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A. $A \land - AMAZONAWS
A. $A \land - AMAZONAWS
📅 March 11, 2026
👤 scraface
Mar 11, 2026
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📌 and $ L $ is a multiple of 7 (since pipes are seven units long and total length is a sum of such pipes). However, note: the problem states the *total length of installed pipe* is one more than a multiple of 13âso $ L \equiv 1 \pmod{13} $, and $ L $ must be expressible as a sum of multiples of 7. But since individual pipes are 7 units, any valid total length must be a multiple of 7. So we seek the smallest two-digit number $ L $ such that:
📌 L \equiv 1 \pmod{13} \quad ext{and} \quad L \equiv 0 \pmod{7}
📌 Check: Is 14 $ \equiv 1 \pmod{13} $?
📌 \sqrt{1000} \approx 31.62 \Rightarrow p \leq 31
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