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Description

The Company Dynamic Rankings has developed a new kind of computer that is no
longer satisfied with the query like to simply find the k-th smallest number
of the given N numbers. They have developed a more powerful system such that
for N numbers a[1], a[2], ..., a[N], you can ask it like: what is the k-th smallest
number of a[i], a[i+1], ..., a[j]? (For some i<=j, 0<k<=j+1-i that
you have given to it). More powerful, you can even change the value of some
a[i], and continue to query, all the same.



Your task is to write a program for this computer, which



- Reads N numbers from the input (1 <= N <= 50,000)



- Processes M instructions of the input (1 <= M <= 10,000). These instructions
include querying the k-th smallest number of a[i], a[i+1], ..., a[j] and change
some a[i] to t.

Input Format

The first line of the input is a single number X (0 < X <= 4), the number
of the test cases of the input. Then X blocks each represent a single test case.



The first line of each block contains two integers N and M, representing N numbers
and M instruction. It is followed by N lines. The (i+1)-th line represents the
number a[i]. Then M lines that is in the following format



Q i j k or

C i t



It represents to query the k-th number of a[i], a[i+1], ..., a[j] and change
some a[i] to t, respectively. It is guaranteed that at any time of the operation.
Any number a[i] is a non-negative integer that is less than 1,000,000,000.



There're NO breakline between two continuous test cases.

Output Format

For each querying operation, output one integer to represent the result. (i.e.
the k-th smallest number of a[i], a[i+1],..., a[j])



There're NO breakline between two continuous test cases.

Sample Input 1

2
5 3
3 2 1 4 7
Q 1 4 3
C 2 6
Q 2 5 3
5 3
3 2 1 4 7
Q 1 4 3
C 2 6
Q 2 5 3

Sample Output 1

3
6
3
6

Hints

Segment tree? Balanced binary tree? or just store some lists?

Problem Source

Migrated from old NTUJ.

ZJU 2112

Subtasks

No. Testdata Range Score

Testdata and Limits

No. Time Limit (ms) Memory Limit (VSS, KiB) Output Limit (KiB) Subtasks
0 6000 65536 2048