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<h1>1085. Perfect Sequence (25)</h1>
<div id="problemContent">
<p>
Given a sequence of positive integers and another positive integer p. The sequence is said to be a "perfect sequence" if M &lt;= m * p where M and m are the maximum and minimum numbers in the sequence, respectively.
</p>
<p>Now given a sequence and a parameter p, you are supposed to find from the sequence as many numbers as possible to form a perfect subsequence.
</p>
<p><b>
Input Specification:
</b></p>
<p>Each input file contains one test case. For each case, the first line contains two positive integers N and p, where N (&lt;= 10<sup>5</sup>) is the number of integers in the sequence, and p (&lt;= 10<sup>9</sup>) is the parameter. In the second line there are N positive integers, each is no greater than 10<sup>9</sup>.</p>
<p><b>
Output Specification:
</b></p>
<p>For each test case, print in one line the maximum number of integers that can be chosen to form a perfect subsequence.</p>
<b>Sample Input:</b><pre>
10 8
2 3 20 4 5 1 6 7 8 9
</pre>
<b>Sample Output:</b><pre>
8
</pre>
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