def solve():
    n = int(input())
    l = list(map(int, input().split()))
    f = 1
    if n == 1:
        print("YES")
        return
    if n==2:
        if l[0]==0 and l[1]==0:
            print("NO")
            return
        else:
            print("YES")
            return

    extra = l[0]
    for i in range(2, n):
        if l[i] > l[i - 1]:
            extra = extra + l[i] - l[i - 1] - 1
        else:
            need = l[i - 1] - l[i] + 1
            if need <= extra:
                extra = extra - need
            else:
                f = 0
                break
    if f:
        print("YES")
    else:
        print("NO")

def solve2():
    n = int(input())
    l = list(map(int, input().split()))
    f = 1
    c = 0
    extra = 0
    for i in range(n):
        extra = extra + l[i]-i
        if extra<0:
            f = 0
            break
    if f:
        print("YES")
    else:
        print("NO")
        
def solve3():
    n = int(input())
    l = list(map(int, input().split()))
    f = 1
    s = 0
    for i in range(n):
        s += l[i]
        if s < i * (i + 1) // 2:
            f = 0
            break
    if f:
        print("YES")
    else:
        print("NO")


for testis in range(int(input())):
    solve2()