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Paper- Saejin #47

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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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@CheezItMan CheezItMan left a comment

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Nice work Saejin, you hit the learning goals here. Well done. Take a look at my feedback and let me know what questions you have.

Comment on lines 4 to 8
def heap_sort(list):
""" This method uses a heap to sort an array.
Time Complexity: ?
Space Complexity: ?
Time Complexity: Onlogn
Space Complexity: On
"""

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👍

Comment on lines 21 to +25
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 on lines 34 to 39
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) because of heap_down's recursive call stack

Comment on lines 56 to 60
def empty(self):
""" This method returns true if the heap is empty
Time complexity: ?
Space complexity: ?
Time complexity: On
Space complexity: O1
"""

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👍 However the time complexity is O(1)

"""
pass
return len(self.store) == 0


def heap_up(self, index):

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👍 Nice iterative solution

Comment on lines 82 to 87
def heap_down(self, index):
""" This helper method takes an index and
moves the corresponding element down the heap if it's
larger than either of its children and continues until
the heap property is reestablished.
"""

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👍 Nice iterative solution

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2 participants