#include #include using namespace std; using namespace atcoder; #define rep(i,n)for (int i = 0; i < int(n); ++i) #define rrep(i,n)for (int i = int(n)-1; i >= 0; --i) #define all(x) (x).begin(), (x).end() #define rall(x) (x).rbegin(), (x).rend() template void chmax(T& a, const T& b) {a = max(a, b);} template void chmin(T& a, const T& b) {a = min(a, b);} using ll = long long; using VI = vector; using VVI = vector; using VL = vector; using VVL = vector; constexpr double INF = 1e18; struct P { int x, y, r, v, a; }; int main() { ios::sync_with_stdio(false); cin.tie(0); int n, w; cin >> n >> w; vector> dp(n, vector(1 << n, INF)); vector

ps(n); rep(i, n) cin >> ps[i].x >> ps[i].y >> ps[i].r >> ps[i].v >> ps[i].a; auto pos = [&](int i, double t) -> pair { double theta = (ps[i].v * t + ps[i].a) * (M_PI / 180); return {ps[i].x + ps[i].r * cos(theta), ps[i].y + ps[i].r * sin(theta)}; }; auto dist = [&](double x0, double y0, double t0, int i) { double l = t0, r = INF; rep(_, 120) { double c = (l >= 1 ? sqrt(l * r) : (l + r) / 2); auto [tmp_x, tmp_y] = pos(i, c); tmp_x -= x0; tmp_y -= y0; double tmp_dist = tmp_x * tmp_x + tmp_y * tmp_y; double d = (c - t0) * w; if (d * d >= tmp_dist) r = c; else l = c; } return r; }; rep(i, n) { dp[i][1 << i] = dist(0, 0, 0, i); } rep(s, 1 << n) rep(i, n) { double t0 = dp[i][s]; auto [x0, y0] = pos(i, t0); if (t0 == INF) continue; rep(j, n) { if (s & 1 << j) continue; int ns = s | 1 << j; chmin(dp[j][ns], dist(x0, y0, t0, j)); } } double ans = INF; rep(i, n) chmin(ans, dp[i][~(~0 << n)]); cout << fixed << setprecision(16) << ans << endl; }