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Binary Search Code (Code Needs To Be Copied Into Python)

townlist (Text Document Needed For Python File to Work)

Note: Make sure that townlist and the python file is in the same folder for the program to work. Remove/add comments where needed in order test out variants

**Binary Search: (GCSE & A-Level)**

The Binary Search is an efficient algorithm for finding an item in a sorted list. To perform a Binary Search, start at the middle item in the list and repeatedly divide the list in half. (Divide and Conquer approach).

*Simplified Explanation:*

- Start at the middle item in the list.
- If the middle item is the one to be found, the search us complete.
- If the item to found is lower than the middle item, discard all the items to the right.
- If the item to be found is higher than the middle item, discard all items to the left.
- Repeat from step 2 until you have found the item or there are no more items in the list.

**Binary Search in Python:**

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Advantages: |
Disadvantages: |

· Faster compared to a linear search | · Has to be a sorted list |

· Consistent number of loops/operations to find the search term |

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**Big O Notation of Binary Search (A-Level):**

Best Case: |
Average Case: |
Worst Case: |

· Constant | · Logarithmic | · Logarithmic |

· O(1) | · O(log n) | · O(log n) |

**Recursive Binary Search: (A-Level)**

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