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Max In An Interval - Range Query

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You are given an array(of integers) of length n.
You are required to answer q queries.
In each query u are given an interval l, r both inclusive and u have to find the maximum element in this interval.

To do the above task u have to create a datastructure as follows :-

Implement the SegmentTree class:
1. SegmentTree(int arr[]): Initializes the SegmentTree object with an array,
2. int query(int l, int r): return max in interval [l, r].

Can u do it in O(log(n)) or better Time Complexity.
Input Format 
A number n
n1
n2
.. n number of elements
A number q
following q lines contains queries of format
l r
Output Format 
for each query print a single integer in seperate line
Question Video
Constraints 
1. 1 <= n, q <= 10^5
2. 0 <= l <= r < n
3. 10^9 <= arr[i] <= 10^9
4. all input and output will fit in 32bit signed integer
Sample Input 
8
8
7
4
2
5
3
1
10
4
0 7
0 3
2 7
1 6
Sample Output 
10
8
10
7



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