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Home » 36k \equiv 3 \pmod7 \Rightarrow k \equiv 3 \cdot 36^-1 \pmod7 - Dyverse

36k \equiv 3 \pmod7 \Rightarrow k \equiv 3 \cdot 36^-1 \pmod7 - Dyverse

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 \_ P \_ P \_ P \_ → 4 gaps

📌 We need to place 4 H’s into these 4 gaps, with **at most one H per gap** to prevent adjacency. But we have 4 H’s and only 4 gaps, so we must place exactly one H in each gap.

📌 There is only **one** way to choose positions: H in each gap → so the sequence is:

📌 H P H P H P H → i.e., H P H P H P H

📌 But wait — this places H in all 4 gaps, but total positions:

📌 Each gap holding one H gives:

📌 positions: H (1), P (2), H (3), P (4), H (5), P (6), H (7) → exactly 7 positions.

📌 So the structure is uniquely determined: H in positions 1,3,5,7 and P in 2,4,6.

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