Logic Masters Deutschland e.V.

Normal 9x9 Sudoku: Place the digits 1-9 exactly once in every row, column, and 3x3 box.

Fog: Some cells are hidden by "fog" meaning you cannot see their contents. Some fog may be removed when a digit is correctly filled. Digits can be logically deduced, no guessing is needed.

German Whispers Lines: Green lines in the grid are German Whispers lines. Adjacent digits along the line must have a difference of at least 5.

Arrows: There are circles in the grid with attached arrows. The digit in the circle is equal to the sum of the digits on the attached arrow. Digits are allowed to repeat along the arrows as normally allowed by other rules.

Renban Lines: Purple lines in the grid are Renban lines. Digits on a line form a set of non-repeating, consecutive digits in any order.

Thermometers: There are filled circles in the grid with connected thick lines called thermometers. The circle represents the bulb of the thermometer. Digits must strictly increase along the thermometer starting from the bulb end.

Entropic Lines: Peach lines in the grid are entropic lines. Any three adjacent digits along an entropic line are from one each of low(1,2,3), medium(4,5,6), and high(7,8,9) digits. Digits may repeat on these lines if allowed by other rules.

Region Sum Lines: Blue lines in the grid are Region Sum Lines. Lines are split into segments by [box | region] borders. Within each individual line, the sum of the digits on each segment is the same. The sum of segments on different lines may or may not be equal.

XV Sums: Digits separated by a V must sum to 5, and digits separated by an X must sum to 10. V and X are the Roman numerals for 5 and 10, respectively.

Kropki Dots: Digits separated by a white dot are consecutive. Digits separated by a black dot have a 1:2 ratio, meaning one is exactly double the other.

Killer Cages: Some cells are surrounded by dotted lines, called "cages." Digits cannot repeat in a cage. The digits in a cage sum to the value in the top left.

Minimum: Gray cells with arrows pointing inward must be smaller than all other cells that share an edge. You can think of the arrows like less-than signs, where the cell is less than the neighbors where a less-than sign appears.

Every rule or constraint mentioned above appears in the puzzle one time and one time only.