interactive-coding-challenges/graphs_trees/min_heap/min_heap.py
2017-03-30 05:39:53 -04:00

66 lines
2.0 KiB
Python

from __future__ import division
import sys
class MinHeap(object):
def __init__(self):
self.array = []
def __len__(self):
return len(self.array)
def extract_min(self):
if not self.array:
return None
if len(self.array) == 1:
return self.array.pop(0)
minimum = self.array[0]
# Move the last element to the root
self.array[0] = self.array.pop(-1)
self._bubble_down(index=0)
return minimum
def peek_min(self):
return self.array[0] if self.array else None
def insert(self, key):
if key is None:
raise TypeError('key cannot be None')
self.array.append(key)
self._bubble_up(index=len(self.array)-1)
def _bubble_up(self, index):
if index == 0:
return
index_parent = (index-1) // 2
if self.array[index] < self.array[index_parent]:
# Swap the indices and recurse
self.array[index], self.array[index_parent] = \
self.array[index_parent], self.array[index]
self._bubble_up(index_parent)
def _bubble_down(self, index):
min_child_index = self._find_smaller_child(index)
if min_child_index == -1:
return
if self.array[index] > self.array[min_child_index]:
# Swap the indices and recurse
self.array[index], self.array[min_child_index] = \
self.array[min_child_index], self.array[index]
self._bubble_down(min_child_index)
def _find_smaller_child(self, index):
left_child_index = 2 * index + 1
right_child_index = 2 * index + 2
if right_child_index >= len(self.array):
if left_child_index >= len(self.array):
return -1
else:
return left_child_index
else:
if self.array[left_child_index] < self.array[right_child_index]:
return left_child_index
else:
return right_child_index