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A16027. Ranom Numbers

编程题 普及/提高-

题目描述

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.

输入格式

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 $2 \cdot 10^5$ .

输出格式

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.

输入输出样例

输入 #1
4
DAAABDCA
AB
ABCDEEDCBA
DDDDAAADDABECD
输出 #1
11088
10010
31000
15886

说明/提示

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 $10000+10=10010$ .
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