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Home » Solution: Let $x^2 \equiv 25 \pmod100$. - Aurero

Solution: Let $x^2 \equiv 25 \pmod100$. - Aurero

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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🔥 Popular Posts

We are assigning a mode (H or S) to each of 5 substations in a line, w...
Let’s first count the number of valid H/S assignments (ignoring positi...
But the "positions" are fixed and distinct, so we are counting binary...
This is a classic problem: number of binary strings of length \(n\) wi...
Standard recurrence:
Let \(a_n\) = number of such strings of length \(n\).
\(a_1 = 2\) (0, 1),
\(a_2 = 3\) (00, 01, 10, not 11)
Wait — earlier we used \(\binom{n-k+1}{k}\), but for \(n=5\):
List all valid strings (no "11"):

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