In `@algorithms/greedy/largest_palindromic_number/__init__.py`:
- Around line 46-65: The middle-digit selection loop currently iterates digits
with "for digit in range(9, 0, -1)" which skips '0' and causes wrong results for
inputs where 0 is the only odd-count digit; update the loop to include 0 (e.g.,
range(9, -1, -1) or otherwise fall back to checking digit '0') so that
digit_counter['0'] can be chosen as result when appropriate, and remember to
decrement digit_counter[digit_str] when you pick '0' just like for other digits;
keep the subsequent symmetric-pair logic (the number loop that divides counts by
two and builds temp/result) unchanged and ensure final return still uses
result.strip("0") or "0".

In `@algorithms/greedy/largest_palindromic_number/README.md`:
- Line 63: Update the time complexity sentence in the README.md (the line
stating "The time complexity of the solution is O(n), where n is the length of
the nums string.") to replace "nums string" with "num string" so it reads
"...where n is the length of the num string."

In `@DIRECTORY.md`:
- Around line 144-145: The markdown list indentation is inconsistent for the
"Largest Palindromic Number" entry and its test link; update the second bullet
(the line starting with "[Test Largest Palindromic
Number](https://github.com/.../test_largest_palindromic_number.py)") to the
correct nesting level by indenting it to match the configured list nesting (use
the same number of spaces as other sub-items, e.g., two spaces) so the "Largest
Palindromic Number" header and its test link have consistent indentation and
satisfy MD007.