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c) Given is a set of rules for detecting symptom of chickenpox. Apply forward chaining inference and backward chaining towards the given set of rules as below. General Rules: U1: IF patient has red rash AND viral infection THEN patient has chickenpox U2: IF patient temperature > 37.5 THEN patient has fever U3: IF patient felt sick more than three days AND patient has fever THEN suspect a viral infection Fact: D1: Patient temperature is 39 D2: Patient has been sick for 4 days D3: Patient has red rash i) Use the forward chaining inference for finding the conclusion. (5 marks) ii) Use the backward chaining inference for proving the goal Patient has chickenpox