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Home » Thus, there are 560 distinct validation packets possible. - Feedz API

Thus, there are 560 distinct validation packets possible. - Feedz API

📅 May 16, 2026 👤 scraface

May 16, 2026

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📌 $BD^2 = x^2 + (y - 1)^2 + z^2 = 2$

📌 $CD^2 = x^2 + y^2 + (z - 1)^2 = 2$

📌 Subtracting equation (1) from (2):

📌 [x^2 + (y - 1)^2 + z^2] - [(x - 1)^2 + y^2 + z^2] = 0

📌 x^2 + y^2 - 2y + 1 + z^2 - (x^2 - 2x + 1 + y^2 + z^2) = 0

📌 -2y + 2x = 0 \quad \Rightarrow \quad x = y

📌 Similarly, subtract (1) from (3):

📌 [x^2 + y^2 + (z - 1)^2] - [(x - 1)^2 + y^2 + z^2] = 0

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