Maximize Disjoint Pair Sum

All submissions for this problem are available.
Read problems statements in Mandarin Chinese and Russian as well.
Given an array of N numbers, a pair of numbers is called good if difference between the two numbers is strictly less than D.
Find out maximum possible sum of all good disjoint pairs that can be made from these numbers.
Sum of X pairs is the sum of all 2*X numbers in the pairs.
Input
First line contains T, the number of test cases to follow.
First line of each test case contains 2 space separated integers: N and D.
Second line of each test case contains N space separated integers.
Output
For each test case, output the answer in a separate line.
Constraints
 1 ≤ T, N, D, Array Elements ≤ 10^{5}
 1 ≤ Sum of N over all test cases ≤ 5*10^{5}
Example
Input: 3 3 3 3 5 8 4 3 5 8 10 12 5 3 3 2 8 17 15 Output: 8 22 37
Explanation:
Test Case 1: You can only take 1 pair out of 3 numbers. So pair(3,5) is only valid pair whose difference is 2.
Test Case 3: You can take pairs(3,2) and (15,17) as the answer.
Note:
Pair (a,b) is disjoint with pair (c,d) if and only if indices of a, b, c and d in the array are distinct.
Author:  devuy11 
Tester:  adurysk 
Editorial  http://discuss.codechef.com/problems/SUMPAIR 
Tags  cook60, devuy11, simple 
Date Added:  20052015 
Time Limit:  1 sec 
Source Limit:  50000 Bytes 
Languages:  C, CPP14, JAVA, PYTH, PYTH 3.5, PYPY, CS2, PAS fpc, PAS gpc, RUBY, PHP, GO, NODEJS, HASK, SCALA, D, PERL, FORT, WSPC, ADA, CAML, ICK, BF, ASM, CLPS, PRLG, ICON, SCM qobi, PIKE, ST, NICE, LUA, BASH, NEM, LISP sbcl, LISP clisp, SCM guile, JS, ERL, TCL, PERL6, TEXT, SCM chicken, CLOJ, FS 
Comments
 Please login at the top to post a comment.
SUCCESSFUL SUBMISSIONS
Fetching successful submissions
HELP
If you are still having problems, see a sample solution here. 