1 The List Accessing Problem 1.1 Background Suppose we have a filing cabinet containing some files with (unsorted) IDs. We then receive a sequence of requests for certain files, given in the IDs of the files. Upon receiving a request of ID, say key, we have to locate the file by flipping through the files in the cabinet one by one. If we find key, it is called a hit and we remove the file from the cabinet. Suppose key is the i-th file in the cabinet, then we pay a cost of i, which is the number of comparisons required. If key is not in the cabinet, the cost is the number of files in the cabinet and we then go to a storage to locate the file. After using the file, we have to return the file back to the cabinet at the original location or we may take this chance to reorganise the file cabinet, e.g., by inserting the requested file to the front. As the file can only be accessed one after another, it is sensible to use the data structure linked list to represent the file cabinet.

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