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What a Mathematician can do with a Ruleset ...
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Күн бұрынHere's where you can try Exponentially Bounded Thermos by Amin Khalek: app.crackingth...
Normal sudoku rules apply. Normal thermo rules DO NOT apply. Each thermo consists of at least two numbers (each possibly multi-digit, with the unit digit towards the tip) that increase - at least doubling and at most tripling each time. Cells with an arrow pointing to an adjacent thermo cell must indicate how many digits the adjacent number on the thermo has. In cages, digits must sum to the clue in the top left corner of the cage.
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Hi! We're Simon Anthony and Mark Goodliffe, two of the UK's most enthusiastic puzzle solvers. We have both represented the UK at the World Sudoku Championships and the World Puzzle Championships. We're also "cryptic crossword" aficionados. Mark is the twelve-time winner of The Times crossword championship and twice Senior World Champion in Sudoku, and Simon is the former record holder for most consecutive correct solutions to The Listener crossword. We hope we can help your puzzle solving while also introducing you to some of the world's best puzzles.
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▶ Contents ◀
0:00 Theme Music & News around the channel
2:28 Rules of today’s puzzle
4:58 Start Of Solve - Let's Get Cracking!
@LednacekZ 6 ай бұрын
38:00 mistake. it must go 26 or higher. he got lucky.
@air_rock 6 ай бұрын
I wouldn't say he got "lucky", only that he didn't do the math at that point. Lucky to me implies he put in a correct number into a cell using flawed logic. He got "lucky" later do to not including the possibility of being 27 or 26.
@tabris1135 6 ай бұрын
@@air_rock which means he got lucky. He made a wrong deduction, and because the puzzles solution didn't involve a 7 in that slot, that was luck.
@stupidas9466 6 ай бұрын
And if that mistake didn’t just "happen" to work out, imagine if it was 15 entered numbers with 70 pencil marks later when he realized there was a mistake "somewhere" and had to try and find out where it was! Mark is fantastic in backtracking but in a puzzle like this it definitely would not be easy.
@iarmycombo5659 6 ай бұрын
Not that lucky. Im quite sure even if it came to bite him in the ass, he wouldve found the mistake in 5 minutes. Saying he got lucky implies he got something out of it, and the only thing he really got was 5-10 minutes faster time. Dont really see the worth in that as it was already over half an hour. Yeah he won the lottery but for what, 10 quid?
@ajreukgjdi94 6 ай бұрын
@@air_rock There's a period between those two statements which means they are separate. They show up in the same comment which means they are related. Sounds exactly like what you said.
@thanderhop1489 6 ай бұрын
The rule that each new segment of a longer length has to start with 1 or 2 is strongly related to "Benford's Law" for those who have heard of that.
@samueldeandrade8535 6 ай бұрын
Hehehe. Man, I have a degree in Mathematics. So this puzzle and your comment are absolutely amazing to me.
@iarmycombo5659 6 ай бұрын
I hadnt but now i googled it and its quite interesting :D
@shaunbrowne9870 6 ай бұрын
I kept thinking numbers higher on the thermo MUST be 2X or 3X rather than those being the limits. Ugh.
@samueldeandrade8535 6 ай бұрын
Ohhhhhhh. I couldn't solve it because I thought the same thing. Will try it again.
@joethornton5321 6 ай бұрын
I should've read your comment before I started the puzzle. Made the same mistake.
@ericsjoberg8167 6 ай бұрын
Same here. Looked at the end of the video because I couldn’t make sense of the thermos and was very confused how 99 could be a 2x or 3x of 47 🤪
@rage4dorder 6 ай бұрын
Great solve! Very interesting rule set. There was one small mistake where in R3C1 you said you needed at most 26 instead of at least 26 but it wound up working out.
@nakorbluerider 6 ай бұрын
Re: yesterday's puzzle, I thought your explanation of the rules was perfectly fine. I often try the puzzles before watching the video at all, and I think it might be those of us who tried it before hearing your version of the rules who got confused. That's what ended up happening with me; I didn't grok the rules, went back and watched until the rules explanation, then understanding it went back and did the puzzle again.
@TehFilmFanatic 6 ай бұрын
I think the thumbnail is supposed to have that +1 in subscript
@W.Andersson 6 ай бұрын
Weird one indeed! Great solve! (Got a little lucky that the missing 7 at 38:01 didn't matter though ;)
@stupidas9466 6 ай бұрын
And the missing 8 and 9 there as well.
@Illithien 6 ай бұрын
@@stupidas9466 There's already a 89-pair in column 1 by that time
@laju 6 ай бұрын
Completely wrong pencil markings there except the 6. The bulb end has 13, so 6 is the MINIMUM not the maximum. Really lucky that 6 ended up being the right one (and not 7).
@emilywilliams3237 6 ай бұрын
Well. For you saying that this is not your type of puzzle, you certainly did it smoothly, it seemed to me, Mark. Thank you for bringing this odd puzzle to us - I am going to make sure my math-teacher son sees this one!
@Acylumgaming 6 ай бұрын
The rulesets lately have been like "Digits in cages are found in the zip code of the local grocery store."
@Krom5072 5 ай бұрын
30:58 "I feel like a drill sergeant now" that had me rolling
@joelstevens5670 6 ай бұрын
Fantastic puzzle. The way setters keep coming up with these new rulesets is amazing. :)
@Jindychick 6 ай бұрын
I loved watching how you solved this. Very entertaining as my brain couldn't even wrap around the rules, nevermind solve it:)
@eddieharwood7788 6 ай бұрын
I enjoyed that one. After looking impossible there only seemed to be one way to go and that got things going nicely. Mark of course was much faster than I was in working that out.
@chocolateboy300 3 ай бұрын
I finished in 88 minutes. The ruleset was not very well designed in its explanation. I thought the rules could be interpreted as being the thermo could stop making doubled/tripled numbers after two number values were achieved. So, on a 4 line thermo, it could go 1 cell, 2 cell that is between doubled/tripled, and another single cell that has no bearing. It would have been better to say that thermo rules apply, but that some may be multidigit and must be between doubled/tripled. As for the arrow, I interpreted it as the arrow cell saying how many times the digit it points to appears on that thermo. I couldn't even begin since I didn't understand the rules. Watching the start of the solve in the video cleared things up massively. I think with instructions that are complexly worded like this should include a smaller example solution created by the constructor to dispel any confusion. Beyond that, I did enjoy the puzzle, so I guess this video can be used as a reference in future puzzles with similar rules. Confusingly worded rules, but Great Puzzle!
@anaayoung9142 6 ай бұрын
What a hard puzzle, could not think how to solve it 😅 so thanks for your solve Mark 😀
@jurjenvanderhoek316 6 ай бұрын
18:07 "fifteen thousand divided by three is three thousand" ?
@Volvoman90 5 ай бұрын
I picked up on that too. Surely 15,000 / 3 yields the digit for R8C9 being a 5?
@arturocaissut1071 6 ай бұрын
I initially failed on account of misreading the rule, I thought each subsequent number must be doubled or tripled. Then I realized my mistake.
@Gonzalo_Garcia_ 6 ай бұрын
31:59 for me. Weird puzzle, but I liked it!!
@bait6652 6 ай бұрын
Awesome ....the units digit rule isnt needed. I started off doing the puzzle wrong cuz i had the highee 10^s digit towards the tip and ended up getting stuck... Came back to reread the rules .... Then wondered if the other way would lead to another solution turna out u can prove there is none...or rather I hope it's correct
@paweadam2148 6 ай бұрын
Hi guys, I don't quite understand why Mark in 38:00 said that in r3c1 this number can't be above 26?? I thought that it can't be BELOW 26. Could you answer please?
@Rach881101 6 ай бұрын
41:50 for me. Interesting puzzle!
@ajreukgjdi94 6 ай бұрын
I think the "+1" in the thumbnail for the video was supposed to also be part of the subscript
@28Cryptic743 6 ай бұрын
I was thinking I had some of the lines figured out and then you started insisting that numbers can be multiplied by any fraction between 2 and 3 which blew my logic
@awilliams1701 6 ай бұрын
R3C1 isn't pencil marked correctly. You had it going up to 26. It must be at least 26. So it's 26 or 27. (8/9 pair already in the column at that time)
@titusadduxas 6 ай бұрын
1:05:05 - That was a real struggle.
@F1r1at 6 ай бұрын
Such puzzles are exactly why I hate rules told by Mark. I started solving it, thinking that numbers should either double or tripple on the lines, and it just didn't work. By the moment I realized my mistake I already seen most of the puzzle solving. It's not that hard to just visualize the rules, like Simon does, giving examples of what's possible and what's not, while actually typing the digits. But it'd help alot.
@matthewjohnson6360 6 ай бұрын
I also go to the comments before watching.
@stevieinselby 6 ай бұрын
That was a fantastic puzzle 👍🏻 ... unfortunately I stuffed up somewhere during the solve 😭 ... it was _mostly_ right but then the wheels fell off right towards the end. But that's definitely my fault and nothing wrong with the puzzle!
@HemmligtNavn 6 ай бұрын
but they aren't exponentially bound - they are linearly bound ;-)
@honered1 6 ай бұрын
Another puzzle with poor directions by the constructor. It’s like a college professor who is genius level smart but can’t teach or relate their thoughts to others.
@nightwishlover8913 6 ай бұрын
Oh silly me - I assumed that the little arrows would point to the beginning of the thermo numbers...19.08 1, 2, 4, 8 or 9. 9?? Because 2 x 4 = 9, obviously...It also appears that2 and 5 can be consecutive numbers on a thermo!!! What evil contorted mind thought this lot up? Disliked. My opinion.
@Tahgtahv 6 ай бұрын
8 and 9 are single digit numbers between 4*2 (8), and 4*3(12).
@Qazqi 6 ай бұрын
It says in the rules that the next number is from twice to triple the previous number. So for example, after 4, you can have 8-12 (and at 19:08, it's a single digit, so only 8 or 9).
@ande5460 6 ай бұрын
The rules don’t say exactly a multiple of 2. 9 divide by 4 is between 2 and 3 so it is possible.
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