#include #include using namespace std; using namespace atcoder; #define rep(i, n) REP(i, 0, n) #define REP(i, s, e) for (ll i = (s); i < (ll)(e); i++) #define repr(i, n) REPR(i, n, 0) #define REPR(i, s, e) for (ll i = (ll)(s - 1); i >= (ll)(e); i--) #define all(r) r.begin(), r.end() #define rall(r) r.rbegin(), r.rend() typedef long long ll; typedef vector vi; typedef vector vl; template bool chmax(T& a, const U& b) { if (a >= b) return false; a = b; return true; } template bool chmin(T& a, const U& b) { if (a <= b) return false; a = b; return true; } void yes_no(bool f, string yes = "Yes", string no = "No") { cout << (f ? yes : no) << "\n"; } void solve() { int a; cin >> a; a = 80 - a; using D = double; vector p(3); rep(i, 3) cin >> p[i], p[i] /= 100.0; const int m = 14; vector dp(a + 1, vector(m + 1, (D)0)); vector used(a + 1, vector(m + 1, (int)0)); auto dfs = [&](auto self, int x, int len) -> D { if (used[x][len]) return dp[x][len]; used[x][len] = 1; auto& ret = dp[x][len]; if (x == 0) return ret = len; if (len == 0) return ret = 0; if (len == 1) { D t = p[0]; return ret = self(self, x - 1, 1) * (1 - t); } else { rep(mask, 1 << len) { D t = 1; vi v; int cnt = 0; rep(i, len) { if (mask & (1 << i)) { if (i == 0 || i + 1 == len) t *= p[1]; else t *= p[2]; if (cnt > 0) v.emplace_back(cnt); cnt = 0; } else { if (i == 0 || i + 1 == len) t *= (1 - p[1]); else t *= (1 - p[2]); ++cnt; } } if (cnt > 0) v.emplace_back(cnt); rep(i, v.size()) ret += self(self, x - 1, v[i]) * t; } } return ret; }; D ans = dfs(dfs, a, m) * 2; cout << fixed << setprecision(15); cout << ans << "\n"; } int main() { cin.tie(0); ios::sync_with_stdio(false); int t = 1; // multi-testcase // cin >> t; rep(ti, t) solve(); return 0; }