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Paper - Lauren Covington#37
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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 Lauren, you hit the learning goals here. Well done.

Comment thread heaps/heap_sort.py
Comment on lines 3 to +6
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 thread heaps/min_heap.py
Comment on lines 20 to -27
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)
"""
pass
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👍 However the space complexity is O(log n) due to heap_up's recursive call stack.

Comment thread heaps/min_heap.py
Comment on lines 32 to 37
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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👍

Comment thread heaps/min_heap.py
Comment on lines 54 to +57
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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👍

Comment thread heaps/min_heap.py
return len(self.store) == 0


def heap_up(self, index):
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👍

Comment thread heaps/min_heap.py
self.swap(parent_index, index)
self.heap_up(parent_index)

def heap_down(self, index):
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👍

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2 participants