Logic Masters Deutschland e.V.

This puzzle introduces Cypher Lines where each line must also be a valid equation.

Click on the puzzle to play

RULES

Normal Sudoku rules apply.

All lines in the puzzle are Cypher lines (explained below).

In addition to being Cypher lines, each line is also another type of line:

- Blonde = Thermo lines: digits strictly increase from the bulb

- Brunette = German Whisper lines: adjacent digits along the line differ by at least 5

- Red = Renban lines: the digits on the line form a set of consecutive digits in any order

Killer Cages: digits in a cage do not repeat and sum to the small number.

Cypher lines represent valid equations such as 1+5=6. Each of the four mathematical operators (addition, subtraction, multiplication, and division) are represented in the entire puzzle by a different digit from 1-9. The solver must deduce which digit represents which operator (for example, if 9 represents addition on one line then only 9 will represent addition for this puzzle, but 9 can still be used as a regular digit). The equals sign is not represented and lines with multiple operators are evaluated in order (do not use order of operations). Intermediate values can be greater than a single digit but must be a positive integer. The solver must deduce the direction of a Cypher line (it need not follow the thermo direction). A shared cell may be an operator for one line and a digit for the other.

Example: Equation is 7+5 / 6 = 2. Addition is represented by 8 and division by 9. The line would be 785962.