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<h3> All submissions for this problem are available. </h3><p>Given <b>n</b> and <b>k</b>, find the number of pairs of integers (<b>a</b>, <b>b</b>) such that <b>n</b> &lt; <b>a</b> &lt; <b>k</b>, <b>n</b> &lt; <b>b</b> &lt; <b>k</b> and <b>ab-n</b> is divisible by <b>(a-n)(b-n)</b>.</p>
<h3>Input</h3>
<p>The first line contains the number of test cases <b>t</b> (1  <b>t</b>  5). Then <b>t</b> test cases follow, each test case consists of a line containing two integers <b>n</b> and <b>k</b> (0  <b>n</b>  100000, <b>n</b> &lt; <b>k</b>  10<sup>18</sup>).</p>
<h3>Output</h3>
<p>For each test case output one line containing the required number.</p>
<h3>Example</h3>
<pre><b>Input:</b>
2
1 5
2 5

<b>Output:</b>
2
3

<b>Explanation:</b>
</pre>
<p>In the first test case, the only sought pairs are (2,2) and (3,3). In the second one, they are (3,3), (3,4) and (4,3).</p>