TimeLimit: 12000/6000 MS (Java/Others) MemoryLimit: 131072/131072 K (Java/Others)
64-bit integer IO format:%I64d
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Problem Description
There are N boys in CodeLand.
Boy i has his coding skill Ai.
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).
Input
There are multiple test cases.
The first line contains a single integer N.
Next line contains N space separated integers A1, A2, …, AN, where Ai 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 ≤ Ai, v ≤ 10^9
1 ≤ l ≤ r ≤ N
1 ≤ k ≤ r - l + 1
Output
For each query of type 2, output a single integer corresponding to the answer in a single line.