Find mode or minimum with time-space tradeoffs
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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.
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.
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