where a,b,c.., ...h are 8 distinct positive integers, all below 25 and all fractions are proper fractions,
find the highest and the lowest
values of P
Rem: P&P solution preferred.
For largest, we want both parentheses to be large and the fractions to be as close to 1 as possible:
For smallest, we want one parenthesis to be as small as possible and all fractions as small as possible:
I only tried a few things, so a more exhaustive search may find an idea I missed.
The 25 limit seems artificial. If my solutions are optimal, they can probably be generalized.
**Edited to replace a missing digit and fix another minor typo.
Edited on September 23, 2014, 9:19 am
Posted by Jer
on 2014-09-22 09:15:13