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This is simple, but also mysterious.
There is a legend that the magic square was written on the shell of turtle in 3000b.c. It shows that humans knew it from the far past. It was used as charms by fortunetellers in medieval Europe because of mystery. It was found in India and Egypt for a long time ago, too.
1 14 11 8
12 7 2 13
6 9 16 3
15 4 5 10
Here is a magic square of 4?4. There are 10 of equalities, but there are 880 solutions for a square of 4?4. You cannot feel interesting as you find one of them, so I want to introduce some special magic squares.
n1 n2 n3 n4 1 12 15 6
n5 n6 n7 n8 14 7 4 9
n9 n10 n11 n12 8 13 10 3
n13 n14 n15 n16 11 2 3 16
The square on the left side is a special magic square...
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