'Oddy Squary' Sum!

Algebra Level 4

Given that

S=12+32+52++9992S = 1^2 + 3^2 + 5^2 + \ldots + 999^2

Find the value of S333\dfrac{S}{333}.

Details and Assumptions

  • You are allowed to use a calculator.

  • This problem is part of this set.

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