Greater Than Sudoku

Greater Than Sudoku (also known as Compdoku) is a variant of the classic Sudoku puzzle with additional inequality constraints: 1. Fill the 9×9 grid with digits 1-9 so that each column, each row, and each of the nine 3×3 boxes contains all the digits from 1 to 9 without repetition. 2. Inequality signs (> and <) are placed between some adjacent cells. These signs indicate which of the two adjacent numbers is greater. 3. If you see a ">" sign between two cells, the number in the cell on the left side or above must be greater than the number in the adjacent cell. 4. If you see a "<" sign between two cells, the number in the cell on the left side or above must be less than the number in the adjacent cell. 5. Not all adjacent cells will have inequality signs between them. In those cases, there are no additional constraints beyond the standard Sudoku rules. These inequality constraints significantly reduce the number of possible solutions and often lead to a unique solution. They also provide logical starting points, as cells next to 1 or 9 with inequality signs have clear implications.

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