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Calcudoku with factorial https://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. 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 3cells 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 3cells 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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