Which of the following algorithms can be improved using binary search?

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Q: Which of the following algorithms can be improved using binary search?

Solution: Finding the square root can be optimized using binary search to reduce the number of iterations.

Steps: 7

Step 1: Understand what binary search is. It is a method to find a specific value in a sorted list by repeatedly dividing the search interval in half.
Step 2: Identify the problem you want to solve. In this case, we want to find the square root of a number.
Step 3: Recognize that finding the square root can be thought of as finding a number that, when multiplied by itself, equals the original number.
Step 4: Set a range for the possible square root values. For example, if you want to find the square root of 16, your range would be from 0 to 16.
Step 5: Use binary search to narrow down the range. Check the middle value of your range, square it, and see if it is equal to, less than, or greater than the original number.
Step 6: Adjust your range based on the result. If the squared middle value is too low, move your lower bound up. If it is too high, move your upper bound down.
Step 7: Repeat the process until you find the square root or get very close to it.