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Interesting Function

2000ms 262144K

Description:

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.

Input:

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 $$$r$$$ ($$$1 \le l < r \le 10^9$$$).

Output:

For each test case, calculate the total number of changed digits if you want to get $$$r$$$ from $$$l$$$, adding one each time.

Sample Input:

4
1 9
9 10
10 20
1 1000000000

Sample Output:

8
2
11
1111111110

Informação

Codeforces

Provedor Codeforces

Código CF1538F

Tags

binary searchdpmathnumber theory

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Datas 09/05/2023 10:15:16

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