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The 3 scenarios below are frequent patterns (itemsets) with constraints: (anti-monotone, monotone, succinct, convertible, state the characteristics of each constraint and briefly explain how to mine such patterns efficiently: scenario a. the price difference between the most expensive item and the cheapest one in each pattern must be less than or equal to $90. scenario b. the average price of all the items in each pattern is less than $20. scenario c. the sum of the price of all the items (in each pattern) is between $100 and $200.

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