Logic Masters Deutschland e.V.

Fill the grid with nine non-overlapping 3x3 square regions, so that each region contains the digits 0-9 once each and no digit repeats in a row or column. Cells outside regions do not contain digits and have no value.

Some cells are modifier cells, which may be one or more of the following types: schrodinger's cells, doublers, or negators. These cells modify the value of their digit(s) in the following ways:

• schrodinger's cells contain two digits at once, which are summed together
• doublers multiply the value of their digit(s) by two
• negators subtract the value of their digit(s) from zero

Modifier cells cannot be orthogonally adjacent. Each row and column contains exactly two modifier cells. Each type of modifier appears exactly once in each box, and no more than once in each row and column. Each digit can appear only once in a doubler or negator. A digit may appear in more than one schrodinger's cell, but the same *pair* of digits may not.

Cages: the sum of the values inside each cage is equal to the small number in the top left corner (if given). Digits cannot repeat within a cage, but values may repeat. [note: the cage sum in r8c6 is negative-14]

Arrows: the sum of the values along an arrow is equal to the value in the connected circle. Some arrows and circles may not contain digits, but if a cell along an arrow contains a digit (or digits), that arrow's circle must also contain a digit (or digits), and vice versa (even if the arrow's sum is zero).

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This puzzle was originally made for Samish for Secret Satan 2024, and is being published here with permission (thanks!)

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