Australian Mathematics Competition 2015 Q30

Algebra Level 4

In a stack of logs, each row has exactly one fewer log than the row below. With 9 logs, the tallest possible stack is 4 logs at the bottom, 3 logs in the second row and 2 logs on the top row, making a total of 3 rows. With 2015 logs, how many rows are there in the tallest possible stack?

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