Description

有 3 个帅气的老师 $A$，$B$ 和 $C$。

有 5 个学生 $a$，$b$，$c$，$d$，$e$。当他们当中的某一个人开始玩游戏时，会显示一条消息 XX started playing games!。当他们当中的某一个人停止玩游戏时，会显示一条消息 XX stopped playing games!。

当某个老师来巡视机房时，会显示一条消息：XX came!。如果某个老师走了，会显示一条消息：XX left!。

如果老师发现某个学生正在玩游戏时，请输出该学生的姓名。

Input Format

有 $N$ 条消息。

第一行输入 $N$，第 $2$ 行输入 $3$ 个老师的名字，第 $3$ 行输入 $5$ 个学生的名字，接下来 $n$ 行输入 $N$ 条消息。

Output Format

输出全部在老师巡视时被发现玩游戏学生的名字，按字典序输出。

如果全部学生都被发现玩游戏，额外输出 How Bad Oiers Are!。

如果没有人被发现或者没有人玩游戏，输出 How Good Oiers Are!。

10
A B C
a b c d e
A came!
a started playing games!
b started playing games!
A left!
c started playing games!
d started playing games!
e started playing games!
B came!
PS:zhe_ge_yang_li_hen_zheng_chang!
B left!

a b c d e
How Bad Oiers Are!

10
I_Love_You I_Hate_You Why_Not_love_Me
Gay Che_Wan_Dang QwQ WuMaRu PDD
I_Love_You came!
Gay:Why do you love me?
I_Love_You died!
I_Love_You left!
Che_Wan_Dang prepared to play Dong_Fang!
But nobody came!
QwQ:I am so QwQ,I love myself!
PDD started playing Gay!
Gay died!And WuMaRu cried!
WuMaRu:dai su ki!

How Good Oiers Are!

20
Sans QwQ QAQ
A B C D E
A started playing B!
B started fighting with A!
A won!
A get 10000000 Exp!
QwQ:I and QAQ are looking at you all!
C died!
D died!
E recovered 123456789 HP!
E started playing games!
Sans came!
Sans:It is really a nice day today!
Sans:The birds are singing!
Sans:The flowers in bloom!
Sans:In a beautiful day like this!
Sans:People like you!
Sans:Should burn in hell!
E tried to attack Sans!
Sans was killed!
Sans:Papyrus,do you want something?
E still played his Undertale!

E

20
a b c
A B C D E
A came!
a started playing games!
b came!
b came together!
b came! dan_shi_zhe_ju_hua_bu_dui!
A came came came!
b start playing games!
b left!
c came!
c left!
A left!
B started playing games!
A started playing game!
C started palying games!
E started playing games!
lu_ren_jia came!
lu_ren_jia:What are you doing?
C&D:We are studying!
lu_ren_jia:Good boy!
C:qwq

How Good Oiers Are!

Hint

对于 $20\%$ 的数据，$1\leq N\leq 23.3333333333333$。
对于 $30\%$ 的数据，$1\leq N\leq 999.999$，有一个点答案为 How Good Oiers Are!。
对于 $60\%$ 的数据，$1\leq N\leq 100,000$。
对于$99.9999999999999999999\%$的数据，不保证全部消息都符合题意。
对于 $100\%$ 的数据，$1\leq N\leq 233,333$，数据有梯度。

Tips:

1.消息中肯定有奇奇怪怪的东西。
2.消息必须完全符合题意才有效。
3.样例很恶心，数据很纯真。
4.数据满足不会同时有多个老师巡视。
5.注意仔细阅读题目和样例，该题有坑！