The mixing vat in a factory receives liquid ingredients through six separate valves-labeled R, S, T, U, Y and Z each of which has exactly two settings: Open and closed. The mixing vat operator must ensure that each valve is set open or closed according to the following conditions:
i. If T is open, both S and Z must be closed;
ii. R and Z cannot both be closed at the same time.
iii. If Y is closed, Z must also be closed;
iv. S and U cannot both be pen at the same time.
or
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