Yura's New Name

#### 题目描述 Yura 要改名字，他想取一个只包含字符 `_` 和 `^` 的名字，并满足一定条件，即只有形如 "^\_^" 和 "^^" 的连续子串可以出现在该名字中，且这些子串能够覆盖整个名字，不同子串间可以重叠。每次操作可以在名字中插入一个字符 `_` 或一个字符 `^`，求最少需要多少次操作才能使其符合要求。 #### 输入格式 第一行是测试数据组数 $T$。对于每组数据，只有一行，表示 Yura 的原名。 #### 输出格式 每组数据有一行输出，输出将 Yura 名字修正最少的操作数。

After holding one team contest, boy Yura got very tired and wanted to change his life and move to Japan. In honor of such a change, Yura changed his name to something nice. Fascinated by this idea he already thought up a name $ s $ consisting only of characters "\_" and "^". But there's a problem — Yura likes smiley faces "^\_^" and "^^". Therefore any character of the name must be a part of at least one such smiley. Note that only the consecutive characters of the name can be a smiley face. More formally, consider all occurrences of the strings "^\_^" and "^^" in the string $ s $ . Then all such occurrences must cover the whole string $ s $ , possibly with intersections. For example, in the string "^^\_\_^\_^^\_\_^" the characters at positions $ 3,4,9,10 $ and $ 11 $ are not contained inside any smileys, and the other characters at positions $ 1,2,5,6,7 $ and $ 8 $ are contained inside smileys. In one operation Jura can insert one of the characters "\_" and "^" into his name $ s $ (you can insert it at any position in the string). He asks you to tell him the minimum number of operations you need to do to make the name fit Yura's criteria.

Each test consists of multiple test cases. The first line contains a single integer $ t $ ( $ 1 \le t \le 100 $ ) —the number of test cases. The description of test cases follows. The first and only line of each test case contains a single string $ s $ ( $ 1 \leq |s| \leq 100 $ ), consisting of characters "\_" and "^", — the name to change.

For each test case, output a single integer — the minimum number of characters you need to add to the name to make it fit for Yura. If you don't need to change anything in the name, print $ 0 $ .

7
^______^
___^_^^^_^___^
^_
^
^_^^^^^_^_^^
___^^
_

5
5
1
1
0
3
2

In the first test case, you can get the following name by adding $ 5 $ characters: ^\_^\_^\_^\_^\_^\_^ In the third test case, we can add one character "^" to the end of the name, then we get the name: ^\_^ In the fourth test case, we can add one character "^" to the end of the name, then we get the name: ^^ In the fifth test case, all of the characters are already contained in smiley faces, so the answer is $ 0 $ . In the seventh test case, you can add one character "^" at the beginning of the name and one character "^" at the end of the name, then you get the name: ^\_^