You are given three integers $a$, $b$, and $c$ such that exactly one of these two equations is true:

• $a+b=c$
• $a-b=c$

Output + if the first equation is true, and - otherwise.

Input

The first line contains a single integer $t$ ($1 \leq t \leq 162$) — the number of test cases.

The description of each test case consists of three integers $a$, $b$, $c$ ($1 \leq a, b \leq 9$, $-8 \leq c \leq 18$). The additional constraint on the input: it will be generated so that exactly one of the two equations will be true.

Output

For each test case, output either + or - on a new line, representing the correct equation.

Note

In the first test case, $1+2=3$.

In the second test case, $3-2=1$.

In the third test case, $2-9=-7$. Note that $c$ can be negative.

Samples

11
1 2 3
3 2 1
2 9 -7
3 4 7
1 1 2
1 1 0
3 3 6
9 9 18
9 9 0
1 9 -8
1 9 10

+
-
-
+
+
-
+
+
-
-
+