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 Dividing by a larger number 
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Posted on: Fri Aug 02, 2013 6:40 am




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Joined: Mon Jul 29, 2013 3:05 am
Post Dividing by a larger number
Hello all I'm new to this site, just started a week ago. Love the simplistic website layout [thumbup]

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


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Posted on: Fri Aug 02, 2013 7:03 am




Posts: 98
Joined: Fri May 13, 2011 12:48 am
Post 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.


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Posted on: Fri Aug 02, 2013 7:22 am




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Joined: Mon Jul 29, 2013 3:05 am
Post 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.


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Posted on: Fri Aug 02, 2013 7:50 am




Posts: 98
Joined: Fri May 13, 2011 12:48 am
Post Re: Dividing by a larger number
The operations work as if there are no groupings(parenthesis)


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Posted on: Fri Aug 02, 2013 8:32 am




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Joined: Fri May 13, 2011 6:51 pm
Post 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 división 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]).


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Posted on: Fri Aug 02, 2013 2:16 pm




Posts: 218
Joined: Fri Jun 17, 2011 8:15 pm
Post 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.


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Posted on: Fri Aug 02, 2013 7:38 pm




Posts: 10
Joined: Mon Jul 29, 2013 3:05 am
Post 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.


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Posted on: Fri Aug 02, 2013 9:55 pm




Posts: 490
Location: Ladysmith, BC, Canada
Joined: Fri May 13, 2011 1:37 am
Post Re: Dividing by a larger number
I think the site deals with only whole numbers (ie: not numbers with decimals)


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Posted on: Wed Aug 07, 2013 7:03 pm




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Joined: Thu May 12, 2011 11:58 pm
Post 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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