Your task is to write a c program that utilizes radix sort to sort a list of $4-$byte integers. The integers can range from negative to positive values.

The program should not retrieve integer values from the command line. Instead, it should read in a count of integers to be entered$/$sorted; after this, based on the count, it should read in the corresponding number of integers.

Assume that the number of integers to be sorted will not exceed $100.$ Therefore, both your primary array $($the list of integers to be sorted$)$ and your buffer array $($the buckets used in radix sort$)$ should be initialized with a size of $100.$

The radix sort algorithm implemented should be a hexadecimal radix sort. This means the program should process $4$ bits at a time and use $16$ buckets for sorting. Submissions that do not adhere to this specification will not receive credit.

Once sorted, the program should print each integer in the sorted array on a separate line. The output should contain no text other than these integers. The following Bash script will be used to test your program. The script assumes that your output only includes the sorted integers, with no additional text. Make sure to align your program's output with this assumption to ensure accurate testing.