#include <bits/stdc++.h>
using namespace std;
#define ll long long

int main() {
    ios::sync_with_stdio(0);
    cin.tie(0);
    int T;
    cin >> T;
    for (int i=0;i<T;i++) {
        int n;
        ll m;
        cin >> n >> m;
        vector<ll> A(n);
        for (int j=0;j<n;j++) cin >> A[j];

        bool ans = true;

        ll num0 = m;
        ll num1 = 0LL;
        for (int j=0;j<n;j++) {
            ll diff = A[j]-num1;
            if (diff < 0) ans = false;
            num0 -= diff;
            if (num0 < 0) ans = false;
            
            ll tmp = num0;

            num0 = A[j];
            num1 = tmp;
        }

        if (ans) cout << "Yes" << "\n";
        else cout << "No" << "\n";
    }
    return 0;
}