$2\mathrm{.}2$ Develop a PHP program that reads a date within the range of January $1,2024,$ to December $31,2024,$ and outputs the corresponding day of the week.

$(10$ marks$)$

For instance, January $5,2024,$ falls on a Friday. Take note that the year $2024$ is a leap year. The input consists of two integers, $m$ and $d,$ separated by a single space in a line, where $m$ represents the month and d represents the day.

In the case of consecutive characters within a string, it is possible to compress the string by replacing them with a specific rule. For example, the string YYYYY can be expressed as # $5Y,$ compressing it by one character.

Create a PHP program that restores the original string by inputting the compressed string adhering to this rule.

However, the # character should not appear in the restored string. It is important to note that the original sentences consist of uppercase letters, lowercase letters, numbers, and symbols, with a length of less than $100$ characters.

Additionally, consecutive letters in the original string do not exceed nine letters.

Sample Output:

$88888888+1=100000000$ using html and php codes