using System;
using static System.Console;
using System.Linq;
using System.Collections.Generic;

class Program
{
    static int NN => int.Parse(ReadLine());
    static int[] NList => ReadLine().Split().Select(int.Parse).ToArray();
    static void Main()
    {
        var t = NN;
        var res = new bool[t];
        for (var u = 0; u < t; ++u)
        {
            var c = NList;
            var (n, m) = (c[0], c[1]);
            var a = NList;
            res[u] = Stair(n, m, a);
        }
        WriteLine(string.Join("\n", res.Select(f => f ? "Yes" : "No")));
    }
    static bool Stair(int n, int m, int[] a)
    {
        var dp = new int[n + 1];
        dp[0] = m;
        for (var i = 0; i < n; ++i)
        {
            if (dp[i + 1] < a[i])
            {
                var mv = a[i] - dp[i + 1];
                dp[i] -= mv;
                dp[i + 1] += mv;
            }
            if (i + 2 <= n && dp[i + 2] < a[i + 1])
            {
                var mv = Math.Min(dp[i], a[i + 1] - dp[i + 2]);
                dp[i] -= mv;
                dp[i + 2] += mv;
            }
            if (dp[i] > 0) return false;
        }
        return true;
    }
}