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"question": {
"questionId": "2548",
"questionFrontendId": "2453",
"categoryTitle": "Algorithms",
"boundTopicId": 1930647,
"title": "Destroy Sequential Targets",
"titleSlug": "destroy-sequential-targets",
"content": "<p>You are given a <strong>0-indexed</strong> array <code>nums</code> consisting of positive integers, representing targets on a number line. You are also given an integer <code>space</code>.</p>\n\n<p>You have a machine which can destroy targets. <strong>Seeding</strong> the machine with some <code>nums[i]</code> allows it to destroy all targets with values that can be represented as <code>nums[i] + c * space</code>, where <code>c</code> is any non-negative integer. You want to destroy the <strong>maximum</strong> number of targets in <code>nums</code>.</p>\n\n<p>Return<em> the <strong>minimum value</strong> of </em><code>nums[i]</code><em> you can seed the machine with to destroy the maximum number of targets.</em></p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [3,7,8,1,1,5], space = 2\n<strong>Output:</strong> 1\n<strong>Explanation:</strong> If we seed the machine with nums[3], then we destroy all targets equal to 1,3,5,7,9,... \nIn this case, we would destroy 5 total targets (all except for nums[2]). \nIt is impossible to destroy more than 5 targets, so we return nums[3].\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [1,3,5,2,4,6], space = 2\n<strong>Output:</strong> 1\n<strong>Explanation:</strong> Seeding the machine with nums[0], or nums[3] destroys 3 targets. \nIt is not possible to destroy more than 3 targets.\nSince nums[0] is the minimal integer that can destroy 3 targets, we return 1.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [6,2,5], space = 100\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> Whatever initial seed we select, we can only destroy 1 target. The minimal seed is nums[1].\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= nums.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 10<sup>9</sup></code></li>\n\t<li><code>1 &lt;= space &lt;=&nbsp;10<sup>9</sup></code></li>\n</ul>\n",
"translatedTitle": "摧毁一系列目标",
"translatedContent": "<p>给你一个下标从 <strong>0</strong>&nbsp;开始的数组&nbsp;<code>nums</code>&nbsp;,它包含若干正整数,表示数轴上你需要摧毁的目标所在的位置。同时给你一个整数&nbsp;<code>space</code>&nbsp;。</p>\n\n<p>你有一台机器可以摧毁目标。给机器 <strong>输入</strong>&nbsp;<code>nums[i]</code>&nbsp;,这台机器会摧毁所有位置在&nbsp;<code>nums[i] + c * space</code>&nbsp;的目标,其中&nbsp;<code>c</code>&nbsp;是任意非负整数。你想摧毁&nbsp;<code>nums</code>&nbsp;中 <strong>尽可能多</strong>&nbsp;的目标。</p>\n\n<p>请你返回在摧毁数目最多的前提下,<code>nums[i]</code>&nbsp;的 <strong>最小值</strong>&nbsp;。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<pre><b>输入:</b>nums = [3,7,8,1,1,5], space = 2\n<b>输出:</b>1\n<b>解释:</b>如果我们输入 nums[3] ,我们可以摧毁位于 1,3,5,7,9,... 这些位置的目标。\n这种情况下 我们总共可以摧毁 5 个目标(除了 nums[2])。\n没有办法摧毁多于 5 个目标,所以我们返回 nums[3] 。\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre><b>输入:</b>nums = [1,3,5,2,4,6], space = 2\n<b>输出:</b>1\n<b>解释:</b>输入 nums[0] 或者 nums[3] 都会摧毁 3 个目标。\n没有办法摧毁多于 3 个目标。\n由于 nums[0] 是最小的可以摧毁 3 个目标的整数,所以我们返回 1 。\n</pre>\n\n<p><strong>示例 3</strong></p>\n\n<pre><b>输入:</b>nums = [6,2,5], space = 100\n<b>输出:</b>2\n<b>解释:</b>无论我们输入哪个数字,都只能摧毁 1 个目标。输入的最小整数是 nums[1] 。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= nums.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 10<sup>9</sup></code></li>\n\t<li><code>1 &lt;= space &lt;=&nbsp;10<sup>9</sup></code></li>\n</ul>\n",
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