# Python: heap queue algorithm - Exercises, Practice, Solution

## Python heap queue algorithm [29 exercises with solution ]

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Heaps are binary trees for which every parent node has a value less than or equal to any of its children.

Here are some exercises of heap queue algorithm.

**1.** Write a Python program to find the three largest integers from a given list of numbers using Heap queue algorithm. Go to the editor

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**2.** Write a Python program to find the three smallest integers from a given list of numbers using Heap queue algorithm. Go to the editor

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**3.** Write a Python program to implement a heapsort by pushing all values onto a heap and then popping off the smallest values one at a time. Go to the editor

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**4.** Write a Python function which accepts an arbitrary list and converts it to a heap using Heap queue algorithm. Go to the editor

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**5.** Write a Python program to delete the smallest element from the given Heap and then inserts a new item. Go to the editor

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**6.** Write a Python program to sort a given list of elements in ascending order using Heap queue algorithm. Go to the editor

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**7.** Write a Python program to find the kth (1 <= k <= array's length) largest element in an unsorted array using Heap queue algorithm. Go to the editor

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**8.** Write a Python program to compute maximum product of three numbers of a given array of integers using Heap queue algorithm. Go to the editor

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**9.** Write a Python program to find the top k integers that occur the most frequently from a given lists of sorted and distinct integers using Heap queue algorithm. Go to the editor

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**10.** Write a Python program to get the n expensive and cheap price items from a given dataset using Heap queue algorithm. Go to the editor

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**11.** Write a Python program to merge multiple sorted inputs into a single sorted iterator (over the sorted values) using Heap queue algorithm. Go to the editor

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**12.** Given a n x n matrix where each of the rows and columns are sorted in ascending order, write a Python program to find the kth smallest element in the matrix. Go to the editor

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**13.** Write a Python program to find the nth super ugly number from a given prime list of size k using Heap queue algorithm. Go to the editor

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**14.** Write a Python program to get the k most frequent elements from a given non-empty list of words using Heap queue algorithm. Go to the editor

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**15.** Write a Python program to check if the letters of a given string can be rearranged so that two characters that are adjacent to each other are different using Heap queue algorithm. Go to the editor

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**16.** Write a Python program which add integer numbers from the data stream to a heapq and compute the median of all elements. Use Heap queue algorithm. Go to the editor

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**17.** You are given two integer arrays sorted in ascending order and an integer k. Write a Python program to find k number of pairs (u, v) which consists of one element from the first array and one element from the second array using Heap queue algorithm. Go to the editor

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**18.** Write a Python program to find the nth ugly number using Heap queue algorithm. Go to the editor

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**19.** Write a Python program to print a heap as a tree-like data structure. Go to the editor

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**20.** Write a Python program to combine two given sorted lists using heapq module. Go to the editor

Sample Output:

Original sorted lists:

[1, 3, 5, 7, 9, 11]

[0, 2, 4, 6, 8, 10]

After merging the said two sorted lists:

[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]

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**21.** Write a Python program to push three items into the heap and print the items from the heap. Go to the editor

Sample Output:

('V', 1)

('V', 2)

('V', 3)

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**22.** Write a Python program to push three items into a heap and return the smallest item from the heap. Also Pop and return the smallest item from the heap. Go to the editor

Sample Output:

Items in the heap:

('V', 1)

('V', 3)

('V', 2)

----------------------

The smallest item in the heap:

('V', 1)

----------------------

Pop the smallest item in the heap:

('V', 2)

('V', 3)

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**23.** Write a Python program to push an item on the heap, then pop and return the smallest item from the heap. Go to the editor

Sample Output:

Items in the heap:

('V', 1)

('V', 3)

('V', 2)

----------------------

Using heappushpop push item on the heap and return the smallest item.

('V', 2)

('V', 3)

('V', 6)

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**24.** Write a Python program to create a heapsort, pushing all values onto a heap and then popping off the smallest values one at a time. Go to the editor

Sample Output:

[10, 20, 20, 40, 50, 50, 60, 70, 80, 90, 100]

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**25.** Write a Python program to get the two largest and three smallest items from a dataset. Go to the editor

Sample Output:

[100, 90]
[10, 20, 20]

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**26.** Write a Python program to create a queue and display all the members and size of the queue. Go to the editor

Sample Output:

Members of the queue:

0 1 2 3

Size of the queue:

4

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**27.** Write a Python program to find whether a queue is empty or not. Go to the editor

Sample Output:

True

False

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**28.** Write a Python program to create a FIFO queue. Go to the editor

Sample Output:

0 1 2 3

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**29.** Write a Python program to create a LIFO queue. Go to the editor

Sample Output:

3 2 1 0

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## Python: Tips of the Day

**Python: Random Numbers**

Python's default random library can be very handy when you need to create random numbers.

randint for an integer between lower and upper limits:

import random x=random.randint(55, 555) print(x)

Output:

477

randrange(start, stop, steps), will also give a value in the range but you can also specify a step.

import random x=random.randrange(0, 50, 4) print(x)

Output:

24

random() will return a float value between 0 and 1. This can also be used as a random percentage.

You can explore other methods of the random library by using dir(random) and help(random)

import random x=random.random() print(x)

Output:

0.30172304827477603

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