4 min 06sec
5 min 0sec
1 min 53 sec
Question how many possibilities are existent for a futoshiki of nxn version where no condition via inequalities is existent
Answer : this is the product of all n! from 1 to n
Proof via induction
for n = 1 this is 1 ! it's clear
Now look at the table for an example 1 to 2
* | 2 | * | 1 | * |
* | 1 | * | 2 | * |
Everywhere where the * ist placed the 3 can be inserted
for once in a row and in a column.
So these are 3 *2 , possiblities , so this is exactly the factor 3!. Which we desired. The proof is now clear and left to the reader.
Note for 2 there are just 2 possiblilities
1 | 2 |
2 | 1 |
2 | 1 |
1 | 2 |
So the proof should now be clear and follows from peano and induction.
Other thoughts , like the amount of possible sudoku combinations , follow the pattern of a placeholder like this , if they are implemented in a clever way, and are as trivial and easy.
5 min 20 sec, 12 x 12 Daily Network, no wrap, easy
3 min 21 sec , sky hard 5x5
5 min 5 sec
Greetings
B__k_s K_f_r
2min 13 sec
4 min 27 sec
3 min 11 sec
totally drunk, 6 min 3sec, 1/2 bottle white wine, 1 beer
Thlingon's baacht maatcha day
puzzle bridges hashi hard , last stage in 4min 20 sec
2 min 07 sec
hashi hard , brainbashers, 4 min 56 sec
1 min 18 sec
P.S.: I hope i didn't mispelled the old celtic name
By the way, not everything is like trigema
Thats why. Learn Klingon, 200 worlds cannot err
https://www.sprachkurs-klingonisch-lernen.de/Why don't you visit the klingon language institute
https://www.kli.org/There is no excuse , you can learn klingon for free
https://www.syfy.com/syfywire/theres-no-excuse-now-you-can-learn-klingon-for-free-online Here's the klingon alphabet
So next time , i will as you
tlhIngan Hol Dajatlh'a'
Which is : Do you speak klingon ?
And i expect
tlhIngan Hol vIrurlaH
Translated: I can talk klingon a little bit
Or other nations like the romulans , with their flag depicted blelow
Or the vulanians, of which spock descended. Below their flag
By the way: 1min 58 sec
A rather poor skyscraper 6x6 Medium , 10 min 35 sec
Juli 2025 |
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