Cursor + RustCoder to Implement a Conversion Algorithm Between Any Bases (Passed on First Attempt)

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The problem is from the OpenAtom "Rust Data Structures and Algorithms Learning Challenge".

Task: Implement an algorithm that supports conversions between any bases from 2 to 16. Examples include converting binary to base-7, base-7 to hexadecimal, and base-15 to octal.

Example:
Input: 9(10), 8
(First parameter: the number 9 in decimal (string), second parameter: the target base 8 (integer))
Output: 11
(The result: 11 in octal (string))

RustCoder Endpoint: https://rustcoder.gaia.domains/

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