#include<bits/stdc++.h>
using namespace std;
using ll=long long;
using i64=long long;
using u64=unsigned long long;
template<class T> 
T func(T x,T y){
    return gcd(x,y);
}
template <class T>
struct SparseTable {
    int n;
    vector<vector<T>> a;
    SparseTable(const vector<T> &init) : n(init.size()){
        int lg = __lg(n);
        a.assign(lg + 1, vector<T>(n));
        a[0] = init;
        for (int i = 1; i <= lg; i++) {
            for (int j = 0; j <= n - (1 << i); j++) {
                a[i][j] = func(a[i - 1][j], a[i - 1][(1 << (i - 1)) + j]);
            }
        }  	    
    }
    T get(int l, int r) { // [l, r) 
        l--;
        int lg = __lg(r - l);
        return func(a[lg][l], a[lg][r - (1 << lg)]);
    }
};
void solve(){
    ll n,k;
    cin>>n>>k;
    vector<int> a(n+1);
    vector<int> b(n);
    int mn=1e9;
    for(int i=1;i<=n;i++){
        cin>>a[i];
        mn=min(a[i],mn);
    }
    if(n==1){
        cout<<k<<" "<<k*(k+1)/2<<'\n';
        return;
    }
    for(int i=2;i<=n;i++){
        b[i-2]=a[i]-a[i-1];
    }
    SparseTable<int> st(b);
    vector<int> sta;
    vector<int> l(n+1,1);
    vector<int> r(n+1,n);
    for(int i=1;i<=n;i++){
        while(!sta.empty()&&a[sta.back()]>a[i]) sta.pop_back();
        if(sta.size()){
            if(sta.back()==1){
                l[i]=sta.back()+1;
        }
        else l[i]=i;
        sta.push_back(i);
    }
    sta.clear();
    for(int i=n;i>=1;i--){
        while(!sta.empty()&&a[sta.back()]>a[i]) sta.pop_back();
        if(sta.size()) {
            r[i]=sta.back()-1;
        }
        else r[i]=i;
        sta.push_back(i);
    }
    vector<pair<int,int>> p;
    for(int i=1;i<=n;i++){
        if(l[i]==r[i]) p.push_back({a[i],a[i]});
        else p.push_back({a[i],st.get(l[i],r[i]-1)});
    }
    int mx=st.get(1,n-1);
    set<int> s;
    for(int i=1;i<=sqrt(mx);i++){
        if(mx%i==0){
            int x=mx/i;
            int y=i;
            if(x-mn<=k&&x!=mn) s.insert(x-mn);
            if(y-mn<=k&&y!=mn) s.insert(y-mn);
        }
    }
    for(auto [x,y]:p){
        for(auto z:s){
            if(x==y) continue;
            if(y%(x+z)==0) continue;
            else s.erase(z);
        }
    }
    cout<<s.size()<<" ";
    ll ans=0;
    for(auto x:s){
        ans+=x;
    }
    cout<<ans<<"\n";
    
}
int main(){
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    int t;
    cin>>t;
    while(t--) solve();
    return 0;
}

answer.code: In function ‘void solve()’:
answer.code:100:9: warning: empty parentheses were disambiguated as a function declaration [-Wvexing-parse]
  100 | int main(){
      |         ^~
answer.code:100:9: note: remove parentheses to default-initialize a variable
  100 | int main(){
      |         ^~
      |         --
answer.code:100:9: note: or replace parentheses with braces to value-initialize a variable
answer.code:100:11: error: a function-definition is not allowed here before ‘{’ token
  100 | int main(){
      |           ^
answer.code:107:2: error: expected ‘}’ at end of input
  107 | }
      |  ^
answer.code:31:13: note: to match this ‘{’
   31 | void solve(){
      |             ^