Quadrata

Here's a new puzzle for the year 2025 with clues based around the numbers 2, 5 and 25.  The direction of the triangle reveals whether the numbers in the two adjacent cells have a product greater than or less than 25.  In addition, if the difference of the two numbers is 2 or 5, then that difference is given.  If no number appears in the triangle then we can be certain the difference is neither 2 nor 5, and this information is necessary for finding the unique solution to this puzzle.   To help one better understand the ruleset, here is a sample three-by-three square, which can only be filled out in one way, using the numbers 1 through 9, together with the solution.  If you're having trouble with the main puzzle, try thinking about why the sample square solution is unique.  Further below are the actual puzzle, the solution, and a PDF version. Solution PDF Version