Logic Masters Deutschland e.V.

A Convolutional Layer

My first ever puzzle.

RULES:

Normal sudoku rules apply.

Cells on a green German whisper line must differ by at least 5.

Cells in killer cages must sum to the clue in the top left corner.

Digits along a thermometer must strictly increase from the bulb end.

A grey square is an even digit.

A 2x2 box with a white square in the center performs a max-pool operation (as in convolutional layers) into the cell in the south east corner of the 2x2 box (i.e. R4C4 is the max value of digits around the white square in box 1).

A 2x2 box with a white cirlce in the center performs a convolution with a kernel 0210 (also a 2x2 matrix) and maps the value to the south east corner cell. A convolution is a matgematical operation, where for this particular case of 0210 we calculate the value as: NW box corner × 0 + NE corner × 2 + SW corner × 1 + SE corner × 0. So it is just a weighted average of the positive diagonal elements of the 2×2 box, i.e. if R7C5 is 3 and R8C4 is 2, then R9C6= 2 × 3 + 1 x 2 = 8

F-Puzzles

Enjoy!