Design a data structure that stores integers in first in fi
Design a data structure that stores integers in first in first out… Design a data structure that stores integers in first in first out manner. It supports the operations of adding elements from one end, deleting elements from other and finds minimum element, each in O(1) amortized time. In other words, any sequence of m operations should take time O(m). You may assume that, in any execution, all the items that get added to this data structure are distinct. (a)Describe your data structure. Hint: you may use two data structure for maintaining different properties. (b)Describe in words or in pseudo-code, all three operations. (c) Analyze the time complexity including both the worst-case cost for each operation, and the amortized cost of any sequence of ? operations. For amortized complexity, use potential method and aggregate method. Explain your answer in detail. You should define your function ?(h) showing that is satisfies the requirements of a potential function and then calculate the amortized cost for append when an expansion does not occur and when it does occur (as we did in class).Engineering & Technology Computer Science COMP 503
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