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Home » Python » Python Programs to Print Patterns – Print Number, Pyramid, Star, Triangle, Diamond, and Alphabets Patterns

Python Programs to Print Patterns – Print Number, Pyramid, Star, Triangle, Diamond, and Alphabets Patterns

Updated on: September 3, 2024 | 457 Comments

This Python lesson includes over 35+ coding programs for printing Numbers, Pyramids, Stars, triangles, Diamonds, and alphabet patterns, ensuring you gain hands-on experience and confidence in your Python skills.

Printing numbers, stars (asterisk), or other characters in different shapes (patterns) is a frequently asked interview question for freshers. Creating these number and pyramid patterns allows you to test your logical ability and coding skills.

In this lesson, you’ll learn how to print patterns using the for loop, while loop, and the range() function.

This article teaches you how to print the following patterns in Python.

  • Number pattern
  • Pyramid pattern
  • Inverted pyramid pattern
  • Half pyramid pattern
  • Triangle pattern
  • Star (*) or asterisk pattern
  • Diamond Shaped pattern
  • Characters or alphabet pattern
  • Square pattern
Print Pattern in Python
Print Pattern in Python

Table of contents

  • Steps to Print Pattern in Python
  • Number Patterns Programs In Python
    • Pyramid pattern of numbers
    • Inverted pyramid pattern of numbers
    • Inverted Pyramid pattern with the same digit
    • Another inverted half-pyramid pattern with a number
    • Alternate numbers pattern using a while loop
    • Reverse number pattern
    • Reverse Pyramid of Numbers
    • Another reverse number pattern
    • Print reverse number from 10 to 1
    • Number triangle pattern
    • Pascal’s triangle pattern using numbers
    • Square pattern with numbers
    • Multiplication table pattern
  • Pyramid pattern of stars in python
    • Right triangle pyramid of Stars
    • Downward half-Pyramid Pattern of Star
    • Downward full Pyramid Pattern of star
    • Right down mirror star Pattern
    • Equilateral triangle pattern of star
    • Print two pyramids of stars
    • Right start pattern of star
    • Left triangle pascal’s pattern
    • Sandglass pattern of star
    • Pant style pattern of stars
  • Diamond-shaped pattern of stars
    • Another diamond pattern of star
  • Alphabets and letters pattern
    • Pattern to display letter of the word
    • Equilateral triangle pattern of characters/alphabets
    • Pattern of same character
  • More miscellaneous Patterns
    • Pyramid of horizontal number tables
    • Double the number pattern
    • Random number pattern
    • Pyramid of numbers less than 10
    • Pyramid of numbers up to 10
    • Even number pattern
    • Unique pyramid pattern of digits
    • Pattern double number on each column
    • Number reduction pattern
    • Pant style pattern of numbers
    • Pattern with a combination of numbers and stars
  • Practice Problem
  • Next Steps

Steps to Print Pattern in Python

To print any pattern, you must first understand its logic and technique. Use the below steps to print any pattern in Python.

  1. Decide the number of rows and columns

    The number of rows and columns is crucial when printing a pattern. To achieve this, we utilize two loops: outer loops and nested loops. The outer loop is the number of rows, while the inner loop tells us the column needed to print the pattern.

    The input () function accepts the number of rows from a user to decide the size of a pattern.

  2. Iterate rows

    Next, write an outer loop to Iterate the number of rows using a for loop and range() function.

  3. Iterate columns

    Next, write the inner or nested loop to handle the number of columns. The internal loop iteration depends on the values of the outer loop.

  4. Print star or number

    Use the print() function in each iteration of nested for loop to display the symbol or number of a pattern (like a star (asterisk *) or number).

  5. Add a new line after each iteration of the outer loop

    Add a new line using the print() function after each iteration of the outer loop so that the pattern displays appropriately

Algorithm for printing patterns in Python
Algorithm for printing patterns in Python

Also, Solve:

  • Python loop exercise
  • Python Basic Exercise for Beginners

Number Patterns Programs In Python

I have created various programs that print different styles of number patterns. Let’s see them one by one. Let’s print the following number pattern using a for loop.

1  
2 2  
3 3 3  
4 4 4 4  
5 5 5 5 5

Program:

rows = 6
# if you want user to enter a number, uncomment the below line
# rows = int(input('Enter the number of rows'))
# outer loop
for i in range(rows):
    # nested loop
    for j in range(i):
        # display number
        print(i, end=' ')
    # new line after each row
    print('')Code language: Python (python)

In this number pattern, we display a single digit on the first row, two digits on the second row, and three digits on the third row. This process will repeat until the number of rows is reached.

Note:

  • The count of numbers on each row is equal to the current row number.
  • Also, each number is separated by space.
  • We used a nested loop to print the pattern

Pyramid pattern of numbers

Let’s see how to print the following half-pyramid pattern of numbers

1 
1 2 
1 2 3 
1 2 3 4 
1 2 3 4 5

Note: In each row, every next number is incremented by 1.

Program:

rows = 5
for i in range(1, rows + 1):
    for j in range(1, i + 1):
        print(j, end=' ')
    print('')Code language: Python (python)

Inverted pyramid pattern of numbers

An inverted pyramid is a downward pattern where numbers get reduced in each iteration, and on the last row, it shows only one number. Use reverse for loop to print this pattern.

Pattern

1 1 1 1 1 
2 2 2 2 
3 3 3 
4 4 
5

Program

rows = 5
b = 0
# reverse for loop from 5 to 0
for i in range(rows, 0, -1):
    b += 1
    for j in range(1, i + 1):
        print(b, end=' ')
    print('\r')Code language: Python (python)

Inverted Pyramid pattern with the same digit

Pattern: –

5 5 5 5 5 
5 5 5 5 
5 5 5 
5 5 
5

Program: –

rows = 5
num = rows
# reverse for loop
for i in range(rows, 0, -1):
    for j in range(0, i):
        print(num, end=' ')
    print("\r")
Code language: Python (python)

Another inverted half-pyramid pattern with a number

Pattern: –

0 1 2 3 4 5 
0 1 2 3 4 
0 1 2 3 
0 1 2 
0 1

Program

rows = 5
for i in range(rows, 0, -1):
    for j in range(0, i + 1):
        print(j, end=' ')
    print("\r")
Code language: Python (python)

Alternate numbers pattern using a while loop

Let’s see how to use the while loop to print the number pattern.

Pattern: –

1 
3 3 
5 5 5 
7 7 7 7 
9 9 9 9 9

Program: –

rows = 5
i = 1
while i <= rows:
    j = 1
    while j <= i:
        print((i * 2 - 1), end=" ")
        j = j + 1
    i = i + 1
    print('')
Code language: Python (python)

Reverse number pattern

Let’s see how to display the pattern of descending order of numbers

Pattern 1: –

5 5 5 5 5 
4 4 4 4 
3 3 3 
2 2 
1

This pattern is also called as a inverted pyramid of descending numbers.

Program: –

rows = 5
# reverse loop
for i in range(rows, 0, -1):
    num = i
    for j in range(0, i):
        print(num, end=' ')
    print("\r")
Code language: Python (python)

Reverse Pyramid of Numbers

Pattern 2: –

1 
2 1 
3 2 1 
4 3 2 1 
5 4 3 2 1

Note: It is a downward increment pattern where numbers get increased in each iteration. At each row, the amount of number is equal to the current row number.

Program

rows = 6
for i in range(1, rows):
    for j in range(i, 0, -1):
        print(j, end=' ')
    print("")
Code language: Python (python)

Another reverse number pattern

Pattern: –

5 4 3 2 1 
4 3 2 1 
3 2 1 
2 1 
1

Program: –

rows = 5
for i in range(0, rows + 1):
    for j in range(rows - i, 0, -1):
        print(j, end=' ')
    print()Code language: Python (python)

Print reverse number from 10 to 1

Pattern: –

1
3 2
6 5 4
10 9 8 7

Program: –

start = 1
stop = 2
current_num = stop
for row in range(2, 6):
    for col in range(start, stop):
        current_num -= 1
        print(current_num, end=' ')
    print("")
    start = stop
    stop += row
    current_num = stopCode language: Python (python)

Number triangle pattern

Let’s see how to print the right-angled triangle pattern of numbers

Pattern: –

          1 
        1 2 
      1 2 3 
    1 2 3 4 
  1 2 3 4 5 

Program: –

rows = 6
for i in range(1, rows):
    num = 1
    for j in range(rows, 0, -1):
        if j > i:
            print(" ", end=' ')
        else:
            print(num, end=' ')
            num += 1
    print("")
Code language: Python (python)

Pascal’s triangle pattern using numbers

To build the pascal triangle, start with “1” at the top, then continue placing numbers below it in a triangular pattern.

Each number is the numbers directly above it added together.

Pattern:

1 
1 1 
1 2 1 
1 3 3 1 
1 4 6 4 1 
1 5 10 10 5 1 
1 6 15 20 15 6 1

Program: –

def print_pascal_triangle(size):
    for i in range(0, size):
        for j in range(0, i + 1):
            print(decide_number(i, j), end=" ")
        print()


def decide_number(n, k):
    num = 1
    if k > n - k:
        k = n - k
    for i in range(0, k):
        num = num * (n - i)
        num = num // (i + 1)
    return num

# set rows
rows = 7
print_pascal_triangle(rows)
Code language: Python (python)

Square pattern with numbers

Pattern: –

1 2 3 4 5 
2 2 3 4 5 
3 3 3 4 5 
4 4 4 4 5 
5 5 5 5 5

Program: –

rows = 5
for i in range(1, rows + 1):
    for j in range(1, rows + 1):
        if j <= i:
            print(i, end=' ')
        else:
            print(j, end=' ')
    print()
Code language: Python (python)

Multiplication table pattern

Pattern: –

1  
2  4  
3  6  9  
4  8  12  16  
5  10  15  20  25  
6  12  18  24  30  36  
7  14  21  28  35  42  49  
8  16  24  32  40  48  56  64  

Program: –

rows = 8
# rows = int(input("Enter the number of rows "))
for i in range(1, rows + 1):
    for j in range(1, i + 1):
        # multiplication current column and row
        square = i * j
        print(i * j, end='  ')
    print()
Code language: Python (python)

Pyramid pattern of stars in python

This section will see how to print pyramid and Star (asterisk) patterns in Python. Here we will print the following pyramid pattern with Star (asterisk).

  • Half pyramid pattern with stars(*)
  • Full pyramid pattern with stars
  • Inverted pyramid Pattern with stars
  • Triangle pattern with stars
  • Right-angled triangle pattern with stars

Simple half pyramid pattern: –

* 
* * 
* * * 
* * * * 
* * * * * 

This pattern is also known as a right angle triangle pyramid.

Program: –

# number of rows
rows = 5
for i in range(0, rows):
    # nested loop for each column
    for j in range(0, i + 1):
        # print star
        print("*", end=' ')
    # new line after each row
    print("\r")
Code language: Python (python)

Right triangle pyramid of Stars

Pattern: –

        * 
      * * 
    * * * 
  * * * * 
* * * * * 

This pattern is also called as mirrored right triangle

Program: –

# number of rows
rows = 5
k = 2 * rows - 2
for i in range(0, rows):
    # process each column
    for j in range(0, k):
        # print space in pyramid
        print(end=" ")
    k = k - 2
    for j in range(0, i + 1):
        # display star
        print("* ", end="")
    print("")
Code language: Python (python)

Alternative Solution:

rows = 5
for j in range(1, rows+1):
    print("* " * j)Code language: Python (python)

Downward half-Pyramid Pattern of Star

Pattern: –

* * * * *  
* * * *  
* * *  
* *  
*

Note: We need to use the reverse nested loop to print the downward pyramid pattern of stars

Program: –

rows = 5
for i in range(rows + 1, 0, -1):
    # nested reverse loop
    for j in range(0, i - 1):
        # display star
        print("*", end=' ')
    print(" ")
Code language: Python (python)

Downward full Pyramid Pattern of star

Let’s see how to print reversed pyramid pattern in Python.

Pattern: –

        * * * * * * 
         * * * * * 
          * * * * 
           * * * 
            * * 
             * 

Program:

rows = 5
k = 2 * rows - 2
for i in range(rows, -1, -1):
    for j in range(k, 0, -1):
        print(end=" ")
    k = k + 1
    for j in range(0, i + 1):
        print("*", end=" ")
    print("")
Code language: Python (python)

Right down mirror star Pattern

Pattern: –

*****
 ****
  ***
   **
    *

In this pattern, we need to use two nested while loops.

Program: –

rows = 5
i = rows
while i >= 1:
    j = rows
    while j > i:
        # display space
        print(' ', end=' ')
        j -= 1
    k = 1
    while k <= i:
        print('*', end=' ')
        k += 1
    print()
    i -= 1
Code language: Python (python)

Equilateral triangle pattern of star

Pattern: –

            *   
           *  *   
          *  *  *   
         *  *  *  *   
        *  *  *  *  *   
       *  *  *  *  *  *   
      *  *  *  *  *  *  *   

Program: –

print("Print equilateral triangle Pyramid using asterisk symbol ")
# printing full Triangle pyramid using stars
size = 7
m = (2 * size) - 2
for i in range(0, size):
    for j in range(0, m):
        print(end=" ")
    # decrementing m after each loop
    m = m - 1
    for j in range(0, i + 1):
        print("* ", end=' ')
    print(" ")
Code language: Python (python)

Print two pyramids of stars

Pattern: –

*  
* *  
* * *  
* * * *  
* * * * *  
* * * * * *  
 
* * * * * *  
* * * * *  
* * * *  
* * *  
* *  
*  

Program: –

rows = 6
for i in range(0, rows):
    for j in range(0, i + 1):
        print("*", end=' ')
    print(" ")

print(" ")

for i in range(rows + 1, 0, -1):
    for j in range(0, i - 1):
        print("*", end=' ')
    print(" ")
Code language: Python (python)

Right start pattern of star

Pattern: –

* 
* * 
* * * 
* * * * 
* * * * * 
* * * * 
* * * 
* * 
* 

We also call this pattern as a right pascal’s triangle.

Program: –

rows = 5
for i in range(0, rows):
    for j in range(0, i + 1):
        print("*", end=' ')
    print("\r")

for i in range(rows, 0, -1):
    for j in range(0, i - 1):
        print("*", end=' ')
    print("\r")
Code language: Python (python)

Left triangle pascal’s pattern

Pattern: –

        * 
      * * 
    * * * 
  * * * * 
* * * * * 
  * * * * 
    * * * 
      * * 
        * 

Program: –

rows = 5
i = 1
while i <= rows:
    j = i
    while j < rows:
        # display space
        print(' ', end=' ')
        j += 1
    k = 1
    while k <= i:
        print('*', end=' ')
        k += 1
    print()
    i += 1

i = rows
while i >= 1:
    j = i
    while j <= rows:
        print(' ', end=' ')
        j += 1
    k = 1
    while k < i:
        print('*', end=' ')
        k += 1
    print('')
    i -= 1
Code language: Python (python)

Sandglass pattern of star

Pattern: –

* * * * * 
 * * * * 
  * * * 
   * * 
    * 
    * 
   * * 
  * * * 
 * * * * 
* * * * * 

To print this pattern we need to use two set of three while loops.

Program: –

rows = 5
i = 0
while i <= rows - 1:
    j = 0
    while j < i:
        # display space
        print('', end=' ')
        j += 1
    k = i
    while k <= rows - 1:
        print('*', end=' ')
        k += 1
    print()
    i += 1

i = rows - 1
while i >= 0:
    j = 0
    while j < i:
        print('', end=' ')
        j += 1
    k = i
    while k <= rows - 1:
        print('*', end=' ')
        k += 1
    print('')
    i -= 1
Code language: Python (python)

Pant style pattern of stars

Pattern: –

****************
*******__*******
******____******
*****______*****
****________****
***__________***
**____________**
*______________*

Program: –

rows = 14
print("*" * rows, end="\n")
i = (rows // 2) - 1
j = 2
while i != 0:
    while j <= (rows - 2):
        print("*" * i, end="")
        print("_" * j, end="")
        print("*" * i, end="\n")
        i = i - 1
        j = j + 2Code language: Python (python)

Diamond-shaped pattern of stars

Pattern: –

        * 
       * * 
      * * * 
     * * * * 
    * * * * * 
   * * * * * * 
    * * * * * 
     * * * * 
      * * * 
       * * 
        * 

Program: –

rows = 5
k = 2 * rows - 2
for i in range(0, rows):
    for j in range(0, k):
        print(end=" ")
    k = k - 1
    for j in range(0, i + 1):
        print("* ", end="")
    print("")
    
k = rows - 2

for i in range(rows, -1, -1):
    for j in range(k, 0, -1):
        print(end=" ")
    k = k + 1
    for j in range(0, i + 1):
        print("* ", end="")
    print("")Code language: Python (python)

Another diamond pattern of star

Pattern: –

    *
   * *
  *   *
 *     *
*       *
 *     *
  *   *
   * *
    *

Program: –

rows = 5
i = 1
while i <= rows:
    j = rows
    while j > i:
        # display space
        print(' ', end=' ')
        j -= 1
    print('*', end=' ')
    k = 1
    while k < 2 * (i - 1):
        print(' ', end=' ')
        k += 1
    if i == 1:
        print()
    else:
        print('*')
    i += 1

i = rows - 1
while i >= 1:
    j = rows
    while j > i:
        print(' ', end=' ')
        j -= 1
    print('*', end=' ')
    k = 1
    while k <= 2 * (i - 1):
        print(' ', end=' ')
        k += 1
    if i == 1:
        print()
    else:
        print('*')
    i -= 1
Code language: Python (python)

Alphabets and letters pattern

In Python, there are ASCII values for each letter. To print the patterns of letters and alphabets, we need to convert them to their ASCII values.

  • Decide the number of rows
  • Start with ASCII number 65 ( ‘A’)
  • Iterate a loop and in nested for loop use the char function to convert ASCII number to its equivalent letter.

Let’ see now how to print alphabets and letters patterns in Python.

Pattern: –

A  
B C  
D E F  
G H I J  
K L M N O  
P Q R S T U  
V W X Y Z [ \ 

This pattern is knows as right-angled pattern with characters.

Program: –

# ASCII number of 'A'
ascii_number = 65
rows = 7
for i in range(0, rows):
    for j in range(0, i + 1):
        character = chr(ascii_number)
        print(character, end=' ')
        ascii_number += 1
    print(" ")Code language: Python (python)

Pattern to display letter of the word

Let’s see how to print word ‘Python’ in Pattern: –

P
Py
Pyt
Pyth
Pytho
Python

Program: –

word = "Python"
x = ""
for i in word:
    x += i
    print(x)
Code language: Python (python)

Equilateral triangle pattern of characters/alphabets

Pattern: –

            A  
           B C  
          D E F  
         G H I J  
        K L M N O  
       P Q R S T U  
      V W X Y Z [ \  

Program: –

print("Print equilateral triangle Pyramid with characters ")
size = 7
asciiNumber = 65
m = (2 * size) - 2
for i in range(0, size):
    for j in range(0, m):
        print(end=" ")
    m = m - 1
    for j in range(0, i + 1):
        character = chr(asciiNumber)
        print(character, end=' ')
        asciiNumber += 1
    print(" ")Code language: Python (python)

Pattern of same character

Pattern: –

V 
V V 
V V V 
V V V V 
V V V V V 

Program: –

# Same character pattern
character = 'V'
# convert char to ASCII
char_ascii_no = ord(character)
for i in range(0, 5):
    for j in range(0, i + 1):
        # Convert the ASCII value to the character
        user_char = chr(char_ascii_no)
        print(user_char, end=' ')
    print()Code language: Python (python)

Let’s see some more miscellaneous patterns

More miscellaneous Patterns

Pyramid of horizontal number tables

Pattern: –

1 
2 4 
3 6 9 
4 8 12 16 
5 10 15 20 25 
6 12 18 24 30 36 
7 14 21 28 35 42 49 
8 16 24 32 40 48 56 64 
9 18 27 36 45 54 63 72 81 
10 20 30 40 50 60 70 80 90 100 

Program: –

# Pyramid of horizontal tables of numbers
rows = 10
for i in range(1, rows + 1):
    for j in range(1, i + 1):
        print(i * j, end=' ')
    print()
Code language: Python (python)

Double the number pattern

Pattern: –

   1 
   2    1 
   4    2    1 
   8    4    2    1 
  16    8    4    2    1 
  32   16    8    4    2    1 
  64   32   16    8    4    2    1 
 128   64   32   16    8    4    2    1 

Note: In each column, every number is double it’s the preceding number.

Program: –

rows = 9
for i in range(1, rows):
    for j in range(-1 + i, -1, -1):
        print(format(2 ** j, "4d"), end=' ')
    print("")Code language: Python (python)

Random number pattern

   1 
   1    2    1 
   1    2    4    2    1 
   1    2    4    8    4    2    1 
   1    2    4    8   16    8    4    2    1 
   1    2    4    8   16   32   16    8    4    2    1 
   1    2    4    8   16   32   64   32   16    8    4    2    1 
   1    2    4    8   16   32   64  128   64   32   16    8    4    2    1 

Program: –

rows = 9
for i in range(1, rows):
    for i in range(0, i, 1):
        print(format(2 ** i, "4d"), end=' ')
    for i in range(-1 + i, -1, -1):
        print(format(2 ** i, "4d"), end=' ')
    print("")Code language: Python (python)

Pyramid of numbers less than 10

Pattern: –

1 
2 3 4 
5 6 7 8 9

Program: –

current_num = 1
stop = 2
rows = 3

for i in range(rows):
    for column in range(1, stop):
        print(current_num, end=' ')
        current_num += 1
    print("")
    stop += 2
Code language: Python (python)

Pyramid of numbers up to 10

Pattern: –

1 
2 3 
4 5 6 
7 8 9 10

Program: –

current_num = 1
rows = 4
stop = 2
for i in range(rows):
    for column in range(1, stop):
        print(current_num, end=' ')
        current_num += 1
    print("")
    stop += 1Code language: Python (python)

Even number pattern

Pattern: –

10 
10 8 
10 8 6 
10 8 6 4 
10 8 6 4 2

Programs: –

rows = 5
last_num = 2 * rows
even_num = last_num
for i in range(1, rows + 1):
    even_num = last_num
    for j in range(i):
        print(even_num, end=' ')
        even_num -= 2
    print("\r")
Code language: Python (python)

Unique pyramid pattern of digits

Pattern: –

1 
1 2 1 
1 2 3 2 1 
1 2 3 4 3 2 1 
1 2 3 4 5 4 3 2 1

Program: –

rows = 6
for i in range(1, rows + 1):
    for j in range(1, i - 1):
        print(j, end=" ")
    for j in range(i - 1, 0, -1):
        print(j, end=" ")
    print()
Code language: Python (python)

Pattern double number on each column

Pattern: –

0  
0  1  
0  2  4  
0  3  6   9  
0  4  8   12  16  
0  5  10  15  20  25  
0  6  12  18  24  30  36

Program: –

rows = 7
for i in range(0, rows):
    for j in range(0, i + 1):
        print(i * j, end='  ')
    print()Code language: Python (python)

Number reduction pattern

Pattern: –

1 2 3 4 5 
2 3 4 5 
3 4 5 
4 5 
5

Program: –

rows = 5
for i in range(0, rows + 1, 1):
    for j in range(i + 1, rows + 1, 1):
        print(j, end=' ')
    print()Code language: Python (python)

Pant style pattern of numbers

Pattern: –

5 4 3 2 1 1 2 3 4 5 

5 4 3 2     2 3 4 5 

5 4 3         3 4 5 

5 4             4 5 

5                 5

Program: –

rows = 6
for i in range(0, rows):
    for j in range(rows - 1, i, -1):
        print(j, '', end='')
    for l in range(i):
        print('    ', end='')
    for k in range(i + 1, rows):
        print(k, '', end='')
    print('\n')Code language: Python (python)

Pattern with a combination of numbers and stars

Pattern: –

1 * 2 * 3 * 4 

1 * 2 * 3 

1 * 2 

1

Program: –

row = 4
for i in range(0, row):
    c = 1
    print(c, end=' ')
    for j in range(row - i - 1, 0, -1):
        print('*', end=' ')
        c = c + 1
        print(c, end=' ')
    print('\n')
Code language: Python (python)

Also, see how to calculate the sum and average in Python.

Practice Problem

Pattern: –

0 
2 4 
4 8 8 
8 16 16 16

Solution: –

num = 4
counter = 0
for x in range(0, num):
    for y in range(0, x + 1):
        print(counter, end=" ")
        counter = 2 ** (x + 1)
    print()Code language: Python (python)

Next Steps

Solve:

  • Python Basic Exercise for Beginners
  • Python exercise for beginners
  • Python Quiz for beginners

If you don’t find the pattern you are looking for, let me know by leaving a comment and questions below.

Filed Under: Python, Python Basics

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About Vishal

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I’m Vishal Hule, the Founder of PYnative.com. As a Python developer, I enjoy assisting students, developers, and learners. Follow me on Twitter.

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