A14280. Interesting Function
编程题
普及/提高-
知识点
题目描述
You are given two integers $l$ and $r$ , where $l < r$ . We will add $1$ to $l$ until the result is equal to $r$ . Thus, there will be exactly $r-l$ additions performed. For each such addition, let's look at the number of digits that will be changed after it.
For example:
- if $l=909$ , then adding one will result in $910$ and $2$ digits will be changed;
- if you add one to $l=9$ , the result will be $10$ and $2$ digits will also be changed;
- if you add one to $l=489999$ , the result will be $490000$ and $5$ digits will be changed.
Changed digits always form a suffix of the result written in the decimal system.
Output the total number of changed digits, if you want to get $r$ from $l$ , adding $1$ each time.
For example:
- if $l=909$ , then adding one will result in $910$ and $2$ digits will be changed;
- if you add one to $l=9$ , the result will be $10$ and $2$ digits will also be changed;
- if you add one to $l=489999$ , the result will be $490000$ and $5$ digits will be changed.
Changed digits always form a suffix of the result written in the decimal system.
Output the total number of changed digits, if you want to get $r$ from $l$ , adding $1$ each time.
输入格式
The first line contains an integer $t$ ( $1 \le t \le 10^4$ ). Then $t$ test cases follow.
Each test case is characterized by two integers $l$ and $r$ ( $1 \le l < r \le 10^9$ ).
Each test case is characterized by two integers $l$ and $r$ ( $1 \le l < r \le 10^9$ ).
输出格式
For each test case, calculate the total number of changed digits if you want to get $r$ from $l$ , adding one each time.
输入输出样例
输入 #1
4 1 9 9 10 10 20 1 1000000000
输出 #1
8 2 11 1111111110