A13659 | Pluses and Minuses

You are given a string $s$ consisting only of characters + and -. You perform some process with this string. This process can be described by the following pseudocode:

```
res = 0
for init = 0 to inf
cur = init
ok = true
for i = 1 to |s|
res = res + 1
if s[i] == '+'
cur = cur + 1
else
cur = cur - 1
if cur < 0
ok = false
break
if ok
break
```


Note that the $inf$ denotes infinity, and the characters of the string are numbered from $1$ to $|s|$ .

You have to calculate the value of the $res$ after the process ends.

The first line contains one integer $t$ ( $1 \le t \le 1000$ ) — the number of test cases.

The only lines of each test case contains string $s$ ( $1 \le |s| \le 10^6$ ) consisting only of characters + and -.

It's guaranteed that sum of $|s|$ over all test cases doesn't exceed $10^6$ .

For each test case print one integer — the value of the $res$ after the process ends.