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9ce62cec1c 2015-03-26        kinaba: #include <iostream>
9ce62cec1c 2015-03-26        kinaba: #include <sstream>
9ce62cec1c 2015-03-26        kinaba: #include <iomanip>
9ce62cec1c 2015-03-26        kinaba: #include <vector>
9ce62cec1c 2015-03-26        kinaba: #include <string>
9ce62cec1c 2015-03-26        kinaba: #include <map>
9ce62cec1c 2015-03-26        kinaba: #include <set>
9ce62cec1c 2015-03-26        kinaba: #include <algorithm>
9ce62cec1c 2015-03-26        kinaba: #include <numeric>
9ce62cec1c 2015-03-26        kinaba: #include <iterator>
9ce62cec1c 2015-03-26        kinaba: #include <functional>
9ce62cec1c 2015-03-26        kinaba: #include <complex>
9ce62cec1c 2015-03-26        kinaba: #include <queue>
9ce62cec1c 2015-03-26        kinaba: #include <stack>
9ce62cec1c 2015-03-26        kinaba: #include <cmath>
9ce62cec1c 2015-03-26        kinaba: #include <cassert>
9ce62cec1c 2015-03-26        kinaba: #include <tuple>
9ce62cec1c 2015-03-26        kinaba: using namespace std;
9ce62cec1c 2015-03-26        kinaba: typedef long long LL;
9ce62cec1c 2015-03-26        kinaba: typedef complex<double> CMP;
9ce62cec1c 2015-03-26        kinaba: 
9ce62cec1c 2015-03-26        kinaba: class SquareScores { public:
9ce62cec1c 2015-03-26        kinaba: 	double calcexpectation(vector <int> p, string s)
9ce62cec1c 2015-03-26        kinaba: 	{
9ce62cec1c 2015-03-26        kinaba: 		double ans = 0.0;
9ce62cec1c 2015-03-26        kinaba: 		for(int k=0; k<s.size(); ++k) {
9ce62cec1c 2015-03-26        kinaba: 			int num_q = 0;
9ce62cec1c 2015-03-26        kinaba: 			char ch = '*';
9ce62cec1c 2015-03-26        kinaba: 			for(int e=k; e<s.size(); ++e) {
9ce62cec1c 2015-03-26        kinaba: 				if(s[e]=='?')
9ce62cec1c 2015-03-26        kinaba: 					num_q++;
9ce62cec1c 2015-03-26        kinaba: 				if(ch == '*') {
9ce62cec1c 2015-03-26        kinaba: 					if(s[e] != '?')
9ce62cec1c 2015-03-26        kinaba: 						ch = s[e];
9ce62cec1c 2015-03-26        kinaba: 				} else {
9ce62cec1c 2015-03-26        kinaba: 					if(s[e] != '?' && s[e] != ch)
9ce62cec1c 2015-03-26        kinaba: 						break;
9ce62cec1c 2015-03-26        kinaba: 				}
9ce62cec1c 2015-03-26        kinaba: 
9ce62cec1c 2015-03-26        kinaba: 				for(int ci=0; ci<p.size(); ++ci)
9ce62cec1c 2015-03-26        kinaba: 					if(ch=='*' || ch-'a'==ci)
9ce62cec1c 2015-03-26        kinaba: 						ans += pow(p[ci]/100.0, num_q);
9ce62cec1c 2015-03-26        kinaba: 			}
9ce62cec1c 2015-03-26        kinaba: 		}
9ce62cec1c 2015-03-26        kinaba: 		return ans;
9ce62cec1c 2015-03-26        kinaba: 	}
9ce62cec1c 2015-03-26        kinaba: };
9ce62cec1c 2015-03-26        kinaba: 
9ce62cec1c 2015-03-26        kinaba: // BEGIN CUT HERE
9ce62cec1c 2015-03-26        kinaba: #include <ctime>
9ce62cec1c 2015-03-26        kinaba: double start_time; string timer()
9ce62cec1c 2015-03-26        kinaba:  { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
9ce62cec1c 2015-03-26        kinaba: template<typename T> ostream& operator<<(ostream& os, const vector<T>& v)
9ce62cec1c 2015-03-26        kinaba:  { os << "{ ";
9ce62cec1c 2015-03-26        kinaba:    for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it)
9ce62cec1c 2015-03-26        kinaba:    os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; }
9ce62cec1c 2015-03-26        kinaba: void verify_case(const double& Expected, const double& Received) {
9ce62cec1c 2015-03-26        kinaba:  bool ok = (abs(Expected - Received) < 1e-9);
9ce62cec1c 2015-03-26        kinaba:  if(ok) cerr << "PASSED" << timer() << endl;  else { cerr << "FAILED" << timer() << endl;
9ce62cec1c 2015-03-26        kinaba:  cerr << "\to: \"" << Expected << '\"' << endl << "\tx: \"" << Received << '\"' << endl; } }
9ce62cec1c 2015-03-26        kinaba: #define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock();
9ce62cec1c 2015-03-26        kinaba: #define END	 verify_case(_, SquareScores().calcexpectation(p, s));}
9ce62cec1c 2015-03-26        kinaba: int main(){
9ce62cec1c 2015-03-26        kinaba: 
9ce62cec1c 2015-03-26        kinaba: CASE(0)
9ce62cec1c 2015-03-26        kinaba: 	int p_[] = {1, 99};
9ce62cec1c 2015-03-26        kinaba: 	  vector <int> p(p_, p_+sizeof(p_)/sizeof(*p_));
9ce62cec1c 2015-03-26        kinaba: 	string s = "aaaba";
9ce62cec1c 2015-03-26        kinaba: 	double _ = 8.0;
9ce62cec1c 2015-03-26        kinaba: END
9ce62cec1c 2015-03-26        kinaba: CASE(1)
9ce62cec1c 2015-03-26        kinaba: 	int p_[] = {10, 20, 70};
9ce62cec1c 2015-03-26        kinaba: 	  vector <int> p(p_, p_+sizeof(p_)/sizeof(*p_));
9ce62cec1c 2015-03-26        kinaba: 	string s = "aa?bbbb";
9ce62cec1c 2015-03-26        kinaba: 	double _ = 15.0;
9ce62cec1c 2015-03-26        kinaba: END
9ce62cec1c 2015-03-26        kinaba: CASE(2)
9ce62cec1c 2015-03-26        kinaba: 	int p_[] = {10, 20, 30, 40};
9ce62cec1c 2015-03-26        kinaba: 	  vector <int> p(p_, p_+sizeof(p_)/sizeof(*p_));
9ce62cec1c 2015-03-26        kinaba: 	string s = "a??c?dc?b";
9ce62cec1c 2015-03-26        kinaba: 	double _ = 11.117;
9ce62cec1c 2015-03-26        kinaba: END
9ce62cec1c 2015-03-26        kinaba: CASE(3)
9ce62cec1c 2015-03-26        kinaba: 	int p_[] = {25, 25, 21, 2, 2, 25};
9ce62cec1c 2015-03-26        kinaba: 	  vector <int> p(p_, p_+sizeof(p_)/sizeof(*p_));
9ce62cec1c 2015-03-26        kinaba: 	string s = "a??b???????ff??e";
9ce62cec1c 2015-03-26        kinaba: 	double _ = 21.68512690712425;
9ce62cec1c 2015-03-26        kinaba: END
9ce62cec1c 2015-03-26        kinaba: CASE(4)
9ce62cec1c 2015-03-26        kinaba: 	int p_[] = {4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4};
9ce62cec1c 2015-03-26        kinaba: 	  vector <int> p(p_, p_+sizeof(p_)/sizeof(*p_));
9ce62cec1c 2015-03-26        kinaba: 	string s = "??????????????????????????????";
9ce62cec1c 2015-03-26        kinaba: 	double _ = 31.16931963781721;
9ce62cec1c 2015-03-26        kinaba: END
9ce62cec1c 2015-03-26        kinaba: CASE(5)
9ce62cec1c 2015-03-26        kinaba: 	int p_[] = {4, 3, 4, 3, 8, 2, 4, 3, 4, 4, 3, 2, 4, 4, 3, 4, 2, 4, 7, 6, 4, 4, 3, 4, 4, 3};
9ce62cec1c 2015-03-26        kinaba: 	  vector <int> p(p_, p_+sizeof(p_)/sizeof(*p_));
9ce62cec1c 2015-03-26        kinaba: 	string s = "makigotapresentfromniko";
9ce62cec1c 2015-03-26        kinaba: 	double _ = 23.0;
9ce62cec1c 2015-03-26        kinaba: END
9ce62cec1c 2015-03-26        kinaba: /*
9ce62cec1c 2015-03-26        kinaba: CASE(6)
9ce62cec1c 2015-03-26        kinaba: 	int p_[] = ;
9ce62cec1c 2015-03-26        kinaba: 	  vector <int> p(p_, p_+sizeof(p_)/sizeof(*p_));
9ce62cec1c 2015-03-26        kinaba: 	string s = ;
9ce62cec1c 2015-03-26        kinaba: 	double _ = ;
9ce62cec1c 2015-03-26        kinaba: END
9ce62cec1c 2015-03-26        kinaba: CASE(7)
9ce62cec1c 2015-03-26        kinaba: 	int p_[] = ;
9ce62cec1c 2015-03-26        kinaba: 	  vector <int> p(p_, p_+sizeof(p_)/sizeof(*p_));
9ce62cec1c 2015-03-26        kinaba: 	string s = ;
9ce62cec1c 2015-03-26        kinaba: 	double _ = ;
9ce62cec1c 2015-03-26        kinaba: END
9ce62cec1c 2015-03-26        kinaba: */
9ce62cec1c 2015-03-26        kinaba: }
9ce62cec1c 2015-03-26        kinaba: // END CUT HERE