# Python Code Example: floyd’s triangle

This Python code generates Floyd’s Triangle based on user input. Floyd’s Triangle is a right-angled triangular array of natural numbers.

## Code Example

``````n = int(input("Enter number of rows of floyd`s trangle: "))
k = 1

for i in range(1, n + 1):
for j in range(1, i + 1):
print(k, end=" ")
k = k + 1
print()``````

### Output

``````Enter number of rows of floyd`s trangle: 10
1
2 3
4 5 6
7 8 9 10
11 12 13 14 15
16 17 18 19 20 21
22 23 24 25 26 27 28
29 30 31 32 33 34 35 36
37 38 39 40 41 42 43 44 45
46 47 48 49 50 51 52 53 54 55 ``````

### Code Explanation

#### Input the Number of Rows

``n = int(input("Enter number of rows of Floyd's triangle: "))``
• The code prompts the user to input the number of rows for Floyd’s Triangle.
• The input is converted to an integer and stored in the variable `n`.

#### Initializing the First Number

``k = 1``
• The variable `k` is initialized to 1. This variable keeps track of the current number to be printed in the triangle.

#### Generating Floyd’s Triangle

``````for i in range(1, n + 1):
for j in range(1, i + 1):
print(k, end=" ")
k = k + 1
print()``````
• Outer Loop:`for i in range(1, n + 1)`
• This loop runs from 1 to `n` inclusive. Each iteration represents a row in Floyd’s Triangle.
##### Inner Loop
``````for j in range(1, i + 1):
print(k, end=" ")
k = k + 1``````
• Inner Loop:`for j in range(1, i + 1)`
• This loop runs from 1 to `i` inclusive, determining the number of elements in the current row.
• Printing the Number:`print(k, end=" ")`
• This line prints the current value of `k` followed by a space. The `end=" "` parameter ensures that the numbers are printed on the same line separated by spaces.
• Incrementing `k`:`k = k + 1`
• After printing the current value of `k`, `k` is incremented by 1 to prepare for the next number to be printed.
##### Moving to the Next Line
``print()``
• After the inner loop completes, `print()` is called to move to the next line. This ensures that each row of Floyd’s Triangle starts on a new line.

#### Example

If the user inputs `5` for `n`, the output will be:

``````1
2 3
4 5 6
7 8 9 10
11 12 13 14 15``````