Answer the following question based on the information given below.
There are three bottles of water, A, B, C, whose capacities are $5$ litres, $3$ litres, and $2$ litres respectively. For transferring water from one bottle to another and to drain out the bottles, there exists a piping system. The flow thorough these pipes is computer controlled. The computer that controls the flow through these pipes can be fed with three types of instructions, as explained below:
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Instruction Type
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Explanation of the Instruction
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FILL (X, Y)
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Fill bottle labelled X from the water in bottle labelled Y, where the remaining capacity of X is less than or equal to the amount of water in Y.
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EMPTY (X, Y)
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Empty out the water in bottle labelled X into bottle labelled Y, where the amount of water in X is less than or equal to remaining capacity of Y.
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DRAIN (X)
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Drain out all the water contained in bottle labelled X.DRAIN (X)
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Initially A is full with water; and B and C are empty.
After executing a sequence of three instructions, bottle A contains one litre of water. The first and the third of these instructions are shown below
- First instruction FILL (C, A)
- Third instruction FILL (C, A)
Then which of the following statements about the instructions is true?
- The second instruction is FILL (B, A)
- The second instruction is EMPTY (C, B)
- The second instruction transfers water from B to C
- The second instruction involves using the water in bottle A.