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"categoryTitle": "Algorithms",
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"title": "Most Beautiful Item for Each Query",
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"content": "<p>You are given a 2D integer array <code>items</code> where <code>items[i] = [price<sub>i</sub>, beauty<sub>i</sub>]</code> denotes the <strong>price</strong> and <strong>beauty</strong> of an item respectively.</p>\n\n<p>You are also given a <strong>0-indexed</strong> integer array <code>queries</code>. For each <code>queries[j]</code>, you want to determine the <strong>maximum beauty</strong> of an item whose <strong>price</strong> is <strong>less than or equal</strong> to <code>queries[j]</code>. If no such item exists, then the answer to this query is <code>0</code>.</p>\n\n<p>Return <em>an array </em><code>answer</code><em> of the same length as </em><code>queries</code><em> where </em><code>answer[j]</code><em> is the answer to the </em><code>j<sup>th</sup></code><em> query</em>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> items = [[1,2],[3,2],[2,4],[5,6],[3,5]], queries = [1,2,3,4,5,6]\n<strong>Output:</strong> [2,4,5,5,6,6]\n<strong>Explanation:</strong>\n- For queries[0]=1, [1,2] is the only item which has price &lt;= 1. Hence, the answer for this query is 2.\n- For queries[1]=2, the items which can be considered are [1,2] and [2,4]. \n The maximum beauty among them is 4.\n- For queries[2]=3 and queries[3]=4, the items which can be considered are [1,2], [3,2], [2,4], and [3,5].\n The maximum beauty among them is 5.\n- For queries[4]=5 and queries[5]=6, all items can be considered.\n Hence, the answer for them is the maximum beauty of all items, i.e., 6.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> items = [[1,2],[1,2],[1,3],[1,4]], queries = [1]\n<strong>Output:</strong> [4]\n<strong>Explanation:</strong> \nThe price of every item is equal to 1, so we choose the item with the maximum beauty 4. \nNote that multiple items can have the same price and/or beauty. \n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> items = [[10,1000]], queries = [5]\n<strong>Output:</strong> [0]\n<strong>Explanation:</strong>\nNo item has a price less than or equal to 5, so no item can be chosen.\nHence, the answer to the query is 0.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= items.length, queries.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>items[i].length == 2</code></li>\n\t<li><code>1 &lt;= price<sub>i</sub>, beauty<sub>i</sub>, queries[j] &lt;= 10<sup>9</sup></code></li>\n</ul>\n",
"translatedTitle": "每一个查询的最大美丽值",
"translatedContent": "<p>给你一个二维整数数组&nbsp;<code>items</code>&nbsp;,其中&nbsp;<code>items[i] = [price<sub>i</sub>, beauty<sub>i</sub>]</code>&nbsp;分别表示每一个物品的 <strong>价格</strong>&nbsp;和 <strong>美丽值</strong>&nbsp;。</p>\n\n<p>同时给你一个下标从 <strong>0</strong>&nbsp;开始的整数数组&nbsp;<code>queries</code>&nbsp;。对于每个查询&nbsp;<code>queries[j]</code>&nbsp;,你想求出价格小于等于&nbsp;<code>queries[j]</code>&nbsp;的物品中,<strong>最大的美丽值</strong>&nbsp;是多少。如果不存在符合条件的物品,那么查询的结果为&nbsp;<code>0</code>&nbsp;。</p>\n\n<p>请你返回一个长度与 <code>queries</code>&nbsp;相同的数组<em>&nbsp;</em><code>answer</code>,其中<em>&nbsp;</em><code>answer[j]</code>是第&nbsp;<code>j</code>&nbsp;个查询的答案。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<pre><b>输入:</b>items = [[1,2],[3,2],[2,4],[5,6],[3,5]], queries = [1,2,3,4,5,6]\n<b>输出:</b>[2,4,5,5,6,6]\n<strong>解释:</strong>\n- queries[0]=1 [1,2] 是唯一价格 &lt;= 1 的物品。所以这个查询的答案为 2 。\n- queries[1]=2 ,符合条件的物品有 [1,2] 和 [2,4] 。\n 它们中的最大美丽值为 4 。\n- queries[2]=3 和 queries[3]=4 ,符合条件的物品都为 [1,2] [3,2] [2,4] 和 [3,5] 。\n 它们中的最大美丽值为 5 。\n- queries[4]=5 和 queries[5]=6 ,所有物品都符合条件。\n 所以,答案为所有物品中的最大美丽值,为 6 。\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre><b>输入:</b>items = [[1,2],[1,2],[1,3],[1,4]], queries = [1]\n<b>输出:</b>[4]\n<b>解释:</b>\n每个物品的价格均为 1 ,所以我们选择最大美丽值 4 。\n注意多个物品可能有相同的价格和美丽值。\n</pre>\n\n<p><strong>示例 3</strong></p>\n\n<pre><b>输入:</b>items = [[10,1000]], queries = [5]\n<b>输出:</b>[0]\n<strong>解释:</strong>\n没有物品的价格小于等于 5 ,所以没有物品可以选择。\n因此查询的结果为 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;= items.length, queries.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>items[i].length == 2</code></li>\n\t<li><code>1 &lt;= price<sub>i</sub>, beauty<sub>i</sub>, queries[j] &lt;= 10<sup>9</sup></code></li>\n</ul>\n",
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