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Your colleague has said they have discovered a way to get O(1) category performance for both insert and remove in a priority queue. Their description

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Your colleague has said they have discovered a way to get O(1) category performance for both insert and remove in a priority queue. Their description of the data structure and algorithms is as follows:

1) They use an array implementation for the priority queue

2) The index of the array represents the rank of an element - e.g. an element whose rank is 50 will be placed at index 49

3) Each element is the head node to a linked list - if a new element is inserted into the priority queue with the same rank as another element already in the queue, the new element is added to the linked list at its head

a. Example: If an element "X" with rank 25 exists at index 24, and a new element "Y" also has a rank of 25, the linked list at index 24 is "Y" then "X"

4) When remove is performed, the element at the highest index is removed. If there is more than one node at that index, the node at the head of the linked list there is removed

Based on this description of the data structure, you determine that their idea that this is O(1) for both insert and remove is incorrect. Explain your reasoning and be sure to at least include the following:

1) Describe at least 2 scenarios where the actual order is not O(1) for either insert and/or remove

2) State what the actual orders are for both in that worst case scenario

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Alldentify and explain the key financial, legal and regulatory influences which impact on financial statements produced and published by Hong Kong Public Limited Companies and Partnerships and Explain how the key legal and regulatory influences are relevant to the different users of financial statements.(PLZ GIVE THE REFERENCE, IF YOU TAKE THE INFORMATION FROM INTERNET IN RESPECT OF HONG KONG) B) Considering the annual accounts of sole traders, partnerships and public limited companies (plcs), identify for each of these any compulsory presentational format or publication requirement and discuss the main aspects of the regulatory framework which must be observed when reporting these accounts. PLZ WRITE IN DETAILNote 1, we assume 1K = 1000, IM = 1,090,000, 1G = 1,000,000,000, 1Byte = 8 bits Note 2, Is = 1,000 ms = 1,000,000us 1. (20 points) We are sending a MP3 file of 1,000,000 bits from a source host to a destination host. 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See the Excel sheet "Assignment 3 - Survey" given in in the "Written Assignment 3" folder on Sakai for the responses. 4. (Submit a screenshot of your written or typed answer.) A fitness trainer is interested in finding out the true mean number of days that MATH 1P98 students exercise in a week. The trainer claims that the mean number of days in a week that MATH 1P98 students exercise for more than 20 minutes is 3.5 days. Test this claim at the 0.05 level of significance. a. State the null and alternative hypotheses. Indicate the significance level. b. Identify the test statistic you will use. Are the requirements needed to use that test statistic satisfied? Explain. (Hint: How do you decide between using z or t? Check if the data follows a normal distribution and/or sample size.) c. Use Excel to obtain any sample statistics necessary to calculate the test statistic. (You do not need to submit the Excel sheet.) Then, calculate the test statistic by hand. Show your work. d. 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