number-of-arithmetic-triplets

Number of Arithmetic Triplets

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arithmeticTriplets

You are given a 0-indexed, strictly increasing integer array <code>nums</code> and a positive integer <code>diff</code>. A triplet <code>(i, j, k)</code> is an arithmetic triplet if the following conditions are met:

<ul>
	<li><code>i &lt; j &lt; k</code>,</li>
	<li><code>nums[j] - nums[i] == diff</code>, and</li>
	<li><code>nums[k] - nums[j] == diff</code>.</li>
</ul>

Return the number of unique arithmetic triplets.

&nbsp;
Example 1:

<pre>
Input: nums = [0,1,4,6,7,10], diff = 3
Output: 2
Explanation:
(1, 2, 4) is an arithmetic triplet because both 7 - 4 == 3 and 4 - 1 == 3.
(2, 4, 5) is an arithmetic triplet because both 10 - 7 == 3 and 7 - 4 == 3. 
</pre>

Example 2:

<pre>
Input: nums = [4,5,6,7,8,9], diff = 2
Output: 2
Explanation:
(0, 2, 4) is an arithmetic triplet because both 8 - 6 == 2 and 6 - 4 == 2.
(1, 3, 5) is an arithmetic triplet because both 9 - 7 == 2 and 7 - 5 == 2.
</pre>

&nbsp;
Constraints:

<ul>
	<li><code>3 &lt;= nums.length &lt;= 200</code></li>
	<li><code>0 &lt;= nums[i] &lt;= 200</code></li>
	<li><code>1 &lt;= diff &lt;= 50</code></li>
	<li><code>nums</code> is strictly increasing.</li>
</ul>

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