Logic Masters Deutschland e.V.

Binary Cages 3

(Published on 5. September 2024, 14:52 by drw)

Rules:

Place the digits 0 to 9 once each in every row, column, and 3x3 box. To fit 10 digits in 9 cells, one cell must be a Schrodinger cell (i.e. it contains two digits). There can only be one Schrodinger cell in each row, column, and 3x3 box. The value of a cell is the sum of the digits in that cell.

Blue rectangles are Binary Cages. Take the value of the first cell in the cage (read from left to right or top to bottom) and translate it into binary. The 0s and 1s of the binary set the parity for the values of the cells in the cage. A 0 in the binary means the value of the cell is even, a binary 1 means the cell's value is odd. For example, if the value of the first cell in a 3-cell cage is 5, then all three cells in the cage must be odd because 5 in binary is 111. A 4-cell cage with the first cell value of 11 would be odd-even-odd-odd because the binary of 11 is 1011. There are plenty of online resources that show you a list of numbers and their binary translation if you would like to use them.

Green arrows are summation arrows. The values of the cells along the arrow sum to the value in the circle.

Black dots indicate that the two connected cells have values that are in a 1:2 ratio.

Play on sudoku pad


Solution code: Type in the values of box 7 from left to right, staring in the top row. For the Schrodinger cell, type in the sum of the two digits in it. Put a comma between the values, but no spaces.

Last changed on on 10. September 2024, 12:42

Solved by Minodes
Full list

Comments

Last changed on 5. September 2024, 22:30

on 5. September 2024, 22:26 by drw
Sorry, this is my first time making a puzzle and uploading it anywhere. I think I’ve made it in sudoku pad now and put the link in the description.

on 5. September 2024, 17:25 by Briks
No link?

Last changed on 5. September 2024, 17:05

on 5. September 2024, 17:01 by drw
I added more explanation to the Binary Cage rule. Hopefully it makes more sense now! :)

Last changed on 5. September 2024, 16:07

on 5. September 2024, 16:07 by Gilliatt
Hi, for clarification, if there is a 3-cell cage, and the first digit is 4, which is 100, then the remaining two cells are odd-even(10), or even-even(00)? Or maybe first cell is simply not allowed to be >=4? Thanks!

Difficulty:3
Rating:N/A
Solved:1 times
Observed:0 times
ID:000JOS

Puzzle variant Variant combination Math knowledge Shading puzzle Even/Odd coded puzzle

Enter solution

Solution code:

Login