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 :
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 .
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