diff --git a/lib/heap_sort.rb b/lib/heap_sort.rb index 6b692e4..1ffa1c0 100644 --- a/lib/heap_sort.rb +++ b/lib/heap_sort.rb @@ -1,8 +1,17 @@ # This method uses a heap to sort an array. -# Time Complexity: ? -# Space Complexity: ? +# Time Complexity: o1 +# Space Complexity: on def heapsort(list) - raise NotImplementedError, "Method not implemented yet..." + heap = MinHeap.new + result = [] + + list.each do |val| + heap.add(val, val) + end + + result << heap.remove until heap.empty? + + return result end \ No newline at end of file diff --git a/lib/min_heap.rb b/lib/min_heap.rb index 6eaa630..c6156ae 100644 --- a/lib/min_heap.rb +++ b/lib/min_heap.rb @@ -8,24 +8,31 @@ def initialize(key, value) end class MinHeap - def initialize @store = [] end # This method adds a HeapNode instance to the heap - # Time Complexity: ? - # Space Complexity: ? + # Time Complexity:ologn + # Space Complexity: o1 def add(key, value = key) - raise NotImplementedError, "Method not implemented yet..." + @store << HeapNode.new(key, value) + + return heap_up(@store.length - 1) end # This method removes and returns an element from the heap # maintaining the heap structure - # Time Complexity: ? - # Space Complexity: ? + # Time Complexity:ologn + # Space Complexity: o1 def remove() - raise NotImplementedError, "Method not implemented yet..." + return nil if @store.empty? + + swap(0, @store.length - 1) + removed = @store.pop + + heap_down(0) #unless @store.empty? + return removed.value end @@ -44,10 +51,10 @@ def to_s end # This method returns true if the heap is empty - # Time complexity: ? - # Space complexity: ? + # Time complexity: o1 + # Space complexity: o1 def empty? - raise NotImplementedError, "Method not implemented yet..." + return @store.empty? end private @@ -55,17 +62,42 @@ def empty? # This helper method takes an index and # moves it up the heap, if it is less than it's parent node. # It could be **very** helpful for the add method. - # Time complexity: ? - # Space complexity: ? + # Time complexity: o1 + # Space complexity: o1 def heap_up(index) + return if index == 0 + parent = (index - 1 ) / 2 + + if @store[parent].key > @store[index].key + swap(parent, index) + return heap_up(parent) while parent > 0 + end end # 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) - raise NotImplementedError, "Method not implemented yet..." + child_index_left = (index * 2) + 1 + child_index_right = (index * 2) + 2 + + if @store[child_index_left].nil? + return + elsif @store[child_index_right].nil? + if @store[child_index_left].key < @store[index].key + swap(index, child_index_left) + end + return + end + + if @store[child_index_left].key < @store[child_index_right].key + swap(index, child_index_left) + heap_down(child_index_left) + else + swap(index, child_index_right) + heap_down(child_index_right) + end end # If you want a swap method... you're welcome diff --git a/test/heapsort_test.rb b/test/heapsort_test.rb index 34402ac..7ce79b7 100644 --- a/test/heapsort_test.rb +++ b/test/heapsort_test.rb @@ -1,6 +1,6 @@ require_relative "test_helper" -xdescribe "heapsort" do +describe "heapsort" do it "sorts an empty array" do # Arrange list = []