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"questionId": "1642",
"questionFrontendId": "1518",
"categoryTitle": "Algorithms",
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"title": "Water Bottles",
"titleSlug": "water-bottles",
"content": "<p>There are <code>numBottles</code> water bottles that are initially full of water. You can exchange <code>numExchange</code> empty water bottles from the market with one full water bottle.</p>\n\n<p>The operation of drinking a full water bottle turns it into an empty bottle.</p>\n\n<p>Given the two integers <code>numBottles</code> and <code>numExchange</code>, return <em>the <strong>maximum</strong> number of water bottles you can drink</em>.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/07/01/sample_1_1875.png\" style=\"width: 500px; height: 245px;\" />\n<pre>\n<strong>Input:</strong> numBottles = 9, numExchange = 3\n<strong>Output:</strong> 13\n<strong>Explanation:</strong> You can exchange 3 empty bottles to get 1 full water bottle.\nNumber of water bottles you can drink: 9 + 3 + 1 = 13.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/07/01/sample_2_1875.png\" style=\"width: 500px; height: 183px;\" />\n<pre>\n<strong>Input:</strong> numBottles = 15, numExchange = 4\n<strong>Output:</strong> 19\n<strong>Explanation:</strong> You can exchange 4 empty bottles to get 1 full water bottle. \nNumber of water bottles you can drink: 15 + 3 + 1 = 19.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= numBottles &lt;= 100</code></li>\n\t<li><code>2 &lt;= numExchange &lt;= 100</code></li>\n</ul>\n",
"translatedTitle": "换酒问题",
"translatedContent": "<p>小区便利店正在促销,用 <code>numExchange</code> 个空酒瓶可以兑换一瓶新酒。你购入了 <code>numBottles</code> 瓶酒。</p>\n\n<p>如果喝掉了酒瓶中的酒,那么酒瓶就会变成空的。</p>\n\n<p>请你计算 <strong>最多</strong> 能喝到多少瓶酒。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<p><strong><img alt=\"\" src=\"https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2020/07/19/sample_1_1875.png\" style=\"height: 240px; width: 480px;\"></strong></p>\n\n<pre><strong>输入:</strong>numBottles = 9, numExchange = 3\n<strong>输出:</strong>13\n<strong>解释:</strong>你可以用 <code>3</code> 个空酒瓶兑换 1 瓶酒。\n所以最多能喝到 9 + 3 + 1 = 13 瓶酒。\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2020/07/19/sample_2_1875.png\" style=\"height: 240px; width: 790px;\"></p>\n\n<pre><strong>输入:</strong>numBottles = 15, numExchange = 4\n<strong>输出:</strong>19\n<strong>解释:</strong>你可以用 <code>4</code> 个空酒瓶兑换 1 瓶酒。\n所以最多能喝到 15 + 3 + 1 = 19 瓶酒。\n</pre>\n\n<p><strong>示例 3</strong></p>\n\n<pre><strong>输入:</strong>numBottles = 5, numExchange = 5\n<strong>输出:</strong>6\n</pre>\n\n<p><strong>示例 4</strong></p>\n\n<pre><strong>输入:</strong>numBottles = 2, numExchange = 3\n<strong>输出:</strong>2\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;=&nbsp;numBottles &lt;= 100</code></li>\n\t<li><code>2 &lt;=&nbsp;numExchange &lt;= 100</code></li>\n</ul>\n",
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