Make an application that:

Opens the input file called log$.$txt $",$ reads it and stores the data in a vector.

Sorts the information by date $/$ time to perform searches.

You CANNOT use the vector sort, you must implement the Sorting algorithm.

Ask the user for the start and end dates of the information search. $($first receives an integer representing the month, from $1$ to $12,$ then another integer representing the day$)$

Displays the records corresponding to those dates. $($to standard output in ascending order $($by date$))$

Stores the result of the sorting in a file. $($the output file must be called sorted.txt$,$ respecting the order of the columns$)$

The input file "log.txt$"$ must be included in the same path where your "main.cpp$"$ file is located.

The output file "sorted.txt$"$ must be generated in the same path where the "main.cpp$"$ file is located and executed. "main.cpp$".$

To obtain $100\%$ of the points for this activity, it is divided into:

$-$ Correctly fulfill the functionality required by the activity:

$-$ Reading data from the corresponding file.

$-$ Sorts the data correctly.

$-$ Correctly performs the information search..

$-$ The program must compile and run WITHOUT using libraries in a Linux environment $($g$++$ main.cpp $./$a$.$out$)$