Logic Masters Deutschland e.V.

Credit to SamuPiano for the original split peas rule - also blackjackfitz for the somedoku rule - and to ThePedallingPianist's variation on split peas - see this sudoku.



Somedoku: Fill each cell with a digit from 1-9. For each N from 1-9, row N (counting from the top) has exactly N distinct digits; and column N (counting from the left) has exactly N distinct digits. These digits repeat as necessary to fill each row/column.

A line segment is a section of line between two matching dots with no other matching dots in between. Any non-matching dots on a segment can be ignored. Shapes and colours are used to match dots and have no other significance. A line segment can also be the entirety of a loop if there is only one dot of a given shape/colour on the loop - that segment is regarded as having that dot at both ends.

Split Krokpea: The value of a dot is the positive difference between the two digits it connects. The sum of digits along a line segment is given by the two-digit number given by the values of the dots at its ends, taken in one order or another.

Example: 2·7 8·7 works as a valid line segment as the dots have values 5 & 1 (being the differences between 2 & 7 and 8 & 7), and the cells between the dots sum to 15, which has those values as its two digits.