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2. Sample Question:
Write a Python program to implement a binary search algorithm to
search for a given number in a sorted list.
Solution:
Explanation:
The binary search algorithm is used to search for a given number in
a sorted list. It works by dividing the list in half at each step, and
then searching only in the half of the list where the target number
could be. This reduces the search time significantly compared to a
linear search algorithm, which searches the entire list one element
at a time.
The solution above is a Python program that implements the binary
search algorithm. The program takes a sorted list 'arr', left and right
indices of the list, and the target number 'num' as inputs. It then
recursively divides the list in half until it finds the target number or
determines that the number is not in the list. Finally, it returns the
index of the target number or -1 if the number is not found.

3. def binary_search(arr, left, right, num):
if right >= left:
mid = left + (right - left) // 2
if arr[mid] == num:
return mid
elif arr[mid] > num:
return binary_search(arr, left, mid - 1, num)
else:
return binary_search(arr, mid + 1, right, num)
else:
return -1
arr = [2, 3, 4, 10, 40]
num = 10
result = binary_search(arr, 0, len(arr) - 1, num)
if result != -1:
print("Element is present at index", result)
else:
print("Element is not present in array")