title: Example in TopCoder violates constraints
body: <p>I am trying to understand the question <a href="https://community.topcoder.com/stat?c=problem_statement&amp;pm=14186" rel="nofollow noreferrer">DivFreed2</a> on TopCoder:</p>
  
  <p>It specifically specifies that arrays</p>
  
  <ul>
  <li>The length of the array is n.</li>
  <li>Each element is an integer between 1 and k, inclusive.</li>
  <li><strong>Whenever A and B are two consecutive elements of the array (in this order), we have (A &lt;= B) or (A mod B != 0).</strong></li>
  </ul>
  
  <p>My problem is the third constraint with respect to the first example given:</p>
  
  <pre><code>2
  2
  Returns: 3
  The three arrays Hero likes are {1,1}, {1,2}, and {2,2}.
  </code></pre>
  
  <p><strong>Shouldn't the answer be 4 ?  What happened to the array {2,1} ?</strong> There are 3 arrays that can be generated following the mentioned constraints, but thre is also a fourth array that can be generated which is {2,1}. No where in the question is it written that we can only have unique combinations of the numbers. <strong>Why aren't we including {2,1} in the list of arrays that can be valid ?</strong></p>
  
  <p>All the questions specify is the constraint of the arrangement of the numbers.</p>
  
  <p><strong>Am I missing something here ? Does an array of numbers mean the unique combination ?</strong></p>