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Strategies for Popular Number Puzzles

Daily Binairo

Rules

Click on cells and fill the board with white or black circles. To choose the correct color follow these rules:
  • No more than two of the same colour next to each other
  • Each row and column must have the same number of coloured circles
  • In the non-Plus version no two rows or columns must be the same
  • In 'Plus' a '=' symbol between two cells means these two cells are the same
  • In 'Plus' a 'X' symbol between two cells means these two cells must be different
Guaranteed a single solution! Now with Print option




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CommentsTalk

... by: Thinkist

Friday 1-Aug-2025
It's now been over 20 (well, 240) Binairo puzzles (such a strange name too, with no immediately intuitive way to say it...), and while I'm loving the flow state of solving these daily (reeeeeaaally taking me back to Islands of Insight...), I've noticed that the extra rules aren't typically needed, especially in the regular Binairo, even at Level 3.

And so, my request: some harder puzzles that use these (Weekly "Extreme", perhaps?). Also, no Hint button for these either.

Also, a fun combinatorics question for anyone reading this: how many possible Binairo solutions (i.e. solved grids) are there for a given 2n by 2n grid (NB this does not even begin to touch on the number of possible puzzles...).
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... by: nono

Wednesday 16-Jul-2025
We don't play online. We print the grids and fill them with zeros and 1s. How do I do this please ?
Andrew Stuart writes:
I will add a print option shortly.
Add to this Thread

... by: Thinkist

Wednesday 16-Jul-2025
First I guess. Also: woo! Cool to see this puzzle on here!

This reminds me of the many like puzzles in this game called Islands of Insight (https://store.steampowered.com/app/2071500/Islands_of_Insight/), where many different rules can be applied to make many different kinds of black-and-white puzzles in this game's Logic Grids.

For example, Binairo can generally be coded in using a couple of "Don't make this pattern" rules and some Darts.

Anyway, back to the webpages. For those using a mouse: left-click to add black, right-click to add white. Both options cycle between black, white, and empty upon subsequent clicks. I mention this because these precise details aren't exactly in the Rules. Also, in Islands of Insight, one could simply left-click to add black, and instantly right-click to change it to white without the need to erase a cell (or vice versa), and it would be nice to have that behavior here as well.
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Article created on 14-July-2025. Views: 3584
This page was last modified on 14-July-2025.
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