Who needs notes? (I do) | KenGlue - Squ4r1n9 the c1rcle
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- Опубликовано: 11 сен 2024
- Puzzle Link - sudokupad.app/...
Let me know in the comments how you do!
Thank you for watching please let me know if you have puzzle recommendations/requests or can teach me something!
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For all the comments talking about using a table of squares, here is a handy shortcut that should allow you to do any sudoku with this sort of ruleset without outside help.
To find a number Y that ends in a Z and is a square of number X, the final digit of X, squared, must itself have a final digit of Z.
So for example when trying to calculate a 3 digit square number ending in 6, the roots final digit *alone* must square to a number ending in 6. The only number that squares to numbers ending in 6 is 6 itself, so our only candidate square roots are numbers ending in 6 - 6, 16, 26, 36 etc.
For the 3 digit square ending in 4, the roots final digit can be either a 2 or an 8. So you get the options 2, 8, 12, 18, 22, 28 etc
Did it in about 8 minutes, but most of that was playing around in excel. I made a spreadsheet to get the squares of 1-100, then narrowed down the range to 25, then sorted out the answers that aren’t sudoku answers. Left 256, 324, 361, 625.
i would use a table of squares without hesitation, and i work with numbers every day
A big reason why I started doing sudoku is I want to get better about solving problems in my head, and improving my focus/attention span, so I prefer to do the math in my head when I can! Looking it up would've saved me some solve time for sure though :)
solved in 4:02. I started out with a moment of autopilot and acting on a different ruleset involving circles.
this puzzle's defining trick is just knowing what 2-digit and 3-digit square numbers have the same ones place as a 1-digit square. that throws out most options immediately, and leaves you with squaring numbers ending in 1, 2, 8, and 9. (example: 19 x 19 = 36*1*, and 1 x 1 = *1*.)
I made it difficult for myself because I didn't remember that I'm dealing with a 6x6 until I started doing sudoku and realised I didn't need the 7, 8 ,9 digits.
1:50
Nicely put together.
1.34 - helps having a decent knowledge of 2 & 3 digit squares
4:08 There's some fun puzzles that do similar things with prime numbers as well
3:37. Had to look up squares to 1000 before realising that I only needed the ones to 654. Enjoyed this
A little trick you can do to memorize square numbers is to look at the difference between consecutive squares. This difference goes up by 2 each time. For example, if you know 12 sq = 144 and 13 sq = 169, their difference is 25. To find the next square number, add 27 and you get 196 (14 sq). The next one after that is 196 + 29 = 225 (15 sq.) etc.
I didn't know this, nice!
This was a really tricky one; my first attempt I was mixing squares and cubes, which really made things bad 😅, but a few hours later made another attempt and got through in 3:44 (conflict checker off), though I did forget one square option that thankfully wasn't needed! Great solve, Kathy, you were more thorough than me, and I was a math major... oops. 😊
3:10 here, knowing the 3 digit squares helped a lot.
That was some really quick mafs! 👏👏👏
7:32 for me , had to cheat and Google squares , luckily there aren't too many between 1 & 1000.
Also I know it's a small point but I wish for puzzles like this , it would be pointed out whether 1 was considered square or not.
Neat puzzle at any rate.
Good job by the setters and Kathy.
I'm curious why you think 1 wouldn't be a square? To me it is obvious that it is but I have a very strong maths background so I'm probably not in a good place to put myself in the shoes of somebody without far too much maths in their past. :)
@@ChrisVenus I'm just being picky , as apparently sometimes 1 is also sometimes considered prime for some purposes but not others.
Also one is also able to be multiplied any number of times by itself and is still 1 , so it could also be considered a cube and I'm not even sure what the names of the other powers are lol.
@@donaldsnyder1543 Thanks for the reply. 1 is indeed also a cube and a... err.. fourth power thing whatever you'd call it. :)
As for prime I've certainly seen the confusion around one there. The main thing is that a prime number has only two distinct factors (1 and itself) but because the two factors have to be distinct 1 cannot be prime because it has no second factor different than 1.
I believe this is always true though it is of course possible for something like a sudoku to have rules that would add one into that set to make its rules work better or something. In general though if somebody asks younif one is prime you can say "No!".
5:04 for me, started without the square numbers table and had to look it up halfway cause I was not doing those multiplications today
Here is a helpful trick with squares. If you add the positive odd numbers in order, the sums are squares.
1 + 3 = 4
1 + 3 + 5 = 9
1 + 3 + 5 + 7 = 16
And so on...
So if you know two consecutive squares, you only need to know the difference between them, which is always an odd number, then add the next larger odd number to the larger square to work out the next square.
word pad is a quite sophisticated text editor that is installed on every windows machine.
note pad is also there, but is extremely primitive.
I used the javascript console app to gen all square from 1 to 30
In case you are wondering long multiplication (at least the way I was taught) is basically what you then did in your head. You right a zero on the right and then multiply by the 2 (ie 25 * 20). You then do the remaining 5 by 25 on the row below. You then add up the two numbers. Its basically a way of saying 25*25 = 25*(20+5) = 25*20 + 25*5 = 25*2*10 + 25*2. So apparently you can do long division, but only in your head. ;-)
Thank you! "Kathy learns elementary school math" stream when?😂
The square in Column 6 only works as 64, since it has to end in 1 or 4 & 81 doesn't work. When we work thru the chain of what affects what, I think most of the squares are locked in, all except one that works as 16 or 36. I didn't think of 16 working there, so I had it as 36. I did the whole puzzle a wrong way. So then I erased it all & watched a little longer on the video. Like, "Oh, yeah, that works as 16, too." Then I did the puzzle the proper way! 😀👍🏼
Given the limits (you only have six digits to use) only cursory knowledge of squares is needed. The single squares are 1 or 4, the geometry prevents 49 in the two cell squares... and the three cell squares become duplicated as they share digits in the same positions.
Completed in 1m12s.
Nice puzzle. Just under 6 minutes without a calculator
3 minutes, using the list of all squares below 1000
Just 2:04
Nice solve!
The legit square numbers are: 1, 4, 16, 25, 36, 64, 256, 324, 361, 625.
# Wrote a one liner to get me the valid squares:
~ raku -e '(^35).map(* ** 2).grep( *.chars