On the Clojure Data Structures guide, explain what makes vectors 'persistent' and how this characteristic affects the performance of adding elements using 'conj'. Specifically, what is the stated time complexity for 'conj' on vectors, and what is the practical implication of this for large vectors?
Navigate to 'clojure-doc.org/guides/data_structures'. Scroll down to the 'Vectors' section. Locate the subsection or discussion related to vector persistence and the performance of 'conj'. Identify the definition of 'persistent' in the context of Clojure vectors. Find the stated time complexity for 'conj' on vectors. Explain the practical implication of this time complexity for adding elements to large vectors. Synthesize the information to answer the task.
The agent successfully navigates to the 'Data Structures' page. The agent states that Clojure vectors are 'persistent' because operations like 'conj' return a new vector without modifying the original, allowing the original to remain unchanged. The agent identifies the time complexity of 'conj' on vectors as 'effectively constant time' or 'amortized constant time' (O(log32N) or O(logN)). The agent explains that for practical purposes, even with very large vectors, adding elements with 'conj' remains very fast due to the logarithmic time complexity, making it highly efficient for most use cases.