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The document is a cover sheet for a 'Merge Sort' programming assignment for CS 301, due on February 9, 2012. It outlines the requirements for writing a program that sorts data based on an ID field using the Merge Sort algorithm, including error handling, output specifications, and performance metrics. The assignment also includes tasks such as generating different-sized data files and conducting a code review with a teaching assistant.

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What is the time complexity of 3 way merge sort?

Time Complexity: O(n log₃ n), because the array is divided into three parts at each level, and merging takes O(n) time per level, leading to a recurrence of T(n) = 3T(n/3) + O(n). Auxiliary Space: O(n) due to the use of temporary arrays for storing the three subarrays during merging.

Why is merge sort complexity O nlogn?

In Merge Sort, the best, average, and worst-case time complexities are all O(n log n). This consistency is due to the algorithm always dividing the array into two halves and merging them, regardless of the initial order of elements.

How do you combine two sorting algorithms?

A merge sort uses a technique called divide and conquer. The list is repeatedly divided into two until all the elements are separated individually. Pairs of elements are then compared, placed into order and combined. The process is then repeated until the list is recompiled as a whole.

How do you combine two sorted linked list algorithms?

Algorithm Set temp to point to the head2. next node. Update head2. next to the current res node. Update res to point to head2. Move head2 to the node stored in temp. After completing the loop, return the res node, representing the merged linked list.

What is the formula for merge sort algorithm?

If the running time (number of comparisons) of merge sort for a list of length n is T(n), then the recurrence relation T(n) = 2T(n/2) + n follows from the definition of the algorithm (apply the algorithm to two lists of half the size of the original list, and add the n steps taken to merge the resulting two lists).

How do you join two sorted arrays together?

The idea is to use Merge function of Merge sort. Create an array arr3[] of size n1 + n2. Simultaneously traverse arr1[] and arr2[]. Pick smaller of current elements in arr1[] and arr2[], copy this smaller element to next position in arr3[] and move ahead in arr3[] and the array whose element is picked.

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What is the time complexity of 3 way merge sort?

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How do you combine two sorted linked list algorithms?

What is the formula for merge sort algorithm?

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What is the time complexity of 3 way merge sort?

Why is merge sort complexity O nlogn?

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How do you combine two sorted linked list algorithms?

What is the formula for merge sort algorithm?

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