Scissors - Maria M. #31
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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(n log n) | ||
| Space Complexity: O(n) |
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| def get_parent(self, index): | ||
| return ((index - 1) // 2) | ||
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| def get_left_child(self, index): | ||
| return ((index * 2) + 1) | ||
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| def get_right_child(self, index): | ||
| return ((index * 2) + 2) |
| def get_right_child(self, index): | ||
| return ((index * 2) + 2) | ||
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| def get_smallest_child(self, index): |
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👍 This is a particularly good helper
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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) | ||
| """ |
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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 O(log n) due to the recursive call stack.
| @@ -46,10 +72,10 @@ def __str__(self): | |||
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| def empty(self): | |||
| """ | ||
| pass | ||
| return len(self.store) == 0 | ||
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| def heap_up(self, index): |
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| if self.store[parent_node].key > node.key: | ||
| self.swap(index, parent_node) | ||
| index = parent_node | ||
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| def heap_down(self, index): |
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Heaps Practice
Congratulations! You're submitting your assignment!
Comprehension Questions
heap_up&heap_downmethods useful? Why?