Tom owns a company and he is the boss. There are n staffs which are numbered from 1 to n in this company, and every staff has a ability. Now, Tom is going to assign a special task to some staffs who were in the same group. In a group, the difference of the ability of any two staff is less than k, and their numbers are continuous. Tom want to know the number of groups like this.

 

In the first line a number T indicates the number of test cases. Then for each case the first line contain 2 numbers n, k (1<=n<=100000, 0<k<=10^9),indicate the company has n persons, k means the maximum difference between abilities of staff in a group is less than k. The second line contains n integers:a[1],a[2],…,a[n](0<=a[i]<=10^9),indicate the i-th staff’s ability.

 

For each test，output the number of groups.

 

 

#include<iostream>

#include<cstdio>

#include<algorithm>

#include<cstring>

using namespace std;

const int maxn=;

int n,k,t,a[maxn],maxval[maxn],minval[maxn],tmax,tmin;

int lowbit(int x){

    return x&(-x);

}

void ini(){

    for(int i=;i<=n;i++){

        maxval[i]=minval[i]=a[i];

        for(int j=;j<lowbit(i);j<<=){

            maxval[i]=max(maxval[i],maxval[i-j]);

            minval[i]=min(minval[i],minval[i-j]);

        }

    }

}

void query(int l,int r){

    tmax=tmin=a[r];

    while(true){

        tmax=max(tmax,a[r]);

        tmin=min(tmin,a[r]);

        if(r==l) break;

        for(r-=;r-l>=lowbit(r);r-=lowbit(r)){

            tmax=max(tmax,maxval[r]);

            tmin=min(tmin,minval[r]);

        }

    }

}

int main(){

    //freopen("in.txt","r",stdin);

    scanf("%d",&t);

    while(t--){

        memset(maxval,,sizeof(maxval));

        memset(minval,0x3f,sizeof(minval));

        scanf("%d%d",&n,&k);

        for(int i=;i<=n;i++)

            scanf("%d",&a[i]);

        ini();

        int p=;

        long long ans=;

        for(int i=;i<=n;i++){

            if(p>n) p=n;

            query(i,p);

            while(tmax-tmin<k&&p<=n){

                p++;

                tmax=max(tmax,a[p]);

                tmin=min(tmin,a[p]);

            }

            ans+=p-i;

        }

        printf("%I64d\n",ans);

    }

    return ;

}