Calcudoku puzzle forumhttps://www.calcudoku.org/forum/ Dividing by a larger numberhttps://www.calcudoku.org/forum/viewtopic.php?f=2&t=468 Page 1 of 1

 Author: main  [ Fri Aug 02, 2013 6:40 am ] Post subject: Dividing by a larger number Hello all I'm new to this site, just started a week ago. Love the simplistic website layout In puzzles that contain the division operator is it permissible to divide by the larger number ie. in a L-shape-3-cell to arrive at 8, 2/4=.5 then 4/.5=8

 Author: picklepep  [ Fri Aug 02, 2013 7:03 am ] Post subject: Re: Dividing by a larger number There is a button at the bottom of the puzzle that implements an auto-correct on the puzzle(continuous error check). If you are ever unsure of the rules this will help you.

 Author: main  [ Fri Aug 02, 2013 7:22 am ] Post subject: Re: Dividing by a larger number Yes, I'm aware of the auto-check feature. I just want some insight into the depth of logic to be used in a given circumstance. I wouldn't want to waste time by running through a bunch of invalid scenarios in the future.

 Author: picklepep  [ Fri Aug 02, 2013 7:50 am ] Post subject: Re: Dividing by a larger number The operations work as if there are no groupings(parenthesis)

 Author: clm  [ Fri Aug 02, 2013 8:32 am ] Post subject: Re: Dividing by a larger number main wrote:Yes, I'm aware of the auto-check feature. I just want some insight into the depth of logic to be used in a given circumstance. I wouldn't want to waste time by running through a bunch of invalid scenarios in the future. In a divisiĆ³n you must take the larger number and then divide it successively (no particular order) by the other numbers in the cage to arrive to the result shown, so "8:" in a 3-cell L-shape cage is only possible with [1,1,8] (up to the 15x15 puzzle of course since, i.e., in a 16x16 puzzle you would also have the combination [1,2,16]).

 Author: jaek  [ Fri Aug 02, 2013 2:16 pm ] Post subject: Re: Dividing by a larger number I'm not aware of an explicit rule requiring that intermediate results be integers, but I do think there is an implicit understanding that this is the case. If 4 "doesn't divide" 2 in a two-cell cage then 4 "doesn't divide" 2 in a three-cell cage either. And anecdotally, I've never seen a puzzle where this wasn't true.

 Author: main  [ Fri Aug 02, 2013 7:38 pm ] Post subject: Re: Dividing by a larger number Thanks for the help. 'clm' and 'jaek' both got to the heart of the matter. Jaek's explanation in particular is very insightful. That will help with further puzzle solving.

 Author: beaker  [ Fri Aug 02, 2013 9:55 pm ] Post subject: Re: Dividing by a larger number I think the site deals with only whole numbers (ie: not numbers with decimals)

 Author: pnm  [ Wed Aug 07, 2013 7:03 pm ] Post subject: Re: Dividing by a larger number picklepep wrote:The operations work as if there are no groupings(parenthesis)Yes, that's correct, there are no parentheses, only the operator.Also (by choice really) the clue is always a whole number.By necessity then the largest number will always come first.Patrick

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