Calcudoku puzzle forumhttps://www.calcudoku.org/forum/ Calcudoku with factorialhttps://www.calcudoku.org/forum/viewtopic.php?f=16&t=521 Page 1 of 1

 Author: kozibrada  [ Fri Dec 27, 2013 10:47 am ] Post subject: Calcudoku with factorial In the beginning, I’m sorry for my bad English. 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.Good luck for solving…

 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… 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. 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?

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