Codio Python Challenge Activity The Fibonacci Sequence Is The Series Of Numbers: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, … The Next Number Is Found By Adding Up The Two Numbers Before It. We Start Of With 0 And 1 The First 1 In The Above List Is Found By Adding The Previous 2 Numbers (0+1) The 2 Is Found By Adding The Two Numbers Before It (1+1) Similarly, The 3 Is
Codio Python Challenge Activity

The Fibonacci Sequence is the series of numbers:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, …
The next number is found by adding up the two numbers before it.
We start of with 0 and 1
The first 1 in the above list is found by adding the previous 2 numbers (0+1)
The 2 is found by adding the two numbers before it (1+1)
Similarly, the 3 is found by adding the two numbers before it (1+2),
And the 5 is (2+3)
and so on!

We will pass in a value N. Write a program that outputs the complete Fibonacci sequence for N iterations.

Important: If N is 0, then we expect to get an output of 0. If N=1 then we expect 0, 1 etc.

Get N from the command line

import sys
N= int(sys.argv[1])

Your code goes here

The correct answer and explanation is:

To solve the Fibonacci sequence challenge, the idea is simple: The Fibonacci sequence is built by adding the two preceding numbers to form the next number. We start with the initial two numbers: 0 and 1. Each subsequent number is the sum of the previous two numbers.

Here’s how we can approach the solution:

Explanation:

1. Starting point: The first two numbers in the Fibonacci sequence are defined as 0 and 1.
2. Subsequent numbers: From the third number onward, each number is the sum of the two preceding numbers.
3. Edge case: If N is 0, the output should be just 0 (since there are no iterations to generate additional numbers).
4. Output: We need to output the Fibonacci sequence up to the Nth term.

Plan:

1. We will take the input value N from the command line using sys.argv[1].
2. For N = 0, we will output 0.
3. For N = 1, we will output the first two numbers: 0, 1.
4. For N > 1, we will generate the Fibonacci sequence by iterating and summing the last two numbers to form the next number in the sequence.

Python Code:

import sys

# Get N from the command line argument
N = int(sys.argv[1])

# Handle edge cases
if N == 0:
    print(0)
elif N == 1:
    print(0, 1)
else:
    # Initialize the first two Fibonacci numbers
    fib_sequence = [0, 1]

    # Generate the Fibonacci sequence for N iterations
    for i in range(2, N):
        # Append the next Fibonacci number (sum of the last two numbers)
        fib_sequence.append(fib_sequence[-1] + fib_sequence[-2])

    # Print the complete Fibonacci sequence up to N terms
    print(*fib_sequence)

Explanation of the Code:

1. Input Handling:
   • We use sys.argv[1] to get the value of N passed via the command line. This allows us to handle any size of the Fibonacci sequence based on user input.
2. Edge Case Handling:
   • If N = 0, the program simply prints 0 as there are no further iterations.
   • If N = 1, it prints the first two Fibonacci numbers: 0 and 1.
3. Generating Fibonacci Numbers:
   • For N > 1, we initialize the list fib_sequence with the first two numbers [0, 1].
   • We then use a for loop starting from index 2 to calculate each subsequent Fibonacci number. Each number is the sum of the last two numbers in the list, i.e., fib_sequence[-1] + fib_sequence[-2].
4. Output:
   • Once the sequence is generated, we print it using print(*fib_sequence). The * unpacks the list so that the numbers are printed with a space between them.

Example:

If the user provides N = 6, the sequence will be:
0, 1, 1, 2, 3, 5

Explanation of the Fibonacci Sequence:

• Start: The sequence starts with 0 and 1.
• Next Numbers: Each subsequent number is the sum of the previous two:
  • 1 = 0 + 1
  • 2 = 1 + 1
  • 3 = 1 + 2
  • 5 = 2 + 3
• Continue: This process continues until the desired number of iterations (N).

Time Complexity:

• The time complexity of generating the Fibonacci sequence is O(N) because we are iterating over the sequence and generating each Fibonacci number once.

By using the above approach, we can efficiently generate and print the Fibonacci sequence for any given number of iterations, N.