Question: Why does BIRCH encounter difficulties finding clusters of arbitrary shape, while OPTICS does not? Discuss the underlying algorithms and data structures that contribute to this

Why does BIRCH encounter difficulties finding clusters of arbitrary shape, while OPTICS does not? Discuss the underlying algorithms and data structures that contribute to this limitation in BIRCH. Propose modifications or enhancements to BIRCH that could help it find clusters of arbitrary shape. In your response, consider the trade-offs that might be involved in these modifications, such as computational complexity, memory usage, and accuracy. Provide examples to illustrate your points.

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