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

import sys
import math


class Circle:
    def __init__(self, x, y, r):
        self.x = x
        self.y = y
        self.r = r

    def distance(self, other):
        dx = self.x - other.x
        dy = self.y - other.y
        return math.sqrt(dx ** 2 + dy ** 2)

    def intersection(self, other):
        d = self.distance(other)
        if self.r > d + other.r:
            return 2
        elif other.r > d + self.r:
            return -2
        elif d <= self.r + other.r:
            return 1
        else:
            return 0


#input_file = open(sys.argv[1], "r")

sys.stdin.readline()

for line in sys.stdin:
    (xa, ya, ra, xb, yb, rb) = tuple(map(float, line.split(' ')))
    ca = Circle(xa, ya, ra)
    cb = Circle(xb, yb, rb)
    print ca.intersection(cb)