Ranom Numbers
Description
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.
Input
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 $2 \cdot 10^5$.
Output
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.
4
DAAABDCA
AB
ABCDEEDCBA
DDDDAAADDABECD
11088
10010
31000
15886
Note
In the first example, you can get EAAABDCA with the value $10000-1-1-1-10+1000+100+1=11088$.
In the second example, you can get EB with the value $10000+10=10010$.