Logic Masters Deutschland e.V.

Two relaxing 3x3s for a relaxing day. Big thanks to Samish for attempting/testing the puzzles. Enjoy!




Advanced algebra I (left grid):

-(loops) Within each 3x3 box draw a loop that moves orthogonally and connects centres of (some) cells.
-(Latin square) There should be exactly three different such loops (up to rotations/reflections) within the grid and none of those shapes is allowed to repeat in any row or column.
-(clues) The clues outside the grid indicate the number of corners in the given directions combined.


Advanced algebra II (right grid):

-Divide the cells in the grid into two groups.
-(Yin-Yang) Within each outlined 3x3 box the groups must satisfy standard Yin-Yang requirements (either group is connected and no 2x2 is fully within one group).
-(Latin square) There must be exactly three different such 3x3 Yin-Yang solutions used and they cannot repeat in any row or column. Two solutions are considered the same if one can transform one into another by combining rotation, reflection and/or interchanging the groups.
-(clues) A number in the upper left corner of a cell indicates the size of the (maximal) orthogonally connected region within one group of cells the clued cell belongs to, "?" can mean any (single) digit.


solve online in penpa+:
Advanced algebra I
Advanced algebra II (the answer check works if the group containing r5c5 is shaded)