Walk me through how you would approach solving algorithmic challenges like Valid Sudoku to test logical reasoning.
Implement is_valid_sudoku(board) to determine whether a partially filled 9x9 board is valid. A board is valid when each row, column, and 3x3 subgrid contains no repeated digits from 1 through 9, ignoring . cells. Return True for valid boards and False otherwise. The input is a list of nine lists, each containing nine single-character strings.
board contains exactly 9 rows.. or a digit from 1 through 9.def is_valid_sudoku(board):