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.