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Holes in a magic square (Posted on 2008-07-26) |
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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.
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Submitted by pcbouhid
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Rating: 3.0000 (1 votes)
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Solution:
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(Hide)
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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
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