def pair(n):
    if n%2 == 0:
        return "No"

    l = (3/2)*(n+1)

    res = []
    for i in range(1, (n+1)//2):
        res.append((i, l+i-1))

    for i in range(1, (n+1)//2+n%2):
        res.append((n-i+1, l-i))

    return "Yes\n"+"\n".join([f"{int(a[0])} {int(a[1])}" for a in res])


for _ in range(int(input())):
    print(pair(int(input())))