采用堆排序,手工进行排序(5,8,2,4,1,9,3,6,7},并写出排序过程
时间: 2023-05-20 21:04:50 浏览: 46
Sure, I can help you with that! Here's the step-by-step process of sorting the given list {5, 8, 2, 4, 1, 9, 3, 6, 7} using heap sort:
1. Build a max heap from the given list.
- Starting from the middle of the list, compare the parent node with its children and swap them if necessary to maintain the max heap property (i.e., parent node is greater than its children).
- Move towards the beginning of the list until the root node is reached.
2. Extract the maximum element (i.e., root node) from the heap and place it at the end of the list.
3. Rebuild the max heap from the remaining elements.
- Starting from the root node, compare it with its children and swap them if necessary to maintain the max heap property.
- Repeat this process until the end of the list is reached.
4. Repeat steps 2 and 3 until the entire list is sorted.
Here's the sorted list after each iteration:
Iteration 1: {9, 8, 3, 6, 7, 2, 1, 5, 4}
Iteration 2: {8, 7, 3, 6, 4, 2, 1, 5, 9}
Iteration 3: {7, 6, 3, 5, 4, 2, 1, 8, 9}
Iteration 4: {6, 5, 3, 1, 4, 2, 7, 8, 9}
Iteration 5: {5, 4, 3, 1, 2, 6, 7, 8, 9}
Iteration 6: {4, 2, 3, 1, 5, 6, 7, 8, 9}
Iteration 7: {3, 2, 1, 4, 5, 6, 7, 8, 9}
Iteration 8: {2, 1, 3, 4, 5, 6, 7, 8, 9}
Iteration 9: {1, 2, 3, 4, 5, 6, 7, 8, 9}
I hope that helps! Let me know if you have any other questions.