Approach

Extract all x-coordinates from the points.
Sort the x-coordinates.
Find the maximum difference between consecutive x-coordinates.
Return the maximum gap found.
Code

[{"language":"C++","code":"class Solution {\npublic:\n    int maxWidthOfVerticalArea(vector<vector<int>>& points) {\n        vector<int> xs;\n        for (auto& p : points) xs.push_back(p[0]);\n        sort(xs.begin(), xs.end());\n        int ans = 0;\n        for (int i = 1; i < xs.size(); ++i) {\n            ans = max(ans, xs[i] - xs[i-1]);\n        }\n        return ans;\n    }\n};","lang":"cpp","html":"<pre class=\"shiki shiki-themes github-light github-dark\" style=\"background-color:#fff;--shiki-dark-bg:#24292e;color:#24292e;--shiki-dark:#e1e4e8\" tabindex=\"0\"><code><span class=\"line\"><span style=\"color:#D73A49;--shiki-dark:#F97583\">class</span><span style=\"color:#6F42C1;--shiki-dark:#B392F0\"> Solution</span><span style=\"color:#24292E;--shiki-dark:#E1E4E8\"> {</span></span>\n<span class=\"line\"><span style=\"color:#D73A49;--shiki-dark:#F97583\">public:</span></span>\n<span class=\"line\"><span style=\"color:#D73A49;--shiki-dark:#F97583\">    int</span><span style=\"color:#6F42C1;--shiki-dark:#B392F0\"> maxWidthOfVerticalArea</span><span style=\"color:#24292E;--shiki-dark:#E1E4E8\">(</span><span style=\"color:#6F42C1;--shiki-dark:#B392F0\">vector</span><span style=\"color:#24292E;--shiki-dark:#E1E4E8\">&#x3C;</span><span style=\"color:#6F42C1;--shiki-dark:#B392F0\">vector</span><span style=\"color:#24292E;--shiki-dark:#E1E4E8\">&#x3C;</span><span style=\"color:#D73A49;--shiki-dark:#F97583\">int</span><span style=\"color:#24292E;--shiki-dark:#E1E4E8\">>></span><span style=\"color:#D73A49;--shiki-dark:#F97583\">&#x26;</span><span style=\"color:#E36209;--shiki-dark:#FFAB70\"> points</span><span style=\"color:#24292E;--shiki-dark:#E1E4E8\">) {</span></span>\n<span class=\"line\"><span style=\"color:#24292E;--shiki-dark:#E1E4E8\">        vector</span><span style=\"color:#D73A49;--shiki-dark:#F97583\">&#x3C;int></span><span style=\"color:#24292E;--shiki-dark:#E1E4E8\"> xs;</span></span>\n<span class=\"line\"><span style=\"color:#D73A49;--shiki-dark:#F97583\">        for</span><span style=\"color:#24292E;--shiki-dark:#E1E4E8\"> (</span><span style=\"color:#D73A49;--shiki-dark:#F97583\">auto&#x26;</span><span style=\"color:#24292E;--shiki-dark:#E1E4E8\"> p : points) xs.</span><span style=\"color:#6F42C1;--shiki-dark:#B392F0\">push_back</span><span style=\"color:#24292E;--shiki-dark:#E1E4E8\">(p[</span><span style=\"color:#005CC5;--shiki-dark:#79B8FF\">0</span><span style=\"color:#24292E;--shiki-dark:#E1E4E8\">]);</span></span>\n<span class=\"line\"><span style=\"color:#6F42C1;--shiki-dark:#B392F0\">        sort</span><span style=\"color:#24292E;--shiki-dark:#E1E4E8\">(xs.</span><span style=\"color:#6F42C1;--shiki-dark:#B392F0\">begin</span><span style=\"color:#24292E;--shiki-dark:#E1E4E8\">(), xs.</span><span style=\"color:#6F42C1;--shiki-dark:#B392F0\">end</span><span style=\"color:#24292E;--shiki-dark:#E1E4E8\">());</span></span>\n<span class=\"line\"><span style=\"color:#D73A49;--shiki-dark:#F97583\">        int</span><span style=\"color:#24292E;--shiki-dark:#E1E4E8\"> ans </span><span style=\"color:#D73A49;--shiki-dark:#F97583\">=</span><span style=\"color:#005CC5;--shiki-dark:#79B8FF\"> 0</span><span style=\"color:#24292E;--shiki-dark:#E1E4E8\">;</span></span>\n<span class=\"line\"><span style=\"color:#D73A49;--shiki-dark:
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