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Every 5x5 Nonogram

pixelogic.app

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Re: Every 5x5 Nonogram

#2

Post by okayestjoel »

This is my game! I was recently curious about how many 5x5 nonograms can be solved purely with logic, no guessing. After running my nonogram solver on all 33,554,432 possible pixel combinations in a 5x5 grid, it turns out the answer is 24,976,511.

Inspired by One Million Checkboxes, I thought it would be cool to create a realtime, collaborative nonogram game where we can collectively try to complete all ~25 million of these puzzles. Just launched it this afternoon and its already at 65k solved!

Let me know if you have any feedback.

Re: Every 5x5 Nonogram

#3

Post by gus_massa »

okayestjoel wrote: post #2

This is my game! I was recently curious about how many 5x5 nonograms can be solved purely with logic, no guessing. After running my nonogram solver on all 33,554,432 possible pixel combinations in a 5x5 grid, it turns out the answer is 24,976,511. Inspired by One Million Checkboxes, I thought it would be cool to create a realtime, collaborative nonogram game where we can collectively try to complete all ~25 million o…

How many of the other 9 millions have a unique solution? I played minesweeper and sometime you can think a while and deduce a square that is not obvious.

Re: Every 5x5 Nonogram

#4

Post by okayestjoel »

gus_massa wrote: post #3
okayestjoel wrote: post #2

This is my game! I was recently curious about how many 5x5 nonograms can be solved purely with logic, no guessing. After running my nonogram solver on all 33,554,432 possible pixel combinations in a 5x5 grid, it turns out the answer is 24,976,511. Inspired by One Million Checkboxes, I thought it would be cool to create a realtime, collaborative nonogram game where we can collectively try to complete all ~25 million o…

How many of the other 9 millions have a unique solution? I played minesweeper and sometime you can think a while and deduce a square that is not obvious.

I believe none of the other 9 million have a unique solution. My nonogram solver goes over every possible configuration for each row and column based on the clues, and either fills in squares that must be filled (all possibilities overlap) or marks squares that must be empty. So if the solver reaches a point where there is ambiguity about what the next move is, then it is deemed not solvable (without guessing). A good example is a 5x5 puzzle where each row and column clue is "1": there are many possible 5x5 pixel grids that share those set of clues. Let me know if I'm misunderstanding your question.

Re: Every 5x5 Nonogram

#5

Post by gus_massa »

okayestjoel wrote: post #4
gus_massa wrote: post #3

Earlier quoted context omitted.

How many of the other 9 millions have a unique solution? I played minesweeper and sometime you can think a while and deduce a square that is not obvious.

I believe none of the other 9 million have a unique solution. My nonogram solver goes over every possible configuration for each row and column based on the clues, and either fills in squares that must be filled (all possibilities overlap) or marks squares that must be empty. So if the solver reaches a point where there is ambiguity about what the next move is, then it is deemed not solvable (without guessing). A goo…

You can try to codify for example https://pixelogic.app/every-5x5-nonogram#10725003 as "11-31-1-12-0+11-3-1-11-11" (is there an standard in the community?) and add the 9 million "unsolvable" codified strings to a vector and sort the vector, and then look for not repeated consecutive. For example, your case "1-1-1-1-1+1-1-1-1-1" should appear exactly 120 consecutive times in the sorted 9 million vector. Is there one that is not repeated?

Feature request: It would be nice to have a jump to unsolved puzzle. In section 1 it's difficult to find an empty one. Also, there is something weird with scrolling.

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