C15 - Hena #27
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C15 - Hena #27
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CheezItMan
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Jan 11, 2022
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| def heap_sort(list): | ||
| """ This method uses a heap to sort an array. | ||
| Time Complexity: ? | ||
| Space Complexity: ? | ||
| Time Complexity: O(log n) | ||
| Space Complexity: O(n) | ||
| """ |
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👍 The time complexity is O(n log n) because you add n elements to a heap (n * log n) and then remove n elements from the heap O(n * log n)
| @@ -21,21 +21,33 @@ def __init__(self): | |||
| def add(self, key, value = None): | |||
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👍 However space complexity is O(1) since you just add 1 element to the heap and use an iterative solution
| node = HeapNode(key, value) | ||
| self.store.append(node) | ||
| node_index = len(self.store) - 1 | ||
| self.heap_up(node_index) | ||
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| def remove(self): |
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👍 However space complexity is O(log n)
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| while self.store[parent_index].key > self.store[index].key: | ||
| self.swap(parent_index, index) | ||
| self.heap_up(parent_index) | ||
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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?