Beautiful Days at the Movies

Lily likes to play games with integers. She has created a new game where she determines the difference between a number and its reverse. For instance, given the number , its reverse is . Their difference is . The number  reversed is , and their difference is .

She decides to apply her game to decision making. She will look at a numbered range of days and will only go to a movie on a beautiful day.

Given a range of numbered days,  and a number , determine the number of days in the range that are beautiful. Beautiful numbers are defined as numbers where  is evenly divisible by . If a day's value is a beautiful number, it is a beautiful day. Print the number of beautiful days in the range.

Input Format

A single line of three space-separated integers describing the respective values of , , and .

Constraints

Output Format

Print the number of beautiful days in the inclusive range between  and .

Sample Input

20 23 6

Sample Output

2

Explanation

Lily may go to the movies on days , , , and . We perform the following calculations to determine which days are beautiful:

• Day  is beautiful because the following evaluates to a whole number: 
• Day  is not beautiful because the following doesn't evaluate to a whole number: 
• Day  is beautiful because the following evaluates to a whole number: 
• Day  is not beautiful because the following doesn't evaluate to a whole number: 

Only two days,  and , in this interval are beautiful. Thus, we print  as our answer.

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