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Demonstrate insertion into a linear hash file. Assume that bucket splitting happens whenever the file load factor exceeds (is greater than) 0.8. The file load factor is defined as the ratio of inserted records r divided by the product of slots per bucket m (not counting overflow buckets) and number of buckets n (file load factor = r/(m*n)). Start with a hash file with n=2 buckets, and use the remainder function as hash function. Each bucket is supposed to have m=2 slots. Draw a new figure each time a bucket is split. Enter the following numbers 8, 9, 7, 5, 6, 4, 2.
Explain linear hashing using the example in a).
Suppose the cost of seek is 5milliseconds, while the disk transfer rate is 40 mgbytes per second. Find the cost of sorting the relation , in seconds, w/bb = 1 & w/ bb= 100.
Let the equation ax = b mod m, where x is unknown and a, b and m are given. Illustrate that this equation has either no solutions mod m, or d solutions mod m.
Design an algorithm based on BFS that either colors a graph with 2 colors or determines that two colors are not sufficient.
Running time of quicksort can be enhanced in practice by taking advantage of fast running time of insertion sort when its input is "nearly" sorted.
Design an algorithm to find the average miles per gallon. Sample data: 68723, 71289, 15.75, 16.30, 10.95, 20.65, 30.00.
Explain an O(m+n) algorithm which, given an initial infection of a computer Ca at time t determines for each other computer the earliest time at which it can become infected.
Analyze the given properties of BFS and DFS for Acyclic Tree without making any assumptions. Optimality, Completeness.
Then sort arrays so that records are in descending order by purchase amount for month. Output lists the names of the top five customers.
Design an O(n) algorithm that decides (schedules) for each node at which time slot to start sending data such that the total number of time (slots) is minimized.
Addition and Subtraction of numbers in binary and round to the nearest decimal number with three significant decimal digits
Create algorithm to calculate union of two input sets given as arrays, both of size O(n). The output must be array of distinct elements that form union of the sets.
Explain how to determine such a line in O(n lg n) time. Provide the O(n^2 lg n)-time algorithm to pair Ghostbusters with ghosts in such a way that no streams cross.
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