In 2000, Sadie Kaye[16] published a proof that it is NP-complete to determine whether a given grid of uncovered, correctly flagged, and unknown squares, the labels of the foremost also given, has an arrangement of mines for which it is possible within the rules of the game. The argument is constructive, a method to quickly convert any Boolean circuit into such a grid that is possible if and only if the circuit is satisfiable; membership in NP is established by using the arrangement of mines as a certificate.[17] If, however, a minesweeper board is already guaranteed to be consistent, solving it is not known to be NP-complete, but it has been proven to be co-NP-complete.[18] In the latter case, however, minesweeper exhibits a phase transition analogous to k-SAT: when more than 25% squares are mined, solving a board requires guessing an exponentially-unlikely set of mines.[19] Kaye also proved that infinite Minesweeper is Turing-complete.[20]
Aryeh: This site pretty much holds the entire community together. But If this site were to die, I think that the community would be able to reassemble itself elsewhere. One example of this was back around the time when I was most active, around 2005-2006, there was a site called Planet-Minesweeper.com, and that was actually where the world ranking was held for a time, and there was a really active forum there. But then it was hacked by people from Algeria, or Albania, or something, and it died. And then the official world rankings were moved back to minesweeper.info.
Aryeh: So this website is pretty much where everyone interacts. There have been other sites that existed in the past, but this is the website that has been maintained. The site minesweeper.info was originally at metanoodle.com/minesweeper, and it was created by a Canadian guy named Damien Moore.
I stumbled upon this blog while looking to see if there was a competitive scene for minesweeper and was pleasantly surprised to see a post from 2011 still at the top of bing. All in all great interview and love seeing how in depth it goes
The bottom right square is guaranteed to be safe. In examples 2 and 3, the puzzle is solved. The uncertainty is between 1 and 4. If you click the bottom right square in example 1, what do you see? If you click the bottom right square in example 4, what do you see? Do both appear identical? If so, minesweeper has multiple solutions, and puzzles can be unsolvable.
This scenario won't happen in a real minesweeper game. You will always have more info than this in a bigger board. For your 2nd image you can start with the 4 at the bottom. The mine has to be next to it as the 2 can only have 2 land mines next to it and the 3 will have the landmine at the bottom to satisfy the 1. Always start around the biggest numbers and leave the 1s for last.
BTW you guys should check out the other puzzles on that page, there are a ton of them and some are pretty clever. I'm a fan of Galaxies and Pearl. I guess there's nothing quite like minesweeper though.
For minesweeper addicts, thisis either very good news, or very bad news (it depends on yourpoint of view). My paper with the above title, which incidentlygoes to some lengths to explain what NP-completeness means and whyit is important, has appeared in the MathematicalIntelligencer.
A companion paper, with some interesting Minesweeperconfigurations and puzzles is available here in PDF format. I have just set up a FAQ listconcerning minesweeper and NP-completeness which is availablehere.
A PDF presentation on minesweeper that I have used on several occasions, including Open Daysat Birmingham University and firstgiven at the ASE meeting in Birmingham, Jan 3-5 2003, is alsoavailable here (PDF file, 300k). This talk contains some nice graphics, and interesting minesweeper configurations.
"Infinite minesweeper" refers to a family of variations of thegame with possibly different kinds of "mines", and different rulesconcerning them. It is "played" on an infinite grid rather than afinite one, but it nevertheless has something of the flavour ofordinary minesweeper. You can read about it and in particular howinfinite minesweeper configurations can mimic arbitary computerprograms in mt (slightly more technical) paper which is recentlyavailable in pdf format here.
What I managed to prove is that the minesweeper game isessentially equivalent in complexity to any of a wide range of known natural and important problems in the literaturecalled NP-complete problems.
My result in the Mathematical Intelligencer states thata decision problem which I like to call "the MinesweeperConsistency Problem" and which is exactly equivalent to the problem of playing the minesweeper game, is yet another oneof these NP-complete problems.
I have written and maintain a companion world-wide-web paper, `Minesweeper configurations',which aims to contain some minesweeper configurations puzzles and problemsthat have come to light since the original paper. This is available here in PDF format.
On Nov. 23, 1918, two 143-foot French minesweepers went down in a Lake Superior storm. Michigan Technological University's Great Lakes Research Center Director Guy Meadows is at the helm of a crowd-funded project to find the Cerisoles and Inkerman. Meadows shares the historical research and advanced technologies that will guide the mission at a talk from 5:30 to 7 p.m. Tuesday, Nov. 13, at the Great Lakes Research Center, in Room 202.
The final of 12 World War I minesweepers commissioned by the French government, the Cerisoles and Inkerman, named for French military victories, were traveling in company on their maiden voyage with a third ship, the Sebastapol. The flotilla, bound for Europe via the Soo Locks and St. Lawrence Seaway, was hit with a fierce storm about midway between Thunder Bay and Isle Royale. The Sebastapol and her crew, though badly shaken, survived the maelstrom. Assuming the other two vessels had sheltered in the lee of the Keweenaw Peninsula, in Bete Grise, the captain of the expedition was reportedly surprised to see the bay empty but continued on after the storm abated, assuming the Cerisoles and Inkerman were ahead, or would catch up. No distress calls were received; wireless communication was a relatively new invention in 1918.
Hi, I am wondering if anybody has any suggestions in to how to create a numerical matrix of a given length and height and with the values within containing only certain numbers and can be adjusted for gradients and attractors. I have attached an image of the classic game minesweeper in here as it looks a lot like I want my end goal to be. The other picture that I have included shows two manually created and very rudimentary matrix within a multi-line panel, which is a basic version of my end goal. This image also shows my attempt at a starting point in Grasshopper, which I am not even sure if I am on the right path or not with.
There are many ways to get involved in the Minesweeper community. The most popular place to meet is at Authoritative Minesweeper, which hosts the world rankings. You can post scores in the Guestbook, chat in the Forum or compete in the Active Ranking. Another popular hangout is the IRC minesweeper chat group, or you can join the Minesweeper Facebook Page. The center of the Chinese sweeping community is www.saolei.net, with extensive rankings and forums. A similar site exists at www.minesweeper.ru for Russian players. Each year there are one or two international tournaments, where the best players meet and compete.
All beta versions of minesweeper were lost until Damien Moore (webmaster of this site) discovered Mine 2.9 in a collection of games uploaded to extinct Bulletin Board Systems. This version was made in July 1990 and passed between friends at work. Although the game was called Mines it used bomb graphics. It introduced all the standard rules and mouse functions such as flags and chording. Its three difficulty levels were Beginner (8x8, 10 mines), Intermediate (16x16, 40 mines) and Expert (24x24, 99 mines). The Game menu featured 'New F2', 'Beginner', 'Intermediate', 'Expert', 'Sound', 'Marks (?)', 'Preferences... F3' and 'Exit'. The Help menu offered 'Index F1', 'Keyboard', 'Using Help' and 'About WinMine'. Options unique to the Preference box included creating custom levels, enabling a 'Ticker' or removing the Menu bar. The Ticker simply ticked each second in imitation of a time bomb. Sound included a siren for hitting a mine or a rising one octave scale for winning a game.
Windows 95 was released on 24 Aug 1995 and once again included minesweeper. The graphics of the game were cleaned up, resulting in smaller but sharper number and mine graphics. The game icon changed to use the new graphics and the Help file was condensed into a smaller version. The only other change was the Help menu, which reduced options to just 'Help Topics' and 'About Minesweeper'.
In Italy minesweeper was renamed "Field of Flowers" (Prato Fiorito) and mines were replaced with green flowers and a new soundtrack for losing. This resulted from pressure by groups such as the International Campaign to Ban Winmine.
We are always racking our brains for ideas to get our followers to smile. We like to include interactive gems that no one in their right mind would spend time creating. So when the idea for minesweeper hit, development started immediately.
Description: Based on the well known game that comes with Microsoft Windows operating system. I have attempted to recreate the original as much as possible, while adding in extra features that some players may find useful, especially minesweeper experts.
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