Problem 53905. Easy Sequences 64: Base-14 Arithmetic Function
For an integer n, the base-14 arithmetic function,
, is defined as follows:
- Convert n to base-14, using the letters '
' for digits
to
.
- Replace the letters '
' with the arithmetic operation symbols '
', respectively.
- Remove any leading or trailing operation symbols.
- For consecutive operation symbols between two numeric symbols, retain only the first operation and remove all others.
- Evaluate the resulting expression in base-10.
- Return the evaluated expression as
, rounded-off to the nearest integer.
- Finally, output
if
contains only "operation symbols", or if
, or if
, or if
.
For example if
:
Therefore:
Given a set positive integers N, find the integer x,
, such that
is minimized. If there are more than one integers, x in N that minimizes
, please output the largest of those x's.
For example for
:
Therefore,
is minimized when
, for
. Since we are asked to select the largest minimizer, our program output should be
.
Solution Stats
Problem Comments
-
1 Comment
GeeTwo
on 15 Sep 2023
What a silly problem.
With inadequate statistical tests for the big cases
that I discovered by accident.
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