Backspace String Compare

Given two strings s and t, return true if they are equal when both are typed into empty text editors. '#' means a backspace character.

Note that after backspacing an empty text, the text will continue empty.

class Solution {
public:
    bool backspaceCompare(string s, string t)
    {
        stack<char>s1,t1;
        for(int i=0;i<s.size();i++)
        {
            if(s[i]=='#')
            {
                   if(!s1.empty())
                {
                      s1.pop();
                }
            }
            else
            {
                s1.push(s[i]);
            }
        }
        for(int i=0;i<t.size();i++)
        {
            if(t[i]=='#')
            {
                if(!t1.empty())
                {
                      t1.pop();
                }
            }
            else
            {
                t1.push(t[i]);
            }
        }
        if(s1==t1)
        {
            return true;
        }
        return false;
    }
};