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Thus, \(g(f(3))\) is: - go-checkin.com

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Without rest days, number of active days = 324 ÷ 18 = 18

📌 Rest days occur every 5th day (i.e., after every 4 active days), so rest days = floor(18 / 4) = 4 (on days 5,10,15,20)

📌 But last rest day is before completing 18 days — check: days 1–4 active, day 5 rest → cycle of 5 days gives 4 km

📌 4 km per 5-day cycle → 324 ÷ 4 = 81 cycles → 81 × 5 = 405 days

📌 But 18 days active is more than needed → refine:

📌 Let total days = d, rest on day 5,10,15,... → number of rest days = floor((d) ÷ 5)

📌 Active days = d - floor(d/5) = 18

📌 Try d = 20 → rest days = 4 → active = 16 ❌

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