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#F1205. Alyona and Numbers

    ID: 1211 传统题 2000ms 256MiB 尝试: 0 已通过: 0 难度: 2 上传者: 标签>构造数学数论算法思想基础难度共享题库Codeforces英文题面题目来源题面语言

Alyona and Numbers

题目描述

A. Alyona and Numbers
time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output

After finishing eating her bun, Alyona came up with two integers n and m. She decided to write down two columns of integers− the first column containing integers from 1 to n and the second containing integers from 1 to m. Now the girl wants to count how many pairs of integers she can choose, one from the first column and the other from the second column, such that their sum is divisible by 5.

Formally, Alyona wants to count the number of pairs of integers (x,y) such that 1≤xn, 1≤ym and equals 0.

As usual, Alyona has some troubles and asks you to help.

Input

The only line of the input contains two integers n and m (1≤n,m≤1000000).

Output

Print the only integer− the number of pairs of integers (x,y) such that 1≤xn, 1≤ym and (x+y) is divisible by 5.

Examples
Input
6 12
Output
14
Input
11 14
Output
31
Input
1 5
Output
1
Input
3 8
Output
5
Input
5 7
Output
7
Input
21 21
Output
88
Note

Following pairs are suitable in the first sample case:

  • for x=1 fits y equal to 4 or 9;
  • for x=2 fits y equal to 3 or 8;
  • for x=3 fits y equal to 2, 7 or 12;
  • for x=4 fits y equal to 1, 6 or 11;
  • for x=5 fits y equal to 5 or 10;
  • for x=6 fits y equal to 4 or 9.

Only the pair (1,4) is suitable in the third sample case.


题目来源:fps-www.educg.net-codeforce-1-2833.xml.zip;FPS 共享题包,题包内第 681 题。保留原作者与原赛事署名。