Vector Data Filtering

Create a program that implements a data filtering system to extract specific numbers from a collection. This challenge will test your ability to combine vectors, iteration, conditional logic, and function design to process data selectively.

The following inputs will be provided:

• An integer n representing the number of integers in the collection
• Then n integers representing the numbers to be filtered
• An integer threshold representing the minimum value for filtering

Your program should:

1. Create a function named filterNumbers that takes a std::vector<int> and an integer threshold as parameters
2. The function should return a new std::vector<int> containing only the numbers from the original vector that are greater than the threshold
3. In the main function, read the input values and populate a vector with the n integers
4. Call the filterNumbers function with the populated vector and threshold
5. Print the count of filtered numbers first, then print each filtered number on a separate line

Use the following exact output format:

First line - count of filtered numbers:

Filtered count: [number_of_filtered_elements]

Then each filtered number on separate lines:

[filtered_number_1]
[filtered_number_2]
...

If no numbers pass the filter, only print:

Filtered count: 0

Remember that your filterNumbers function should create a new empty vector, iterate through the input vector using a range-based for loop, and use an if-statement to check each number against the threshold. Only numbers that are strictly greater than the threshold should be added to the result vector using push_back(). The function should return the new vector containing only the filtered elements.