Paper: Heaps Exercise #46
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CheezItMan
reviewed
Jan 28, 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(1) | ||
| """ |
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👍 The space complexity you have here is O(n) because you 're building a heap of n nodes.
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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(log n) | ||
| """ |
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| def empty(self): | ||
| """ This method returns true if the heap is empty | ||
| Time complexity: ? | ||
| Space complexity: ? | ||
| Time complexity: O(1) | ||
| Space complexity: O(1) | ||
| """ |
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| def heap_up(self, index): | ||
| """ This helper method takes an index and | ||
| moves it up the heap, if it is less than it's parent node. | ||
| It could be **very** helpful for the add method. | ||
| 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) because of the recursive call stack.
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| def heap_down(self, index): | ||
| """ This helper method takes an index and | ||
| moves it up the heap if it's smaller | ||
| than it's parent node. | ||
| """ |
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Will fill out below questions and clean up code later.
Heaps Practice
Congratulations! You're submitting your assignment!
Comprehension Questions
heap_up&heap_downmethods useful? Why?