shortestpathcube

Write a function P3:

• A point P on a surface of a cube C which has (0, 0, 0) and (100, 100, 100) as its vertex, with its planes parallel to the planes made by axes.

• input parameter: x, y, z which make a point P(x, y, z) be on the surface of C

  • Each of x, y, z is either an integer or a float.

• return value: the minimum distance of (x, y, z) to (100, 100, 100) with these following restrictions:

  • You have to be on the surface of C.
  • You can move to different planes by passing an edge.
  • The answer must have an absolute or relative error less than 10−6.