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Maximum of minimum for every window size
Hard Accuracy: 38.98% Submissions: 4853 Points: 8

Given an integer array. The task is to find the maximum of the minimum of every window size in the array.
Note: Window size varies from 1 to the size of the Array.

Example 1:

Input:
N = 7
arr[] = {10,20,30,50,10,70,30}
Output: 70 30 20 10 10 10 10
Explanation: First element in output
indicates maximum of minimums of all
windows of size 1. Minimums of windows
of size 1 are {10}, {20}, {30}, {50},
{10}, {70} and {30}. Maximum of these
minimums is 70.
Second element in output indicates
maximum of minimums of all windows of
size 2. Minimums of windows of size 2
are {10}, {20}, {30}, {10}, {10}, and
{30}. Maximum of these minimums is 30
Third element in output indicates
maximum of minimums of all windows of
size 3. Minimums of windows of size 3
are {10}, {20}, {10}, {10} and {10}.
Maximum of these minimums is 20.
Similarly other elements of output are
computed.


Example 2:

Input:
N = 3
arr[] = {10,20,30}
Output: 30 20 10
Explanation: First element in output
indicates maximum of minimums of all
windows of size 1.Minimums of windows
of size 1 are {10} , {20} , {30}.
Maximum of these minimums are 30 and
similarly other outputs can be computed

The task is to complete the function maxOfMin() which takes the array arr[] and its size N as inputs and finds the maximum of minimum of every window size and returns an array containing the result.

Expected Time Complxity : O(N)
Expected Auxilliary Space : O(N)

Constraints:
1 <= N <= 105
1 <= arr[i] <= 106