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Fire - Jing #20

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@Jing-321 Jing-321 commented May 6, 2021

Heaps Practice

Congratulations! You're submitting your assignment!

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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It passes all the tests, but it doesn't do what it's supposed to do. Take a look at my comments and let me know what questions you have.

There is some good code here, but a lot is just... rough, maybe make a 2nd stab at this.

def heapsort(list)

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⚠️ , Space & time complexity?

Also you add things into a heap, but in the internal structure the items are not sorted. They're maintained in heap order with the parent smaller than it's children. You have to REMOVE elements from the heap 1-by-1 to be guaranteed to get it into order.

Comment on lines +18 to 20
# Time Complexity: O(logn)
# Space Complexity: O(1)
def add(key, value = key)

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👍

lib/min_heap.rb Outdated
Comment on lines 21 to 22
if @store.empty?
@store << HeapNode.new(key, value)

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Do you need this if block?

lib/min_heap.rb Outdated
def remove()
raise NotImplementedError, "Method not implemented yet..."
min = @store.min_by {|node| node.key}

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This is a linear search, you're totally losing the advantage of a Heap here!

Comment on lines +62 to 64
# Time complexity: O(0)
# Space complexity: O(0)
def empty?

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👍

Comment on lines +73 to 75
# Time complexity: O(logn)
# Space complexity: O(0)
def heap_up(index)

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👍

Comment on lines 83 to 86
# This helper method takes an index and
# moves it up the heap if it's smaller
# than it's parent node.
def heap_down(index)

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This isn't working because you've got to:

  1. Check the both left and right child
    1. And swap with the smaller of the two, if needed
  2. Consider the case where there is a left child and not a right child

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Nice work!

Comment on lines +83 to +84
swap(index, index * 2 + 1)
swap(index, index * 2 + 2) if @store[index * 2 + 2] != nil && @store[index].key > @store[index * 2 + 2].key

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Fixed!

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2 participants