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To be initiated into a club, a recruit needs to solve a logical puzzle. Two members, Tom and Sue, introduce themselves. Tom says, I am

To be initiated into a club, a recruit needs to solve a logical puzzle. Two members, Tom and Sue, introduce themselves. Tom says, I am a CS major and Sue is an SE major. Sue says One of us is a CS major and the other is an SE major.You know that one of them is lying while the other is telling the truth. Who is lying and who is telling the truth? Who is the CS major and who is the SE major? Prove your answers using logical reasoning.

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