4. Consider the complexity for generalized arc consistency beyond the binary case considered in the text. Suppose

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4. Consider the complexity for generalized arc consistency beyond the binary case considered in the text. Suppose there are n variables, c constraints, where each constraint involves k variables, and the domain of each variable is of size

d. How many arcs are there? What is the worst-case cost of checking one arc as a function of

c, k and d? How many times must an arc be checked?

Based on this, what is the time complexity of GAC as a function of

c, k and d? What is the space complexity?

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