In the previous article, we have discussed Python Program for Maximum Number of Squares that Can Fit in a Right Angle Isosceles Triangle

Given a number x, which is the floor of the matchstick pyramid and the task is to find the number of matchsticks needed to form a pyramid of matchsticks of x floors.

**Formula:**

(3*x*(x+1))/2

**Examples:**

**Example1:**

**Input:**

Given number of floors = 3

**Output:**

The Number of matchsticks needed to form a pyramid of matchsticks : 18

**Example2:**

**Input:**

Given number of floors = 5

**Output:**

The Number of matchsticks needed to form a pyramid of matchsticks : 45

## Program for Triangular Matchstick Number in Python

Below are the ways to find the number of matchsticks needed to form a pyramid of matchsticks of x floors:

### Method #1: Using Mathematical Formula (Static Input)

**Approach:**

- Give the number as static input and store it in a variable.
- Create a function to say
**count_MatchSticks****()**which takes the given number as an argument and returns the count of the number of matchsticks needed to form a pyramid of matchsticks for a given number of floors. - Inside the function, calculate the number of matchsticks needed using the above given mathematical formula and store it in a variable.
- Return the above result.
- Pass the given number as an argument to the
**count_MatchSticks****()**function, convert it into an integer using the int() function and print it. - The Exit of the Program.

**Below is the implementation:**

# Create a function to say count_MatchSticks() which takes the given number as an # argument and returns the count of the number of matchsticks needed to form a # pyramid of matchsticks for a given number of floors. def count_MatchSticks(no_floors): # Inside the function, calculate the number of matchsticks needed using the above # given mathematical formula and store it in a variable. no_sticks = (3 * no_floors * (no_floors + 1)) / 2 # Return the above result. return no_sticks # Give the number as static input and store it in a variable. no_floors = 3 print("The Number of matchsticks needed to form a pyramid of matchsticks :") # Pass the given number as an argument to the count_MatchSticks() function, convert # it into an integer using the int() function and print it. print(int(count_MatchSticks(no_floors)))

**Output:**

The Number of matchsticks needed to form a pyramid of matchsticks : 18

### Method #2: Using Mathematical Formula (User Input)

**Approach:**

- Give the number as user input using the int(input()) function and store it in a variable.
- Create a function to say
**count_MatchSticks****()**which takes the given number as an argument and returns the count of the number of matchsticks needed to form a pyramid of matchsticks for a given number of floors. - Inside the function, calculate the number of matchsticks needed using the above given mathematical formula and store it in a variable.
- Return the above result.
- Pass the given number as an argument to the
**count_MatchSticks****()**function, convert it into an integer using the int() function and print it. - The Exit of the Program.

**Below is the implementation:**

# Create a function to say count_MatchSticks() which takes the given number as an # argument and returns the count of the number of matchsticks needed to form a # pyramid of matchsticks for a given number of floors. def count_MatchSticks(no_floors): # Inside the function, calculate the number of matchsticks needed using the above # given mathematical formula and store it in a variable. no_sticks = (3 * no_floors * (no_floors + 1)) / 2 # Return the above result. return no_sticks # Give the number as user input using the int(input()) function and store it in a variable. no_floors = int(input("Enter some random number = ")) print("The Number of matchsticks needed to form a pyramid of matchsticks :") # Pass the given number as an argument to the count_MatchSticks() function, convert # it into an integer using the int() function and print it. print(int(count_MatchSticks(no_floors)))

**Output:**

Enter some random number = 5 The Number of matchsticks needed to form a pyramid of matchsticks : 45

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