You are given a string $$$s$$$ of the form <block of digits>+<block of digits>+...+<block of digits>. Every block of digits consists of at least $$$2$$$ and at most $$$13$$$ digits; every digit is from $$$1$$$ to $$$9$$$.

You have to split this string into expressions of the form <integer>+<integer>. Every expression must be a contiguous part of the given string, and every character of the given string must belong to exactly one expression. For example, if you have a string 123+456+789+555, then:

- you are allowed to split it into 123+4, 56+7 and 89+555;
- you are not allowed to split it into 123+456 and +789+555, since the second part begins with a + sign;
- you are not allowed to split it into 123+4, 56+7, 8 and 9+555, since the third part does not contain a + sign;
- you are not allowed to split it into 123+456+78 and 9+555, since the first part contains two + signs.

Among all allowed ways to split the string, find one which maximizes the sum of results of all expressions you get, and print this sum.

Input format:
The first line contains one integer $$$t$$$ ($$$1 \le t \le 100$$$) — the number of test cases.

Each test case consists of one line containing the string $$$s$$$ ($$$5 \le |s| \le 1000$$$) of the form <block of digits>+<block of digits>+...+<block of digits>. The string contains at least one '+' sign. Every block of digits consists of at least $$$2$$$ and at most $$$13$$$ digits; every digit is from $$$1$$$ to $$$9$$$.
Output format:
For each test case, print one integer — the maximum possible sum of results of all expressions you get after splitting the string.
Example Input 0:
3
123+456+789+555
13+37
9999999999999+1111111111111+9999999999999

Example Output 0:
834
50
20111111111110

Notes:
In the first test case of the example, you should split the string into expressions 123+4, 56+7 and 89+555. The sum of results of these expressions is $$$834$$$.

In the second test case of the example, the given string is already a valid expression and cannot be split any further.

Example input:
3
123+456+789+555
13+37
9999999999999+1111111111111+9999999999999


Example output:
834
50
20111111111110