TLE '17 Contest 8 P3 - Curious Numbers

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Points: 10 (partial)
Time limit: 2.0s
Memory limit: 256M
Author:

Problem type

Fax McClad is a deep thinker.

Fax McClad, Croneria's most curious bounty hunter, is interested certain numbers.

A number is called a palindrome if it is the same when read left-to-right or right-to-left. For example, 12321 is a palindrome, and 1234 is not. Leading zeroes are not part of a palindrome. For example, 3130 is not a palindrome.

Fax also loves the number K and any multiple of it.

Fax is interested in the palindromes that are divisible by K between M and N, inclusive. He will do this Q times. Can you tell him how many of these numbers there are?

Input Specification

The first line of input will contain Q (1 \le Q \le 10^5) and K (1 \le K \le 10^{10}).

The Q lines of input follow. Each line will contain M and N (1 \le M \le N \le 10^{10}).

For 20\% of the points, N,M,K,Q \le 10^3.

For an additional 30\% of the points, N,M,K \le 10^6, Q \le 10^3.

Output Specification

On separate lines, print the answer to each query.

Sample Input

2 2
10 50
100 300

Sample Output

2
10

Explanation for Sample Output

For the first query, 11, 22, 33, 44 are the only palindromes in between 10 and 50. Only 22 and 44 are divisible by 2.


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