Given an array A[ ] of positive integers of size N, where each value represents the number of chocolates in a packet. Each packet can have a variable number of chocolates. There are M students, the task is to distribute chocolate packets among M students such that :
1. Each student gets exactly one packet.
2. The difference between maximum number of chocolates given to a student and minimum number of chocolates given to a student is minimum.
Example 1:
Input:
N = 8, M = 5
A = {3, 4, 1, 9, 56, 7, 9, 12}
Output: 6
Explanation: The minimum difference between
maximum chocolates and minimum chocolates
is 9 - 3 = 6 by choosing following M packets :
{3, 4, 9, 7, 9}.
Example 2:
Input:
N = 7, M = 3
A = {7, 3, 2, 4, 9, 12, 56}
Output: 2
Explanation: The minimum difference between
maximum chocolates and minimum chocolates
is 4 - 2 = 2 by choosing following M packets :
{3, 2, 4}.
Your Task:
You don't need to take any input or print anything. Your task is to complete the function findMinDiff() which takes array A[ ], N and M as input parameters and returns the minimum possible difference between maximum number of chocolates given to a student and minimum number of chocolates given to a student.
Expected Time Complexity: O(N*Log(N))
Expected Auxiliary Space: O(1)
Constraints:
1 ≤ T ≤ 100
1 ≤ N ≤ 10^{5}
1 ≤ A_{i} ≤ 10^{9}
1 ≤ M ≤ N

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