KMO 2010 Problem 8

There are $2010$ people sitting around a round table. First, we give one person $x$ a candy. Next, we give candies to $1$ st person, $1+2$ th person, $1+2+3$ th person, $\cdots$ , and $1+2+\cdots + 2009$ th person clockwise from $x$ . Find the number of people who get at least one candy.