Python猜谜游戏练习-对描述和数学感到困惑

这个练习基于一个猜谜游戏，用户（你）输入一个下限和上限int，然后PC在这些边界内选择一个随机数。你的工作是猜测（最好是在中间），程序会告诉用户你的猜测是大于、小于或等于电脑选择的数字。记录尝试次数。

代码如下：

import random

smaller = int(input("Enter the smaller number: "))
larger = int(input("Enter the larger number: "))
myNumber = random.randint(smaller, larger)

count = 0
while True:
   count += 1
   userNumber = int(input("Enter your guess: "))
   if userNumber < myNumber:
       print("Too small!")

   elif userNumber > myNumber:
       print("Too large!")

   else:
       print("Congratulations! You've got it in", count, "tries!")
       break

以下是示例输出：

#Output example
Enter the smaller number: 1
Enter the larger number: 100
Enter your guess: 50
Too small!
Enter your guess: 75
Too large!
Enter your guess: 63
Too small!
Enter your guess: 69
Too large!
Enter your guess: 66
Too large
Enter your guess: 65
You've got it in 6 tries!

下面是练习说明：

修改猜谜游戏程序，让用户想到计算机必须猜的数字。

计算机的猜测次数不得超过最小值，并且必须防止用户通过输入误导性提示来作弊。

使用I'm out of guesses, and you cheated和Hooray, I've got it in X tries作为最终输出。

（提示：使用math.log函数计算输入下限和上限后所需的最小猜测次数。）“

以下是我应该能够复制的两个示例输出：

Enter the smaller number: 0
Enter the larger number: 10

0 10
Your number is 5
Enter =, <, or >: <
0 4
Your number is 2
Enter =, <, or >: >
3 4
Your number is 3
Enter =, <, or >: =
Hooray, I've got it in 3 tries!

和

Enter the smaller number: 0
Enter the larger number: 50
0 50
Your number is 25
Enter =, <, or >: <
0 24
Your number is 12
Enter =, <, or >: <
0 11
Your number is 5
Enter =, <, or >: <
0 4
Your number is 2
Enter =, <, or >: <
0 1
Your number is 0
Enter =, <, or >: >
1 1
Your number is 1
Enter =, <, or >: >
I'm out of guesses, and you cheated!

现在是我的代码：

from math import log2

#get the lower and upper bounds that the PC can guess between
smaller = int(input("Enter the smaller number: "))
larger = int(input("Enter the larger number: "))

#this should calculate the maximum number of tries the PC can do
max_tries = round(log2(larger-smaller+1))
print("PC should guess in no more than %s tries\n" % max_tries)

count = 0
while count <= max_tries:
    count += 1
    pc_guess = (larger+smaller) // 2 #This is the PC's guess
    print("%d %d" % (smaller, larger)) #boundry
    print("Your number is ", pc_guess) #printing PC's guess

    op = input("Enter =, <, or >: ") #giving PC more info
    
    if op == '<':
        larger = pc_guess - 1

    elif op == '>':
        smaller = pc_guess + 1

    elif op == '=':
        print("Hooray I've got it in", count, "tries")#PC guessing correct
        break

if count > max_tries:
    print("I'm out of guesses, and you cheated")

我对这个练习的思考是否正确？

Furthermore, I don't underst和 how to get the PC to get the right answer in "no more than the minimum number of guesses," which I calculated as log2(larger-smaller+1) in my code. Calculating the average of the upper 和 lower bound still results in greater tries than the log2 result.

此外，我是否正确计算了电脑的最佳猜测（平均计算）？