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C15 - Katrina K #24
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C15 - Katrina K #24
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Nice work Katrina, you hit the learning goals here. Well done.
def heap_sort(list): | ||
""" This method uses a heap to sort an array. | ||
Time Complexity: ? | ||
Space Complexity: ? | ||
""" |
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👍 Time/space complexity?
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) *same space is added to the list every time but the behind the scenes buffer might be using more memory than this | ||
""" |
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👍 The space complexity is also log n due to the recursive call stack as you note
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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👍 The space complexity is also O(log n)
if len(self.store) < 1: | ||
return True | ||
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return False |
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if len(self.store) < 1: | |
return True | |
return False | |
return len(self.store) == 0 |
if len(self.store) < 1: | ||
return True | ||
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return False | ||
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def heap_up(self, index): |
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👍 Due to the call stack the space complexity is O(log n)
self.heap_down((index * 2 + 2)) | ||
self.heap_down(index) |
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This works, but you do potentially end up with an extra swap. However you avoid extra complicated conditionals.
Heaps Practice
Congratulations! You're submitting your assignment!
Comprehension Questions
heap_up
&heap_down
methods useful? Why?