What characterizes merge sort?

What characterizes merge sort?

• A. It uses a single pass to sort elements in the array
• B. It is a divide-and-conquer algorithm that merges sorted halves
• C. It sorts data in place with constant space complexity
• D. It operates on linked lists only

Answer: (B)

Merge sort is characterized as a divide-and-conquer algorithm that sorts an array by recursively dividing it into smaller sub-arrays, sorting those sub-arrays, and then merging them back together in sorted order. The process begins by dividing the original array into two halves until each sub-array contains a single element, which is trivially sorted. Then, these sorted halves are merged in a way that maintains the order, efficiently reconstructing the overall sorted array. This method is effective because merging two sorted arrays can be done in linear time relative to the total number of elements being merged. This results in a time complexity of O(n log n) for the entire sorting process, where n is the number of elements in the array. The systematic division and merging provide a clear pathway to achieving a sorted array, which is the essence of the merge sort algorithm. The other options describe characteristics that do not align with the defining principles of merge sort.

Merge sort is characterized as a divide-and-conquer algorithm that sorts an array by recursively dividing it into smaller sub-arrays, sorting those sub-arrays, and then merging them back together in sorted order. The process begins by dividing the original array into two halves until each sub-array contains a single element, which is trivially sorted. Then, these sorted halves are merged in a way that maintains the order, efficiently reconstructing the overall sorted array.

This method is effective because merging two sorted arrays can be done in linear time relative to the total number of elements being merged. This results in a time complexity of O(n log n) for the entire sorting process, where n is the number of elements in the array. The systematic division and merging provide a clear pathway to achieving a sorted array, which is the essence of the merge sort algorithm.

The other options describe characteristics that do not align with the defining principles of merge sort.