RegEx to match days hours minutes with spaces - regex

Question

I need to make sure the users' time stamp input is
(0 to infinity) days
(0 to 23) hours
(h to 59) minutes
with spaces between, so good example is
22h 40m
2d 20m
1d
but not
0d
2d22h20m
what i have so far is:
^(0|[1-9][0-9]*d)?( [0|[1-5][0-9]*h)?(0| [1-5][0-9]*m)?$
which gets:
22d 3h 40m
2d 40m
but not
40m
40h
it seems trivial, and I've composed it from several SO questions, but nothing matches exactly this.
Edit
just note that my original attempt has a mistake that allows 1-59 hours.

Answer 1

It is quite verbose, but one option could be to use an alternation and list all the allowed possibilities using your patterns for d, h and m.
Matching (d h m) or (d h) or (d m) or (h m) or (d) or (h) or (m) you might use:
^(?:[1-9][0-9]*d (?:2[0-3]|1[0-9]|[1-9])h (?:[1-5][0-9]|[1-9])m|[1-9][0-9]*d (?:(?:2[0-3]|1[0-9]|[1-9])h|(?:[1-5][0-9]|[1-9])m)|(?:2[0-3]|1[0-9]|[1-9])h (?:[1-5][0-9]|[1-9])m|[1-9][0-9]*d|(?:2[0-3]|1[0-9]|[1-9])h|(?:[1-5][0-9]|[1-9])m)$
regex101 demo
That will match:
^ Start of string
(?: Non capturing group
[1-9][0-9]*d (?:2[0-3]|1[0-9]|[1-9])h (?:[1-5][0-9]|[1-9])m Match full part
| Or
[1-9][0-9]*d Match d
(?: Non capturing group
(?:2[0-3]|1[0-9]|[1-9])h Match h
| Or
(?:[1-5][0-9]|[1-9])m Match m
) close non capturing group
| Or
(?:2[0-3]|1[0-9]|[1-9])h (?:[1-5][0-9]|[1-9])m Match h and m
| Or
[1-9][0-9]*d Match d
| Or
(?:2[0-3]|1[0-9]|[1-9])h Match h
| Or
(?:[1-5][0-9]|[1-9])m Mach m
) Close non capturing group
$ End of string

Answer 2

Edit
The only suggestions (so far) are really to list all possibilities. So I'll be doing that here.. just note that my original attempt has a mistake that allows 1-59 hours.
regex101
^((([1-9][0-9])d (2[0-3]|1[0-9]|[1-9])h ([1-5][0-9]|[1-9])m)|(([1-9][0-9])d (2[0-3]|1[0-9]|[1-9])h)|(([1-9][0-9])d ([1-5][0-9]|[1-9])m)|((2[0-3]|1[0-9]|[1-9])h ([1-5][0-9]|[1-9])m)|([1-9][0-9])d|(2[0-3]|1[0-9]|[1-9])h|([1-5][0-9]|[1-9])m)$
meaning: (d h m) or (d h) or (d m) or (h m) or (d) or (h) or (m)