## 1. How many times does the following loop execute?

`i = 0`

found = False

while i < 100 and found != True :

i = i + 1

print(i, end = " ")

j = i * i

if i * i * i % j == j :

found = True

`An infinite number of time`

- Initially,
`i`

is set to 0, and`found`

is set to False. - The loop condition
`i < 100 and found != True`

checks two conditions: whether`i`

is less than 100 and whether`found`

is not equal to True. - Inside the loop,
`i`

is incremented by 1 in each iteration (`i = i + 1`

). - Then,
`j`

is calculated as the square of`i`

. - The if condition
`if i * i * i % j == j`

is checked. This condition will always be true because`i * i * i`

is always divisible by`j`

(which is`i * i`

). - As a result,
`found`

is set to True. - However, since the loop condition checks both
`i < 100`

and`found != True`

, and`i`

is incremented in each iteration,`i`

will eventually reach a value greater than or equal to 100, but the loop will continue to execute because the condition`found != True`

remains true due to`found`

being set to True only after the if condition inside the loop.

Therefore, the loop will continue to execute infinitely.

## 2. Consider the following `while`

loop, write a `for`

loops that generates the same output?

`j = 10`

while j >= 5 :

print("X")

j = j - 1

`for j in range(10, 5, -1):`

print("X")

`range(10, 5, -1)`

:

- This creates a range starting from 10 (inclusive) down to 6 (exclusive) with a step of -1. It’s essentially equivalent to
`[10, 9, 8, 7, 6]`

.

2. `for j in range(10, 5, -1)`

:

- This initiates a
`for`

loop that iterates over each element in the range generated by`range(10, 5, -1)`

.

3. In each iteration of the loop:

- The variable
`j`

takes the value of the current element in the range, starting from 10 and decrementing by 1 in each iteration. - Inside the loop body,
`print("X")`

is executed, which…