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heap.py
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226 lines (187 loc) · 6.74 KB
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# -*- coding: utf-8 -*-
"""
Created on Thu May 5 07:07:40 2022
@author: salman
"""
class MinHeap():
def __init__(self, size=0):
self.size = size
self.members = []
def get_left_child_index(self, arg):
return 2*arg + 1
def get_right_child_index(self, arg):
return 2*arg + 2
def get_parent_index(self, arg):
return (arg - 1) // 2
def has_left_child(self, arg):
return self.get_left_child_index(arg) < self.size
def has_right_child(self, arg):
return self.get_right_child_index(arg) < self.size
def has_parent(self, arg):
return self.get_parent_index(arg) >= 0
def left_child(self, arg):
return self.members[self.get_left_child_index(arg)]
def right_child(self, arg):
return self.members[self.get_right_child_index(arg)]
def parent(self, arg):
return self.members[self.get_parent_index(arg)]
def swap(self, arg1, arg2):
temp = self.members[arg1]
self.members[arg1] = self.members[arg2]
self.members[arg2] = temp
return None
def ensure_extra_capacity(self, init_val=0, mult=2):
self.members = self.members + [init_val]*((mult - 1)*self.size)
return None
def peek(self):
if self.size == 0:
return None
return self.members[0]
def poll(self):
if self.size == 0:
return None
retval = self.members[0]
self.members[0] = self.members[-1]
self.size -= 1
self.members = self.members[:-1]
self.heapify_down()
return retval
def heapify_down(self):
if self.size == 0:
return None
par_idx = 0
while 1:
if not (self.has_left_child(par_idx) or
self.has_right_child(par_idx)):
return None
elif not self.has_right_child(par_idx):
if self.members[par_idx] <= self.left_child(par_idx):
return None
left_idx = self.get_left_child_index(par_idx)
self.swap(par_idx, left_idx)
par_idx = left_idx
else:
if self.members[par_idx] <= self.left_child(par_idx) and\
self.members[par_idx] <= self.right_child(par_idx):
return None
elif self.left_child(par_idx) <= self.right_child(par_idx):
left_idx = self.get_left_child_index(par_idx)
self.swap(par_idx, left_idx)
par_idx = left_idx
else:
right_idx = self.get_right_child_index(par_idx)
self.swap(par_idx, right_idx)
par_idx = right_idx
def heapify_up(self):
if self.size == 0:
return None
child_idx = self.size - 1
while 1:
if not self.has_parent(child_idx):
return None
elif self.members[child_idx] >= self.parent(child_idx):
return None
else:
par_idx = self.get_parent_index(child_idx)
self.swap(child_idx, par_idx)
child_idx = par_idx
def add(self, arg):
self.size += 1
self.members.append(arg)
self.heapify_up()
return None
class MaxHeap():
def __init__(self, size=0):
self.size = size
self.members = []
def get_left_child_index(self, arg):
return 2*arg + 1
def get_right_child_index(self, arg):
return 2*arg + 2
def get_parent_index(self, arg):
return (arg - 1) // 2
def has_left_child(self, arg):
return self.get_left_child_index(arg) < self.size
def has_right_child(self, arg):
return self.get_right_child_index(arg) < self.size
def has_parent(self, arg):
return self.get_parent_index(arg) >= 0
def left_child(self, arg):
return self.members[self.get_left_child_index(arg)]
def right_child(self, arg):
return self.members[self.get_right_child_index(arg)]
def parent(self, arg):
return self.members[self.get_parent_index(arg)]
def swap(self, arg1, arg2):
temp = self.members[arg1]
self.members[arg1] = self.members[arg2]
self.members[arg2] = temp
return None
def ensure_extra_capacity(self, init_val=0, mult=2):
self.members = self.members + [init_val]*((mult - 1)*self.size)
return None
def peek(self):
if self.size == 0:
return None
return self.members[0]
def poll(self):
if self.size == 0:
return None
retval = self.members[0]
self.members[0] = self.members[-1]
self.size -= 1
self.members = self.members[:-1]
self.heapify_down()
return retval
def heapify_down(self):
if self.size == 0:
return None
par_idx = 0
while 1:
if not (self.has_left_child(par_idx) or
self.has_right_child(par_idx)):
return None
elif not self.has_right_child(par_idx):
if self.members[par_idx] >= self.left_child(par_idx):
return None
left_idx = self.get_left_child_index(par_idx)
self.swap(par_idx, left_idx)
par_idx = left_idx
else:
if self.members[par_idx] >= self.left_child(par_idx) and\
self.members[par_idx] >= self.right_child(par_idx):
return None
elif self.left_child(par_idx) >= self.right_child(par_idx):
left_idx = self.get_left_child_index(par_idx)
self.swap(par_idx, left_idx)
par_idx = left_idx
else:
right_idx = self.get_right_child_index(par_idx)
self.swap(par_idx, right_idx)
par_idx = right_idx
def heapify_up(self):
if self.size == 0:
return None
child_idx = self.size - 1
while 1:
if not self.has_parent(child_idx):
return None
elif self.members[child_idx] <= self.parent(child_idx):
return None
else:
par_idx = self.get_parent_index(child_idx)
self.swap(child_idx, par_idx)
child_idx = par_idx
def add(self, arg):
self.size += 1
self.members.append(arg)
self.heapify_up()
return None
if __name__ == '__main__':
elements = [23, 17, 25, 10, 36, 20, 30, 42, 31, 6, 26, 11, 43, 19, 28, 34,
22, 28, 5, 14]
myheap = MaxHeap()
for element in elements:
myheap.add(element)
for i in range(len(elements)):
print(myheap.poll())