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  1. AP Computer Science Principles
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What does the following code output?

python
list = [2, 5, 7, 8, 11, 12]
target = 13
low = 0
high = len(list) - 1
while low <= high:
 mid = (low + high) // 2
 if list[mid] == target:
 print("Found")
 break
 elif list[mid] < target:
 low = mid + 1
 else:
 high = mid - 1
else:
 print("Not Found")

Not Found

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What does the following code output?

python
list = [2, 5, 7, 8, 11, 12]
target = 13
low = 0
high = len(list) - 1
while low <= high:
 mid = (low + high) // 2
 if list[mid] == target:
 print("Found")
 break
 elif list[mid] < target:
 low = mid + 1
 else:
 high = mid - 1
else:
 print("Not Found")

Not Found

What does the following code output?

python
list = [2, 5, 7, 8, 11, 12]
target = 8
low = 0
high = len(list) - 1
while low <= high:
 mid = (low + high) // 2
 if list[mid] == target:
 print("Found")
 break
 elif list[mid] < target:
 low = mid + 1
 else:
 high = mid - 1
else:
 print("Not Found")

Found

Identify the error in the following code:

python
def binary_search(list, target):
 low = 0
 high = len(list) - 1
 while low < high:
 mid = (low + high) // 2
 if list[mid] == target:
 return mid
 elif list[mid] < target:
 low = mid + 1
 else:
 high = mid - 1
 return -1

The code will enter an infinite loop if the target is not found because the condition low < high will not become false, and it does not handle the case when low == high. It should be low <= high.

What does the following code output?

python
list = [1, 3, 5, 7, 9]
target = 4
low = 0
high = len(list) - 1
while low <= high:
 mid = (low + high) // 2
 if list[mid] == target:
 print("Found")
 break
 elif list[mid] < target:
 low = mid + 1
 else:
 high = mid - 1
else:
 print("Not Found")

Not Found

What does the following code output?

python
list = [1, 3, 5, 7, 9]
target = 1
low = 0
high = len(list) - 1
while low <= high:
 mid = (low + high) // 2
 if list[mid] == target:
 print("Found")
 break
 elif list[mid] < target:
 low = mid + 1
 else:
 high = mid - 1
else:
 print("Not Found")

Found

Identify the error in the following code:

python
def binary_search(list, target):
 low = 0
 high = len(list)
 while low <= high:
 mid = (low + high) // 2
 if list[mid] == target:
 return mid
 elif list[mid] < target:
 low = mid + 1
 else:
 high = mid - 1
 return -1

IndexError: list index out of range. high = len(list) should be high = len(list) - 1

What does the following code output?

python
list = [1, 2, 3, 4, 5]
target = 6
low = 0
high = len(list) - 1
while low <= high:
 mid = (low + high) // 2
 if list[mid] == target:
 print("Found")
 break
 elif list[mid] < target:
 low = mid + 1
 else:
 high = mid - 1
else:
 print("Not Found")

Not Found

What does the following code output?

python
list = [1, 2, 3, 4, 5]
target = 1
low = 0
high = len(list) - 1
while low <= high:
 mid = (low + high) // 2
 if list[mid] == target:
 print("Found")
 break
 elif list[mid] < target:
 low = mid + 1
 else:
 high = mid - 1
else:
 print("Not Found")

Found

Identify the error in the following code:

python
def binary_search(list, target):
 low = 0
 high = len(list) - 1
 while low < high:
 mid = (low + high) // 2
 if list[mid] == target:
 return mid
 elif list[mid] < target:
 low = mid + 1
 else:
 high = mid - 1
 return -1

The while loop condition low < high should be low <= high to correctly handle the case when the target is the last element.

What does the following code output?

python
list = [1, 5, 9, 13, 17]
target = 9
low = 0
high = len(list) - 1
while low <= high:
 mid = (low + high) // 2
 if list[mid] == target:
 print("Found")
 break
 elif list[mid] < target:
 low = mid + 1
 else:
 high = mid - 1
else:
 print("Not Found")

Found

What are the steps of Binary Search?

  1. Sort the list. 2. Find the middle element. 3. Compare with the target. 4. Eliminate half the list. 5. Repeat until found or not found.

What are the steps to prepare a list for binary search?

  1. Ensure the list exists. 2. Populate the list with data. 3. Sort the list in ascending or descending order.

What is the process of narrowing the search space in binary search?

  1. Compare the target with the middle element. 2. If target is greater, set low to mid + 1. 3. If target is smaller, set high to mid - 1.

What are the steps to determine if a target is 'not found' in binary search?

  1. Continue dividing and comparing until low > high. 2. If low > high, the target is not in the list. 3. Return a 'not found' indicator (e.g., -1).

What are the initial steps in implementing binary search?

  1. Get the sorted list. 2. Define the target value. 3. Initialize low to 0 and high to len(list) - 1.

What are the steps to find middle element?

  1. Sum low and high index. 2. Divide sum by 2. 3. Take the integer part of the result.

What are the steps to compare target with the middle element?

  1. Check if target equals middle element. 2. If equal, the target is found. 3. If not equal, proceed to eliminate half of the list.

What are the steps to eliminate half of the list?

  1. If target > middle element, set low = mid + 1. 2. If target < middle element, set high = mid - 1.

What are the steps to repeat the binary search process?

  1. Check if low <= high. 2. If true, repeat steps to find the middle element and compare. 3. If false, target is not found.

What are the steps to handle the 'target found' scenario?

  1. Return the index of the middle element. 2. Terminate the search. 3. Optionally, perform additional actions (e.g., print a message).

How is Binary Search applied in real-world scenarios?

Searching for a word in a dictionary, finding a contact in a sorted phone book, or locating data in a sorted database index.

Give an example of using Binary Search in a database system.

Finding a specific record by ID in a sorted index of a database table.

How is Binary Search used in version control systems?

Identifying the commit where a bug was introduced using a process similar to binary search (bisecting).

How is Binary Search applied in searching for a value in a sorted array?

Efficiently locating a specific number in a sorted array of integers or floating-point numbers.

How is Binary Search used in searching for a file on a sorted file system?

Quickly finding a file by name in a sorted directory structure.

How is Binary Search utilized in finding a specific entry in a sorted configuration file?

Efficiently locating a configuration setting in a sorted configuration file.

How is Binary Search applied in finding a specific page in a sorted index of a book?

Quickly locating a page number in a sorted index of a book.

How is Binary Search used in searching for a value within a specific range?

Efficiently finding a value that falls within a specified range in a sorted dataset.

How is Binary Search applied in searching for a specific item in a sorted inventory list?

Quickly locating an item by its unique identifier in a sorted inventory list.

How is Binary Search used in searching for a specific record in a sorted log file?

Efficiently finding a log entry by timestamp in a sorted log file.