Describe your program here. You must describe your program

$3.$ Write a Python program that asks the user to enter a number between $100$ and $500$ inclusive.

Make sure the number entered by the user is in the given range. If the user$-$entered number is not in the range,

display an appropriate message to the user and repeatedly ask the user to enter a number in the range.

If the number is in the range but not equal to a computer$-$generated random number, assist the user by telling them

to guess higher or lower three times including the first attempt.

If the user did not win on the third attempt, display a message based on the following criteria.

$->$ random number $==$ user number; they win $$10,000$ in lottery.

$->$ random number $-$ user number $<100$; they win $$7,000$ in lottery.

$->$ random number $-$ user number $<200$; they win $$5,000$ in lottery.

$->$ random number $-$ user number $<300$; they win $$3,000$ in lottery.

$->$ random number $-$ user number $<400$; they win $$1,000$ in lottery.

$->$ random number $-$ user number $>=400$; You didn't win; please try again.

Allow the user to play again as much as they like.

Input:

Enter a number between $100$ and $500$ to win lottery: a

Output:

Your input is invalid.

Enter a number between $100$ and $500$ to win lottery: $100$

Input:

Enter a number between $100$ and $500$ to win lottery: $50$

Output:

You entered a number out of range.

Enter a number between $100$ and $500$ to win lottery: $100$

Output:

You won $\{$amount$\}$ in lottery.

Do you wish to play the game again? $($y or n$)$:

or

Sorry, You did not win; please try again.

Do you wish to play the game again? $($y or n$)$:

Use must use variables such as choice, user$\_$number, amount, random$\_$number, etc.

Hint: You will need to validate the user$\_$number.

$"""$

import random

import math

choice $="$y$"$

# Write your code below this line