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Problem #31 MEDIUM

The Desert Stockpile

Amazon Google Math Estimation

Problem Statement

An explorer needs to cross a desert that is exactly 1,000 miles wide. She can carry at most 1,000 units of food at a time and consumes exactly 1 unit per mile traveled in any direction. She starts at the western edge with a stockpile of 3,000 units. Food can be cached anywhere in the desert and retrieved later. What is the maximum number of food units she can deliver to the eastern edge?

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