Project3

#include <iostream>
#include <vector>
#include <string>
using namespace std;

int main()
{
    int idSchool;
    string binary;
    cout << "First we'll test converting an integer to base 2...";
    cout << "\nPlease input your school ID #: ";
    cin >> idSchool;
    if (idSchool > 0) ///Check if integer inputed is positive
    {
        cout << "Number larger than 0 inputed, continuing..." << endl;
    }
    else
    {
        cout << "Integer smaller than 0, please input a larger integer." << endl;
        return 0;
    }
    while (idSchool!=0)
    {
        binary=char(48+idSchool%2)+binary;
        idSchool/=2;
    }
    cout << "Student ID converted to base 2: " << binary;
    long long unsigned int baseNinety;
    string encryptCode;
    cout << "\nEnter your student ID again: ";
    cin >> baseNinety;
    int baseninetyCompare; ///keep student number in memory for compare against reverse
    baseninetyCompare=baseNinety; ///compare value set to original student number
    baseNinety*=baseNinety; ///square student ID
    while(baseNinety>0)
    {
        encryptCode=char(33+baseNinety%90)+encryptCode;
        baseNinety/=90;
    }
    cout << "Encrypted code: " << encryptCode;
    int reverseEncrypt; ///reverse attempt
    cout << "\nInput the encrypted code to be reversed (copy and paste): ";
    cin >> reverseEncrypt;
    /// I'm stuck here ******************************************************************
}
/*
For example, suppose your student number is 123456. Then the square is
15241383936 = 169348710 · 90 + 36
= (1881652 · 90 + 30) · 90 + 36
= ((20907 · 90 + 22) · 90 + 30) · 90 + 36
= (((232 · 90 + 27) · 90 + 22) · 90 + 30) · 90 + 36
= ((((2 · 90 + 52) · 90 + 27) · 90 + 22) · 90 + 30) · 90 + 36
= (((((0 · 90 + 2) · 90 + 52) · 90 + 27) · 90 + 22) · 90 + 30) · 90 + 36
Now the remainders are, in reverse order, 2,52,27,22,30 and 36. These need to be increased by 33, to get our
ascii values: 35,85,60,55,63,69, which correspond to the string of ascii characters #U<7?E. So that would be
the encrypted student number.

Now write code to check your result by reversing it, so we can recover the student number in base 10 from the
encrypted version of its square. (Not a very secure encryption, is it?)

Submit your code as <your initials> encryptSID.cpp by 3/1/16.
*/