[Python] Coursera - Python for everybody - ex 5.2

For the following problem:
Write a program that repeatedly prompts a user for integer numbers until the user enters done.
Once 'done' is entered, print out the largest and smallest of the numbers.
If the user enters anything other than a valid number catch it with a try/except and put out an appropriate message and ignore the number.
Input Cases:
Enter 7, 2, bob, 10, and 4 and match the output below.

My program is not correctly showing the ans. What is problem here?

while True:
inp = input("Enter number: ")

if inp == "done":
print("done")
break
try:
inp_data = int(inp)
except:
print("Invalid input")
if smallest is None:
smallest = inp_data
elif inp_data < smallest:
smallest = inp_data
elif inp_data > largest:
largest = inp_data

print("largest", largest)
print("smallest", smallest)

Output:
Invalid input, Maximum is 10, Minimum is 2.
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