Logic Masters Deutschland e.V.

Two-Digit Combination Sudoku

(Published on 1. June 2020, 06:59 by donut and chicken)

Rules:
Normal sudoku rules apply. (Place every number from 1 to 9 in all rows, columns and main 3x3 boxes.)
In addition, there are two sets of clues outside the grid.
The clues closer to the grid tell the sum of the first two numbers in that row/column from the direction the clue is facing [left clues go left to right, top clues go top to bottom].
The clues highlighted red tell the sum of the two numbers the first two are pointing to. [For example; if the first two numbers are 3 and 5, the closer clue says 8, and the red clue gives the sum of the 3rd number and the 5th number [still in the direction it faces].
Here is an example of an entire row and its two clues:
Finally, there are two cells in the grid marked with A and B.
There are also some clues outside the grid with A and B.
The numbers that go in the A and B cells correspond to A and B in the clues.
[For Example: If B is equal to 4, a "<2B" clue becomes "<8" (<2*4).]
[A and B are distinct.]

Enjoy!
The puzzle:
Alternative Name: Double Digit Positioning

Solution code: Row 8 (left to right), then Row 9 (left to right), no characters in between; Example: 123456789123456789

Last changed on on 4. June 2020, 15:25
Solved by Richard, saskia-daniela, geronimo92, zorant, Yohann, moss, Kichelle, rcg, jessica6, Madmahogany, marcmees, WAW, Nothere, skywalker, Julianl, tompko, sf2l, NikolaZ, bob, rimodech, mango, Rollo, Nylimb, dm_litv, ch1983, sandmoppe, ManuH, japoorva, marsigel, Uhu, cdwg2000, bigger, zuzanina, glum_hippo, Krokant, Saskia, HolyFracker, ParaNox, misko, zrbakhtiar, dodomos, Marl
Full list

Comments

on 6. November 2023, 15:29 by zrbakhtiar
https://tinypuz.com/yrkflbap

on 30. April 2021, 15:21 by Saskia
Wonderful - like this type :-)

on 11. February 2021, 17:58 by glum_hippo
penpa with answer checking: https://git.io/JtKrE

on 4. June 2020, 15:25 by donut and chicken
Changed Tag!

on 4. June 2020, 14:29 by donut and chicken
Added tag because I made a second puzzle! I will probably change the tag if someone can come up with a better name for it. :)

on 3. June 2020, 13:06 by donut and chicken
Thanks for the nice comments! :)

on 1. June 2020, 21:00 by Madmahogany
Very nice concept! Didn't use all the clues at hand, but really had to use a few clues more than once.

on 1. June 2020, 11:53 by donut and chicken
I apologize if the rules weren't so clear. The clues in red don't have the same rules as the clues in black do. The clues colored black give the sum of the first two digits, but the clues in red take those digits and get the numbers in the positions they give.

I'll try and give another example.

Example: A given row has the digits
635782419
By the 6 and 3, the clue in black must be 9.
Now, the red clue looks for the numbers placed in the 6th and 3rd positions.
The number in the 6th position of the row is 2, and the number in the 3rd position is 5. The sum of 2 and 5 is 7, therefore the red clue is 7.
I hope this clears up the rules, and anyone please feel free to ask me if the rules are still not clear. :)

Difficulty:3
Rating:89 %
Solved:42 times
Observed:10 times
ID:0003KD
Puzzle variant Arithmetic puzzle
Sudoku, Position Sums (Variant)

Enter solution

Solution code:

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