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Pairs with specific difference
Easy Accuracy: 72.36% Submissions: 993 Points: 2

Given an array of integers arr[] and a number K.You can pair two numbers of the array if the difference between them is strictly less than K. The task is to find the maximum possible sum of such disjoint pairs. The Sum of P pairs is the sum of all 2P numbers of pairs.

Example 1:

Input  :
arr[] = {3, 5, 10, 15, 17, 12, 9}
K = 4
Output :
62
Explanation :
Then disjoint pairs with difference less
than K are, (3, 5), (10, 12), (15, 17)
max sum which we can get is
3 + 5 + 10 + 12 + 15 + 17 = 62
Note that an alternate way to form
disjoint pairs is,(3, 5), (9, 12), (15, 17)
but this pairing produces less sum.

Example 2:

Input  :
arr[] = {5, 15, 10, 300}
K = 12
Output :
25


You don't need to read input or print anything. Your task is to complete the function maxSumPairWithDifferenceLessThanK() which takes the array arr[], its size N and an integer K as inputs and returns the maximum possible sum of disjoint pairs.

Expected Time Complexity: O(N. log(N))
Expected Auxiliary Space: O(N)

Constraints:
1 ≤ N ≤ 105
0 ≤ K ≤ 105
1 ≤ arr[i] ≤ 104