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# -*- coding: utf-8 -*-
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"""
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Created on Tue Apr 17 13:59:12 2012
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@author: pab
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"""
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import numpy as np
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def magic(n):
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ix = np.arange(n) + 1
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J, I = np.meshgrid(ix, ix)
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A = np.mod(I + J - (n + 3) / 2, n)
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B = np.mod(I + 2 * J - 2, n)
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M = n * A + B + 1
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return M
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