for _ in range(int(input())):
    n, m = map(int, input().split())
    a = list(map(int, input().split()))
    b = [m]+[0]*n
    ans = "Yes"
    for i in range(n-1):
        b[i+1], b[i+2] = a[i], b[0]-a[i]
        if b[i+2] < 0 or a[i+1] < b[i+2]: ans = "No"
    print(ans)