# Talk:2496: Mine Captcha

Mines at:

+----+ | | |** | | * *| | | +----+

Ezist (talk) 14:42, 30 July 2021 (UTC)

- +1234
- A2 1
- B??3
- C3? ?
- D 1 1
- concur.

AKA

. . . . * * . . . * . * . . . .

Should be mentioned that it's most probably easier to run a script that solves this puzzle that to explain minesweeper to the majority of people, so this captcha seems pretty useless 162.158.92.72 15:56, 30 July 2021 (UTC)

- Writing a script to solve Minesweeper is a great exercise and helps to build a guaranteed-solvable game (which, IMO, is a good thing), but it won't usually start with image recognition. I'm not sure how hard it would be to write an image solver, especially if - unlike in this example - you'd need to dig some cells to finish solving it. 108.162.250.59 16:20, 30 July 2021 (UTC)

I think that it would be better to explain why there is mine in B3 and D3 (due to the ones) because you then have the full solution. I think that the curent explanation isn't complete enough for someone who don't know minesweeper to understand the solution Maybe it is only me but I think that it would be less confusing to have column marked with letter and line with number. i don't know if there is any standard for that. I am used to excel way of doing it 162.158.50.27 16:10, 30 July 2021 (UTC)

I am soooo disappointed that the cursed minesweeper game is not playable. 108.162.221.79 16:13, 30 July 2021 (UTC)

Is something supposedto happen when I click on a box? I tried this in Chrome, IE, and Firefox, and nothing happens. --172.70.110.170 16:18, 30 July 2021 (UTC)

Hello. I have edited the image to include flags or bombs to mark the places. But as a new user I am not allowed to upload images. If somebody is willing to receive them I could email them. Rps (talk) 17:10, 30 July 2021 (UTC)

The title is eerily similar to Mein Kampf

The explanation repeats "this is hard because in Minesweeper you're supposed to press the buttons without mines" a lot.172.70.130.108 18:23, 30 July 2021 (UTC)

- As a native German speaker I do not think the title sounds similar. The German Mein is a bit more open than the English Mine which is spoken a bit longer. Kampf has one syllable and ends with a triple consonant, captcha has two syllables and ends with a vocal. In Mein Kampf the emphasis is on Kampf, in Mine Captcha it is on Mine. Sebastian --162.158.89.128 22:26, 30 July 2021 (UTC)

I think that explanation misses the fact that images in captcha are in randomized order and do not match with actual position on real board and are actually, which can be deducted from fact it's using different colors and font, from multiple separate games. Therefore 'solving' it gives no actual information.
Kalumniatoris (talk) 20:39, 30 July 2021 (UTC)

Using the Excel numbering, here’s one verbose way of solving it:
If someone is confused, it may be helpful to draw a diagram and follow along, step by step.

Fact 1: C1 indicates that 1 of its 4 open neighbors is a mine. Fact 2: A1 indicates that 2 of its 3 open neighbors are mines. Conclusion 1: Looking at B1 and B2, Fact 1 says at most 1 is a mine and Fact 2 says at least 1 is a mine. Therefore exactly 1 is a mine. Conclusion 2: Looking at the three open cells around A1, we now know from Conclusion 1 that B1 and B2 account for exactly one mine next to A1, so the other mine adjacent to A1 must be in A2. Conclusion 3: Looking at C1, from Conclusion 1 we know that B1 and B2 account for the 1 mine next to C1, so there can be no mine in D1 or D2.

Fact 3: A3 indicates that 3 of its 4 originally open neighbors are mines. Fact 4: B4 indicates that 1 of its 4 open neighbors is a mine. Conclusion 4: Looking at A4 and B3, Fact 3 indicates that at most 1 is empty (or equivalently, that at least one is a mine) and Fact 4 indicates that at most one is a mine. Since these two contain at least 1 mine and at most 1 mine, they must contain exactly 1 mine. Conclusion 5: Looking at Fact 4, we know that A4 and B3 account for the 1 mine adjacent to B4, so C3 and C4 must be empty.

Fact 5: D4 indicates that 1 of the 3 originally open neighbors must be a mine. Conclusion 6: Looking at fact 5, we see that Conclusion 5 ruled out 2 of the 3 neighbors, so D3 must be the mine.

(We’ve now determined the state of all cells in columns C and D, as well as A2. We’ve also identified two pairs (B1+B2 and A4+B3) that each contain exactly one mine.)

Fact 6: C2 indicates that exactly 3 of its 5 originally empty neighbors contain mines. Conclusion 7: From Conclusion 1 we know that exactly 1 of B1 and B2 is a mine, from Conclusion we know C3 is empty, and from Conclusion 6 D3 is a mine. Having accounted for 4 of the 5 neighbors, and 2 of 3 mines, we know that the remaining cell, B3, must be a mine. Conclusion 8: Based on Conclusion 5 and Fact 3, we can see that exactly one of A4+B3 is a mine and therefore the other two cells adjacent to A3 must account for its other two mines. Therefore B2 is a mine. Solid Kalium (talk) 00:30, 31 July 2021 (UTC)

I don't think it's that relevant that the captcha-solver shall click on the mines, opposite to the standard game. (The problem obviously is that if you were supposed to click on non-mines, you might simply click the number fields. Assuming that the number of the mines is given, 12 mines+B4:5,B2:8,D2:5 would be a uniquely solvable example, you'd have to infer D4 is free. But this sort of lacks elegance.) 162.158.111.218 07:42, 31 July 2021 (UTC)

I guess no one thought to mention that it is possible to have technically unsolvable (by logic) minesweeper puzzle boards, either when there is a very high, or very low, concentration, usually at an edge or a corner. I was kinda disappointed that he didn't do that and make it interactive so that the (usually) 50/50 choice always came out wrong, or you had to trick it by clicking down on one (internally making it the mine) and releasing on the other (revealing the now safe square)... or maybe I'm just a sadist >.> 172.69.63.143 09:12, 31 July 2021 (UTC)

I do not work for this game, I just play it: If you really dig the difficult logic required to solve this minesweeper puzzle, check out Fill-a-Pix. It's essentially huge puzzles exactly like this. There are many avenues of solving this puzzle. [email protected] & [email protected] for example, require that A2&B2 both be mines. [email protected],[email protected],[email protected],and [email protected] all collectively require that B3 and D3 are mines. C1 & C2 require that there are 2 mines within the 3 cells: B3,C3,D3. The 1's at B4 and D4 force C3 to be empty, and thus B3 and D3 are the only places those 2 mines could be.