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32 lines
766 B
Python
32 lines
766 B
Python
"""What is the sum of both diagonals in a 1001 by 1001 spiral?
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Starting with the number 1 and moving to the right in a clockwise direction a 5 by 5 spiral is formed as follows:
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[21]22 23 24[25]
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20 [7] 8 [9]10
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19 6 [1] 2 11
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18 [5] 4 [3]12
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[17]16 15 14[13]
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It can be verified that the sum of the numbers on the diagonals is 101.
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What is the sum of the numbers on the diagonals in a 1001 by 1001 spiral formed in the same way?
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"""
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def main():
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n = 1
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total = 1
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size = 1
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MAX_SIZE = 1001
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while size <= MAX_SIZE:
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for i in range(4):
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n = n + (size - 1)
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if n > 1:
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total = total + n
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size = size + 2
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print 'Total:', total
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if __name__ == '__main__':
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main()
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