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Paper - Courtney Massey#30

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Paper - Courtney Massey#30
courtneycmassey wants to merge 2 commits into
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Heaps Practice

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Comprehension Questions

Question Answer
How is a Heap different from a Binary Search Tree?
Could you build a heap with linked nodes?
Why is adding a node to a heap an O(log n) operation?
Were the heap_up & heap_down methods useful? Why?

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Nice work Courtney, you hit the learning goals here. Well done.

Comment thread heaps/heap_sort.py
Comment on lines 3 to 7
def heap_sort(list):
""" This method uses a heap to sort an array.
Time Complexity: ?
Space Complexity: ?
Time Complexity: O(n)
Space Complexity: O(1)
"""
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👍 You add n elements to a heap and each add takes O(log n) times. So the time complexity is O(n log n).

You also add each element to the heap, n elements, so the space complexity is O(n)

Comment thread heaps/min_heap.py
Comment on lines 17 to 22
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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👍

Comment thread heaps/min_heap.py
Comment on lines 30 to 35
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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👍

Comment thread heaps/min_heap.py
Comment on lines 62 to 68
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(log n)
"""
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👍

Comment thread heaps/min_heap.py
Comment on lines 78 to 82
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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👍

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2 participants