It seems that part of the point of the video is how impractical it would be to do the actual arithmetic "by hand"... But as someone that loves math, the formulas really do give me a better grasp of what exactly makes certain tiles more or less dangerous, and how much each potential factor influences things. Before this channel, I never would have guessed that configurations with just one or two fewer mines would get so much more weight, more than making up for the (presumed) tendency for them to have fewer combinatorial possibilities.
Well, each extra mine that isn't in the tiles bordering numbers is one more mine that can be in the "floating" tiles. Any there's just _so many_ more spots in the floating tiles that it then can be in. I guess that's where the "M" value comes from: Number of places that the one extra mine can be in, divided by the number of extra ways that you can order the mines in the floating tiles? Where the second part is necessary because mines are indistinguishable. (Reminds me a lot of statistical mechanics. And in that language M would be the chemical potential, and the floating tiles would be considered the "bath".) For example for 21% and 400 floating tiles, there's 300-ish extra floating tiles that the next bomb can be in and 400*21%=84 bombs, so 84 extra sequences in which the bombs can have been put onto the floating tiles; or overall the number of floating tiles cancels out and you have M=1/0.21=4.76 ...or so I would have thought. Is there not 84 times as many ways to order the "floating" mines when you add an 84th one? Or is there also a factor taking into account that there's 7 times as many ways to order 7 mines in the "distinguishable" tiles (non-floating tiles) than 6 mines in the distinguishable tiles? Or would there be a factor for how many ways there are to divvy up 7+84 mines into distinguishable and floating tiles, or rather, how that number changes with each extra floating tile?
hey there, ive always played minesweeper ever since i was a kid but ive always quit every few months because the guessing and 50/50s was getting on my nerves. but then one of your videos, that classic opening one, had opened my eyes that there was always an optimal guessing spot. i was awe struck at how there was still optimal tiles to click even if there was no logic on the board. ever since then ive placed a bunch of hours into minesweeper every day since a few months ago maybe a bit too much haha. props for still making videos even though they dont hit the algorithm as much as some other videos because they help some people like me. thanks for even creating this channel in the first place and i hope to see more videos from you
@@MineBuoy Don't be afraid of reteaching or revisiting concepts! (If you actually want to, of course.) You can always update knowledge, technique, explanation/angle, or even just video-making style.
However, the amount of useful information you probably get from clicking certain tiles is going to be much more than for other tiles. One might give you guaranteed deductions while others not achieving anything
Thank you for making all these guessing videos! You definitely brought interest over minesweeper theory for a lot of people, I even know some players that started playing because of your videos! As to this explanation, I think you synthesized it well!
Since you're a mastery player (or at least that's what you show off the most) I'm curious if you have any mastery-specific advice. For example, playing quickly when your win count is low and not being afraid to lose, but slowing down and playing more accurately when you have a good streak going. (Or tell me why that's a bad idea). Also, please keep doing RTMWR!
Yes! That's the reason I made the calculator you see at the right of the Road to mastery world record videos :) I mention this advice in the "secret minesweeper weapon" video
I actually gave a talk about guessing in minesweeper last Monday, and this was definitely the part I felt I explained worst. I wish I had this video to reference then!
It seems that part of the point of the video is how impractical it would be to do the actual arithmetic "by hand"... But as someone that loves math, the formulas really do give me a better grasp of what exactly makes certain tiles more or less dangerous, and how much each potential factor influences things. Before this channel, I never would have guessed that configurations with just one or two fewer mines would get so much more weight, more than making up for the (presumed) tendency for them to have fewer combinatorial possibilities.
Well, each extra mine that isn't in the tiles bordering numbers is one more mine that can be in the "floating" tiles. Any there's just _so many_ more spots in the floating tiles that it then can be in.
I guess that's where the "M" value comes from: Number of places that the one extra mine can be in, divided by the number of extra ways that you can order the mines in the floating tiles? Where the second part is necessary because mines are indistinguishable. (Reminds me a lot of statistical mechanics. And in that language M would be the chemical potential, and the floating tiles would be considered the "bath".)
For example for 21% and 400 floating tiles, there's 300-ish extra floating tiles that the next bomb can be in and 400*21%=84 bombs, so 84 extra sequences in which the bombs can have been put onto the floating tiles; or overall the number of floating tiles cancels out and you have M=1/0.21=4.76 ...or so I would have thought. Is there not 84 times as many ways to order the "floating" mines when you add an 84th one?
Or is there also a factor taking into account that there's 7 times as many ways to order 7 mines in the "distinguishable" tiles (non-floating tiles) than 6 mines in the distinguishable tiles? Or would there be a factor for how many ways there are to divvy up 7+84 mines into distinguishable and floating tiles, or rather, how that number changes with each extra floating tile?
hey there, ive always played minesweeper ever since i was a kid but ive always quit every few months because the guessing and 50/50s was getting on my nerves. but then one of your videos, that classic opening one, had opened my eyes that there was always an optimal guessing spot. i was awe struck at how there was still optimal tiles to click even if there was no logic on the board. ever since then ive placed a bunch of hours into minesweeper every day since a few months ago maybe a bit too much haha. props for still making videos even though they dont hit the algorithm as much as some other videos because they help some people like me. thanks for even creating this channel in the first place and i hope to see more videos from you
I really want to see just how unhinged mine sweeper can get
Tell me that you weren't serious and it won't be the last minesweeper strategy video please !!!!
I mean I think I covered pretty much everything I know :P
@@MineBuoy o7
@@MineBuoy Don't be afraid of reteaching or revisiting concepts! (If you actually want to, of course.) You can always update knowledge, technique, explanation/angle, or even just video-making style.
However, the amount of useful information you probably get from clicking certain tiles is going to be much more than for other tiles. One might give you guaranteed deductions while others not achieving anything
I guess we should talk about quality of progress, though in my case that would be more of an opinion video than a fact teaching one
Would have been amazing if the video ended with you clicking the 1% and it had a bomb.
Funny you say that because it did :'/
Heartbroken at the end of minesweeper content
Thank you for making all these guessing videos! You definitely brought interest over minesweeper theory for a lot of people, I even know some players that started playing because of your videos!
As to this explanation, I think you synthesized it well!
thank you, next time I do mastery stream I am going to be hikaru and use this method
Thanks for the content Mr. Buoy
THE VIDEO I'VE BEEN WAITING FOR :D
Glad it reached you! :)
what a handle oh wow
Since you're a mastery player (or at least that's what you show off the most) I'm curious if you have any mastery-specific advice. For example, playing quickly when your win count is low and not being afraid to lose, but slowing down and playing more accurately when you have a good streak going. (Or tell me why that's a bad idea). Also, please keep doing RTMWR!
Yes! That's the reason I made the calculator you see at the right of the Road to mastery world record videos :)
I mention this advice in the "secret minesweeper weapon" video
I love this. Truly an useful way to deal with this problem!
I actually gave a talk about guessing in minesweeper last Monday, and this was definitely the part I felt I explained worst. I wish I had this video to reference then!
youre the best and the only minesweeper content creator ive ever seen. nice vids man
_laughs in guessless_
Your next goal is to teach how to choose the best probabale square without so much math. 😂
You might find that in the "never have I seen this before" video
@@MineBuoy I'll look it up, thanks.
Bombabilities
Is it you playing in the background?
It is ;)
Great video man keep it up :)
are you still doing rtmwr?
Probably yes, though Im not playing that much lately
Bomb probability is always 50%
It either is or it isn't a bomb, duh
Why?
Why is it so?
@@upsidewalks Just basic logic
@@potatopotpie69 It's not logical. Is it some kind of an inside joke?
@@upsidewalks yes, it's a standard probability 101 math joke
"disregard all the complications of statistics. Event either happens or not - thus 50%"
Very cool!
thank you :)
what often works is tiles that looks like not a bomb if it was slightly different
beast
quanto l'ho aspettato madonna
:)
bel video, molto interessante
Is 1 supposed to be almost certainly a bomb or almost certainly safe?
A bomb only 1% of the timed you click it :)
@@MineBuoy ah cool, ty
Whoaaa ok nice thank you so much 🩶
i dont understand ❤
Now tell me how to solve 50/50 :(
I almost certain there's a video about 50/50s in this channel, but to be honest I'm too lazy to check myself