#define _USE_MATH_DEFINES #include using namespace std; #define FOR(i,m,n) for(int i=(m);i<(n);++i) #define REP(i,n) FOR(i,0,n) #define ALL(v) (v).begin(),(v).end() using ll = long long; constexpr int INF = 0x3f3f3f3f; constexpr long long LINF = 0x3f3f3f3f3f3f3f3fLL; constexpr double EPS = 1e-8; constexpr int MOD = 1000000007; // constexpr int MOD = 998244353; constexpr int dy[] = {1, 0, -1, 0}, dx[] = {0, -1, 0, 1}; constexpr int dy8[] = {1, 1, 0, -1, -1, -1, 0, 1}, dx8[] = {0, -1, -1, -1, 0, 1, 1, 1}; template inline bool chmax(T &a, U b) { return a < b ? (a = b, true) : false; } template inline bool chmin(T &a, U b) { return a > b ? (a = b, true) : false; } struct IOSetup { IOSetup() { std::cin.tie(nullptr); std::ios_base::sync_with_stdio(false); std::cout << fixed << setprecision(20); } } iosetup; int main() { int x, y, z, w; cin >> x >> y >> z >> w; double lb = 0, ub = 1. * x / z - y; REP(_, 80) { double a = (lb + ub) / 2; double l = sqrt(x / (a + y) * x / (a + y) + 1. * y * y); double r = sqrt((a + y) * (a + y) + 1. * z * z) + w; (l > r ? lb : ub) = a; } cout << x - (lb * (x / (lb + y) - z) + (lb + y) * z + x / (lb + y) * y) / 2 << '\n'; return 0; }