...but hey, no need to be strict.
Given a non-empty array of strictly positive integers, determine if it is:
- Monotone strictly decreasing. This means that each entry is strictly less than the previous one.
- Monotone non-increasing, but not strictly decreasing. This means that each entry is less than or equal to the preceding, and the array does not fall in the above category.
- None of the above.
Note the following corner cases:
- An array with a single number is monotone strictly decreasing (vacuously so).
- An array with the same number repeated is monotone non-increasing, but not strictly decreasing.
Rules
You may provide a program or a function
Input can be taken in any reasonable format: array, list, string with numbers separated by spaces, ...
You can choose any three consistent outputs for the three categories respectively. For example, outputs can be numbers 0
, 1
, 2
; or strings 1 1
, 1 0
, empty string.
Shortest code in bytes wins
Test cases
Monotone strictly decreasing:
7 5 4 3 1
42 41
5
Monotone non-increasing, but not strictly decreasing:
27 19 19 10 3
6 4 2 2 2
9 9 9 9
None of the above:
1 2 3 2
10 9 8 7 12
4 6 4 4 2