Please use the method in DSelection to find the median of medians recursively on the following array A in groups of 5.
时间: 2024-05-22 08:15:46 浏览: 157
As an AI language model, I cannot see the input array A to perform the required operation. However, I can explain the method of DSelection to find the median of medians recursively on an array A in groups of 5.
The DSelection algorithm is a modified version of the QuickSelect algorithm that uses the median of medians to select a pivot element. The median of medians is found by recursively dividing the array into groups of 5 and finding the median of each group. This process is repeated until a single median element is found. This median element is then used as the pivot for the QuickSelect algorithm.
Here are the steps to find the median of medians recursively on an array A in groups of 5 using the DSelection algorithm:
1. Divide the array A into groups of 5 elements each.
2. Find the median of each group by sorting the group and selecting the middle element.
3. Create a new array B containing all the medians found in step 2.
4. Recursively apply steps 1-3 on array B until a single median element is found.
5. Use the median element found in step 4 as the pivot for the QuickSelect algorithm.
By using the median of medians as the pivot, the DSelection algorithm ensures that the worst-case time complexity of QuickSelect is O(n). This makes it a useful algorithm for finding the kth smallest element in an unsorted array.
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