#include <bits/stdc++.h>
#pragma GCC optimize(2)

// using namespace std;

using i64 = long long;
using u32 = unsigned int;
using u64 = unsigned long long;
const int inf = 1e9;
template<class Info>
struct SegmentTree {
    int n;
    std::vector<Info> info;
    SegmentTree(int n) : n(n), info(4 << std::__lg(n + 1)) {}
    void pull(int p) {
        info[p] = info[2 * p] + info[2 * p + 1];
    }
    void modify(int p, int l, int r, int x, const Info &v) {
        if (r == l) {
            info[p] = v;
            return;
        }
        int m = (l + r) / 2;
        if (x <= m) {
            modify(2 * p, l, m, x, v);
        } else {
            modify(2 * p + 1, m + 1, r, x, v);
        }
        pull(p);
    }
    void modify(int p, const Info &v) {
        modify(1, 1, n, p, v);
    }
    Info rangeQuery(int p, int l, int r, int x, int y) {
        if (l > y || r < x) {
            return {inf};
        }
        if (l >= x && r <= y) {
            return info[p];
        }
        int m = (l + r) / 2;
        return rangeQuery(2 * p, l, m, x, y) + rangeQuery(2 * p + 1, m + 1, r, x, y);
    }
    Info rangeQuery(int l, int r) {
        if (l > r) return {inf};
        return rangeQuery(1, 1, n, l, r);
    }
    template<class F>
    int findFirst(int p, int l, int r, int x, int y, F &&pred) {
        if (l > y || r < x) {
            return -1;
        }
        if (l >= x && r <= y && !pred(info[p])) {
            return -1;
        }
        if (r == l) {
            return l;
        }
        int m = (l + r) / 2;
        int res = findFirst(2 * p, l, m, x, y, pred);
        if (res == -1) {
            res = findFirst(2 * p + 1, m + 1, r, x, y, pred);
        }
        return res;
    }
    template<class F>
    int findFirst(int l, int r, F &&pred) {
        return findFirst(1, 1, n, l, r, pred);
    }
    template<class F>
    int findLast(int p, int l, int r, int x, int y, F &&pred) {
        if (l > y || r < x) {
            return -1;
        }
        if (l >= x && r <= y && !pred(info[p])) {
            return -1;
        }
        if (r == l) {
            return l;
        }
        int m = (l + r) / 2;
        int res = findLast(2 * p + 1, m + 1, r, x, y, pred);
        if (res == -1) {
            res = findLast(2 * p, l, m, x, y, pred);
        }
        return res;
    }
    template<class F>
    int findLast(int l, int r, F &&pred) {
        return findLast(1, 1, n, l, r, pred);
    }
};

struct Info {
	int x;
};

Info operator+(const Info &a, const Info &b) {
	return {std::min(a.x, b.x)};
}

// SegmentTree<Info> tree(m);

void solve() {
    int n, k;
    std::cin >> n >> k;
    std::vector<int> a(n + 1);
    SegmentTree<Info> tree(n);
    int mn = 1e9;
    for(int i = 1; i <= n; i++){
    	std::cin >> a[i];
    	tree.modify(i, {a[i]});
    	mn = std::min(mn, a[i]);
    }
    int g = 0;
    for(int i = 2; i <= n; i++){
    	g = std::gcd(g, std::abs(a[i] - a[i - 1]));
    }
    if (g == 0){
    	std::cout << k << " " << 1LL * k * (k + 1) / 2 << "\n";
    	return;
    }

    std::vector<int> st;
    for(int i = 1; i * i <= g; i++){
    	if (g % i == 0){
    		int j = g / i;
    		if (i > mn){
    			st.push_back(i - mn);
    		}
    		if (j > mn){
    			st.push_back(j - mn);
    		}
    	}
    }
    std::vector dp(n + 1, std::vector (21, 0));
    for(int i = 1; i < n; i++){
    	dp[i][0] = std::abs(a[i] - a[i + 1]);
    }
    for(int j = 1; j < 21; j++){
    	for(int i = 1; i <= n; i++){
    		int ni = i + (1 << (j - 1)) > n ? n : i + (1 << (j - 1));
    		dp[i][j] = std::gcd(dp[i][j - 1], dp[ni][j - 1]);
    	}
    }
    for(int i = 1; i <= n; i++){
    	int l = 1, r = i - 1, L = 1;
    	while(l <= r){
    		int m = (l + r) / 2;
    		if (tree.rangeQuery(m, i).x < a[i]){
    			L = m + 1;
    			l = m + 1;
    		}else{
    			r = m - 1;
    		}
    	}
    	l = i + 1, r = n;
    	int R = n;
    	while(l <= r){
    		int m = (l + r) / 2;
    		if (tree.rangeQuery(i, m).x < a[i]){
    			R = m - 1;
    			r = m - 1;
    		}else{
    			l = m + 1;
    		}
    	}
    	int G = 0;
    	// std::cout << L << " " << R << "a\n";
    	for(int i = 20; i >= 0; i--){
    		if (L + (1 << i) <= R){
    			G = std::gcd(G, dp[L][i]);
    			L += 1 << i;
    		}
    	}
    	// std::cout << i << " " << G << "b\n";
    	if (G == 0){
    		continue;
    	}
    	std::vector<int> nst;
    	for(auto j : st){
    		if (G % (a[i] + j) == 0){
    			nst.push_back(j);
    		}
    	}
    	std::swap(st, nst);
    }
    i64 ans = 0;
    for(auto x : st){
    	ans += x;
    }
    std::cout << st.size() << " " << ans << "\n";
}

int main() {
    std::ios::sync_with_stdio(false);
    std::cin.tie(nullptr);
    // std::cout << std::fixed << std::setprecision(10); // 固定输出精度
    int t = 1;
    std::cin >> t;

    while (t--) {
        solve();
    }
    

    return 0;
}