Find the value of expression

MATHEMATICS · Subjective · AoPS · Mathematics · Special Functions · Special Functions

Problem

Find the value of expression [1835]+[18(2)35]+[18(3)35]+⋯+[18(33)35]+[18(34)35]\left[ \frac{18}{35} \right] + \left[ \frac{18(2)}{35} \right] + \left[ \frac{18(3)}{35} \right] + \dots + \left[ \frac{18(33)}{35} \right] + \left[ \frac{18(34)}{35} \right] . { [y] denotes the greatest integer function less than or equal to y. }

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