def heap_extract_max(heap):
"""
:description: remove and return the max value while maintaining the max heap property
:time: O(lgn)
"""
assert len(heap) > 0
heap[0], heap[-1] = heap[-1], heap[0]
max_value = heap.pop()
heap_ops.max_heapify(heap, 0)
return max_value
def heap_extract_max(heap):
"""
:description: remove and return the max value while maintaining the max heap property
:time: O(lgn)
"""
assert len(heap) > 0
heap[0], heap[-1] = heap[-1], heap[0]
max_value = heap.pop()
heap_ops.max_heapify(heap, 0)
return max_value
def heapsort(arr):
"""
:description: heapsort, version not in place b/c the heap ops don't take heap size parameter. Works by removing largest element and calling max_heapify
:time: O(nlgn) worst case calls max_heapify n times
:space: O(n)
"""
heap = arr
heap_ops.build_max_heap(heap)
sorted_arr = []
for i in range(len(arr) - 1):
heap[0], heap[-1] = heap[-1], heap[0]
sorted_arr.append(heap.pop())
heap_ops.max_heapify(heap, 0)
sorted_arr.append(heap.pop())
return list(reversed(sorted_arr))
def heapsort(arr):
"""
:description: heapsort, version not in place b/c the heap ops don't take heap size parameter. Works by removing largest element and calling max_heapify
:time: O(nlgn) worst case calls max_heapify n times
:space: O(n)
"""
heap = arr
heap_ops.build_max_heap(heap)
sorted_arr = []
for i in range(len(arr) - 1):
heap[0], heap[-1] = heap[-1], heap[0]
sorted_arr.append(heap.pop())
heap_ops.max_heapify(heap, 0)
sorted_arr.append(heap.pop())
return list(reversed(sorted_arr))