Mark and His Unfinished Essay solution codeforces

Mark and His Unfinished Essay solution codeforces

One night, Mark realized that there is an essay due tomorrow. He hasn’t written anything yet, so Mark decided to randomly copy-paste substrings from the prompt to make the essay.

More formally, the prompt is a string s of initial length n. Mark will perform the copy-pasting operation c times. Each operation is described by two integers l and r, which means that Mark will append letters +1slsl+1…sr to the end of string s. Note that the length of s increases after this operation.

Of course, Mark needs to be able to see what has been written. After copying, Mark will ask q queries: given an integer k, determine the k-th letter of the final string s.

Input

The first line contains a single integer t (110001≤t≤1000) — the number of test cases.

The first line of each test case contains three integers nc, and q (121051≤n≤2⋅1051401≤c≤40, and 11041≤q≤104) — the length of the initial string s, the number of copy-pasting operations, and the number of queries, respectively.

The second line of each test case contains a single string s of length n. It is guaranteed that s only contains lowercase English letters.

The following c lines describe the copy-pasting operation. Each line contains two integers l and r (110181≤l≤r≤1018). It is also guaranteed that r does not exceed the current length of s.

The last q lines of each test case describe the queries. Each line contains a single integer k (110181≤k≤1018). It is also guaranteed that k does not exceed the final length of s.

It is guaranteed that the sum of n and q across all test cases does not exceed 21052⋅105 and 104104, respectively.

Output

For each query, print the k-th letter of the final string s.

Example
input

Copy
2
4 3 3
mark
1 4
5 7
3 8
1
10
12
7 3 3
creamii
2 3
3 4
2 9
9
11
12

output

Copy
m
a
r
e
a
r

Note

In the first test case, the copy-paste process is as follows.

• The first step is pasting string mark at the end, yielding the string markmark.
• The second step is pasting string mar at the end, yielding the string markmarkmar.
• The third step is pasting string rkmark at the end, yielding the string markmarkmarrkmark.

In the second test case, the copy-paste process is as follows.

• The first step is pasting string re at the end, yielding the string creamiire.
• The second step is pasting string ea at the end, yielding the string creamiireea.
• The third step is pasting string reamiire at the end, yielding the string creamiireeareamiire.