$($Name this program StuPreInputStats$)$ Write a program that takes any number of non$-$negative

integers as input, and output statistics on the data. A negative integer ends the input and is not

included in the statistics. The numbers are ratings on a recently released video game and should be in

the range of $[0,5].$ Assume there will be at least one rating input. The statistics generated by the

program should include the total number of ratings entered, and the number and percentage of each

of the following types of ratings:

$$ Liked: rating is $4$ or $5$

$$ Neutral: rating is $3$

$$ Disliked: rating is in $0$ ~ $2$

$$ Invalid: $>5.$ Invalid data may exist due to input errors.

Here is a sample run of this program $($green italic text indicates user input$)$:

Please enter the ratings $($end with a negative value$)$:

$451034654734542-2$

Total # of ratings: $15$

Positive ratings $(4$~$5)$: $8(53\%)$

Neutral ratings $(3)$: $2(13\%)$

Negative ratings $(0$~$2)$: $3(20\%)$

Invalid ratings $(>5)$: $2(13\%)$

Another sample run with data entered one at a line:

Please enter the ratings $($end with a negative value$)$:

$4$

$5$

$1$

$0$

$3$

$4$

$6$

$5$

$4$

$7$

$3$

$4$