题目描述
Problem Description
The king of Takahashi Kingdom, Lord Takahashi, hates the digits 4 and 9 with a passion. Seeing these digits in his country just makes him feel ill, so he has enacted a law prohibiting their use. Breaking this law will result in punishment. Since these digits are forbidden, any number that has either of these forbidden digits in its decimal representation cannot be used.
Since you can no longer use the numbers you were accustomed to without risking punishment, you have decided to write a program to determine how many forbidden numbers are contained in the interval $[A,B]=\{A,A+1,A+2,...,B\}$. Please create this program.
Input Format
The input is given from the standard input in the following format:
$ A $ $ B $
- The first line contains two integers $A,B\ (1≦A≦B≦10^{18})$ separated by a space.
Output Format
Output a single line containing the number of forbidden numbers in the interval $ [A,B] $. Ensure a newline at the end of the output.
Sample Input and Output
Sample Input #1
1 9
Sample Output #1
2
Sample Input #2
40 49
Sample Output #2
10
Sample Input #3
1 1000
Sample Output #3
488
Sample Input #4
1 1000000000000000000
Sample Output #4
981985601490518016
Notes/Hints
Partial Points
This problem has two datasets, each with partial points assigned.
- If you solve dataset 1 where $1\ ≦\ A\ ≦\ B\ ≦\ 10,000$, you will be awarded $ 30 $ points.
- If you solve dataset 2 without additional constraints, you will be awarded an additional $ 70 $ points separately from the above dataset.
Sample Explanation 1
The digits 4 and 9 are forbidden.
Sample Explanation 2
All numbers from 40 to 49 are forbidden.
输入格式
见题面 Input 部分
输出格式
见题面 Output 部分