Write a file named `higher_lower.py` that plays a simple guessing game with you.

The computer will pick a number between 1 and 100, then give you a given number of guesses. If you guess right, it will say You win!. If you guess higher or lower than correct, it will say The number is higher than that. (or lower). If after the given number of guesses they still don’t know the number, print You lose; the number was x. where x was the number you were to guess.

Before the game begins,

1. Ask what number to pick. If they say −1, pick randomly; otherwise, use their number even if it is outside the 1–100 range. See lab 6 for a review of how to get a random integer by using the `random.randrange()` method.
2. Ask how many guesses they should have. You may assume they respond with a positive integer.

2 Example Invocations

An example run of the program might look like:

``````What should the answer be? 19
How many guesses? 9
Guess a number: 9
The number is higher than that.
Guess a number: 40
The number is lower than that.
Guess a number: 19
You win!``````

Another run might look like:

``````What should the answer be? -1
How many guesses? 5
Guess a number: 5
The number is higher than that.
Guess a number: 100
The number is lower than that.
Guess a number: 50
The number is lower than that.
Guess a number: 25
The number is lower than that.
Guess a number: 12
You lose; the number was 7.``````

(note: because the number is picked randomly, each `-1` game will be different)

3 Thought Question

Try adding a loop to ensure that the number of guesses is a positive number, asking again if it isn’t.

4 Troubleshooting

Every prompt of every `input` should end with a space character, for this and every other assignment that uses `input`.

You’ll want to use a loop. Both `for` and `while` can work.

You’ll need to keep going as long as both (a) the number of guesses is has not reached the maximum and (b) the correct guess has not been made.

• One approach: use an `and` in the `while` condition expression.

• One approach: have the loop repeat a fixed number of times (probably using `for`), and use a `break` inside it to exit early if they guess correctly.

There are four possible responses to a guess

• Win
• Lose
• Higher
• Lower

After each guess only one of the four should be displayed.