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Dividing by a larger number https://www.calcudoku.org/forum/viewtopic.php?f=2&t=468 |
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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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