2 2014-02-07        kinaba: 			for(int x=1; c-x>=0 && c+x-1<N; ++x)
9149ebcfa2 2014-02-07        kinaba: 			{
9149ebcfa2 2014-02-07        kinaba: 				if(S[c-x]=='?' || S[c+x-1]=='?') p*=1/26.0;
9149ebcfa2 2014-02-07        kinaba: 				else if(S[c-x] != S[c+x-1]) p=0;
9149ebcfa2 2014-02-07        kinaba: 				e += p;
9149ebcfa2 2014-02-07        kinaba: 			}
9149ebcfa2 2014-02-07        kinaba: 		}
9149ebcfa2 2014-02-07        kinaba: 		return e;
9149ebcfa2 2014-02-07        kinaba: 	}
9149ebcfa2 2014-02-07        kinaba: };
9149ebcfa2 2014-02-07        kinaba: 
9149ebcfa2 2014-02-07        kinaba: // BEGIN CUT HERE
9149ebcfa2 2014-02-07        kinaba: #include <ctime>
9149ebcfa2 2014-02-07        kinaba: double start_time; string timer()
9149ebcfa2 2014-02-07        kinaba:  { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
9149ebcfa2 2014-02-07        kinaba: template<typename T> ostream& operator<<(ostream& os, const vector<T>& v)
9149ebcfa2 2014-02-07        kinaba:  { os << "{ ";
9149ebcfa2 2014-02-07        kinaba:    for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it)
9149ebcfa2 2014-02-07        kinaba:    os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; }
9149ebcfa2 2014-02-07        kinaba: void verify_case(const double& Expected, const double& Received) {
9149ebcfa2 2014-02-07        kinaba:  bool ok = (abs(Expected - Received) < 1e-9);
9149ebcfa2 2014-02-07        kinaba:  if(ok) cerr << "PASSED" << timer() << endl;  else { cerr << "FAILED" << timer() << endl;
9149ebcfa2 2014-02-07        kinaba:  cerr << "\to: \"" << Expected << '\"' << endl << "\tx: \"" << Received << '\"' << endl; } }
9149ebcfa2 2014-02-07        kinaba: #define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock();
9149ebcfa2 2014-02-07        kinaba: #define END	 verify_case(_, PalindromicSubstringsDiv1().expectedPalindromes(S1, S2));}
9149ebcfa2 2014-02-07        kinaba: int main(){
9149ebcfa2 2014-02-07        kinaba: 
9149ebcfa2 2014-02-07        kinaba: CASE(0)
9149ebcfa2 2014-02-07        kinaba: 	string S1_[] = {"a","a",""};
9149ebcfa2 2014-02-07        kinaba: 	  vector <string> S1(S1_, S1_+sizeof(S1_)/sizeof(*S1_));
9149ebcfa2 2014-02-07        kinaba: 	string S2_[] = {"a"};
9149ebcfa2 2014-02-07        kinaba: 	  vector <string> S2(S2_, S2_+sizeof(S2_)/sizeof(*S2_));
9149ebcfa2 2014-02-07        kinaba: 	double _ = 6.0;
9149ebcfa2 2014-02-07        kinaba: END
9149ebcfa2 2014-02-07        kinaba: CASE(1)
9149ebcfa2 2014-02-07        kinaba: 	string S1_[] = {"z??"};
9149ebcfa2 2014-02-07        kinaba: 	  vector <string> S1(S1_, S1_+sizeof(S1_)/sizeof(*S1_));
9149ebcfa2 2014-02-07        kinaba: 	vector <string> S2;
9149ebcfa2 2014-02-07        kinaba: 	double _ = 3.115384615384615;
9149ebcfa2 2014-02-07        kinaba: END
9149ebcfa2 2014-02-07        kinaba: CASE(2)
9149ebcfa2 2014-02-07        kinaba: 	string S1_[] = {"ab","c"};
9149ebcfa2 2014-02-07        kinaba: 	  vector <string> S1(S1_, S1_+sizeof(S1_)/sizeof(*S1_));
9149ebcfa2 2014-02-07        kinaba: 	string S2_[] = {"??","a?"};
9149ebcfa2 2014-02-07        kinaba: 	  vector <string> S2(S2_, S2_+sizeof(S2_)/sizeof(*S2_));
9149ebcfa2 2014-02-07        kinaba: 	double _ = 7.315088757396449;
9149ebcfa2 2014-02-07        kinaba: END
9149ebcfa2 2014-02-07        kinaba: CASE(3)
9149ebcfa2 2014-02-07        kinaba: 	vector <string> S1;
9149ebcfa2 2014-02-07        kinaba: 	string S2_[] = {"?"};
9149ebcfa2 2014-02-07        kinaba: 	  vector <string> S2(S2_, S2_+sizeof(S2_)/sizeof(*S2_));
9149ebcfa2 2014-02-07        kinaba: 	double _ = 1.0;
9149ebcfa2 2014-02-07        kinaba: END
9149ebcfa2 2014-02-07        kinaba: CASE(4)
9149ebcfa2 2014-02-07        kinaba: 	string S1_[] = {"ab?def","?"};
9149ebcfa2 2014-02-07        kinaba: 	  vector <string> S1(S1_, S1_+sizeof(S1_)/sizeof(*S1_));
9149ebcfa2 2014-02-07        kinaba: 	string S2_[] = {"f??a"};
9149ebcfa2 2014-02-07        kinaba: 	  vector <string> S2(S2_, S2_+sizeof(S2_)/sizeof(*S2_));
9149ebcfa2 2014-02-07        kinaba: 	double _ = 12.545971779699588;
9149ebcfa2 2014-02-07        kinaba: END
9149ebcfa2 2014-02-07        kinaba: /*
9149ebcfa2 2014-02-07        kinaba: CASE(5)
9149ebcfa2 2014-02-07        kinaba: 	string S1_[] = ;
9149ebcfa2 2014-02-07        kinaba: 	  vector <string> S1(S1_, S1_+sizeof(S1_)/sizeof(*S1_));
9149ebcfa2 2014-02-07        kinaba: 	string S2_[] = ;
9149ebcfa2 2014-02-07        kinaba: 	  vector <string> S2(S2_, S2_+sizeof(S2_)/sizeof(*S2_));
9149ebcfa2 2014-02-07        kinaba: 	double _ = ;
9149ebcfa2 2014-02-07        kinaba: END
9149ebcfa2 2014-02-07        kinaba: CASE(6)
9149ebcfa2 2014-02-07        kinaba: 	string S1_[] = ;
9149ebcfa2 2014-02-07        kinaba: 	  vector <string> S1(S1_, S1_+sizeof(S1_)/sizeof(*S1_));
9149ebcfa2 2014-02-07        kinaba: 	string S2_[] = ;
9149ebcfa2 2014-02-07        kinaba: 	  vector <string> S2(S2_, S2_+sizeof(S2_)/sizeof(*S2_));
9149ebcfa2 2014-02-07        kinaba: 	double _ = ;
9149ebcfa2 2014-02-07        kinaba: END
9149ebcfa2 2014-02-07        kinaba: */
9149ebcfa2 2014-02-07        kinaba: }
9149ebcfa2 2014-02-07        kinaba: // END CUT HERE