100 Consecutive Numbers

We take 100 100 consecutive natural numbers a 1 a_{1} , a 2 a_{2} , ..., a 100 a_{100} . Determine the last two digits of the number a 1 8 + a 2 8 + . . . + a 100 8 a_{1}^{8}+a_{2}^{8}+...+a_{100}^{8} .


The answer is 30.

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