One example of a problem that can be solved using the backtracking algorithmic approach is the Sudoku puzzle.

  The Sudoku puzzle is a logic-based puzzle where a 9x9 grid is divided into nine 3x3 sub-grids, and the goal is to fill in the grid with digits from 1 to 9 such that each column, each row, and each 3x3 sub-grid contains all of the digits from 1 to 9 without repetition.

  To solve this puzzle using the backtracking approach, we can start by selecting an empty cell in the grid and assigning it a value from 1 to 9. Then, we check if the assigned value is valid by ensuring that it does not violate any of the Sudoku constraints. If the assigned value is valid, we move on to the next empty cell and repeat the process.

  If we reach a point where it is not possible to find a valid value for a cell, we backtrack and try a different value in the previous cell. This process continues until a solution is found or all possibilities have been exhausted.

  By using backtracking, we explore all possible combinations of digits in the grid and efficiently eliminate invalid ones, leading us to the correct solution.

  Overall, the backtracking algorithmic approach is well-suited for solving problems like Sudoku that involve searching for a solution by systematically trying different options and backtracking when necessary.