[algogeeks] Error in String Program

[sravan kumar]

Please can anybody tell me why nothing is printed
Here is my code.

#include <iostream>
#include <cstdio>
#include <string>
#include <cstdlib>
#include <algorithm>

using namespace std;

int main()
{
    string s,rt;
    cin >> s;
        long long int i,t = s.size();int c=0,sum=0;
        for ( i = 0; i < t; i++ ) {
        sum = (c+s[i]-'0')/2;
                rt[i] = sum+'0';
        c = (c+s[i]-'0')%2;
                if ( c == 1 ) {
                        c = (c*10);
                }
                sum = 0;
        }

    cout << rt;

    system("pause");
}

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