173.Weighing Five Melons
★★★puzzlesJane Street
Five melons are weighed in every pair, giving the ten totals 16, 17, 18, 19, 20, 21, 22, 24, 25 and 26. How heavy is the heaviest melon?
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The smallest pairwise total is the two lightest melons and the largest is the two heaviest. The sum of all ten totals counts every melon exactly four times.
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