Please write the C++ code. Follow all instructions when writing the code. Please answer question at the end as well

PART 1: OUT OF RANGE ERROR In C++, the fundamental type of int on the PACE-ICE system uses 32 bits to represent an integer; however, you can extend this to 64 bits by using another fundamental type in C++ called long int. (Please note that these sizes can vary from platform to platform and are not guaranteed in the C++ standard which we will talk about in class.) NOTE: On Windows/Visual Studio, an int is the same as a long int and you'll instead need to use long long int to get a 64bit integer. I would like for you to write a program to calculate the results of 5" for n 1,2, 3, 4,... using first the int type and then the long int type. Please empirically show the maximum value of n that can still store the results of 5" in an int, and long int variables without overflow. In addition to the main() function, to get practice using global functions, I would like for you to create four global functions to calculate the value of 5". These two global functions should have one argument that is an int n. The first should return an int, and the second should return a long int so that you can compare the ranges of these two data types. In your Labl folder, please call your source code lab1part1.cc. Sample output for this program up to 5 is shown below Please follow this output format; until one step past the maximum value 5 to the n power results using int 5 25 5'= 125 5 to the n power results using long int 5 25 5 125 Problem 1: OUT OF RANGE ERROR Please turn in a program that shows what the largest factorial number you can exactly calculate. The largest factorial that can be represented with regular int type is The largest factorial that can be represented with a long int type is