Logic Masters Deutschland e.V.

Can you find all 4 mystery products that are hidden in this puzzle?

Rules:

• Normal sudoku rules apply, i.e. each of the digits from 1 to 9 needs to appear exactly once in each row, column, and 3-by-3 box.
• There are cages of four different colors. The product of the digits within two cages of the same color must be equal. Part of the solve is to find out which color represents which mystery product. Products of digits in two cages with different colors do not necessarily have to be different.
• Digits cannot repeat within a cage.

Note that the 6 cell pink/purple region in the bottom right is 2 cages rather than 1.

Example: suppose that the digits in the gray cage in box 1 are 2, 3 and 4. Then their product is 2 * 3 * 4 = 24, which is the mystery product of the gray cages. This means that the digits in all other gray cages must multiply to 24 as well. For e.g. the gray cage in box 5 this means there are only three valid combinations: 1 * 3 * 8, 1 * 4 * 6 and 2 * 3 * 4.

You can play this puzzle online using f-puzzles: https://f-puzzles.com/?id=yyvwldom.
Or, if you prefer cages that are labeled with '1' to '4' rather than colors: https://f-puzzles.com/?id=y68e5x2d. (Works best when the 'highlight conflicts' option is turned off.)

Good luck!