Mechanical CAD: Axis-Aligned Bounding Box (AABB) Collision Detection

In 3D mechanical packaging and CAD collision detection: Two components are bounded by **3D Axis-Aligned Bounding Boxes (AABB)**. Each AABB is defined by its minimum corner `[min_x, min_y, min_z]` and maximum corner `[max_x, max_y, max_z]`. Write a function that returns `true` if the two bounding boxes overlap in 3D space, or `false` if they are separated. Boxes are considered colliding if they overlap along all three Cartesian axes $X, Y, Z$: $$\text{overlap} = (\min A_x \le \max B_x \land \max A_x \ge \min B_x) \land (\min A_y \le \max B_y \land \max A_y \ge \min B_y) \land (\min A_z \le \max B_z \land \max A_z \ge \min B_z)$$ ### Input Format - Line 1 contains six floats: `minAx minAy minAz maxAx maxAy maxAz`. - Line 2 contains six floats: `minBx minBy minBz maxBx maxBy maxBz`. ### Output Format - Print `true` or `false`. ### Constraints - `min_x <= max_x`, `min_y <= max_y`, `min_z <= max_z` for both boxes.