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Calcudoku with factorial
http://www.calcudoku.org/forum/viewtopic.php?f=16&t=521
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Author:  kozibrada  [ Fri Dec 27, 2013 10:47 am ]
Post subject:  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]

Author:  clm  [ Fri Dec 27, 2013 11:14 pm ]
Post subject:  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.

Author:  kozibrada  [ Sat Dec 28, 2013 12:45 am ]
Post subject:  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…

Author:  nicow  [ Fri Jan 03, 2014 2:39 pm ]
Post subject:  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.

Author:  kozibrada  [ Sat Jan 04, 2014 11:29 pm ]
Post subject:  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]

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