Build a Diamond Machine

You are a skilled diamondsmith whose business is getting better by the day. Eventually, you decided that you needed to scale to keep up with demand.

• Build a diamond-cutting machine (i.e. write a function that takes in a positive integer representing the raw stone's carat).
• The output would be the finished diamond and tag indicating its quality, arranged in a list of two elements.
• The first element would be a list of lists representing the diamond.
• The second element would be a string indicating "perfect cut" if all the diamond's edges are pointy or "good cut" otherwise.

Examples

diamond(3) ➞ [
  [[0, 1, 0],
  [1, 0, 1],
  [0, 1, 0]],
  "perfect cut"
]

# Perfect edge.

diamond(4) ➞ [
  [[0, 1, 1, 0],
  [1, 0, 0, 1],
  [0, 1, 1, 0]],
  "good cut"
]

# First and last rows had blunt edges with two 1s each.

diamond(11) ➞ [
  [[0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0],
  [0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0],
  [0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0],
  [0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0],
  [0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0],
  [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1],
  [0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0],
  [0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0],
  [0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0],
  [0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0],
  [0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]],
  "perfect cut"
]

Notes

• Cut is more important than carat in the diamondsmith's world. Hence, to reduce the number of blunt edges, the machine would reduce the size of the diamond.
• In the second example of a 4-carat raw stone, the machine produces a finished diamond of only 3 rows so that there would only be 2 blunt edges, instead of 4.
• In the first and third examples, the machine was able to produce diamonds of n-rows from n-carat stones.