View unanswered posts | View active topics It is currently Thu Mar 28, 2024 4:01 pm



← Back to the Calcudoku puzzle page




Reply to topic  [ 5 posts ] 
 Calcudoku with factorial 
Author Message

Posted on: Fri Dec 27, 2013 10:47 am




Posts: 57
Joined: Sun Feb 03, 2013 3:25 am
Post Calcudoku with factorial
In the beginning, I’m sorry for my bad English. [blush] [cool]

I tried to create a new type of the Calcudoku puzzle: 5×5 "multiop" with "!".
This one should contain all of operations, which we know here (except negative numbers, though it isn’t operation), + factorial.
Operations "+", "–", "×", ":", "^", "|" and "mod" work as usually; both "factorial" cages show result of multiplicated cells (no sum).

For example: n! / 10 in 3-cells cage (in 5×5) >>> possible results: only 12 (120/10 = (2 × 3 × 4 × 5)/10; 72 is impossible);
thus combinations 1 × 3 × 4 and 2 × 2 × 3.

Note: Variables "a" and "b" can be different or identical; a, b ε N, of course.

Image

Good luck for solving… [smile]


Last edited by kozibrada on Sun Oct 01, 2017 4:44 pm, edited 2 times in total.



Profile

Posted on: Fri Dec 27, 2013 11:14 pm




Posts: 855
Joined: Fri May 13, 2011 6:51 pm
Post Re: Calcudoku with factorial
kozibrada wrote:
...

For example: n! / 10 in 3-cells cage >>> possible results: only 12 (120/10 = (2 × 3 × 4 × 5)/10; 72 is impossible);
thus combinations 1 × 3 × 4 and 2 × 2 × 3.

Note: Variables "a" and "b" can be different or identical; a, b ε N, of course.

...
Good luck for solving… [smile]


Hi, kozibrada, the idea is very interesting since all new operations enrich the puzzles and improve the variety. I have solved the puzzle and I think I can confirm that the solution is unique.

With respect to the notation and to avoid misundertandings I suggest to use always n! / N, where N is the appropriate divisor, 10 in your example, etc.. In this way it would not be necessary to use a!, b!, c!, etc., since n could represent any number in the valid range for that specific calcudoku.

Happy New Year.


Profile

Posted on: Sat Dec 28, 2013 12:45 am




Posts: 57
Joined: Sun Feb 03, 2013 3:25 am
Post Re: Calcudoku with factorial
clm wrote:
[…]
With respect to the notation and to avoid misundertandings I suggest to use always n! / N, where N is the appropriate divisor, 10 in your example, etc.. In this way it would not be necessary to use a!, b!, c!, etc., since n could represent any number in the valid range for that specific calcudoku.
[…]

Hi, clm, thanks for reaction. [smile]

I agree, “n!” is better, especially for survey in larger puzzles. I chose two variables just because of the first (probably) puzzle of this type – for fact that “a” and “b” don’t have to be equal…


Last edited by kozibrada on Wed Feb 11, 2015 3:08 am, edited 1 time in total.



Profile

Posted on: Fri Jan 03, 2014 2:39 pm




Posts: 84
Joined: Fri May 13, 2011 9:37 am
Post Re: Calcudoku with factorial
I understand that a!/4 means that de product of the cells must be in a range specified by a!/4 with a being an element of N.
This product can be 6 or 30.
b!/6 can only be 20.
Is that right?
Then only 1 solution is left, indeed.


Profile

Posted on: Sat Jan 04, 2014 11:29 pm




Posts: 57
Joined: Sun Feb 03, 2013 3:25 am
Post Re: Calcudoku with factorial
nicow wrote:
I understand that a!/4 means that de product of the cells must be in a range specified by a!/4 with a being an element of N.
This product can be 6 or 30.
b!/6 can only be 20.
Is that right?
Then only 1 solution is left, indeed.

Hi, nicow.
And what about 4 (= 4! / 6) – with combinations 1 × 4 × 1 or 2 × 1 × 2? [wink]


Profile
Display posts from previous:  Sort by  
Reply to topic   [ 5 posts ] 

You cannot post new topics in this forum
You cannot reply to topics in this forum
You cannot edit your posts in this forum
You cannot delete your posts in this forum

Search for:
Jump to:  
All forum contents © Patrick Min, and by the post authors.

Forum software phpBB © 2000, 2002, 2005, 2007 phpBB Group.
Designed by STSoftware.