The Eternal Immortality

Even if the world is full of counterfeits, I still regard it as wonderful.

Pile up herbs and incense, and arise again from the flames and ashes of its predecessor — as is known to many, the phoenix does it like this.

The phoenix has a rather long lifespan, and reincarnates itself once every a! years. Here a! denotes the factorial of integer a, that is, a! = 1 × 2 × ... × a. Specifically, 0! = 1.

Koyomi doesn't care much about this, but before he gets into another mess with oddities, he is interested in the number of times the phoenix will reincarnate in a timespan of b! years, that is, . Note that when b ≥ a this value is always integer.

As the answer can be quite large, it would be enough for Koyomi just to know the last digit of the answer in decimal representation. And you're here to provide Koyomi with this knowledge.

Input

The first and only line of input contains two space-separated integers a and b (0 ≤ a ≤ b ≤ 1018).

Output

Output one line containing a single decimal digit — the last digit of the value that interests Koyomi.

Example

Input

2 4

Output

2

Input

0 10

Output

0

Input

107 109

Output

2

Note

In the first example, the last digit of  is 2;

In the second example, the last digit of  is 0;

In the third example, the last digit of  is 2.

题意是：求一个数的阶乘除以另一个数的阶乘的最后一位。

思路是如果两个数的差大于九（或者五），最后一位肯定是0.如果不是的话就从a遍历到b求出最后一位。

#include
     

#include
     

#include
     
      using namespace std;int main(){    long long m,n;    while(~scanf("%lld%lld",&n,&m))    {        long long ans=1;        if((m-n)>9)        {            printf("0\n");            continue;        }        for(long long i=n+1;i<=m;i++)        {            ans*=i;            ans%=10;        }        printf("%lld\n",ans);    }}