minimum-number-of-operations-to-make-array-continuous

Minimum Number of Operations to Make Array Continuous

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minOperations

You are given an integer array <code>nums</code>. In one operation, you can replace any element in <code>nums</code> with any integer.

<code>nums</code> is considered continuous if both of the following conditions are fulfilled:

<ul>
	<li>All elements in <code>nums</code> are unique.</li>
	<li>The difference between the maximum element and the minimum element in <code>nums</code> equals <code>nums.length - 1</code>.</li>
</ul>

For example, <code>nums = [4, 2, 5, 3]</code> is continuous, but <code>nums = [1, 2, 3, 5, 6]</code> is not continuous.

Return the minimum number of operations to make <code>nums</code> continuous.

&nbsp;
Example 1:

<pre>
Input: nums = [4,2,5,3]
Output: 0
Explanation:&nbsp;nums is already continuous.
</pre>

Example 2:

<pre>
Input: nums = [1,2,3,5,6]
Output: 1
Explanation:&nbsp;One possible solution is to change the last element to 4.
The resulting array is [1,2,3,5,4], which is continuous.
</pre>

Example 3:

<pre>
Input: nums = [1,10,100,1000]
Output: 3
Explanation:&nbsp;One possible solution is to:
- Change the second element to 2.
- Change the third element to 3.
- Change the fourth element to 4.
The resulting array is [1,2,3,4], which is continuous.
</pre>

&nbsp;
Constraints:

<ul>
	<li><code>1 &lt;= nums.length &lt;= 105</code></li>
	<li><code>1 &lt;= nums[i] &lt;= 109</code></li>
</ul>

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