How is the v3 close price formula derived?

Other
1

https://dydxprotocol.github.io/v3-teacher/#liquidations

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2

Anyone has an idea on why it looks like this? How to understand this formula?

I’m able to understand this example but not the formula itself

3

Feel it should be:

Close Price (Short) = P × (1 + (M × V * (1 - M) / W))
Close Price (Long) = P × (1 − (M × V * (1 - M) / W))

instead, anyone has an idea?