A certain type of ring has an outer diameter of 58 mm and an inner diameter of 40 mm and a thickness of 1 mm. If one stacks enough rings on top of each other, it is possible to stand another ring vertically on top of the pile in such a way that the ring doesn’t
touch the ground. What is the **minimum number of rings** you need to stack on top of each other so that the vertical ring just doesn’t touch the ground?

This was problem 9 on the South African Mathematics Olympiad (Junior Round 3 Paper 2012)

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