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Problem #10

Number Spiral Diagonals

Starting with the number 1 and moving to the right in a clockwise direction a 5 x 5 spiral is formed as follows:

21 22 23 24 25
20 07 08 09 10
19 06 01 02 11
18 05 04 03 12
17 16 15 14 13

It can be verified that the sum of the numbers on the diagonals is 101.

What is the sum of numbers on the diagonals in a 10001 x 10001 spiral formed in the same way?

Contributed by Abhishek Das

Solved by 806 users

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