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I've gotten myself stuck in this Nonogram level using the logic I'm familiar with (filling in our crossing out boxes that will always be filled in or empty no matter how you fill in the grid). And until now, I've been able to finish every other level using only that basic rule.

Half-finished Nonogram Level 50 from the mobile game Meow Tower

Can I proceed from here without guessing, hints, or bruteforce?

The game it's from is Meow Tower (hard level #50), and in the 456 nonograms I've completed so far (407 easy, 49 hard), every puzzle has been solvable using basic logic, and only have one solution. And if you make a mistake, you instantly get corrected, so I don't think it's a problem with the generation or a bug in the game.

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    $\begingroup$ It looks to me as if the game is giving you more information than you would have solving on paper, by telling you which things in a given row/column you have successfully marked. If I'm understanding that correctly, then e.g. the two "1 2" columns near the middle -- where it's told you that the squares you've shaded are "1" rather than "2" -- let you fill in a number of squares you haven't yet. $\endgroup$
    – Gareth McCaughan ♦
    Commented Feb 10, 2023 at 21:13
  • $\begingroup$ Has a useful answer been given? If so, please don't forget to $\color{green}{\checkmark \small\text{Accept}}$ it :) $\endgroup$
    – Rubio ♦
    Commented Feb 14, 2023 at 23:08

2 Answers 2

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Start by looking at the two filled cells you have in column 13 (labelled A in the picture below).
It doesn't matter whether those are part of the 2 or the 4 in that column, the cell below (R12C13, labelled B) must be filled.
Now row 12 only has two single filled cells, so the adjacent cells must be empty (labelled C).
And that forces most of the 9-cell block in column 14 (labelled D).
enter image description here

And from there filling in the obvious forced moves gets you to the following position.
enter image description here

From there, the 3 in the bottom row only has one place to go.
And that forces the 8 in column 8.
And I'll stop there as the question only asked for a next step, not a complete solution.

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note that black mean filled, blue means empty.

if you think as below;

enter image description here

the rest will fail as below;

enter image description here

so we know that, it should be like that below;

enter image description here

the rest becomes easier I think;

enter image description here

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    $\begingroup$ I think this ties in nicely with Gareth's comment under the question. The app is also giving a clue that the first option is not correct because the "2" in the "2 4" column is not highlighted in blue. $\endgroup$
    – hexomino
    Commented Feb 13, 2023 at 10:08

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