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0h n0 – A new game from the makers of 0h h1

0hn0.com

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Re: 0h n0 – A new game from the makers of 0h h1

#71

Post by wingerlang »

ZeroFries wrote: post #69
driverdan wrote: post #37

Staring at the circles had a very odd mental effect for me. After playing a few rounds other websites I look at seems very square, straight, and ridged.

I imagine it's along the same lines as when everything looks blue after you take off pink ski goggles. I read a study where people wearing glasses that flipped everything upside down would eventually start to see normally, and then after taking the goggles off had upside down vision for a while. This seems to suggest that your brain has an intrinsic expectation of what the world should look like, either built in by e…

I could be wrong, I can't remember fully. But if I recall correctly they don't start to see normally, i.e. the right rotation, they simply adjusted well to the upside down view.

Re: 0h n0 – A new game from the makers of 0h h1

#72

Post by HardyLeung »

T-hawk wrote: post #61
HardyLeung wrote: post #29

Earlier quoted context omitted.

Another feature request... if a tile is already illegal (too many committed blue in line of sight, or no way to commit more blue to satisfy requirement), flag it already. I think the biggest pain is the counting. Otherwise, a nice game!

That's what the hint button is for. If you start adding any automated processing like that, then you're only a couple more processes away from the game just solving itself without you. The elegance of this implementation is that you are doing all the solving. Unless you specifically ask for help from the hint button.

It is a balance between playability and automation. Even minesweeper does that (auto deduce that a large region can be opened up). What I described is only the first-order "convenience" checking to avoid the pain of going way back because of a miscounting.

Regarding the hint button. I don't want to use it precisely because I don't want to "win" by repeatedly getting hints.

Re: 0h n0 – A new game from the makers of 0h h1

#75

Post by sirclueless »

T-hawk wrote: post #63
ddlatham wrote: post #8

Is it fair to rely on the fact that there is only a single solution to make deductions?

Yes. Any deduction that you could reach from that fact could also be reached from other constraints on the board. Here's an example illustration, from the top-left corner of a board: y B R x R _ _ _ _ If x is red, then y is indeterminate, either red or blue is valid there, no other constraint can "see" y to determine it. But if we know the puzzle has a single solution, then we can correctly say x must be blue, so tha…

There's actually a constraint that no blue circle can be alone, which you can find by reaching an end board with a solitary blue that the game will prompt you about. So X red and Y blue would be well-determined.

However there does appear to be another constraint that is not mentioned explicitly, which is that there are no blue circles that are not in line-of-sight with a numbered circle.

Re: 0h n0 – A new game from the makers of 0h h1

#76

Post by T-hawk »

sirclueless wrote: post #75
T-hawk wrote: post #63

Earlier quoted context omitted.

Yes. Any deduction that you could reach from that fact could also be reached from other constraints on the board. Here's an example illustration, from the top-left corner of a board: y B R x R _ _ _ _ If x is red, then y is indeterminate, either red or blue is valid there, no other constraint can "see" y to determine it. But if we know the puzzle has a single solution, then we can correctly say x must be blue, so tha…

There's actually a constraint that no blue circle can be alone, which you can find by reaching an end board with a solitary blue that the game will prompt you about. So X red and Y blue would be well-determined. However there does appear to be another constraint that is not mentioned explicitly, which is that there are no blue circles that are not in line-of-sight with a numbered circle.

That last isn't defined explicitly. It's an emergent property from the constraint that the solution must be unique.

Any blue circle (or any linear group of them) that is not in line-of-sight with a numbered circle would have no constraint preventing it/them from being red instead. Therefore the solution wouldn't be unique, so such blue circles can't exist.

Re: 0h n0 – A new game from the makers of 0h h1

#77

Post by recursive »

I can't seem to figure out how to play. I'm trying to make each blue circle count the number of other blue circles it has vertical and horizontal line of sight to. However, when I do this, there's no indication that I won. And some levels are very clearly impossible to satisfy. The hints are rather opaque. ("Looking further in one direction would exceed this number." What?)

Re: 0h n0 – A new game from the makers of 0h h1

#78

Post by recursive »

recursive wrote: post #77

I can't seem to figure out how to play. I'm trying to make each blue circle count the number of other blue circles it has vertical and horizontal line of sight to. However, when I do this, there's no indication that I won. And some levels are very clearly impossible to satisfy. The hints are rather opaque. ("Looking further in one direction would exceed this number." What?)

I was able to figure out the rules by installing the android version, which explains that you need to fill all the dots to win. There can be no empty white dots. They must all be red or blue, in case anyone else is wondering.

Re: 0h n0 – A new game from the makers of 0h h1

#79

Post by bumbledraven »

Here's a solver for the puzzle (uses the clingo ASP solver): http://www.takingthefun.com/2015/02/0hn0com-solver.html

Using the solver, I calculated that an empty 2x2 puzzle can be solved in 10 different ways, an empty 3x3 puzzle can be solved in 250 different ways, and an empty 4x4 puzzle can be solved in in 22946 different ways.

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