These facts have been established at a crime scene.
(i) If Professor Plum is not guilty, then the crime took place in the kitchen.
(ii) If the crime took place at midnight, Professor Plum is guilty.
(iii) Miss Scarlet is innocent if and only if the weapon was not the candlestick.
(iv) Either the weapon was the candlestick or the crime took place in the library.
(v) Either Miss Scarlet or Professor Plum is guilty.
Use the above and the additional fact(s) below to solve the case. Explain your answer.
(a) The crime lab determines that the crime took place in the library.
(b) The crime lab determines that the crime did not take place in the library.
(c) The crime lab determines that the crime was committed at noon with the revolver.
(d) The crime took place at midnight in the conservatory. (Give a complete answer.)
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