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Trace behavior of the fully polynomial-time TSP approximation scheme Kleinberg & Tardos for zero-one knapsack instance where n=9, capacity is 60, and weight sequence (wi) and value sequence (vi) both equal (6,7,14,14,14,14,46,56,60), for both ε = 0.5 and ε = 0.25. Note that optimal solutions are one which includes only item of weight 60, and ones which include item of weight 46 and an item of weight 14.
For each value of ε, give items included and scaled and unscaled value of solution that algorithm finds. For tables, you only require to show those rows which correspond to values less than or equal to scaled value of this solution. Do show how you obtained included items from each table.
Why Knapsack Problem explained as 0/1 Knapsack Problem. Skecth Dynamic Programming Tables (one for calculating optimal value and one for keeping track of items used.
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.
Create a form that lists possible potatoes and toppings in a manner that is easy for counter servers and kitchen crew to scan, and can also be used as input for the inventory reorder system.
At time 230 five processes (P1 - P5) are waiting for timeout signal. They are scheduled to wake up at times: 260, 320, 360, 430, 450. Using priority queue with time differences illustrate queue and content of countdown timer at time 230.
Classical Towers of Hanoi problem starts with a stack of n > = 1disks on one of three pegs. Solving problem needs moving stack from peg A to peg B in such a way which only one disc is moved at time and no disc can be placed on top of a disc smalle..
How many elementary operations are used in algorithm given below? The elementary operations are comparison operations (such as > and
Evaluate the average complexity of an enqueue operation. Determine the average complexity of the dequeue (remove) operation.
Write down algorithm, using pseudocode, to perform the following task, Given a string of numbers, recognize all of the substrings that form numbers that are divisible by 3.
Suppose that it doesn't take any time to allot work to process, calculate best- and worst-case speedup for centralized scheme for dynamic mapping with two processes.
Given a black-box worst-case linear-time algorithm for ?nding median, create algorithm solving the selection problem for an arbitrary order statistic.
Purchaser's perceptions of a item and its value are an important influence on pricing. Value consciousness, price consciousness, and prestige sensitivity are three ways of explaining these perceptions.
Discuss different types of classifications and do they overlap, or do they each tell us something unique about the entity relationship?
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