minimum-absolute-distance-between-mirror-pairs

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Algorithms

You are given an integer array <code>nums</code>.

A mirror pair is a pair of indices <code>(i, j)</code> such that:

<ul>
	<li><code>0 &lt;= i &lt; j &lt; nums.length</code>, and</li>
	<li><code>reverse(nums[i]) == nums[j]</code>, where <code>reverse(x)</code> denotes the integer formed by reversing the digits of <code>x</code>. Leading zeros are omitted after reversing, for example <code>reverse(120) = 21</code>.</li>
</ul>

Return the minimum absolute distance between the indices of any mirror pair. The absolute distance between indices <code>i</code> and <code>j</code> is <code>abs(i - j)</code>.

If no mirror pair exists, return <code>-1</code>.

&nbsp;
Example 1:

<div class="example-block">
Input: nums = [12,21,45,33,54]

Output: 1

Explanation:

The mirror pairs are:

<ul>
	<li>(0, 1) since <code>reverse(nums[0]) = reverse(12) = 21 = nums[1]</code>, giving an absolute distance <code>abs(0 - 1) = 1</code>.</li>
	<li>(2, 4) since <code>reverse(nums[2]) = reverse(45) = 54 = nums[4]</code>, giving an absolute distance <code>abs(2 - 4) = 2</code>.</li>
</ul>

The minimum absolute distance among all pairs is 1.
</div>

Example 2:

<div class="example-block">
Input: nums = [120,21]

Output: 1

Explanation:

There is only one mirror pair (0, 1) since <code>reverse(nums[0]) = reverse(120) = 21 = nums[1]</code>.

The minimum absolute distance is 1.
</div>

Example 3:

<div class="example-block">
Input: nums = [21,120]

Output: -1

Explanation:

There are no mirror pairs in the array.
</div>

&nbsp;
Constraints:

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