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A camel must carry 3000 bananas across a 1000-mile desert but can carry only 1000 and eats one per mile. What is the maximum bananas delivered?

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A camel has 3000 bananas to move across a 1000-mile desert, can carry a maximum of 1000 bananas at a time, and eats one banana for every mile it walks (loaded or not). What is the maximum number of bananas it can deliver to the other side?
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A camel has 3000 bananas to move across a 1000-mile desert, can carry a maximum of 1000 bananas at a time, and eats one banana for every mile it walks (loaded or not). What is the maximum number of bananas it can deliver to the other side?

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Answer

533 bananas, achieved through a careful multi-trip strategy of shuttling bananas forward in stages, dropping caches partway, and minimizing wasted trips, particularly by reducing the load before the final long stretch.

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