count-hills-and-valleys-in-an-array

Count Hills and Valleys in an Array

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countHillValley

You are given a 0-indexed integer array <code>nums</code>. An index <code>i</code> is part of a hill in <code>nums</code> if the closest non-equal neighbors of <code>i</code> are smaller than <code>nums[i]</code>. Similarly, an index <code>i</code> is part of a valley in <code>nums</code> if the closest non-equal neighbors of <code>i</code> are larger than <code>nums[i]</code>. Adjacent indices <code>i</code> and <code>j</code> are part of the same hill or valley if <code>nums[i] == nums[j]</code>.

Note that for an index to be part of a hill or valley, it must have a non-equal neighbor on both the left and right of the index.

Return the number of hills and valleys in <code>nums</code>.

&nbsp;
Example 1:

<pre>
Input: nums = [2,4,1,1,6,5]
Output: 3
Explanation:
At index 0: There is no non-equal neighbor of 2 on the left, so index 0 is neither a hill nor a valley.
At index 1: The closest non-equal neighbors of 4 are 2 and 1. Since 4 &gt; 2 and 4 &gt; 1, index 1 is a hill. 
At index 2: The closest non-equal neighbors of 1 are 4 and 6. Since 1 &lt; 4 and 1 &lt; 6, index 2 is a valley.
At index 3: The closest non-equal neighbors of 1 are 4 and 6. Since 1 &lt; 4 and 1 &lt; 6, index 3 is a valley, but note that it is part of the same valley as index 2.
At index 4: The closest non-equal neighbors of 6 are 1 and 5. Since 6 &gt; 1 and 6 &gt; 5, index 4 is a hill.
At index 5: There is no non-equal neighbor of 5 on the right, so index 5 is neither a hill nor a valley. 
There are 3 hills and valleys so we return 3.
</pre>

Example 2:

<pre>
Input: nums = [6,6,5,5,4,1]
Output: 0
Explanation:
At index 0: There is no non-equal neighbor of 6 on the left, so index 0 is neither a hill nor a valley.
At index 1: There is no non-equal neighbor of 6 on the left, so index 1 is neither a hill nor a valley.
At index 2: The closest non-equal neighbors of 5 are 6 and 4. Since 5 &lt; 6 and 5 &gt; 4, index 2 is neither a hill nor a valley.
At index 3: The closest non-equal neighbors of 5 are 6 and 4. Since 5 &lt; 6 and 5 &gt; 4, index 3 is neither a hill nor a valley.
At index 4: The closest non-equal neighbors of 4 are 5 and 1. Since 4 &lt; 5 and 4 &gt; 1, index 4 is neither a hill nor a valley.
At index 5: There is no non-equal neighbor of 1 on the right, so index 5 is neither a hill nor a valley.
There are 0 hills and valleys so we return 0.
</pre>

&nbsp;
Constraints:

<ul>
	<li><code>3 &lt;= nums.length &lt;= 100</code></li>
	<li><code>1 &lt;= nums[i] &lt;= 100</code></li>
</ul>

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