The differences in output between the two while loops are due to the different assignments of values to variables x and y within each loop.
Let's examine each loop and its behavior:
First while loop:
def fib(n):
x = 0
y = 1
while y < n:
print(y)
x = y
y = x + y
In this loop, the initial values of x and y are set to 0 and 1, respectively. Inside the loop, the value of y is printed, then the values of x and y are updated. However, the line y = x + y assigns the sum of x and y to y, which leads to incorrect Fibonacci sequence generation. Instead, it should assign the previous value of y to x and the sum of the previous values of x and y to y.
Second while loop:
x, y = 0, 1
while y < 100:
print(y)
x, y = y, x + y
In this loop, the values of x and y are simultaneously updated in a single line using a technique called tuple unpacking. Here, the value of x is assigned the current value of y, and the value of y is assigned the sum of the previous values of x and y. This ensures that the Fibonacci sequence is generated correctly.
To fix the first while loop and make it produce the Fibonacci sequence correctly, you can modify the assignment of x and y as follows:
def fib(n):
x = 0
y = 1
while y < n:
print(y)
x, y = y, x + y
With this modification, both while loops will generate the Fibonacci sequence as expected.