2020 CIME II Problems/Problem 12
Revision as of 09:20, 19 January 2021 by Dark adonis (talk | contribs) (Putting in an actual solution)
Note that the and its iterations are all divisible by 180. This implies that 2 of
are divisible by 4, 2 are divisible by 9 and 2 are divisible by 5.
Next we note that iterations are 180,,
. This implies that
or
must have an additional factor of 2 and
or
must have an additional factor of 3. The sum is minimized if d=2 and e=3 and f=1.