|Codeforces Round #233 (Div. 1)|
User ainta decided to make a new instant messenger called "aintalk". With aintalk, each user can chat with other people. User ainta made the prototype of some functions to implement this thing.
Because the messenger is being tested by some users numbered from 1 to n, there is no register method. This means, at the beginning, some users may be online, and some users may have friends.
User ainta is going to make these functions, but before making the messenger public, he wants to know whether he is correct. Help ainta verify his code.
The first line contains three space-separated integers n, m and q (1 ≤ n ≤ 50000; 1 ≤ m ≤ 150000; 1 ≤ q ≤ 250000) — the number of users, the number of pairs of friends, and the number of queries.
The second line contains an integer o (1 ≤ o ≤ n) — the number of online users at the beginning. The third line contains o space-separated integers x 1, x 2, ..., x o (1 ≤ x i ≤ n) — the ids of the online users. It is guaranteed that these values are distinct.
Each of the next m lines contains two space-separated integers a i and b i (1 ≤ a i, b i ≤ n; a i ≠ b i) — the ids of two users who are friends at the beginning. It is guaranteed there are no multiple friendship given in the input. Note that the friendship is bidirectional.
Next q lines describe the q queries in the format:
For each count_online_friends( u) query, print the required answer in a single line.
5 2 9
A 2 5
D 1 3
A 1 2
A 4 2