testing program for bijection problem

bijection.cpp

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

string translate(string input, string translation)
{
    string output = "ABCDEF0123456789";
    for(int i=0; i<input.length(); i++)
    {
        if(input[i] > '9')
        {
            output[i] = translation[input[i]-'A'];
        }
        if(input[i] < 'A')
        {
            output[i] = translation[(input[i] - '0')+6];
        }
    }
    return output;
}

int main()
{
    string input  = "AE9B5417C362D8F0";
    string translation;
    getline(cin, translation);
    string output = translate(input, translation);
    cout << "0:" << output << endl;
    int n = 1;
    while(input != output)
    {
        output = translate(output, translation);
        n++;
        cout << n << ":" << output << endl;
    }
    cout << n;
    return 0;
}