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Cell Entry Expansion (Posted on 2015-05-30) Difficulty: 3 of 5
Each of the 25 cells in a 5x5 board is zero. Consider any arbitrary cell and increase by 1 the number in this cell and all cells having a common side with it.

Is it possible to obtain the number 2012 in all cells simultaneously?
If so, give an example.
If not, prove it.

  Submitted by K Sengupta    
Rating: 4.0000 (1 votes)
Solution: (Hide)
No. It is not possible for N=2012.

For an explanation, refer to the solution submitted by Steve Herman in this location.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionAnalytical solutionSteve Herman2015-05-30 19:20:15
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