Give an example of a problem that can be solved using the divide and conquer algorithm approach.
One example of a problem that can be solved using the divide and conquer algorithm approach is the "Merge Sort" algorithm. Merge Sort is a sorting algorithm that follows the divide and conquer strategy to sort a given list.
The steps involved in Merge Sort are as follows:
1. Divide the unsorted list into n sublists, each containing one element.
2. Repeatedly merge sublists to produce new sorted sublists until there is only one sublist remaining.
In the Divide step, the problem of sorting a larger list is divided into subproblems of sorting smaller lists. This is done by recursively dividing the given list into two halves until the sublists contain only one element.
In the Conquer step, the sorted sublists are then merged together to form larger sorted sublists until the final sorted list is obtained. The merging process compares the elements in the sublists and places them in the correct order.
By continuously dividing and merging the subproblems, Merge Sort achieves a time complexity of O(n log n), making it an efficient sorting algorithm for large lists.
In summary, Merge Sort is a classic example where the divide and conquer approach is applied to sort a list of elements efficiently.
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