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

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"title": "Maximum Number of Balls in a Box",
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"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",
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"hints": [
"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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