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Home » Don’t Get It Wrong: The Ultimate How-To Write Condolence Message Guide You Need Now - Upplift

Don’t Get It Wrong: The Ultimate How-To Write Condolence Message Guide You Need Now - Upplift

📅 February 28, 2026 👤 scraface

Feb 28, 2026

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📌 > 32768, < 65536 → so 16 splits to reach ≤1? But we want exactly 1.

📌 However, 64000 is not a power of 2, so we cannot reach exactly 1 via repeated halving in integer division unless we allow floating.

📌 But in practice, we split until each group is 1 — so must go until size 1. So:

📌 Start: 64000

📌 After 1 split: 32000

📌 After n splits: 64000 / 2ⁿ = 1 → 2ⁿ = 64000 → n = log₂(64000) = log₂(64 × 1000) = 6 + log₂(10³) = 6 + 3×log₂(10) ≈ 6 + 3×3.3219 = 6 + 9.9657 = 15.9657 → not integer.

📌 But in discrete halving, we stop when size ≤1. But the question says "until each subset has 1 entry" — so we must reach exactly 1. But 64000 is not a power of 2, so impossibility.

📌 However, if the dataset is split recursively into two equal halves each time, only powers of 2 allow perfect halving to 1. Since 64000 is not a power of 2, the process never ends at 1. But the problem implies it stops.

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