by **udosuk** » Sat Jan 21, 2006 5:10 pm

About afjt's comment regarding "the crux", a bit of yes and no...

The "no" part is that it should not be counted as "pencilling in" when you determine 1,2,4 must be inside the 7-cage. So, first you collect all the cage sums and sum them together. In the process you must have come across this sum of 7 and a bit of logical thinking will make you sure that 1,2,4 must be there. I wouldn't say that constitutes "starting solving the puzzle".

The "yes" part is that the aforementioned argument must be based on 1 assumption: ONLY POSITIVE INTEGERS are used... But of course the mighty creaters PaulIQ164 & bro didn't say anything specific, there were every possibilities that ZERO could be one of the entries, even NEGATIVE INTEGERS and heaven forbids, FRACTIONS... So it was not right for me to assume that 1,2,4 must be in the 7-cage. Of course if you do it the proper way by first working out the 7 innies/outies and then focus on nonet-2 you will quite easily determine all 9 entries and it would become obvious that the 7-cage is indeed {124}...

BTW I'm posting the link to djape's blog cause I think it is a sin to not letting "the other side of the killer community" know about this marvellous puzzle... The original creators will be properly credited of course!