#include <bits/stdc++.h>
using namespace std;
using ll = long long;
#define rep(i,n) for (int i = 0; i < n; i++)
#define rrep(i,n) for (int i = n-1; i >= 0; i--)
#define rep2(i,a,b) for (int i = a; i < b; i++)
#define rrep2(i,a,b) for (int i = a-1; i >= b; i--)
#define rep3(i,a,b,c) for (int i = a; i < b; i+=c)
#define rrep3(i,a,b,c) for (int i = a-1; i >= b; i-=c)
#define all(v) v.begin(),v.end()
#define rall(v) v.rbegin(),v.rend()
template<class T> bool chmax(T &a, T b){if (a < b){a = b;return true;} else return false;}
template<class T> bool chmin(T &a, T b){if (a > b){a = b;return true;} else return false;}

void solve(){
    int n,m;cin>>n>>m;
    vector<int>A(n);
    rep(i,n)cin>>A[i];
    int x=m,y=0;
    rep(i,n){
        if(y>A[i]){
            cout<<"No"<<"\n";
            return;
        }else{
            x-=A[i]-y;
            y=A[i];
            swap(x,y);
            if(y<0){
                cout<<"No"<<"\n";
                return;
            }
        }
    }
    cout<<"Yes"<<"\n";
}

int main(){
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    int t;cin>>t;
    while(t--){
        solve();
    }
}