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Mathematical problems in flop game
It is impossible to look up. Simply put, it is to turn odd cards, but only even cards can be turned, so it is impossible.

If you want mathematical proof, you can prove it like this:

Code the cards on the table. If the face of 1 card is up, record it as 1, and record it as 0 if the face is up. Add up the numbers of all the cards and record them as s,

Initially, 9 cards face up, S = 9.

It is required to change 9 cards face up, and then S = 0.

Every flop, there are three possibilities:

Two face-up cards become face-down, so S-2.

Two cards face down become face up, and then S+2.

1 face up, 1 face down, become 1 face down, 1 face up. At this point, s remains the same.

Therefore, the variation of S is a multiple of 2, which is set to 2k.

To change from the beginning to the end, there is 9+2k = 0.

So k=4.5 is not an integer, so it is impossible.