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secret of the spring diablo 4 - Decision Point

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 2A zoologist in the Amazon observes that a troop of spider monkeys splits into groups where each group size follows the Fibonacci sequence starting from 1, 1, 2, 3, 5, and so on. If the troop initially consists of 21 monkeys, what is the maximum number of equal-sized groups they can form such that each group contains a complete Fibonacci number of monkeys and no monkey is left out?

📌 We seek a subset of these values (from the sequence) that sum to 21, with each group size being a distinct Fibonacci number used at most once (because groups must be equal in size and we cant split monkeys).

📌 But Fibonacci decomposition with distinct terms: try again.

📌 Is there a combination with more than two groups using distinct Fibonacci numbers?

📌 Wait: only distinct Fibonacci numbers can be used per group size, and each group has same size.

📌 But can we use 5 + 3 + 2 + 1 + 1 + 1? No — invalid due to duplicates.

📌 Wait — what about 5 + 3 + 2 + 1 = 11 — too small.

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