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Pumpkins 7 (Posted on 2016-02-05) Difficulty: 4 of 5
Seven pumpkins are placed in a circle. The seven pairs formed by adjacent pairs of pumpkins are weighed, much like in prior pumpkin puzzles. The weights recorded, sorted in ascending order, are 126, 149, 152, 160, 162, 182, and 191 pounds.

The same seven pumpkins (still in the same order) are weighted in pairs again, this time taking pairs separated by one pumpkin. (If A, B, and C are consecutive pumpkins in the circle then A+C is weighed.) The weights recorded, sorted in ascending order, are 125, 138, 163, 169, 170, 173, and 184 pounds.

From these two sets of weights determine the weights of the seven pumpkins and the order they were placed in the circle.

See The Solution Submitted by Brian Smith    
Rating: 4.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionAnalytical solution (spoiler)Steve Herman2016-02-06 10:38:02
Solutioncomputer solutionCharlie2016-02-05 15:41:05
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