import sys
input = lambda :sys.stdin.readline()[:-1]
ni = lambda :int(input())
na = lambda :list(map(int,input().split()))
yes = lambda :print("yes");Yes = lambda :print("Yes");YES = lambda : print("YES")
no = lambda :print("no");No = lambda :print("No");NO = lambda : print("NO")
#######################################################################
for _ in range(ni()):
    n, m = na()
    a = na()
    ans = 1
    x, y = 0, m
    for i in range(n):
        if x <= a[i] <= x + y:
            x, y = y-(a[i]-x),a[i]
        else:
            ans = 0
            break
        #print(x,y)
    if ans:
        Yes()
    else:
        No()