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