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90 changes: 90 additions & 0 deletions data_structures/heap/max_heap.py
Original file line number Diff line number Diff line change
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class BinaryHeap:
"""
A max-heap implementation in Python
>>> sample = BinaryHeap()
>>> sample.insert(6)
>>> sample.insert(10)
>>> sample.insert(15)
>>> sample.insert(12)
>>> print(sample.pop())
15
>>> print(sample.pop())
12
>>> print(sample.get_list)
[10, 6]
>>> print(sample.get_size)
2
"""

def __init__(self):
self.__heap = [0]
self.__size = 0

def __swap_up(self, i: int) -> None:
""" Swap the element up """
temporary = self.__heap[i]
while i // 2 > 0:
if self.__heap[i] > self.__heap[i // 2]:
self.__heap[i] = self.__heap[i // 2]
self.__heap[i // 2] = temporary
i //= 2

def insert(self, value: int) -> None:
""" Insert new element """
self.__heap.append(value)
self.__size += 1
self.__swap_up(self.__size)

def __swap_down(self, i: int) -> None:
""" Swap the element down """
while self.__size >= 2 * i:
if 2 * i + 1 > self.__size:
bigger_child = 2 * i
else:
if self.__heap[2 * i] > self.__heap[2 * i + 1]:
bigger_child = 2 * i
else:
bigger_child = 2 * i + 1
temporary = self.__heap[i]
if self.__heap[i] < self.__heap[bigger_child]:
self.__heap[i] = self.__heap[bigger_child]
self.__heap[bigger_child] = temporary
i = bigger_child

def pop(self) -> int:
""" Pop the root element """
max_value = self.__heap[1]
self.__heap[1] = self.__heap[self.__size]
self.__size -= 1
self.__heap.pop()
self.__swap_down(1)
return max_value

@property
def get_list(self):
return self.__heap[1:]

@property
def get_size(self):
return self.__size


# example
# create an instance of BinaryHeap object
sample = BinaryHeap()
# insert values
sample.insert(6)
sample.insert(10)
sample.insert(15)
sample.insert(12)
# pop root(max-values because it is max heap)
print(sample.pop()) # 15
print(sample.pop()) # 12
# get the list and size after operations
print(sample.get_list)
print(sample.get_size)

if __name__ == "__main__":
import doctest

doctest.testmod()