Alphabet Rain

The Task:

The basic premise is to print out the input string and then repeat each character vertically, based on it's (0-indexed) position in the (case-insensitive) alphabet A-Z. A is at location 0 so is not repeated, e is at position 4 so is repeated 4 times, P is at position 15 so is repeated 15 times, ! is not in A-Z so is repeated 0 times, etc.

For clarity, anything that falls outside of the range B-Zb-z, for example digits or special characters, will not be repeated, and thus will only appear on the first line.

This is code-golf, so shortest solution in each language is the winner.

Input:

• Input will be in the standard printable ASCII character set, from 32 up to 126 ~.
• The input string will be 1 character long or longer.
• There will not be any leading or trailing whitespace.
• You can take take input as a string ("hello") or list of characters ( ["h", "e", "l", "l", "o"])

Examples:

Input of aaaa gives:

aaaa

Input of abcda gives:

abcda
 bcd
 cd
 d

Input of Programming Puzzles & Code Golf!, gives:

Programming Puzzles & Code Golf!
Progr mming Puzzles Code Golf
Progr mming Puzzles Code Golf
Progr mming Puzzles ode Golf
Progr mming Puzzles o e Golf
Progr mming Puzzl s o Golf
Progr mming Puzzl s o Gol
Pro r mmin Puzzl s o ol
Pro r mmin Puzzl s o ol
Pro r mm n Puzzl s o ol
Pro r mm n Puzzl s o ol
Pro r mm n Puzzl s o ol
Pro r mm n Puzz s o o
Pro r n Puzz s o o
Pro r Puzz s o o
Pr r Puzz s
 r r uzz s
 r r uzz s
 uzz s
 uzz
 uzz
 zz
 zz
 zz
 zz
 zz

Input of ~|[abc<0>cba]|~, gives:

~|[abc<0>cba]|~
 bc cb
 c c

Notes:

• standard loopholes apply
• output can be a list of strings, but:
• extraneous trailing newlines are not allowed (single \n on final line is acceptable)
• output can be a list of lists of characters, so long as it looks like it's raining characters
• no leading newline
• to our Nordic users who have a few extra letters in their "A-Z" alphabet, feel free to support them, but it's not part of the challenge