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Finite sequence - how many distinct terms?

Source: Balkan MO 1998, Problem 1

April 24, 2006
floor functionnumber theory proposednumber theory

Problem Statement

Consider the finite sequence ⌊k21998⌋\left\lfloor \frac{k^2}{1998} \right\rfloor, for k=1,2,…,1997k=1,2,\ldots, 1997. How many distinct terms are there in this sequence? Greece
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