#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; double dist(double sx, double sy, double tx, double ty) { return sqrt((tx - sx) * (tx - sx) + (ty - sy) * (ty - sy)); } int main() { int n, w; cin >> n >> w; vector x(n), y(n), r(n), v(n), a(n); REP(i, n) cin >> x[i] >> y[i] >> r[i] >> v[i] >> a[i]; auto sushi_pos = [&](double t, int sushi) -> pair { return {x[sushi] + r[sushi] * cos((v[sushi] * t + a[sushi]) * M_PI / 180), y[sushi] + r[sushi] * sin((v[sushi] * t + a[sushi]) * M_PI / 180)}; }; auto f = [&](double t, double runx, double runy, int sushi) { double lb = t, ub = t + dist(runx, runy, x[sushi], y[sushi]) / w + 1000; REP(_, 80) { double m = (lb + ub) / 2; auto [sx, sy] = sushi_pos(m, sushi); (dist(runx, runy, sx, sy) < w * (m - t + EPS) ? ub : lb) = m; } return ub; }; vector dp(1 << n, vector(n, 1. * LINF)); REP(i, n) dp[1 << i][i] = f(0, 0, 0, i); FOR(b, 1, 1 << n) REP(p, n) { if (b >> p & 1) { auto [sx, sy] = sushi_pos(dp[b][p], p); REP(i, n) { if (b >> i & 1) continue; chmin(dp[b | (1 << i)][i], f(dp[b][p], sx, sy, i)); } } } double ans = LINF; REP(i, n) chmin(ans, dp[(1 << n) - 1][i]); cout << ans << '\n'; return 0; }