In a modify task you take code that already works and adapt it so that it does something else.

The editor starts you off with a program that asks for two numbers and reports which of them is bigger:

print("Please enter a number")
number1 = int(input())
print("Please enter another number")
number2 = int(input())

if number1 > number2:
    print("Number 1 is bigger than number 2")
elif number2 > number1:
    print("Number 2 is bigger than number 1")
else:
    print("Both numbers are the same")

Your task

Adapt the code so that it works with three numbers instead of two.

• Add code that asks the user for a third number, with its own print followed by an input() on the next line, exactly like the two questions that are already there. It has to come after those two questions, so that the three numbers arrive in the order first, second, third. Cast the answer with int() the same way the other two lines do.
• Leave the existing selection statement alone: the first result line still compares the first number with the second one.
• Add a second if / elif / else statement that compares the third number with the first one.
• Add a third if / elif / else statement that compares the third number with the second one.

Ask the new question with its own print, exactly as written:

Please enter a third number

The output

Your program prints the three questions, in the order they are asked, followed by three result lines, one from each selection statement.

The three questions are these, the first two already printed by the starter code and the third the one you add:

Please enter a number
Please enter another number
Please enter a third number

The first result line is the one the starter code already prints, one of:

Number 1 is bigger than number 2
Number 2 is bigger than number 1
Both numbers are the same

The second result line reports the third number against the first, and must be worded exactly like this:

Number 3 is bigger than number 1
Number 3 is smaller than number 1
Number 3 is the same as number 1

The third result line reports the third number against the second, and must be worded exactly like this:

Number 3 is bigger than number 2
Number 3 is smaller than number 2
Number 3 is the same as number 2

All three questions and all three result lines are part of the checked output.

Example

Input:

3
7
9

Output:

Please enter a number
Please enter another number
Please enter a third number
Number 2 is bigger than number 1
Number 3 is bigger than number 1
Number 3 is bigger than number 2

Input:

6
2
6

Output:

Please enter a number
Please enter another number
Please enter a third number
Number 1 is bigger than number 2
Number 3 is the same as number 1
Number 3 is bigger than number 2

Input:

5
5
5

Output:

Please enter a number
Please enter another number
Please enter a third number
Both numbers are the same
Number 3 is the same as number 1
Number 3 is the same as number 2