leetcode-problemset/leetcode-cn/originData/maximum-value-of-k-coins-from-piles.json

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            "questionId": "1393",
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            "categoryTitle": "Algorithms",
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            "title": "Maximum Value of K Coins From Piles",
            "titleSlug": "maximum-value-of-k-coins-from-piles",
            "content": "<p>There are <code>n</code> <strong>piles</strong> of coins on a table. Each pile consists of a <strong>positive number</strong> of coins of assorted denominations.</p>\n\n<p>In one move, you can choose any coin on <strong>top</strong> of any pile, remove it, and add it to your wallet.</p>\n\n<p>Given a list <code>piles</code>, where <code>piles[i]</code> is a list of integers denoting the composition of the <code>i<sup>th</sup></code> pile from <strong>top to bottom</strong>, and a positive integer <code>k</code>, return <em>the <strong>maximum total value</strong> of coins you can have in your wallet if you choose <strong>exactly</strong></em> <code>k</code> <em>coins optimally</em>.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2019/11/09/e1.png\" style=\"width: 600px; height: 243px;\" />\n<pre>\n<strong>Input:</strong> piles = [[1,100,3],[7,8,9]], k = 2\n<strong>Output:</strong> 101\n<strong>Explanation:</strong>\nThe above diagram shows the different ways we can choose k coins.\nThe maximum total we can obtain is 101.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> piles = [[100],[100],[100],[100],[100],[100],[1,1,1,1,1,1,700]], k = 7\n<strong>Output:</strong> 706\n<strong>Explanation:\n</strong>The maximum total can be obtained if we choose all coins from the last pile.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>n == piles.length</code></li>\n\t<li><code>1 &lt;= n &lt;= 1000</code></li>\n\t<li><code>1 &lt;= piles[i][j] &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= k &lt;= sum(piles[i].length) &lt;= 2000</code></li>\n</ul>\n",
            "translatedTitle": "从栈中取出 K 个硬币的最大面值和",
            "translatedContent": "<p>一张桌子上总共有 <code>n</code>&nbsp;个硬币 <b>栈</b>&nbsp;。每个栈有 <strong>正整数</strong>&nbsp;个带面值的硬币。</p>\n\n<p>每一次操作中，你可以从任意一个栈的 <strong>顶部</strong>&nbsp;取出 1 个硬币，从栈中移除它，并放入你的钱包里。</p>\n\n<p>给你一个列表&nbsp;<code>piles</code>&nbsp;，其中&nbsp;<code>piles[i]</code>&nbsp;是一个整数数组，分别表示第 <code>i</code>&nbsp;个栈里 <strong>从顶到底</strong>&nbsp;的硬币面值。同时给你一个正整数&nbsp;<code>k</code>&nbsp;，请你返回在&nbsp;<strong>恰好</strong>&nbsp;进行&nbsp;<code>k</code>&nbsp;次操作的前提下，你钱包里硬币面值之和&nbsp;<strong>最大为多少</strong>&nbsp;。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2019/11/09/e1.png\" style=\"width: 600px; height: 243px;\" /></p>\n\n<pre>\n<b>输入：</b>piles = [[1,100,3],[7,8,9]], k = 2\n<b>输出：</b>101\n<strong>解释：</strong>\n上图展示了几种选择 k 个硬币的不同方法。\n我们可以得到的最大面值为 101 。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<b>输入：</b>piles = [[100],[100],[100],[100],[100],[100],[1,1,1,1,1,1,700]], k = 7\n<b>输出：</b>706\n<strong>解释：\n</strong>如果我们所有硬币都从最后一个栈中取，可以得到最大面值和。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>n == piles.length</code></li>\n\t<li><code>1 &lt;= n &lt;= 1000</code></li>\n\t<li><code>1 &lt;= piles[i][j] &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= k &lt;= sum(piles[i].length) &lt;= 2000</code></li>\n</ul>\n",
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                "For each pile i, what will be the total value of coins we can collect if we choose the first j coins?",
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