Flipping Coins

Probability Level 5

Your math professor shows you 100 coins placed on his desk with their heads up.

He says to you, "Each time, you choose exactly 93 coins and flip them, turning heads to tails or vice versa."

What is the least number of times that you need to do this in order to get all 100 coins tails up?

Image credit: Wikipedia KamTANGO

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