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49 Cups (Posted on 2024-05-25) Difficulty: 3 of 5
49 empty cups are arranged in a 7×7 square. Each cup can hold up to 50 marbles.

Every time you add marbles to a cup you must add the same number of marbles to the adjacent cups.
Similarly, every time you remove marbles from a cup you must remove the same number of marbles from the adjacent cups. The central cup has 4 neighbors.

What is the largest number of marbles you can have in the center cup when all of the other cups are empty?

See The Solution Submitted by K Sengupta    
Rating: 5.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re(2): Symmetric solutionBrian Smith2024-05-26 19:16:05
re: Symmetric solutionSteven Lord2024-05-26 03:50:21
SolutionSymmetric solutionBrian Smith2024-05-25 23:20:05
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