A16027 | Ranom Numbers

No, not "random" numbers.

Ranom digits are denoted by uppercase Latin letters from A to E. Moreover, the value of the letter A is $1$ , B is $10$ , C is $100$ , D is $1000$ , E is $10000$ .

A Ranom number is a sequence of Ranom digits. The value of the Ranom number is calculated as follows: the values of all digits are summed up, but some digits are taken with negative signs: a digit is taken with negative sign if there is a digit with a strictly greater value to the right of it (not necessarily immediately after it); otherwise, that digit is taken with a positive sign.

For example, the value of the Ranom number DAAABDCA is $1000 - 1 - 1 - 1 - 10 + 1000 + 100 + 1 = 2088$ .

You are given a Ranom number. You can change no more than one digit in it. Calculate the maximum possible value of the resulting number.

The first line contains a single integer $t$ ( $1 \le t \le 10^4$ ) — the number of test cases.

The only line of each test case contains a string $s$ ( $1 \le |s| \le 2 \cdot 10^5$ ) consisting of uppercase Latin letters from A to E — the Ranom number you are given.

The sum of the string lengths over all test cases does not exceed $2 \cdot 10^5$ .

For each test case, print a single integer — the maximum possible value of the number, if you can change no more than one digit in it.