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Somewhat in the spirit of Stiv's This new puzzle type needs a name, can you solve this odd looking Sudoku and give it a name?

enter image description here

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  • $\begingroup$ looks kinda like a Sudoku + Nonogram... is it a Sudonogram? :) $\endgroup$ – merrybot Oct 4 '20 at 14:51
  • $\begingroup$ Solve it and you get to name it! $\endgroup$ – Jens Oct 4 '20 at 15:00
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Here is my attempt at solving this:

I'm presuming that the numbers appearing at the side of the red square signify a Japanese Sum puzzle. A Japanese Sum puzzle is like a nonogram, with clues being equivalent to sums of consecutive digits appearing in a row separated by spaces. Digits in the same row cannot be repeated. Since this is a Sudoku puzzle as well, the digits must go from 1 - 9.

For the (20, 1) in row 4, at least 3 digits must be needed for the 20, so the 1 must appear in either column 5 or 6. If the 1 was in column 5, then there would be a space in row 4, column 4. This will leave only 2 spaces for the 20 in (2, 20) in column 4, which is impossible. So, we get the following

JS_Sudoku_1

Row 3 (2, 9, 3) only has one solution, so we can fill that in as seen in the image below. This helps us solve some digits in the other squares.

JS_Sudoku_2

The 27 in row 5 must be at least 4 digits long, so 13 in column 3 cannot be (9, 4). Instead, it must be (9, 3, 1). This leaves a 17 for the 20 in (20 1) in row 4, so there must also be an 8 and a 9 in row 4. Since row 5 and column 1 already has a 9 and this is a Sudoku puzzle, then there is only one solution. The rest of the digits can also be uncovered.

JS_Sudoku_3

Once we have done that, then it is just a matter of solving the Sudoku by removing the blank spaces. Several of the digits can be trivially uncovered as shown below.

JS_Sudoku_4

I got stuck here, so I filled the Sudoku with the available possible values.

JS_Sudoku_5

At this point, I noticed that in the 2nd Sudoku square of the bottom row, only the middle column has 6s in it. Therefore, there couldn't be a 6 in row 4, column 5 of the sudoku and the 6 had to be in row 4 column 1. This had a domino effect that allowed me to solve the rest of the Sudoku. The solved Sudoku looks like

enter image description here

Since this included both Japanese Sums and Sudoku, we could call a puzzle like this "Sumdoku".

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  • $\begingroup$ Excellent solution, with a great presentation! Great solve! $\endgroup$ – Jeremy Dover Oct 4 '20 at 16:02
  • $\begingroup$ Nicely done! Would you like to include a name for the puzzle-type? :) $\endgroup$ – Jens Oct 4 '20 at 19:06
  • $\begingroup$ @Jens I have added a name :) $\endgroup$ – Alaiko Oct 5 '20 at 0:07
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    $\begingroup$ I think you had a typo in the sudoku candidates at R7C4 (should be 16 instead of 17, then the 6 could be eliminated by naked pair on R7). Lucky that the typo didn't screw up the solution :) $\endgroup$ – Bubbler Oct 5 '20 at 2:41
  • $\begingroup$ @Bubbler Oh yes, you are right! I was actually supposed to remove the 7 and immediately put 1 in that cell. Thanks! $\endgroup$ – Alaiko Oct 5 '20 at 2:45

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