Find mode or minimum with time-space tradeoffs

Q: Find mode or minimum with time-space tradeoffs

This question evaluates algorithm design and analysis skills—particularly time–space tradeoffs, frequency counting techniques (sorting, hashing, and counting arrays), and handling streaming or memory-constrained inputs in the Coding & Algorithms domain.

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Question

For an unsorted array of integers, implement two functions: (

return the minimum value; (
return the value that appears most frequently (the mode). For the mode, compare a sorting-based approach with a hash-map counting approach, and, if the value range is known and small, a counting-array approach. Discuss the time–space tradeoffs, how to reduce runtime by using more space, and how your choices change under streaming input or strict memory limits.

Find mode or minimum with time-space tradeoffs

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