As the new term comes, the Ignatius Train Station is very busy nowadays. A lot of student want to get back to school by train(because the trains in the Ignatius Train Station is the fastest all over the world ^v^). But here comes a problem, there is only one railway where all the trains stop. So all the trains come in from one side and get out from the other side. For this problem, if train A gets into the railway first, and then train B gets into the railway before train A leaves, train A can‘t leave until train B leaves. The pictures below figure out the problem. Now the problem for you is, there are at most 9 trains in the station, all the trains has an ID(numbered from 1 to n), the trains get into the railway in an order O1, your task is to determine whether the trains can get out in an order O2.

The input contains several test cases. Each test case consists of an integer, the number of trains, and two strings, the order of the trains come in:O1, and the order of the trains leave:O2. The input is terminated by the end of file. More details in the Sample Input.

The output contains a string "No." if you can‘t exchange O2 to O1, or you should output a line contains "Yes.", and then output your way in exchanging the order(you should output "in" for a train getting into the railway, and "out" for a train getting out of the railway). Print a line contains "FINISH" after each test case. More details in the Sample Output.

3 123 321
3 123 312

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

Hint
Hint
 
For the first Sample Input, we let train 1 get in, then train 2 and train 3.
So now train 3 is at the top of the railway, so train 3 can leave first, then train 2 and train 1.
In the second Sample input, we should let train 3 leave first, so we have to let train 1 get in, then train 2 and train 3.
Now we can let train 3 leave.
But after that we can‘t let train 1 leave before train 2, because train 2 is at the top of the railway at the moment.
So we output "No.".

Ignatius.L

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题目说了这么多，其实就是一个简单的堆栈问题，读入数字n，读取两个字符串，字符串1是入栈的顺序，字符串2要求是出栈的顺序!

入栈的顺序不变，但是中途入栈的元素可以出栈，看是否能够满足字符串2的出栈顺序，如果可以输出Yes.然后把里面的入栈出栈的顺序

全部写出来，我这里是看了网友的写法，觉得实在是很好，用了C++STL库里面的stack，Java没有类似这样的stack的类库......如果用Java

写的话还得重新写push,pop,top,empty方法，果断c++走起！

#include<cstdio>
#include<cstring>
#include<stack>
#include<iostream>
using namespace std;
int main()
{
    int n,j, k, flag[50];                         //flag数组记录入栈出栈顺序
    char s1[15], s2[15];                        
    stack <char> s;
    while(~scanf("%d %s%s",&n,s1,s2))
    {
        while(!s.empty()) s.pop();
        memset(flag,-1,sizeof(flag));
        j = k = 0;
        for(int i=0;i<n;i++)
        {
            s.push(s1[i]);
            flag[k++]=1;
            while(!s.empty()&&s.top()==s2[j])      //如果栈不为空并且栈顶元素等于当前出栈的元素！
            {
                s.pop();                           //出栈
                flag[k++]=0;                       //标记出栈
                j++;                               //记录出栈次数
            }
        }
        if(j==n)
        {
            printf("Yes.\n");
            for(int i=0;i<k;i++)
            {
                if(flag[i])
                {
                    printf("in\n");
                }
                else
                {
                    printf("out\n");
                }
            }
        }
        else
        {
            printf("No.\n");
        }
        printf("FINISH\n");
    }
    return 0;
}