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A showroom is open on all seven days of the week throughout the year. There are five employees Alex, Bhabha, Cathy, Dilip and Ethan who work in the showroom. Every day except Sunday, two employees are required while on Sunday three employees need to work. Every employee works for three days in a week. Some additional information is also provided:
• Every employee works on two consecutive days while the third day is not consecutive.
• Alex and Dilip work together on Tuesday and Wednesday while the other working day differs for them.
• Neither Bhabha nor Cathy works with Alex on any day.
• Cathy does not work either on Saturday or on Monday.
Which among the following employees do not work together on any of the days?
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