The per-chunk local computation part I got fine, min price, max price, best profit within the chunk.
Explain that the single buy/sell stock profit problem can be parallelized by dividing the array into K contiguous chunks, computing local min price, max profit, and max price for each chunk, then merging these summaries sequentially to account for cross-chunk transactions. Emphasize that the merge step must consider the minimum price from earlier chunks and the maximum price from later chunks to capture the best buy-sell pair across boundaries.
Pro tip: Mention that the merge step can be done in O(K) time and that the overall parallel algorithm achieves O(N/K + K) time with O(K) extra space, which is efficient for massive arrays. Also, note that if K is chosen as sqrt(N), the total work is minimized.
Split the prices array into K roughly equal-sized contiguous segments, ensuring each chunk is processed independently.
For each chunk, compute three values: the minimum price, the maximum profit (max difference where buy before sell within the chunk), and the maximum price.
Iterate through chunks in order, maintaining the global minimum price seen so far and updating the global maximum profit by considering the profit from buying at the global minimum and selling at the current chunk's maximum price, as well as the chunk's local max profit.
After processing all chunks, the global maximum profit is the answer, correctly accounting for both intra-chunk and cross-chunk transactions.
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