検索アルゴリズムの挿入

def binary_search(lis, key):
    low = 0
    high = len(lis) - 1
    time = 0
    while low < high:
        time += 1
        #   mid           
        mid = low + int((high - low) * (key - lis[low]) / (lis[high] - lis[low]))
        if key < lis[mid]:
            high = mid - 1
        elif key > lis[mid]:
            low = mid + 1
        else:
            #        
            print("     : %s" % time)
            return mid
    return False
if __name__ == '__main__':
    LIST = [1, 5, 7, 8, 22, 54, 99, 123, 200, 222, 444]
    result = binary_search(LIST, 22)    #        
    print('         ：', result)