# Enjoy the sequence!

$\large \sqrt{a_{2}+a_{3}+\cdots+a_{99}}-\sqrt{a_{1}+a_{100}}$

Let $$a_{1},a_{2},a_{3},\ldots,a_{100}$$ is an sequence of consecutive positive integers.

Find the minimum integer value of the expression above. of \ which is an integer.

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