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Holes in a magic square (Posted on 2008-07-26) Difficulty: 2 of 5
We know that using the numbers from 1 to 25 (once each), we can build a magic square of order 5, being 65 the magic constant.

Your task is to build a magic square of order 5, using only the numbers from 1 to 20 (once each), leaving one cell empty in each row, in each column, in each main diagonal.

Obviously, the magic constant will be [(1 + 20)/2]*20/5 = 42.

Note: This type of magic square has a name.

  Submitted by pcbouhid    
Rating: 3.0000 (1 votes)
Solution: (Hide)
These kind of "magic squares" are called "sparse magic squares", studied by Mr. Toshio Kobayashi.

See an extense material in the link:

http://mathforum.org/te/exchange/hosted/suzuki/MagicSq.kobayashi.sparse.html

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re(2): No Subjectbrianjn2008-07-30 04:03:35
re: No SubjectDej Mar2008-07-30 03:08:55
No Subjectbrianjn2008-07-29 22:25:13
Another observationDej Mar2008-07-28 23:00:28
re: Another observation ----- nopcbouhid2008-07-28 09:43:22
Another observationbrianjn2008-07-28 00:24:20
SolutionOne waybrianjn2008-07-27 21:41:13
Wrap didn't workbrianjn2008-07-26 21:18:41
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