pre-commit: Upgrade psf/black for stable style 2023 (#8110)

* pre-commit: Upgrade psf/black for stable style 2023

Updating https://github.com/psf/black ... updating 22.12.0 -> 23.1.0 for their `2023 stable style`.
* https://github.com/psf/black/blob/main/CHANGES.md#2310

> This is the first [psf/black] release of 2023, and following our stability policy, it comes with a number of improvements to our stable style…

Also, add https://github.com/tox-dev/pyproject-fmt and https://github.com/abravalheri/validate-pyproject to pre-commit.

I only modified `.pre-commit-config.yaml` and all other files were modified by pre-commit.ci and psf/black.

* [pre-commit.ci] auto fixes from pre-commit.com hooks

for more information, see https://pre-commit.ci

---------

Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>

matrix/largest_square_area_in_matrix.py

@@ -59,7 +59,6 @@ def largest_square_area_in_matrix_top_down_approch(
     """
 
     def update_area_of_max_square(row: int, col: int) -> int:
-
         # BASE CASE
         if row >= rows or col >= cols:
             return 0
@@ -138,7 +137,6 @@ def largest_square_area_in_matrix_bottom_up(
     largest_square_area = 0
     for row in range(rows - 1, -1, -1):
         for col in range(cols - 1, -1, -1):
-
             right = dp_array[row][col + 1]
             diagonal = dp_array[row + 1][col + 1]
             bottom = dp_array[row + 1][col]
@@ -169,7 +167,6 @@ def largest_square_area_in_matrix_bottom_up_space_optimization(
     largest_square_area = 0
     for row in range(rows - 1, -1, -1):
         for col in range(cols - 1, -1, -1):
-
             right = current_row[col + 1]
             diagonal = next_row[col + 1]
             bottom = next_row[col]