#include using namespace std; #define PII pair #define VI vector #define VPII vector #define LL long long #define f first #define s second #define MP make_pair #define PB push_back #define LD long double #define endl '\n' #define ALL(c) (c).begin(), (c).end() #define SIZ(c) (int)(c).size() #define REP(i, n) for (int i = 0; i < (int)(n); i++) #define FOR(i, b, e) for (int i = (b); i <= (int)(e); i++) #define FORD(i, b, e) for (int i = (b); i >= (int)(e); i--) #define ll LL #define mp MP #define pb PB #define st f #define nd s #define eb emplace_back const int inf = 1e9 + 7; const LL INF = 1e18L + 7; #define sim template ostream & operator << (ostream &p, pair x) {return p << "<" << x.f << ", " << x.s << ">";} sim> auto operator << (ostream &p, n y) -> typename enable_if::value, decltype(y.begin(), p)>::type {int o = 0; for (auto c : y) {if (o++) p << ", "; p << c;} return p << "}";} void dor() {cerr << endl;} sim, class...s> void dor(n p, s...y) {cerr << p << " "; dor(y...);} sim, class s> void mini(n &p, s y) {if (p > y) p = y;} sim, class s> void maxi(n &p, s y) {if (p < y) p = y;} #ifdef DEB #define debug(...) dor(__FUNCTION__, ":", __LINE__, ": ", __VA_ARGS__) #else #define debug(...) #endif #define I(x) #x " =", (x), " " #define A(a, i) #a "[" #i " =", i, "] =", a[i], " " const int M = 1024 * 1024; LD tf, vf, hf, td, vd, hd, vp; bool check(LD t, LD h, LD dd) { LD delta = vp * vp - 6 * h; if (vd * t < dd) { return false; } if (delta < 0) { return false; } LD tt; if (vp >= sqrt(delta)) { tt = (vp - sqrt(delta)) / 3; } else { tt = (vp + sqrt(delta)) / 3; } return tt <= t; } int main() { scanf("%Lf%Lf%Lf%Lf%Lf%Lf", &tf, &vf, &hf, &td, &vd, &hd); td -= tf; vp = sqrt(6 * hd); LD st = 0, en = vf * sqrt(2 * hf), res = max(en / vf, en / vd + td) + en / vd, mid = (st + en) / 2; //printf("%Lf\n", res); FOR(i, 1, 100) { LD t = mid / vf; LD h = hf - t * t / 2; if (check(t - td, h, mid)) { res = min(res, t + mid / vd); en = mid; } else { st = mid; } mid = (st + en) / 2; } printf("%.9Lf\n", res + tf); }