2022-6: Pyramid Scheme
Write a monadic function that:
- takes an argument n that is an integer scalar in the range 0-100.
- returns a square matrix "pyramid" with 0⌈¯1+2×n rows and columns of n increasing concentric levels.
By this we mean that the center element of the matrix will be n, surrounded on all sides by n-1.
Hint: The functions minimum X⌊Y and reverse ⌽Y, and the outer product operator X∘.gY could be helpful.
Examples:
(your_function) 3
1 1 1 1 1
1 2 2 2 1
1 2 3 2 1
1 2 2 2 1
1 1 1 1 1
(your_function) 5
1 1 1 1 1 1 1 1 1
1 2 2 2 2 2 2 2 1
1 2 3 3 3 3 3 2 1
1 2 3 4 4 4 3 2 1
1 2 3 4 5 4 3 2 1
1 2 3 4 4 4 3 2 1
1 2 3 3 3 3 3 2 1
1 2 2 2 2 2 2 2 1
1 1 1 1 1 1 1 1 1
(your_function) 1 ⍝ should return 1 1⍴1
1
(your_function) 0 ⍝ should return 0 0⍴0
your_function ←
Solutions
