Two Lanes / Zwei Spuren (Kropki Pairs)
(Published on 14. August 2022, 19:52 by tsc)
I recently played the CtC Domino Sukoku package in their new app which motivated me to set a Kropki Pairs puzzle after pausing with setting for a while. I am pretty happy with the result, hope you like it too.
❶ Standard Sudoku rules apply
❷ Kropki Pairs: white dots contain consecutive digits, black dots contain digits with a 1:2 ratio. No negative constraints, so not all dots are given
Play online: f-puzzles | CtC app
Intended solution path:
- Cells in R2,3 are connected with 8 white dots taking all 8 even numbers of the two rows, therefore the remaining two cells must be odd (r2c3 and r3c9)
- Of the two cells R2c12, one must be even and one must be odd. Hence r3c3 must be odd too.
- Now, where can 2 go in row 3? A 2 in c12r3 needs a 3 in c12r2, leading to a 1 in r3c3 and a two in r3c4. The only place for a 2 in the row is r3c4.
- R4c49 are a 2-6 pair. Two more even numbers are needed for the white dots in row 4. R4c456 contains only odd numbers and the black dot in box 5 can be resolved.
- The dots in row 4 contain either a 4/5 or a 7/8/9. So r4c6 is a naked single 7.
- Some numbers can be resolved, leading to r2c45 can only be a 7/8/9 pair that must contain an 8.
- This 8 on row 2 affects where 9 can go in box 1 (only in r3c3)
- Two must now go into r1c12 which resolves the black dots between row 3 and 4. Also, 8/9 in r3 must go into r3c78.
- As the black dots in box 8 are 1/2 and 4/8, the black dot in box 9 can only be 2/4.
- This due to this 2/4 pair in c9 and the 2/5 pair in box 1 r1c9 can only be 1/7. If it is one r1c7 would be 1 too. So it can only be 7, creating an 8/9 pair in r67c9.
- Because r6c9 can only be 8/9, r4c78 must be 4/5. Now boxes 2, 3, 5, and 6 can be resolved.
- Now, two must be in r7c12. If either of r7c12 is a 3, a 2 is placed in box 1 in the other column leaving no place for a 2 on row 7. Therefore r7c12 is 1/2.
Solution code: Column 1 followed by row 9
Last changed on on 15. August 2022, 18:39
Solved by jalebc, Julianl, zorant, dskaff, OutOfMyMindBRB, SKORP17, SimiC, drbs, Dina, apendleton, AvonD, Jagga, jimblek, djorr, mZbZ, ficko, KlausRG, Sinuit, karen_birgitta, ManuH, achim-t, SibCDC, PippoForte, lovely, flaemmchen, Crul, bolado, juventino188
Comments
on 15. August 2022, 18:39 by tsc
added german translation
Last changed on 15. August 2022, 12:36on 15. August 2022, 11:07 by jimblek
Excellent. Thanks! And intended solution path was a great help.
> tsc: Happy to hear! I used the CtC Domino Sukoku app and liked them a lot. Sometimes to check if I am on the right track. And sometimes I just did not find a particular step in a wonderful puzzle. So I thought why not adding it to my puzzle too.
Last changed on 15. August 2022, 12:21on 15. August 2022, 00:10 by Dina
Nice!
> tsc: I am glad that you liked it