#define _CRT_SECURE_NO_WARNINGS //#define _GLIBCXX_DEBUG #include using namespace std; typedef long long ll; typedef vector vi; typedef vector vvi; typedef pair pii; #define all(c) (c).begin(), (c).end() #define loop(i,a,b) for(ll i=a; i ostream & operator<<(ostream & os, vector const &); template typename enable_if<(n>=sizeof...(T))>::type _ot(ostream &, tuple const &){} template typename enable_if<(n< sizeof...(T))>::type _ot(ostream & os, tuple const & t){ os << (n==0?"":" ") << get(t); _ot(os, t); } template ostream & operator<<(ostream & os, tuple const & t){ _ot<0>(os, t); return os; } template ostream & operator<<(ostream & os, pair const & p){ return os << "(" << p.first << ", " << p.second << ") "; } template ostream & operator<<(ostream & os, vector const & v){ rep(i,v.size()) os << v[i] << (i+1==(int)v.size()?"":" "); return os; } #ifdef DEBUG #define dump(...) (cerr<<#__VA_ARGS__<<" = "< vd; typedef vector vvd; double dp_[50][30]; double & dp(int i, int j){ return dp_[i][j+2]; } double inv(double x){ return 1-x; } int main(){ int A; while(cin >> A){ double p0,p1,p2; cin >> p0 >> p1 >> p2; p1/=100; p2/=100; p0/=100; int N = 14; memset(dp_,0,sizeof(dp_)); int D = 80-A; rep(i,N) dp(0,i) = 1; dp(0,-1) = dp(0,N) = 0; rep(i,D){ rep(j,N){ // dp(i+1,j) *= dp(i,j); dp(i+1,j) += dp(i,j+1) * dp(i,j-1) * inv(p2); dp(i+1,j) += dp(i,j+1) * inv(dp(i,j-1)) * inv(p1); dp(i+1,j) += inv(dp(i,j+1)) * dp(i,j-1) * inv(p1); dp(i+1,j) += inv(dp(i,j+1)) * inv(dp(i,j-1)) * inv(p0); dp(i+1,j) *= dp(i,j); } // rep(j,N){ // cout << dp(i+1,j) << " "; // } // cout << endl; } double ans = 0; rep(i,N) ans += dp(D,i); ans += ans; printf("%lf\n",ans); } }