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"question": {
"questionId": "1335",
"questionFrontendId": "2226",
"categoryTitle": "Algorithms",
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"title": "Maximum Candies Allocated to K Children",
"titleSlug": "maximum-candies-allocated-to-k-children",
"content": "<p>You are given a <strong>0-indexed</strong> integer array <code>candies</code>. Each element in the array denotes a pile of candies of size <code>candies[i]</code>. You can divide each pile into any number of <strong>sub piles</strong>, but you <strong>cannot</strong> merge two piles together.</p>\n\n<p>You are also given an integer <code>k</code>. You should allocate piles of candies to <code>k</code> children such that each child gets the <strong>same</strong> number of candies. Each child can take <strong>at most one</strong> pile of candies and some piles of candies may go unused.</p>\n\n<p>Return <em>the <strong>maximum number of candies</strong> each child can get.</em></p>\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> candies = [5,8,6], k = 3\n<strong>Output:</strong> 5\n<strong>Explanation:</strong> We can divide candies[1] into 2 piles of size 5 and 3, and candies[2] into 2 piles of size 5 and 1. We now have five piles of candies of sizes 5, 5, 3, 5, and 1. We can allocate the 3 piles of size 5 to 3 children. It can be proven that each child cannot receive more than 5 candies.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> candies = [2,5], k = 11\n<strong>Output:</strong> 0\n<strong>Explanation:</strong> There are 11 children but only 7 candies in total, so it is impossible to ensure each child receives at least one candy. Thus, each child gets no candy and the answer is 0.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= candies.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= candies[i] &lt;= 10<sup>7</sup></code></li>\n\t<li><code>1 &lt;= k &lt;= 10<sup>12</sup></code></li>\n</ul>\n",
"translatedTitle": "每个小孩最多能分到多少糖果",
"translatedContent": "<p>给你一个 <strong>下标从 0 开始</strong> 的整数数组 <code>candies</code> 。数组中的每个元素表示大小为 <code>candies[i]</code> 的一堆糖果。你可以将每堆糖果分成任意数量的 <strong>子堆</strong> ,但 <strong>无法</strong> 再将两堆合并到一起。</p>\n\n<p>另给你一个整数 <code>k</code> 。你需要将这些糖果分配给 <code>k</code> 个小孩,使每个小孩分到 <strong>相同</strong> 数量的糖果。每个小孩可以拿走 <strong>至多一堆</strong> 糖果,有些糖果可能会不被分配。</p>\n\n<p>返回每个小孩可以拿走的 <strong>最大糖果数目</strong><em> </em>。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<pre>\n<strong>输入:</strong>candies = [5,8,6], k = 3\n<strong>输出:</strong>5\n<strong>解释:</strong>可以将 candies[1] 分成大小分别为 5 和 3 的两堆,然后把 candies[2] 分成大小分别为 5 和 1 的两堆。现在就有五堆大小分别为 5、5、3、5 和 1 的糖果。可以把 3 堆大小为 5 的糖果分给 3 个小孩。可以证明无法让每个小孩得到超过 5 颗糖果。\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre>\n<strong>输入:</strong>candies = [2,5], k = 11\n<strong>输出:</strong>0\n<strong>解释:</strong>总共有 11 个小孩,但只有 7 颗糖果,但如果要分配糖果的话,必须保证每个小孩至少能得到 1 颗糖果。因此,最后每个小孩都没有得到糖果,答案是 0 。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= candies.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= candies[i] &lt;= 10<sup>7</sup></code></li>\n\t<li><code>1 &lt;= k &lt;= 10<sup>12</sup></code></li>\n</ul>\n",
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"For a fixed number of candies c, how can you check if each child can get c candies?",
"Use binary search to find the maximum c as the answer."
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