#include <iostream> #include <math.h> #include <iomanip> #include <algorithm> #define eps 1e-8 #define zero(x) (((x)>0?(x):-(x))<eps) struct point3{ double x, y, z; }; struct line3{ point3 a, b; }; struct plane3{ point3 a, b, c; }; using namespace std; point3 xmult(point3 u, point3 v) { point3 ret; ret.x = u.y*v.z - v.y*u.z; ret.y = u.z*v.x - u.x*v.z; ret.z = u.x*v.y - u.y*v.x; return ret; } point3 subt(point3 u, point3 v) { point3 ret; ret.x = u.x - v.x; ret.y = u.y - v.y; ret.z = u.z - v.z; return ret; } double dmult(point3 u, point3 v) { return u.x*v.x + u.y*v.y + u.z*v.z; } double vlen(point3 p) { return sqrt(p.x*p.x + p.y*p.y + p.z*p.z); } double linetoline(line3 u, line3 v) { point3 n = xmult(subt(u.a, u.b), subt(v.a, v.b)); return fabs(dmult(subt(u.a, v.a), n)) / vlen(n); } double linetoline(point3 u1, point3 u2, point3 v1, point3 v2) { point3 n = xmult(subt(u1, u2), subt(v1, v2)); return fabs(dmult(subt(u1, v1), n)) / vlen(n); } int main() { int T; cin >> T; while (T--) { point3 a, b, c, d; cin >> c.x >> c.y >> c.z >> d.x >> d.y >> d.z >> a.x >> a.y >> a.z >> b.x >> b.y >> b.z; cout << fixed << setprecision(6) << linetoline(a, b, c, d) << endl; double H = b.x - a.x, I = b.y - a.y, J = b.z - a.z; double K = d.x - c.x, L = d.y - c.y, M = d.z - c.z; double N = H * I * L - I * I * K - J * J * K + H * J * M; double O = H * H * L - H * I * K - I * J * M + J * J * L; double P = H * J * K - H * H * M - I * I * M + I *J * L; double Q = -a.x * N + a.y * O - a.z * P; double k = (O * c.y - N * c.x - P * c.z - Q) / (N * K - O * L + P * M); cout << fixed << setprecision(6) << K * k + c.x << ' ' << L * k + c.y << ' ' << M * k + c.z << ' '; swap(a, c); swap(b, d); H = b.x - a.x, I = b.y - a.y, J = b.z - a.z; K = d.x - c.x, L = d.y - c.y, M = d.z - c.z; N = H * I * L - I * I * K - J * J * K + H * J * M; O = H * H * L - H * I * K - I * J * M + J * J * L; P = H * J * K - H * H * M - I * I * M + I *J * L; Q = -a.x * N + a.y * O - a.z * P; k = (O * c.y - N * c.x - P * c.z - Q) / (N * K - O * L + P * M); cout << fixed << setprecision(6) << K * k + c.x << ' ' << L * k + c.y << ' ' << M * k + c.z << endl; } }