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leetcode-problemset/leetcode-cn/originData/minimum-money-required-before-transactions.json
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{
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"question": {
"questionId": "2499",
"questionFrontendId": "2412",
"categoryTitle": "Algorithms",
"boundTopicId": 1827367,
"title": "Minimum Money Required Before Transactions",
"titleSlug": "minimum-money-required-before-transactions",
"content": "<p>You are given a <strong>0-indexed</strong> 2D integer array <code><font face=\"monospace\">transactions</font></code>, where <code>transactions[i] = [cost<sub>i</sub>, cashback<sub>i</sub>]</code>.</p>\n\n<p>The array describes transactions, where each transaction must be completed exactly once in <strong>some order</strong>. At any given moment, you have a certain amount of <code>money</code>. In order to complete transaction <code>i</code>, <code>money &gt;= cost<sub>i</sub></code> must hold true. After performing a transaction, <code>money</code> becomes <code>money - cost<sub>i</sub> + cashback<sub>i</sub></code>.</p>\n\n<p>Return<em> the minimum amount of </em><code>money</code><em> required before any transaction so that all of the transactions can be completed <strong>regardless of the order</strong> of the transactions.</em></p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> transactions = [[2,1],[5,0],[4,2]]\n<strong>Output:</strong> 10\n<strong>Explanation:\n</strong>Starting with money = 10, the transactions can be performed in any order.\nIt can be shown that starting with money &lt; 10 will fail to complete all transactions in some order.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> transactions = [[3,0],[0,3]]\n<strong>Output:</strong> 3\n<strong>Explanation:</strong>\n- If transactions are in the order [[3,0],[0,3]], the minimum money required to complete the transactions is 3.\n- If transactions are in the order [[0,3],[3,0]], the minimum money required to complete the transactions is 0.\nThus, starting with money = 3, the transactions can be performed in any order.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= transactions.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>transactions[i].length == 2</code></li>\n\t<li><code>0 &lt;= cost<sub>i</sub>, cashback<sub>i</sub> &lt;= 10<sup>9</sup></code></li>\n</ul>\n",
"translatedTitle": "完成所有交易的初始最少钱数",
"translatedContent": "<p>给你一个下标从 <strong>0</strong>&nbsp;开始的二维整数数组&nbsp;<code><font face=\"monospace\">transactions</font></code>,其中<code>transactions[i] = [cost<sub>i</sub>, cashback<sub>i</sub>]</code>&nbsp;。</p>\n\n<p>数组描述了若干笔交易。其中每笔交易必须以 <strong>某种顺序</strong> 恰好完成一次。在任意一个时刻,你有一定数目的钱&nbsp;<code>money</code>&nbsp;,为了完成交易&nbsp;<code>i</code>&nbsp;<code>money &gt;= cost<sub>i</sub></code>&nbsp;这个条件必须为真。执行交易后,你的钱数&nbsp;<code>money</code> 变成&nbsp;<code>money - cost<sub>i</sub> + cashback<sub>i</sub></code><sub>&nbsp;</sub>。</p>\n\n<p>请你返回 <strong>任意一种</strong> 交易顺序下,你都能完成所有交易的最少钱数<em>&nbsp;</em><code>money</code>&nbsp;是多少。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<pre>\n<b>输入:</b>transactions = [[2,1],[5,0],[4,2]]\n<b>输出:</b>10\n<strong>解释:\n</strong>刚开始 money = 10 ,交易可以以任意顺序进行。\n可以证明如果 money &lt; 10 ,那么某些交易无法进行。\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre>\n<strong>输入:</strong>transactions = [[3,0],[0,3]]\n<b>输出:</b>3\n<strong>解释:</strong>\n- 如果交易执行的顺序是 [[3,0],[0,3]] ,完成所有交易需要的最少钱数是 3 。\n- 如果交易执行的顺序是 [[0,3],[3,0]] ,完成所有交易需要的最少钱数是 0 。\n所以刚开始钱数为 3 ,任意顺序下交易都可以全部完成。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= transactions.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>transactions[i].length == 2</code></li>\n\t<li><code>0 &lt;= cost<sub>i</sub>, cashback<sub>i</sub> &lt;= 10<sup>9</sup></code></li>\n</ul>\n",
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"Split transactions that have cashback greater or equal to cost apart from transactions that have cashback less than cost. You will always <strong>earn</strong> money in the first scenario.",
"For transactions that have cashback greater or equal to cost, sort them by cost in descending order.",
"For transactions that have cashback less than cost, sort them by cashback in ascending order."
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