Mittwoch, 16. September 2020
Vulcan's day

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
and
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




Dienstag, 15. September 2020
Thlingon's day

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




Montag, 14. September 2020
Monday on the Lucht

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