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  1. Practice
  2. Algorithms
  3. Implementation
  4. Beautiful Days at the Movies

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. Return the number of beautiful days in the range.

Function Description

Complete the beautifulDays function in the editor below.

beautifulDays has the following parameter(s):

  • int i: the starting day number
  • int j: the ending day number
  • int k: the divisor

Returns

  • int: 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

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.