Program must be written in C++; The purpose of this lab is to practice working with vectors. ______________________________________________________________________________ Some notes about vectors: A vector is an object that contains a sequence of other objects inside it. The objects inside are all of the same type. They are numbered starting with 0. If the whole vector is called v then the items in it are written v[0], v[1], v[2], ... The last item is v[v.size()-1] NOT v[v.size()]. New items can be "pushed" onto the end of the vector. The last item can be "popped" off of a vector. Vectors can therefore change size. We can find out the current size of a vector: v.size() Vectors can be empty. If so v.empty() is true. If a vector is empty then v[i] and v.pop.... crash. Vectors are empty. by default, when created. Vectors should be passed by reference whenever possible. ______________________________________________________________________________ Write a program that reads an unknown number of integers from a data file called data.txt into a vector of integers named V. V is initially empty and grows as the user reads data from file. Once done copying data into vector V, you need to print the contents of V and perform some other tasks on the vector as described below. Your program should do the following: Create an empty vector of integers V. Read the integers from data.txt into V. You may assume data.txt contains the following numbers: 5 6 12 87 100 28 35 66 77 29 Ask the user to input a key. Then search for the key in vector V and inform the user about the existence (true / false) of the key in V. Print the contents of V.