Preparando MOJI
AquaMoon has a string $$$a$$$ consisting of only $$$0$$$ and $$$1$$$. She wants to add $$$+$$$ and $$$-$$$ between all pairs of consecutive positions to make the absolute value of the resulting expression as small as possible. Can you help her?
The first line contains a single integer $$$t$$$ ($$$1 \leq t \leq 2\,000$$$) – the number of test cases. The description of test cases follows.
The first line of each test case contains a single integer $$$n$$$ ($$$2 \leq n \leq 100$$$) — the length of $$$a$$$.
The second line of each test case contains a string $$$a$$$ of length $$$n$$$, consisting of only $$$0$$$ and $$$1$$$.
For each test case, output a string of length $$$n - 1$$$ consisting of $$$-$$$ and $$$+$$$ on a separate line. If there is more than one assignment of signs that produces the smallest possible absolute value, any of them is accepted.
3211501101510001
- +-++ +++-
In the first test case, we can get the expression $$$1 - 1 = 0$$$, with absolute value $$$0$$$.
In the second test case, we can get the expression $$$0 + 1 - 1 + 0 + 1 = 1$$$, with absolute value $$$1$$$.
In the third test case, we can get the expression $$$1 + 0 + 0 + 0 - 1 = 0$$$, with absolute value $$$0$$$.