C15 - Katrina K#24
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CheezItMan
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Jan 11, 2022
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Nice work Katrina, you hit the learning goals here. Well done.
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| def heap_sort(list): | ||
| """ This method uses a heap to sort an array. | ||
| Time Complexity: ? | ||
| Space Complexity: ? | ||
| """ |
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| def add(self, key, value = None): | ||
| """ This method adds a HeapNode instance to the heap | ||
| If value == None the new node's value should be set to key | ||
| Time Complexity: ? | ||
| Space Complexity: ? | ||
| Time Complexity: O(log n) | ||
| Space Complexity: O(1) *same space is added to the list every time but the behind the scenes buffer might be using more memory than this | ||
| """ |
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👍 The space complexity is also log n due to the recursive call stack as you note
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| def remove(self): | ||
| """ This method removes and returns an element from the heap | ||
| maintaining the heap structure | ||
| Time Complexity: ? | ||
| Space Complexity: ? | ||
| Time Complexity: O(log n) | ||
| Space Complexity: O(1) | ||
| """ |
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👍 The space complexity is also O(log n)
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| if len(self.store) < 1: | ||
| return True | ||
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| return False |
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Suggested change
| if len(self.store) < 1: | |
| return True | |
| return False | |
| return len(self.store) == 0 |
| return False | ||
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| def heap_up(self, index): |
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👍 Due to the call stack the space complexity is O(log n)
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| self.heap_down((index * 2 + 2)) | ||
| self.heap_down(index) |
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This works, but you do potentially end up with an extra swap. However you avoid extra complicated conditionals.
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Heaps Practice
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Comprehension Questions
heap_up&heap_downmethods useful? Why?