apps_550


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Points: 3
Time limit: 30.0s
Memory limit: 250M

Problem type
Allowed languages
Python

When registering in a social network, users are allowed to create their own convenient login to make it easier to share contacts, print it on business cards, etc.

Login is an arbitrary sequence of lower and uppercase latin letters, digits and underline symbols («_»). However, in order to decrease the number of frauds and user-inattention related issues, it is prohibited to register a login if it is similar with an already existing login. More precisely, two logins s and t are considered similar if we can transform s to t via a sequence of operations of the following types: transform lowercase letters to uppercase and vice versa; change letter «O» (uppercase latin letter) to digit «0» and vice versa; change digit «1» (one) to any letter among «l» (lowercase latin «L»), «I» (uppercase latin «i») and vice versa, or change one of these letters to other.

For example, logins «Codeforces» and «codef0rces» as well as «OO0OOO00O0OOO0O00OOO0OO_lol» and «OO0OOO0O00OOO0O00OO0OOO_1oI» are considered similar whereas «Codeforces» and «Code_forces» are not.

You're given a list of existing logins with no two similar amonst and a newly created user login. Check whether this new login is similar with any of the existing ones.

-----Input-----

The first line contains a non-empty string s consisting of lower and uppercase latin letters, digits and underline symbols («_») with length not exceeding 50  — the login itself.

The second line contains a single integer n (1 ≤ n ≤ 1 000) — the number of existing logins.

The next n lines describe the existing logins, following the same constraints as the user login (refer to the first line of the input). It's guaranteed that no two existing logins are similar.

-----Output-----

Print «Yes» (without quotes), if user can register via this login, i.e. none of the existing logins is similar with it.

Otherwise print «No» (without quotes).

-----Examples-----

Input 1_wat 2 2_wat wat_1

Output Yes

Input 000 3 00 ooA oOo

Output No

Input _i_ 3 __i_ _1_ I

Output No

Input La0 3 2a0 La1 1a0

Output No

Input abc 1 aBc

Output No

Input 0Lil 2 LIL0 0Ril

Output Yes

-----Note-----

In the second sample case the user wants to create a login consisting of three zeros. It's impossible due to collision with the third among the existing.

In the third sample case the new login is similar with the second one.


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