You are given circle $A$ with radius $r_a$ and with central coordinate $(x_a, y_a)$ and circle $B$ with radius $r_b$ and with central coordinate $(x_b, y_b)$.

Write a program which prints:

* "2" if $B$ is in $A$,
* "-2" if $A$ is in $B$,
* "1" if circumference of $A$ and $B$ intersect, and
* "0" if $A$ and $B$ do not overlap.



You may assume that $A$ and $B$ are not identical.



Input

The input consists of multiple datasets. The first line consists of an integer $N$ ($N \leq 50$), the number of datasets. There will be $N$ lines where each line represents each dataset. Each data set consists of real numbers:

$x_a$ $y_a$ $r_a$ $x_b$ $y_b$ $r_b$

Output

For each dataset, print 2, -2, 1, or 0 in a line.

Example

Input

2
0.0 0.0 5.0 0.0 0.0 4.0
0.0 0.0 2.0 4.1 0.0 2.0


Output

2
0
# ??????????????¢??¨????????????, ????????¢???
def plus(a, b):
    return a + b


def minus(a, b):
    return abs(a - b)


def distance(x1, y1, x2, y2):
    r2 = (x1 - x2)**2 + (y1 - y2)**2
    return pow(r2, 0.5)


def flag(l):
    rp = plus(l[2], l[5])
    rm = minus(l[2], l[5])
    d = distance(l[0], l[1], l[3], l[4])
    if rp < d:
        return 0
    elif d < rm:
        if l[5] < l[2]:
            return 2
        else:
            return -2
    else:
        return 1


N = int(input())
for i in range(N):
    a = list(map(float, input().split()))
    print(flag(a))