# Problem A

Vector Functions

Your task is to implement the following C++ functions:

#include "vectorfunctions.h" // Reverse a vector. // Note that it is sent as a reference, so you should // reverse the same vector that was sent in. void backwards(vector<int>& vec){ ... } // Return every other element of the vector, starting with the first. // You should return a new vector with the answer. // You are not allowed to modify the vector, even though it is // sent as a reference. Therefore, the parameter is declared "const". vector<int> everyOther(const vector<int>& vec){ ... } // Return the smallest value of a vector. int smallest(const vector<int>& vec){ ... } // Return the sum of the elements in the vector. int sum(const vector<int>& vec){ ... } // Return the number of odd integers, that are also on an // odd index (with the first index being 0). int veryOdd(const vector<int>& vec){ ... }

The vectors sent has between $1$ and $100\, 000$ elements. Each number in the vector is between $-2000$ and $2000$.

## Template

You can download the above template as the file `vectorfunctions.cpp` in the Attachments menu.
When submitting your solution, send in *only this
file*.

## Testing

To test your program, you can download the file `vectorfunctions.h` in the menu to the left,
which contains examples that test your code. Place it in the
same folder as your program when compiling.