It is not a coincidence that 2025 is both the square of sum of 1 through 9. and the sum of the cubes of 1 through 9. To the contrary, it is Nicomachus’s theorem: the sum of the first n cubes is the square of the nth triangular number.
this is fairly easy to prove with induction: first, obviously, (1)^2 = 1^3. then, suppose that (1+...+k)^2 = 1^3+...+k^3, and let 1+...+k = K for the sake of brevity. now, (K+(k+1))^2 = (K)^2+2(K)(k+1)+(k+1)^2. since (K)^2 = 1^3+...+k^3 already, we need the rest to be (k+1)^3. finally, 2(K)(k+1) = 2(k(k+1)/2)(k+1) = k(k+1)(k+1) = k^3+2k^2+k, and (k+1)^2 = k^2+2k+1. adding these together, we get k^3+3k^2+3k+1, which is exactly the expansion of (k+1)^3.
@@expic3954 thanks, I'm not sure why it isn't the first one listed on the wikipedia page, they use some weird some weird identity about consecutive numbers. actually, looking at my proof again, I see a slight optimization in the last step: the two terms simplify to k(k+1)^2 and (k+1)^2 respectively, so factor out the (k+1)^2 to get (k+1)(k+1)^2 or simply (k+1)^3, no expansion necessary.
Ah yes, the sum of the first N cubes and the square of the sum of the first N numbers finally making an appearance in Sudoku. Being a math enthusiast and a sudoku enthusiast.. this.. this beings a smile to my face.
Two music intros in a row! We're being spoiled ❤ Looking forward to falling asleep to the first sudoku video of the year (not because it is boring, but because it is late and Simon chatting is calming)
I've been on medication that causes drowsiness for nine years now and for the most part as I've been decreasing the dosage I've shifted from cat naps during the day to the (early) evening time usually 6-10. So I'm half awake when I first listen to Simon's solve whilst cooking using the convention oven so my falling asleep again isn't a great problem. I then either rewatch in the early hours or during the day. I occasionally do the same with Mark's solves but I think due to the later release time I'm likely to be more awake. Live stream sessions I join when awake and normally dose off, rousing as it ends so play back straight away. Happy New Year to all of the CTC community.
31:34 another way I solved the green diamond, was the two white dots on the green diamond would force those four digits in column 5 of the diamond to be the same "polarity" either all above or below 5 (since you can't put a 4 or 6 on the diamond). If you put low digits on the north/south point of the diamond, that takes all the low digits in column 5. So now what do you put in box 2 column 5 to keep the total under 20 in the cage? You can't! So you know the big digits are north/south on the diamond.
The fact that the 25 cage had to contain 7, 8 and 9 the minute the 1 went in but Simon just completely ignored it and didn't even acknowledge it when he finally filled them in 😭😭
Happy new year, Simon! I figured out the polarity of the German whispers in a different way. Since you can't use 4 or 6 on the line, the numbers in those 2 white dots have to be all low or high. If they are low the 20 cage in box 2 brakes. I forgot to paste the time 00:41:58
1:00:52 the 8 in box 1 and the 6 in box 2 could’ve given you 8 in box 2 and 6 in box 3 as well. my mind always wanders and then has to catch up to your thought-chain :) Love the sudoku puzzles Simon! Merry new year!
I had to watch the video a little bit to be able to understand how to break in, but once I got that shown to me, I could do the rest on my own. Took me almost two hours, though. Was a great puzzle and a great video.
The logic to find the 1,9 pair in row 8 is indeed a 1 is quintessential Simon, makes multiple deductions about what various other cells in box 7 or row 9 must be instead of just looking at the 9 he already had in row 8.
I finished in 92:18 minutes. This was a tough puzzle. It started off very well with some nice coloring. I made some major progress, then I got hard stuck. I was tired, so I went to bed. I came back the next day and it was still hard. I didn't understand. That is, until I remembered the King's move ruleset. I felt like how Mark usually does when he forgets about chess rules. I quickly asked the question where does r8c4 sit in box 7 and that solved everything. It really sucks to forget a rule, but I'm going to use the excuse that I just woke up. That sounds like a good excuse. Despite my error, this was a really fun puzzle to color and solve. Great Puzzle!
Having a blast with the sudoku hunt so far. Thanks to Blobz for creation and also to CtC for publishing this as I can see a lot of these puzzles were created during Summer. Thanks for all the fantastic puzzles from all the wonderful setters in this community
01:42:00 for me with the distraction of college football (American :) ) on TV in the room. Great way to start the new year with a wonderful puzzle! Kind comment.
32:21. To me the fun part was the disambiguation of 7s and 9s at the end. Not once, but twice did I have to use the king rule while on my ending run, and I quickly noticed each time. I know that's a tiny part of the solution, but how often do I forget a rule at final disambiguation and I get stuck and go crazy?
Happy New Year to everyone! Just watched today, as I spent 8 hours today solving the new puzzle hunt from Blobz and did manage to finish, but my brain turned to mush after that, so... yeah. 😅 Regardless, a wonderful puzzle from Fool On Hill, many thanks to them!
I did it in 26:13 27:30 one thing I found useful is that R8C8 and R9C8 must also be brown as you need three brown cells in column 8. For example at 46:00, it means you can write 2 into R8C8, which simplifies a lot
There's a different way of resolving the whisper line that can be done right at the start, even before examining the colour mapping due to the long cages. We can't place the monogamous digits (4 or 6) on the whisper, so the kropki dots in column 5 can't take a 5. Which means c5c5 and r9c5 must have the same polarity as the whisper cells at r6c5 and r8c5. This places 4 cells of the same polarity on the kropki dots in col 5. But if they're low polarity (1234), then the 20-cage in box 2 has minimum digits 5+6+7=18 in c5r1-3. This leaves 2 digits to be placed in the cage adding to 20-18=2, which is impossible. Therefore, the polarity of the kropki dots must be high. One being 89 and the other being 67. The ordering is of course determined by the inability to place 5 on the other kropki dot in box 8 - as Simon demonstrated in the solve. Which leaves a 12 pair to complete the low polarity cells of the whisper. Also to mention, there was a missed opportunity at 46:00 Simon probably didn't pay much attention to the 25-cage in row 1, because with 4 cells, that's usually quite flexible. But as soon as the 1 is placed in the cage, that leaves 3 cells needing to add up to 24. The only way of doing that is with a 789 triple.
Took me over an hour to finish. I went in a completely different order from Simon but we still both ended with a deadly pattern that was disambiguated by the kings rule. Mine was the 79 domino's in the top left corner. Great puzzle
@Simon, there was a much easier way to figure out the polarity of the German diamond. Because of the two white dots, all four highs or lows are accounted for. Then look to box 2 where there is a 20 cage and ask yourself if it can handle three high or three low. The answer tells you the polarity.
By the way, Simon, in Sudokupad, click on Settings, expand Experimental group, and change 3-In-The-Corner-Effect to Snow Cannon. It sometimes changes for me too between different puzzles and I don't know why.
58:08 "indeed this digit [r7c9] has to be 8 now, and that 's going to be so the red digit is the corner digit, the yellow digit is the 8" - I don't quite get how Simon can now disambiguate which of 5 and 8 is red or yellow? (It follows from the 6 on the white dot in box 3, but Simon is not doing that, and the other two red and yellow are not looking at box 9/column9.) ... ah, Simon then noticed it and rolls it back.
As a nonnative speaker, "being in a ratio of 2" and "being a double of the other" sounds as being exactly the same difficulty to understand. It's fascinating to hear that for native speakers, that is not the case!
The word "ratio" is not so commonly used, nor so commonly intuitively understood. Double is more common and less likely to be misunderstood or put people off. Technically also, zero is double zero, but the ratio between two zeros is undefined - you'd only need that in a a modifier puzzle, but it keeps the possibility open.
1:20:10 for me. I wasted so much time because I forgot about the King's move restriction. I find it hard to remember the chess move restrictions because they're not readily apparent on the puzzle itself. Would it be possible to include a chess piece outside the puzzle or in the description as a reminder?
61:58 for my time. I felt like I was rather unefficient but this was a rather nice puzzle. The geometry of the 2 and 5 cages was rather straightforward but the geometry of the German whisper line was pretty unique.
"Berners-Lee has received many awards and honours. He was knighted by Queen Elizabeth II in the 2004 New Year Honours " "Lane Fox was appointed Commander of the Most Excellent Order of the British Empire (CBE) in the 2013 New Year Honours for "services to the digital economy and charity". Dunno if they count as social media. but they both contributed to enticing the general public onto (into?) the net.
Interesting how different my approach was to Simons. Well actually not interesting, it just showed again how brilliant Simon is and how slow my brain works 😂 I took out pen and paper to find out what combinations work in the 20 cage in box 2 by combining it with the secret in row 1 and the cage 25 & given 2. like this I went through all combinations to notice that at least 2 low digits from 1-4 must be on column 5, thus eliminating the posibility of 1234 in the diamond in box 8. 😂😂😂
It starts to get real tense near the one hour mark seeing if he'll pencil mark every single square before he fills in all the digits properly Edit: He did it 1:00:11
This puzzle is a warning against the dangers of overusing coloring. Simon made this unnecessarily complicated because he decided to have the puzzle revolve entirely around coloring instead of using the clues the way they would be expected to be used ordinarily and then doing sudoku to simplify pencil marks. And I do know sudoku is not Simon's strongest suit when it comes to these variant puzzles, but this puzzle had a worse display of this than usual, which to be fair, Simon himself admitted. But even leaving aside the sudoku shenanigans, the coloring was out of control, and made the puzzle a lot harder than it could have been for him.
Simon could have gotten rid of the entire coloring before he reached halfway through the puzzle. This trait of him is quite annoying, but we don't have everything we like in life, as they say.
i feel like you're too smart for your own good. Looks like you could have used Sudoku to solve some of the numbers in the later half. always impressed seeing your more advanced thought process regardless!
I thought the right hand side looked more promising and gave box 6 individual colours, I actually worked it out from there and only 20 mins slower. Simon's way made more sense.
This took me a while ... I made several mistakes in the beginning and had to roll back. And at the end I got a few deadly patterns left, only then I noticed that chess kings constraint. 173:50 in total, solve counter 711.
Now watching Simon, I find I made another mistake, but which turned out to be correct by pure chance - my logic was "A 6-cage summing to 21 can only be 123456, so a 5-cage summing to 20 must be 23456". (There are 5 other options.)
You feeling ok simon? There was some obvious stuff that you uncharacteristically missed for a long time. I usually cant solve these on my own without help from the video, but this time around i felt like i should have been helping you.
1 + 2 + 3 + ... + n = n(n+1)/2 and 1³ + 2³ + 3³ + ... + n³ = n²(n+1)²/4. And 2025 is where Project 2025 comes into its own. 12:30 "The Secret" is probably already well-known. 35:50 These digits were low-hanging fruit for me, although I derived the green line's polarity a different way. Column 5's three cells in the 20-cage had to be low, not high. 4 and 6 were barred from the green line, so the four cells with the dots at the bottom of column 5 had to have the same polarity, and had to be high.
Love how the word "ratio" can be said to put pepile off yet terms like "integer", "polarity", "oscillating," aren't seen that way. Also, if you aren't familiar with chess, "King's move / "knight's move" are equally acceptable. Seems to me if you want to dumb it down (and it's exactly that!) then you ban all those terms as well.
People's instinctive reactions to certain words aren't always necessarily logical. For example, people have a very negative instinctive reaction to the word "work" but a positive reaction to the term "hard work." Seems illogical, but it's nevertheless true. (Watch some speeches from successful American politicians. You'll find that they may say something takes "hard work" but almost never that something takes "work.")
This from the only guy who I've ever heard throw out the Latin phrase "ab initio" fairly regularly. But sure, "ratio" is too complicated for us simple folk to understand. 😂
I think u too much overcomplicated this puzzle 😂 On start in 1 ● 2 ● 4 it could be this combination or 2,4,8 thats why there is 2 on on the right to remove 2,4,8 combination.
This is the best solve you’ve posted this year!
I actually thought it was the worst!
And I thought this is average solve. How peculiar that we all have so different opinions.
And somehow you are all right? :O
The best?.. Simon made so many errors in this one.... was fun to watch and refreshing that the genius that he is can get the simplest things wrong.
@@pascalbriand9987 I think you missed the jokes we 3 went for...
This being the only video this year. :D
It is not a coincidence that 2025 is both the square of sum of 1 through 9. and the sum of the cubes of 1 through 9. To the contrary, it is Nicomachus’s theorem: the sum of the first n cubes is the square of the nth triangular number.
@@malvoliosf yes it always true
Sum of cubes till n = (N+1C2)^2
And sum of first n numbers = N+1 C2
this is fairly easy to prove with induction:
first, obviously, (1)^2 = 1^3.
then, suppose that (1+...+k)^2 = 1^3+...+k^3, and let 1+...+k = K for the sake of brevity.
now, (K+(k+1))^2 = (K)^2+2(K)(k+1)+(k+1)^2.
since (K)^2 = 1^3+...+k^3 already, we need the rest to be (k+1)^3.
finally, 2(K)(k+1) = 2(k(k+1)/2)(k+1) = k(k+1)(k+1) = k^3+2k^2+k, and (k+1)^2 = k^2+2k+1. adding these together, we get k^3+3k^2+3k+1, which is exactly the expansion of (k+1)^3.
or, you could rub yourself in a tub with a nice sponge
@@tBagley43 I love this proof :)
@@expic3954 thanks, I'm not sure why it isn't the first one listed on the wikipedia page, they use some weird some weird identity about consecutive numbers.
actually, looking at my proof again, I see a slight optimization in the last step: the two terms simplify to k(k+1)^2 and (k+1)^2 respectively, so factor out the (k+1)^2 to get (k+1)(k+1)^2 or simply (k+1)^3, no expansion necessary.
"Brown is horrible with yellow and orange", so you remember the 1970s too.
Still better than the 90s. "Uh, black goes well with... grey."
A fun extension of the 45^2 trivia 😊
(20+25)(20+25) = 2025
a classic: couldn't solve that for the life of me... then 1 second after clicking on the video I've realized there is the king constraint...
🎉🎉 Beverley is my Wife and she is over the moon with being mentioned on here for her 40th Birthday. 6:07
I would have never thought a sudoku solving channel could ever get more than a couple thousand subs, 600k is just crazy but you absolutely deserve it
And still it is just 2 dudes solving sudokus, with improvised holiday setups, guitar intros, personal life interruptions etc.
Ah yes, the sum of the first N cubes and the square of the sum of the first N numbers finally making an appearance in Sudoku. Being a math enthusiast and a sudoku enthusiast.. this.. this beings a smile to my face.
Two music intros in a row! We're being spoiled ❤ Looking forward to falling asleep to the first sudoku video of the year (not because it is boring, but because it is late and Simon chatting is calming)
I've been on medication that causes drowsiness for nine years now and for the most part as I've been decreasing the dosage I've shifted from cat naps during the day to the (early) evening time usually 6-10. So I'm half awake when I first listen to Simon's solve whilst cooking using the convention oven so my falling asleep again isn't a great problem. I then either rewatch in the early hours or during the day. I occasionally do the same with Mark's solves but I think due to the later release time I'm likely to be more awake. Live stream sessions I join when awake and normally dose off, rousing as it ends so play back straight away.
Happy New Year to all of the CTC community.
31:34 another way I solved the green diamond, was the two white dots on the green diamond would force those four digits in column 5 of the diamond to be the same "polarity" either all above or below 5 (since you can't put a 4 or 6 on the diamond). If you put low digits on the north/south point of the diamond, that takes all the low digits in column 5. So now what do you put in box 2 column 5 to keep the total under 20 in the cage? You can't! So you know the big digits are north/south on the diamond.
That’s how I did it. Pretty much the first thing I did. Then got in a slog of pencil marks and colours.
Same but for sure I could not describe it as eloquently as you 😂
A musical intro and a new sudoku hunt, they are treating us today. Loving the hunt so far.
So fun to watch Simon totally ignoring the 20 and 25 cages for the longest time. Very enjoyable!
The fact that the 25 cage had to contain 7, 8 and 9 the minute the 1 went in but Simon just completely ignored it and didn't even acknowledge it when he finally filled them in 😭😭
51:29 Simon doing math on row 1 with a 1 in a four-cell 25 cage and not immediately filling the other cells with 789 (and revealing the 3 in box 3).
Doing maths on the row before doing maths on the cage was such a Simon move. 😂
Doing maths on the row before doing maths on the cage was such a Simon move. 😂
Those poor cages sitting ignored the entire solve - even through doing lots and lots of maths on the row 😂
Killer cages are his new "it's probably sudoku isn't it" always a joy to watch though 👍❤
It took me an embarrassingly long time to do that too. 😅
this is my first puzzle ive attempted from this channel and i had so much fun figuring things out :D
Happy new year, Simon!
I figured out the polarity of the German whispers in a different way. Since you can't use 4 or 6 on the line, the numbers in those 2 white dots have to be all low or high. If they are low the 20 cage in box 2 brakes.
I forgot to paste the time 00:41:58
Agreed. That was the first thing I found out about the puzzle.
Yes: I was hoping someone would mention that.
I'm curios how many times Simon has found a deduction following the question "can I get a 3 in the corner?"
At some point I want the phrase "by meme-uniqueness we know thats a 3 but we don't want to use uniqueness"
16:02 for me, nice approachable puzzle and a good lesson for everyone getting to know how killercages and kings move work together
1:00:52 the 8 in box 1 and the 6 in box 2 could’ve given you 8 in box 2 and 6 in box 3 as well.
my mind always wanders and then has to catch up to your thought-chain :)
Love the sudoku puzzles Simon! Merry new year!
43:02 ... I'm happy to have figured out the first sudoku of the new year.
Nice puzzle!
I had to watch the video a little bit to be able to understand how to break in, but once I got that shown to me, I could do the rest on my own. Took me almost two hours, though. Was a great puzzle and a great video.
The logic to find the 1,9 pair in row 8 is indeed a 1 is quintessential Simon, makes multiple deductions about what various other cells in box 7 or row 9 must be instead of just looking at the 9 he already had in row 8.
I finished in 92:18 minutes. This was a tough puzzle. It started off very well with some nice coloring. I made some major progress, then I got hard stuck. I was tired, so I went to bed. I came back the next day and it was still hard. I didn't understand. That is, until I remembered the King's move ruleset. I felt like how Mark usually does when he forgets about chess rules. I quickly asked the question where does r8c4 sit in box 7 and that solved everything. It really sucks to forget a rule, but I'm going to use the excuse that I just woke up. That sounds like a good excuse. Despite my error, this was a really fun puzzle to color and solve. Great Puzzle!
Lovely puzzle, and a (for me!) blazing 51:16 solve. Perhaps I should quit now and keep a perfect "beat all of Simon's times" record for the year. 😉
Lol
An awesome Puzzle!
Lovely puzzle thanks for posting
I wonder if anyone has made a wrogn sudoku with a Christmas theme and named it 'Wrogn around the Christmas three' 🤔 that would be quite art
😂😂😂
Amazing idea!
Having a blast with the sudoku hunt so far. Thanks to Blobz for creation and also to CtC for publishing this as I can see a lot of these puzzles were created during Summer. Thanks for all the fantastic puzzles from all the wonderful setters in this community
01:42:00 for me with the distraction of college football (American :) ) on TV in the room. Great way to start the new year with a wonderful puzzle! Kind comment.
17:09 for me. Very enjoyable puzzle!!
32:21. To me the fun part was the disambiguation of 7s and 9s at the end. Not once, but twice did I have to use the king rule while on my ending run, and I quickly noticed each time. I know that's a tiny part of the solution, but how often do I forget a rule at final disambiguation and I get stuck and go crazy?
58mins interesting break in. Loved it.
Happy New Year to everyone! Just watched today, as I spent 8 hours today solving the new puzzle hunt from Blobz and did manage to finish, but my brain turned to mush after that, so... yeah. 😅 Regardless, a wonderful puzzle from Fool On Hill, many thanks to them!
You finished those 19 puzzles in 8 hours? -- good going! 😺
Finished in 36:32 with help from the video. Great puzzle!
1:47:55 - Phew! That was tough!
The obsession with 3 in the corner throughout this puzzle is absolute comedy 😁 thank you Simon!
The option for the 3 in the corner animation is in "Settings" under "Experimental".
It can be Cracking the Christmas all year long.
I did it in 26:13
27:30 one thing I found useful is that R8C8 and R9C8 must also be brown as you need three brown cells in column 8. For example at 46:00, it means you can write 2 into R8C8, which simplifies a lot
I just watched the extra few minutes to watch Simon make that deduction
This puzzle is undoubtedly pencil mark heaven.
Oh sweet, my new favorite math. Any triangular # squared = the component digits cubed then summed
Absolutely brilliant puzzle.
Magnificent construction
There's a different way of resolving the whisper line that can be done right at the start, even before examining the colour mapping due to the long cages.
We can't place the monogamous digits (4 or 6) on the whisper, so the kropki dots in column 5 can't take a 5.
Which means c5c5 and r9c5 must have the same polarity as the whisper cells at r6c5 and r8c5.
This places 4 cells of the same polarity on the kropki dots in col 5.
But if they're low polarity (1234), then the 20-cage in box 2 has minimum digits 5+6+7=18 in c5r1-3.
This leaves 2 digits to be placed in the cage adding to 20-18=2, which is impossible.
Therefore, the polarity of the kropki dots must be high. One being 89 and the other being 67.
The ordering is of course determined by the inability to place 5 on the other kropki dot in box 8 - as Simon demonstrated in the solve.
Which leaves a 12 pair to complete the low polarity cells of the whisper.
Also to mention, there was a missed opportunity at 46:00
Simon probably didn't pay much attention to the 25-cage in row 1, because with 4 cells, that's usually quite flexible.
But as soon as the 1 is placed in the cage, that leaves 3 cells needing to add up to 24.
The only way of doing that is with a 789 triple.
Took me over an hour to finish. I went in a completely different order from Simon but we still both ended with a deadly pattern that was disambiguated by the kings rule. Mine was the 79 domino's in the top left corner. Great puzzle
Naughty naughty Sven! Christmas three is already missed. Was expecting it to be around for another week😂
And there was even a "round" green door.
I enjoyed this a lot once someone reminded me and got me out of the zone on The Hobbit
@Simon, there was a much easier way to figure out the polarity of the German diamond. Because of the two white dots, all four highs or lows are accounted for. Then look to box 2 where there is a 20 cage and ask yourself if it can handle three high or three low. The answer tells you the polarity.
Solved it with help from the video.
31:48 for me, i am surprised by myself never thought i will be this fast
By the way, Simon, in Sudokupad, click on Settings, expand Experimental group, and change 3-In-The-Corner-Effect to Snow Cannon. It sometimes changes for me too between different puzzles and I don't know why.
24:22 today. not a bad start of the year
It's always true that the sum of cubes from 1 to n is equal to the square of the sum of 1 to n
Edit: I seem to be about the tenth to make that remark
Long and grindy but I don't think I ever got too stuck. Not bad.
the more ABBA intros the better 🙌🏻
The sum of the cubes of the first x integers is equal to the square of the sum of the first x integers ie (1 + 2 + … + x)^2 = 1^3 + 2^3 + … + x^3
fun yet challenging
Indeed. How someone can call it approachable is beyond me. 81:23, but I'm no good at doing geometry.
Happy New Year
Not sure why Simon used math in row 1 without using the 25 box and made it a lot harder, but hey, he got it, he just had to work really hard.
The colors, Duke! The colors! 🌈🐕
Uhh...I'm colorblind kid
Well done Simon.
58:08 "indeed this digit [r7c9] has to be 8 now, and that 's going to be so the red digit is the corner digit, the yellow digit is the 8" - I don't quite get how Simon can now disambiguate which of 5 and 8 is red or yellow? (It follows from the 6 on the white dot in box 3, but Simon is not doing that, and the other two red and yellow are not looking at box 9/column9.) ... ah, Simon then noticed it and rolls it back.
An eyetracker overlay would be interesting
As a nonnative speaker, "being in a ratio of 2" and "being a double of the other" sounds as being exactly the same difficulty to understand. It's fascinating to hear that for native speakers, that is not the case!
The word "ratio" is not so commonly used, nor so commonly intuitively understood. Double is more common and less likely to be misunderstood or put people off. Technically also, zero is double zero, but the ratio between two zeros is undefined - you'd only need that in a a modifier puzzle, but it keeps the possibility open.
Trying to solve this puzzle, I felt like a fool trying to solve a sudoku. Sometimes it's the supposedly easier puzzles which catch you out.
OF COURSE at 41:05, after eliminating 7 from row 6, and eliminating 5 from row 6, he stopped looking at row 8 to eliminate 9 :D
Simon renamed this puzzle "kaleidoscope"
Nice puzzle. It took me almost 2,5h and I found interesting that my first digit was 2 on r5c2 which was almost Simon's last digit 😅
At the 51 minute mark, the kings move give you 1 in box 2
1:20:10 for me. I wasted so much time because I forgot about the King's move restriction. I find it hard to remember the chess move restrictions because they're not readily apparent on the puzzle itself. Would it be possible to include a chess piece outside the puzzle or in the description as a reminder?
Tried it again from the start, remembering the rule, and got it in 35:35.
61:58 for my time. I felt like I was rather unefficient but this was a rather nice puzzle. The geometry of the 2 and 5 cages was rather straightforward but the geometry of the German whisper line was pretty unique.
this one took a few to get the break in going but after that it was fun
45:53
Nice and straightforward
"Berners-Lee has received many awards and honours. He was knighted by Queen Elizabeth II in the 2004 New Year Honours "
"Lane Fox was appointed Commander of the Most Excellent Order of the British Empire (CBE) in the 2013 New Year Honours for "services to the digital economy and charity".
Dunno if they count as social media. but they both contributed to enticing the general public onto (into?) the net.
Interesting how different my approach was to Simons. Well actually not interesting, it just showed again how brilliant Simon is and how slow my brain works 😂 I took out pen and paper to find out what combinations work in the 20 cage in box 2 by combining it with the secret in row 1 and the cage 25 & given 2. like this I went through all combinations to notice that at least 2 low digits from 1-4 must be on column 5, thus eliminating the posibility of 1234 in the diamond in box 8. 😂😂😂
Great video guys
bro didnt even watch it
Yes I did, I put it on 100x speed
It starts to get real tense near the one hour mark seeing if he'll pencil mark every single square before he fills in all the digits properly
Edit: He did it 1:00:11
1:01:40 NO RED 5 STANDING BY!!!!!!!!!
This puzzle is a warning against the dangers of overusing coloring. Simon made this unnecessarily complicated because he decided to have the puzzle revolve entirely around coloring instead of using the clues the way they would be expected to be used ordinarily and then doing sudoku to simplify pencil marks. And I do know sudoku is not Simon's strongest suit when it comes to these variant puzzles, but this puzzle had a worse display of this than usual, which to be fair, Simon himself admitted. But even leaving aside the sudoku shenanigans, the coloring was out of control, and made the puzzle a lot harder than it could have been for him.
Simon could have gotten rid of the entire coloring before he reached halfway through the puzzle. This trait of him is quite annoying, but we don't have everything we like in life, as they say.
@@nestoreleuteriopaivabendo5415 Indeed.
i feel like you're too smart for your own good. Looks like you could have used Sudoku to solve some of the numbers in the later half. always impressed seeing your more advanced thought process regardless!
Would have been if the 9 cell cages had 20+25 written on their top left.
I thought the right hand side looked more promising and gave box 6 individual colours, I actually worked it out from there and only 20 mins slower. Simon's way made more sense.
58:17 How do you know the red digit is the corner digit here?
(EDIT: Ha, same question answered seconds later. “I don’t trust that!”)
Wow! Rules wrongly explained at 9:32! (black dot explained instead of white one).
Where can I get a sudoku app for iPad, that allows me to colour cells?
Pink? That's clearly purple...
11:40 How can r3c8 ever be 8 if r1c8 cannot be 2?
Have there been 12 days of Christmas Sudoku previously ?
27:31 for me.
This took me a while ... I made several mistakes in the beginning and had to roll back. And at the end I got a few deadly patterns left, only then I noticed that chess kings constraint.
173:50 in total, solve counter 711.
Now watching Simon, I find I made another mistake, but which turned out to be correct by pure chance - my logic was "A 6-cage summing to 21 can only be 123456, so a 5-cage summing to 20 must be 23456". (There are 5 other options.)
22:18 for me
You feeling ok simon? There was some obvious stuff that you uncharacteristically missed for a long time. I usually cant solve these on my own without help from the video, but this time around i felt like i should have been helping you.
While were all here doing some exciting New Year math: If you do nothing to 2025, youll get 2025
49:50 with help from the video to see that r8c4 had to be in r9c1.
27:20 Simon, please never put that red-green-brown combination together again.
oof this one was really hard for me to solve. Solve time: 03:07:26
1 + 2 + 3 + ... + n = n(n+1)/2 and 1³ + 2³ + 3³ + ... + n³ = n²(n+1)²/4. And 2025 is where Project 2025 comes into its own.
12:30 "The Secret" is probably already well-known.
35:50 These digits were low-hanging fruit for me, although I derived the green line's polarity a different way. Column 5's three cells in the 20-cage had to be low, not high. 4 and 6 were barred from the green line, so the four cells with the dots at the bottom of column 5 had to have the same polarity, and had to be high.
That is not the most dreadful pencil marking. You haven't seen how I play. Ctrl+a, then ctrl+1 through 9. Everything is process of elimination.
Love how the word "ratio" can be said to put pepile off yet terms like "integer", "polarity", "oscillating," aren't seen that way. Also, if you aren't familiar with chess, "King's move / "knight's move" are equally acceptable.
Seems to me if you want to dumb it down (and it's exactly that!) then you ban all those terms as well.
People's instinctive reactions to certain words aren't always necessarily logical. For example, people have a very negative instinctive reaction to the word "work" but a positive reaction to the term "hard work." Seems illogical, but it's nevertheless true. (Watch some speeches from successful American politicians. You'll find that they may say something takes "hard work" but almost never that something takes "work.")
This from the only guy who I've ever heard throw out the Latin phrase "ab initio" fairly regularly. But sure, "ratio" is too complicated for us simple folk to understand. 😂
If you canonball the even numbers in 2025 by adding them, you get 45.
I think u too much overcomplicated this puzzle 😂
On start in 1 ● 2 ● 4 it could be this combination or 2,4,8 thats why there is 2 on on the right to remove 2,4,8 combination.
...or 4-2-1?
(8-4-2 could also have been eliminated, but requires the 6-8 pair to be identified in box 1 first.)