def fibonacci_search(lis, key):
    # 
    F = [1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144,
         233, 377, 610, 987, 1597, 2584, 4181, 6765,
         10946, 17711, 28657, 46368]
    low = 0
    high = len(lis) - 1
    
    # 
    k = 0
    while high > F[k]-1:
        k += 1
    print(k)
    i = high
    while F[k]-1 > i:
        lis.append(lis[high])
        i += 1
    print(lis)
    
    #
    time = 0
    while low <= high:
        time += 1
        # 
        if k < 2:
            mid = low
        else:
            mid = low + F[k-1]-1
        
        print("low=%s, mid=%s, high=%s" % (low, mid, high))
        if key < lis[mid]:
            high = mid - 1
            k -= 1
        elif key > lis[mid]:
            low = mid + 1
            k -= 2
        else:
            if mid <= high:
                # 
                print("times: %s" % time)
                return mid
            else:
                print("times: %s" % time)
                return high
    print("times: %s" % time)
    return False
 

LIST = [1, 5, 7, 8, 22, 54, 99, 123, 200, 222, 444]
result = fibonacci_search(LIST, 444)
print(result)

python 斐波那契查找