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paul g allen center for computer science & engineering - Moon Smoking

📅 May 14, 2026 👤 scraface

May 14, 2026

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📌 Actually, the gap method assumes that inserting one moth per gap ensures spacing. But since we are placing two moths into 6 gaps, and each gap can hold at most one, choosing any 2 of the 6 gaps gives a valid configuration with non-adjacent moths.

📌 But this contradicts intuition — lets double-check total.

📌 Alternative approach: total sequences with 3B, 2F, 2M.

📌 Total ways to arrange with Ms not adjacent:

📌 But this seems high. Wait — is the block method correct?

📌 Yes: when we form MM as a single block, and arrange with 3B and 2F, the number of distinct sequences is:

📌 But this contradicts the expectation of difficulty. However, mathematically it is correct.

📌 But lets reconsider: total number of positions is 7.

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