火车进站出栈问题

经典例题：
Train Problem I
火车按照给定顺序进站，判断是否可以按给定顺序出站,若能这输出YES.和 in，out的顺序和最后FINISH，否则输出NO.和FINISH
输入
3 123 321 //3列火车123，出站顺序为321，求火车进出站的顺序
3 123 312

输出
Yes.
in
in
in
out
out
out
FINISH
No.
FINISH

#include 
#include 
#include 
using namespace std;


int main()
{
    int n;
    char *s1;
    char *s2;
    cin >> n;
    s1 = new char[n];
    s2 = new char[n];
    cin >> s1 >> s2;
    stack<char> s;
    vector<int> v;//保存进出栈的序列
    int j = 0;
    for (int k = 0; k < n; k++)
    {
        s.push(s1[k]);
        v.push_back(1);
        while (!s.empty() && s.top() == s2[j])
        {
            v.push_back(0);
            s.pop();
            j++;
        }
    }
    if (s.empty())
    {
        cout << "YES" << endl;
        for (int k = 0; k < v.size(); k++)
        {
            if (v.at(k))
            {
                cout << "in" << endl;
            }
            else
            {
                cout << "out" << endl;
            }

        }
    }
    else
    {
        cout << "NO" << endl;
    }
    cout << "FINISH" << endl;
    delete[] s1;
    delete[] s2;
    system("pause");
    return 0;
}