Linear vs Binary Search

線性搜尋 vs. 二分搜尋

二分搜尋（Binary Search）是一種高效的搜尋演算法，用於在已排序的串列（List）中尋找特定元素的位置或值。

Linear Search

def linear_search(list, key):
    """If key is in the list returns its position in the list,
       otherwise returns -1."""
    for i, item in enumerate(list):
        if item == key:
            return i
    return -1

Binary Search

def binary_search(list, key):
    """Returns the position of key in the list if found, -1 otherwise.

    List must be sorted.
    """

    # Sort the List
    list.sort()
    
    left = 0
    right = len(list) - 1
    while left <= right:
        middle = (left + right) // 2
        
        if list[middle] == key:
            return middle
        if list[middle] > key:
            right = middle - 1
        if list[middle] < key:
            left = middle + 1
    return -1