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CRB and Queries

Time Limit: 12000/6000 MS (Java/Others)    Memory Limit: 131072/131072 K (Java/Others)
Total Submission(s): 5469    Accepted Submission(s): 1377

Problem Description
There are $N$ boys in CodeLand.
Boy $i$ has his coding skill $A_{i}$.
CRB wants to know who has the suitable coding skill.
So you should treat the following two types of queries.
Query 1: 1 $l\ v$
The coding skill of Boy $l$ has changed to $v$.
Query 2: 2 l $r$ $k$
This is a report query which asks the $k$-th smallest value of coding skill between Boy $l$ and Boy $r$(both inclusive).

There are multiple test cases.
The first line contains a single integer $N$.
Next line contains $N$ space separated integers $A_{1}$, $A_{2}$, °≠, $A_{N}$, where $A_{i}$ denotes initial coding skill of Boy $i$.
Next line contains a single integer $Q$ representing the number of queries.
Next $Q$ lines contain queries which can be any of the two types.
1 °‹ $N$, $Q$ °‹ $10^{5}$
1 °‹ $A_{i}$, $v$ °‹ $10^{9}$
1 °‹ $l$ °‹ $r$ °‹ $N$
1 °‹ $k$ °‹ $r\ ®C\ l$ + 1


For each query of type 2, output a single integer corresponding to the answer in a single line.

Sample Input
5 1 2 3 4 5 3 2 2 4 2 1 3 6 2 2 4 2

Sample Output
3 4



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