Find Kth smallest element in a subarray
Problem statement
You are given an Array of size N and your task is to find the Kth smallest element in a subarray of given range i to r (both inclusive)
There can be multiple queries.
Input format
First line of input will be two space separated integers N and Q, the size of array and number of queries respectively.
Following line will have N space separated integers, they will contain the elements of array.
Then, there will be Q number of lines with i, r and k separated by space. Here i is the start index and r is the end index inside which you have to find the kth smallest element of array.
Output format
output Q lines telling the kth smallest number in the given range i and r both inclusive.
Constraints
There will be multiple queries.
1 <= k <= r-i+1
Sample Input 1
7 2
3 2 5 4 7 1 9
2 6 3
1 5 2
Sample output 1
4
2
Explanation
Here 3rd smallest element in range 2 to 6 is 4 so output that, similarly, in range 1 to 5 the 2nd smallest element in 2 so we output that.
Editiorial
https://www.hackersfriend.com/articles/range-trees