// includes #include using namespace std; // macros #define pb emplace_back #define mk make_pair #define FOR(i, a, b) for(int i=(a);i<(b);++i) #define rep(i, n) FOR(i, 0, n) #define rrep(i, n) for(int i=((int)(n)-1);i>=0;i--) #define irep(itr, st) for(auto itr = (st).begin(); itr != (st).end(); ++itr) #define irrep(itr, st) for(auto itr = (st).rbegin(); itr != (st).rend(); ++itr) #define all(x) (x).begin(),(x).end() #define sz(x) ((int)(x).size()) #define UNIQUE(v) v.erase(unique(v.begin(), v.end()), v.end()) #define bit(n) (1LL<<(n)) // functions template bool chmax(T &a, const T &b){if(a < b){a = b; return 1;} return 0;} template bool chmin(T &a, const T &b){if(a > b){a = b; return 1;} return 0;} template istream &operator>>(istream &is, vector &vec){for(auto &v: vec)is >> v; return is;} template ostream &operator<<(ostream &os, const vector& vec){for(int i = 0; i < vec.size(); i++){ os << vec[i]; if(i + 1 != vec.size())os << " ";} return os;} template ostream &operator<<(ostream &os, const set& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;} template ostream &operator<<(ostream &os, const unordered_set& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;} template ostream &operator<<(ostream &os, const multiset& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;} template ostream &operator<<(ostream &os, const unordered_multiset& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;} template ostream &operator<<(ostream &os, const pair &p){os << p.first << " " << p.second; return os;} template ostream &operator<<(ostream &os, const map &mp){for(auto itr = mp.begin(); itr != mp.end(); ++itr){ os << itr->first << ":" << itr->second; auto titr = itr; if(++titr != mp.end())os << " "; } return os;} template ostream &operator<<(ostream &os, const unordered_map &mp){for(auto itr = mp.begin(); itr != mp.end(); ++itr){ os << itr->first << ":" << itr->second; auto titr = itr; if(++titr != mp.end())os << " "; } return os;} // types using ll = long long int; using P = pair; // constants const int inf = 1e9; const ll linf = 1LL << 50; const double EPS = 1e-10; const int mod = 1000000007; const int dx[4] = {-1, 0, 1, 0}; const int dy[4] = {0, -1, 0, 1}; // io struct fast_io{ fast_io(){ios_base::sync_with_stdio(false); cin.tie(0); cout << fixed << setprecision(20);} } fast_io_; double dp[30][1<<14]; double p = 1.; int st = 0; double p0, p1, p2; void dfs(int k, int i, int j){ if(k == 14){ dp[i+1][st] += p; return; } int tst = st; double tp = p; if((j >> k) & 1){ double pl = 0.; int cnt = 0; if(k == 0 || !((j >> (k-1)) & 1))cnt++; if(k == 13 || !((j >> (k+1)) & 1))cnt++; if(cnt == 0)pl = p2; else if(cnt == 1)pl = p1; else if(cnt == 2)pl = p0; if(pl > 0.){ p *= pl; st = st & (~(bit(k))); dfs(k + 1, i, j); p = tp; st = tst; } if(1. - pl > 0){ st = st | bit(k); p *= (1. - pl); dfs(k + 1, i, j); p = tp; st = tst; } }else{ dfs(k + 1, i, j); } } int main(int argc, char const* argv[]) { int a; cin >> a; cin >> p0 >> p1 >> p2, p0 /= 100., p1 /= 100., p2 /= 100.; dp[0][bit(14)-1] = 1.; for(int i = 0; i < 80 - a; i++){ rep(j, bit(14)){ p = dp[i][j]; dfs(0, i, j); } } double res = 0.; rep(i, bit(14)){ res += __builtin_popcount(i) * dp[80-a][i]; } cout << res * 2. << endl; return 0; }