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3

Part of 2008 Turkey Junior National Olympiad

Problems(1)

Turkey Junior Olympiad 2008, Part II - P3

Source:

1/20/2013
There are 2424 cups on a table. In the beginning, only three of them placed upside-down. At each step, we are turning four cups. Can we turn all the cups right-side up in at most 100100 steps?