Trinhcent
professional silly goose
(yes I am replying to myself)
I think for this question I remember recognising that the liquids were poured in order starting from A. Also, I believe A either had the highest or lowest density and as you went down the column it (increased/decreased). I.e the list was sorted in order of density. From this I somehow recognised that any new liquid poured would sit either above or below the next one poured ( I can't remember if the density was decreasing down a column or increasing but I did use this for my answer) and thus if the consequent liquid did NOT mix any other liquid poured on top of that would effectively be shielded from mixing with the one below the liquid that did not mix with the bottom one. This probably doesn't make sense but ill explain it with an example. Take liquids A B C
A - P=3, Density = 0.5
B - P=7, Density = 0.34
C - P=4, Density = 0.2
Now if we poured from A B C in order, We know that A would sit at the bottom as it has the highest density. When we pour B it will NOT mix with A but sit above it. Next we pour C. If we had simply mixed A and C they would have mixed, however, since C is less dense than B, B will effectively shield C from mixing with A at the bottom (I remember the question mixing there was no turbulent mixing or something).
Thus, despite having two liquids that do mix together, we would still have three layers.
I believe this is the logic I used when answering the question about maximum possible layers.
Anyone else use this?
yea density and the order liquids were mixed in had to be taken into consideration