C15-Paper-Weishan#35
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Jan 18, 2022
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Nice work Weishan, the methods all work, with just one note on space complexity. Very well done .
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| def heap_sort(list): | ||
| """ This method uses a heap to sort an array. | ||
| Time Complexity: ? | ||
| Space Complexity: ? | ||
| Time Complexity: O(nlogn) | ||
| Space Complexity: O(n) |
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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(log n) |
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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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👍 However the space complexity is O(log n) due to the recursive heap_down method.
| return len(self.store) == 0 | ||
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| def heap_up(self, index): |
| self.swap(parent_node, index) | ||
| self.heap_up(parent_node) | ||
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| def heap_down(self, index): |
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Heaps Practice
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Comprehension Questions
heap_up&heap_downmethods useful? Why?