Rules:
Normal 5×5 latin square rules apply: Place the digits 1 to 5 once each in every row and column.
Draw a loop connecting centers of cells such that the two sheep are inside the loop and the wolf is outside the loop. The loop may move diagonal, but not cross itself.
The loop is a modular kropki loop: When walking clockwise around the loop, each digit must be double the previous digit, mod 7. E.g. if one digit is 5, the next digit must be 3, because 5*2 = 10 = 3 (mod 7)
The digit on the wolf must be the sum of the digits on the sheep, mod 7. E.g. if one sheep has value 3 and the other has value 5, the wolf must have value 1, because 5+3 = 8 = 1 (mod 7)
Kropki: Digits separated by the white dot are consecutive.
Lösungscode: Row 1 (left to right, no spaces)
am 5. Dezember 2024, 18:17 Uhr von askaksaksask
Every algebraist should use this puzzle as an introduction to teaching cycles and modular arithmetic. What a fun puzzle!