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Rock - Drew Taylor #40

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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 Drew, you hit the learning goals here. Well done.

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: O(n log n)
Space Complexity: O(n)
"""

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👍

Comment on lines 21 to 26
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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👍 the time/space complexities here are both O(log n)

Comment on lines 34 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)
"""
pass

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👍

@@ -46,10 +58,10 @@ def __str__(self):

def empty(self):

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👍

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


def heap_up(self, index):

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👍 the time/space complexities here are O(log n)

Comment on lines 85 to 90
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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👍

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2 participants