My first instinct was to just say iterate and add, which felt embarrassingly simple.
Start by clarifying the constraints: what 'very large' means (size, memory, distribution), whether the integers fit in memory, and if the data is static or streaming. Then propose a scalable solution, such as parallel processing with map-reduce or chunked summation, and discuss trade-offs like memory usage, speed, and accuracy (e.g., overflow, floating-point).
Pro tip: Demonstrate awareness of real-world constraints: mention that for truly massive data, you might use distributed frameworks like Apache Spark or Hadoop, but also consider simple optimizations like using 64-bit integers to avoid overflow and leveraging SIMD instructions for in-memory arrays.
Ask about the size of the collection, memory limits, data source (file, stream, distributed), and whether the sum must be exact or approximate. This shows you avoid assumptions.
If data fits in memory, discuss efficient summation using loops, built-in functions, or parallel reduction. Mention using 64-bit integers to prevent overflow.
If data doesn't fit in memory, propose chunking, external sorting, or distributed processing (e.g., MapReduce). Explain how to combine partial sums.
Compare approaches on speed, memory, complexity, and accuracy. For example, parallelization adds overhead but speeds up computation; streaming uses constant memory but may be slower.
Suggest optimizations like using SIMD, avoiding unnecessary data copies, and validating with test cases. Mention handling edge cases like empty input or integer overflow.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.