Micro and Array Function

4.7

3 votes
Approved, Data Structures, Fenwick Tree, Fenwick tree, Medium
Problem

Micro has made a breakthrough. He made a function which he proudly calls Micro's Array Fucntion. It takes an array of integers A and an integer K as input and optimally finds out the number of unordered pairs (i,j),ij such that |A[i]A[j]|K.
Micro is getting a lot of recognition because of it. His best friend Mike wants to be a part of it, but for that he needs to make some contribution. He thought of extending Micro's Array function. He wants to make a new function g(A,K) that also takes an array of integers A and an integer K as input and optimally calculates f(X,K) for all contiguous subarrays X of A. He need your help in this and help here means do the entire task. He'll give you an integer K and an array A having N integers and you need to compute g(A,K).

Input:
First line consists of a single integers T denoting the number of test cases.
First line of each test case consists of two space separated integer denoting N and K.
Second line of each test case consists of a N space separated integers denoting the array A.

Output:
For each test case, print the value of g(A,K) in a new line.

Constraints:
1T5
1N105
1A[i],K109

Time Limit: 2
Memory Limit: 256
Source Limit:
Explanation

X=[1], f(X,K)=0
X=[2], f(X,K)=0
X=[3], f(X,K)=0
X=[1,2], f(X,K)=0
X=[2,3], f(X,K)=0
X=[1,2,3] , f(X,K)=1

Editor Image

?