leetcode-problemset/leetcode-cn/originData/maximum-number-of-balls-in-a-box.json

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        "question": {
            "questionId": "1844",
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            "categoryTitle": "Algorithms",
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            "title": "Maximum Number of Balls in a Box",
            "titleSlug": "maximum-number-of-balls-in-a-box",
            "content": "<p>You are working in a ball factory where you have <code>n</code> balls numbered from <code>lowLimit</code> up to <code>highLimit</code> <strong>inclusive</strong> (i.e., <code>n == highLimit - lowLimit + 1</code>), and an infinite number of boxes numbered from <code>1</code> to <code>infinity</code>.</p>\n\n<p>Your job at this factory is to put each ball in the box with a number equal to the sum of digits of the ball&#39;s number. For example, the ball number <code>321</code> will be put in the box number <code>3 + 2 + 1 = 6</code> and the ball number <code>10</code> will be put in the box number <code>1 + 0 = 1</code>.</p>\n\n<p>Given two integers <code>lowLimit</code> and <code>highLimit</code>, return<em> the number of balls in the box with the most balls.</em></p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> lowLimit = 1, highLimit = 10\n<strong>Output:</strong> 2\n<strong>Explanation:</strong>\nBox Number:  1 2 3 4 5 6 7 8 9 10 11 ...\nBall Count:  2 1 1 1 1 1 1 1 1 0  0  ...\nBox 1 has the most number of balls with 2 balls.</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> lowLimit = 5, highLimit = 15\n<strong>Output:</strong> 2\n<strong>Explanation:</strong>\nBox Number:  1 2 3 4 5 6 7 8 9 10 11 ...\nBall Count:  1 1 1 1 2 2 1 1 1 0  0  ...\nBoxes 5 and 6 have the most number of balls with 2 balls in each.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> lowLimit = 19, highLimit = 28\n<strong>Output:</strong> 2\n<strong>Explanation:</strong>\nBox Number:  1 2 3 4 5 6 7 8 9 10 11 12 ...\nBall Count:  0 1 1 1 1 1 1 1 1 2  0  0  ...\nBox 10 has the most number of balls with 2 balls.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= lowLimit &lt;= highLimit &lt;= 10<sup>5</sup></code></li>\n</ul>\n",
            "translatedTitle": "盒子中小球的最大数量",
            "translatedContent": "<p>你在一家生产小球的玩具厂工作，有 <code>n</code> 个小球，编号从 <code>lowLimit</code> 开始，到 <code>highLimit</code> 结束（包括 <code>lowLimit</code> 和 <code>highLimit</code> ，即 <code>n == highLimit - lowLimit + 1</code>）。另有无限数量的盒子，编号从 <code>1</code> 到 <code>infinity</code> 。</p>\n\n<p>你的工作是将每个小球放入盒子中，其中盒子的编号应当等于小球编号上每位数字的和。例如，编号 <code>321</code> 的小球应当放入编号 <code>3 + 2 + 1 = 6</code> 的盒子，而编号 <code>10</code> 的小球应当放入编号 <code>1 + 0 = 1</code> 的盒子。</p>\n\n<p>给你两个整数 <code>lowLimit</code> 和 <code>highLimit</code> ，返回放有最多小球的盒子中的小球数量<em>。</em>如果有多个盒子都满足放有最多小球，只需返回其中任一盒子的小球数量。</p>\n\n<p> </p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<strong>输入：</strong>lowLimit = 1, highLimit = 10\n<strong>输出：</strong>2\n<strong>解释：</strong>\n盒子编号：1 2 3 4 5 6 7 8 9 10 11 ...\n小球数量：2 1 1 1 1 1 1 1 1 0  0  ...\n编号 1 的盒子放有最多小球，小球数量为 2 。</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<strong>输入：</strong>lowLimit = 5, highLimit = 15\n<strong>输出：</strong>2\n<strong>解释：</strong>\n盒子编号：1 2 3 4 5 6 7 8 9 10 11 ...\n小球数量：1 1 1 1 2 2 1 1 1 0  0  ...\n编号 5 和 6 的盒子放有最多小球，每个盒子中的小球数量都是 2 。\n</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<pre>\n<strong>输入：</strong>lowLimit = 19, highLimit = 28\n<strong>输出：</strong>2\n<strong>解释：</strong>\n盒子编号：1 2 3 4 5 6 7 8 9 10 11 12 ...\n小球数量：0 1 1 1 1 1 1 1 1 2  0  0  ...\n编号 10 的盒子放有最多小球，小球数量为 2 。\n</pre>\n\n<p> </p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 <= lowLimit <= highLimit <= 10<sup>5</sup></code></li>\n</ul>\n",
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                "Note that both lowLimit and highLimit are of small constraints so you can iterate on all nubmer between them",
                "You can simulate the boxes by counting for each box the number of balls with digit sum equal to that box number"
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