Find the least number of comparisons to sort elements

Assignment Help Mathematics

Reference no: EM131177216

Find the least number of comparisons needed to sort five elements and devise an algorithm that sorts these elements using this number of comparisons.

The tournament sort is a sorting algorithm that works by building an ordered binary tree. We represent the elements to be sorted by vertices that will become the leaves. We build up the tree one level at a time as we would construct the tree representing the winners of matches in a tournament. Working left to right, we compare pairs of consecutive elements, adding a parent vertex labeled with the larger of the two elements under comparison. We make similar comparisons between labels of vertices at each level until we reach the root of the tree that is labeled with the largest element. The tree constructed by the tournament sort of 22, 8, 14, 17, 3, 9, 27, 11 is illustrated in part

(a) of the figure. Once the largest element has been determined, the leaf with this label is relabeled by -∞, which is defined to be less than every element. The labels of all vertices on the path from this vertex up to the root of the tree are recalculated, as shown in part

(b) of the figure. This produces the second largest element. This process continues until the entire list has been sorted.

Reference no: EM131177216

Questions Cloud

Explain the social cost of monopoly power : The CEO of the company claims that because all of the profits will be given back to the citizens, it makes economic sense to charge a monopoly price for electricity. Explain the social cost of monopoly power.

How many weighings of a balance scale : How many weighings of a balance scale are needed to find a counterfeit coin among eight coins if the counterfeit coin is either heavier or lighter than the others? Describe an algorithm to find the counterfeit coin using this number of weighings.

Solved in complex number form : Analyze the following three circuits and solved in complex number form, with work shown to help me understand what is going on.

Discuss how hr strategies in general can act as drivers : Based on the theories, frameworks, and/or best practices of strategic HRM. Discuss how HR strategies in general can act as drivers for organizational strategies, rather than the opposite.

Find the least number of comparisons to sort elements : Once the largest element has been determined, the leaf with this label is relabeled by -∞, which is defined to be less than every element.

What theories or framework of strategic hrm might be applied : What theories and/or frameworks of strategic HRM might be applied to the scenario for an HR professional to be successful in implementing the scenario on a practical level? Be specific and provide examples.

Identify the stakeholders within your selected organization : Identify the stakeholders within your selected organization, Select whose support would be needed. Explain why their buy-in would be necessary.

Find the payoff to the first player : Suppose that we vary the payoff to the winning player in the game of nim so that the payoff is n dollars when n is the number of legal moves made before a terminal position is reached.

Existence of economies of scale and diseconomies of scale : 1. Why is the production function best captured by a non-linear graph? 2. Explain the existence of economies of scale and diseconomies of scale.

User Account

All Pages