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Three interlocking circles create seven distinct regions and divide the
three circles into 12 segments (labels A-L on the figure).
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Find A-L as distinct positive integers such that each of the seven
regions has the same sum (when adding the three values surrounding each
region.) Try to find the numbers such that the maximum of (A..L) is as
small as possible.
- Repeat the previous problem with the added constraint that the sum
around each of the three circles should also be the same (different than
that of the seven regions, of course.)
If possible, for comparison purposes, please submit your diagrams or
solutions such that A is
your maximum value, and B is your minimum value for that A.
(You should be able to reassign numbers in your solution to do this.)
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