leetcode-problemset/leetcode-cn/originData/maximum-tastiness-of-candy-basket.json

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            "categoryTitle": "Algorithms",
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            "title": "Maximum Tastiness of Candy Basket",
            "titleSlug": "maximum-tastiness-of-candy-basket",
            "content": "<p>You are given an array of positive integers <code>price</code> where <code>price[i]</code> denotes the price of the <code>i<sup>th</sup></code> candy and a positive integer <code>k</code>.</p>\n\n<p>The store sells baskets of <code>k</code> <strong>distinct</strong> candies. The <strong>tastiness</strong> of a candy basket is the smallest absolute difference of the <strong>prices</strong> of any two candies in the basket.</p>\n\n<p>Return <em>the <strong>maximum</strong> tastiness of a candy basket.</em></p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> price = [13,5,1,8,21,2], k = 3\n<strong>Output:</strong> 8\n<strong>Explanation:</strong> Choose the candies with the prices [13,5,21].\nThe tastiness of the candy basket is: min(|13 - 5|, |13 - 21|, |5 - 21|) = min(8, 8, 16) = 8.\nIt can be proven that 8 is the maximum tastiness that can be achieved.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> price = [1,3,1], k = 2\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> Choose the candies with the prices [1,3].\nThe tastiness of the candy basket is: min(|1 - 3|) = min(2) = 2.\nIt can be proven that 2 is the maximum tastiness that can be achieved.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> price = [7,7,7,7], k = 2\n<strong>Output:</strong> 0\n<strong>Explanation:</strong> Choosing any two distinct candies from the candies we have will result in a tastiness of 0.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= k &lt;= price.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= price[i] &lt;= 10<sup>9</sup></code></li>\n</ul>\n",
            "translatedTitle": "礼盒的最大甜蜜度",
            "translatedContent": "<p>给你一个正整数数组 <code>price</code> ，其中 <code>price[i]</code> 表示第 <code>i</code> 类糖果的价格，另给你一个正整数 <code>k</code> 。</p>\n\n<p>商店组合 <code>k</code> 类 <strong>不同</strong> 糖果打包成礼盒出售。礼盒的 <strong>甜蜜度</strong> 是礼盒中任意两种糖果 <strong>价格</strong> 绝对差的最小值。</p>\n\n<p>返回礼盒的 <strong>最大 </strong>甜蜜度<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>price = [13,5,1,8,21,2], k = 3\n<strong>输出：</strong>8\n<strong>解释：</strong>选出价格分别为 [13,5,21] 的三类糖果。\n礼盒的甜蜜度为 min(|13 - 5|, |13 - 21|, |5 - 21|) = min(8, 8, 16) = 8 。\n可以证明能够取得的最大甜蜜度就是 8 。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<strong>输入：</strong>price = [1,3,1], k = 2\n<strong>输出：</strong>2\n<strong>解释：</strong>选出价格分别为 [1,3] 的两类糖果。 \n礼盒的甜蜜度为 min(|1 - 3|) = min(2) = 2 。\n可以证明能够取得的最大甜蜜度就是 2 。\n</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<pre>\n<strong>输入：</strong>price = [7,7,7,7], k = 2\n<strong>输出：</strong>0\n<strong>解释：</strong>从现有的糖果中任选两类糖果，甜蜜度都会是 0 。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= k &lt;= price.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= price[i] &lt;= 10<sup>9</sup></code></li>\n</ul>\n",
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            "hints": [
                "The answer is binary searchable.",
                "For some x, we can use a greedy strategy to check if it is possible to pick k distinct candies with tastiness being at least x.",
                "Sort prices and iterate from left to right. For some price[i] check if the price difference between the last taken candy and price[i] is at least x. If so, add the candy i to the basket.",
                "So, a candy basket with tastiness x can be achieved if the basket size is bigger than or equal to k."
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