A maths competition question.

Let [x] denote the greatest integer not exceeding x. For example, [1.1] = 1, [6.9] = 6 and [5] = 5.

If [0.1n pi ] = [0.1 pi (n −1)] where n is a positive integer not exceeding 100, how many different possible values of n are there?

p.s. pi=3.1415...

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