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Min_Heap_implementation.py
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Min_Heap_implementation.py
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'''
# Min Heap in Python
5 13
/ \ / \
10 15 16 31
/ / \ / \
30 41 51 100 41
'''
# Python3 implementation of Min Heap
import sys
class MinHeap:
def __init__(self, maxsize):
self.maxsize = maxsize
self.size = 0
self.Heap = [0]*(self.maxsize + 1)
self.Heap[0] = -1 * sys.maxsize
self.FRONT = 1
# Function to return the position of
# parent for the node currently
# at pos
def parent(self, pos):
return pos//2
# Function to return the position of
# the left child for the node currently
# at pos
def leftChild(self, pos):
return 2 * pos
# Function to return the position of
# the right child for the node currently
# at pos
def rightChild(self, pos):
return (2 * pos) + 1
# Function that returns true if the passed
# node is a leaf node
def isLeaf(self, pos):
if pos >= (self.size//2) and pos <= self.size:
return True
return False
# Function to swap two nodes of the heap
def swap(self, fpos, spos):
self.Heap[fpos], self.Heap[spos] = self.Heap[spos], self.Heap[fpos]
# Function to heapify the node at pos
def minHeapify(self, pos):
# If the node is a non-leaf node and greater
# than any of its child
if not self.isLeaf(pos):
if (self.Heap[pos] > self.Heap[self.leftChild(pos)] or
self.Heap[pos] > self.Heap[self.rightChild(pos)]):
# Swap with the left child and heapify
# the left child
if self.Heap[self.leftChild(pos)] < self.Heap[self.rightChild(pos)]:
self.swap(pos, self.leftChild(pos))
self.minHeapify(self.leftChild(pos))
# Swap with the right child and heapify
# the right child
else:
self.swap(pos, self.rightChild(pos))
self.minHeapify(self.rightChild(pos))
# Function to insert a node into the heap
def insert(self, element):
if self.size >= self.maxsize :
return
self.size+= 1
self.Heap[self.size] = element
current = self.size
while self.Heap[current] < self.Heap[self.parent(current)]:
self.swap(current, self.parent(current))
current = self.parent(current)
# Function to print the contents of the heap
def Print(self):
for i in range(1, (self.size//2)+1):
print(" PARENT : "+ str(self.Heap[i])+" LEFT CHILD : "+
str(self.Heap[2 * i])+" RIGHT CHILD : "+
str(self.Heap[2 * i + 1]))
# Function to build the min heap using
# the minHeapify function
def minHeap(self):
for pos in range(self.size//2, 0, -1):
self.minHeapify(pos)
# Function to remove and return the minimum
# element from the heap
def remove(self):
popped = self.Heap[self.FRONT]
self.Heap[self.FRONT] = self.Heap[self.size]
self.size-= 1
self.minHeapify(self.FRONT)
return popped
# Driver Code
if __name__ == "__main__":
print('The minHeap is ')
minHeap = MinHeap(15)
minHeap.insert(5)
minHeap.insert(3)
minHeap.insert(17)
minHeap.insert(10)
minHeap.insert(84)
minHeap.insert(19)
minHeap.insert(6)
minHeap.insert(22)
minHeap.insert(9)
minHeap.minHeap()
minHeap.Print()
print("The Min val is " + str(minHeap.remove()))
'''
Output:
The Min Heap is
PARENT : 3 LEFT CHILD : 5 RIGHT CHILD :6
PARENT : 5 LEFT CHILD : 9 RIGHT CHILD :84
PARENT : 6 LEFT CHILD : 19 RIGHT CHILD :17
PARENT : 9 LEFT CHILD : 22 RIGHT CHILD :10
The Min val is 3
'''