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"categoryTitle": "Algorithms",
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"title": "Distribute Candies Among Children I",
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"content": "<p>You are given two positive integers <code>n</code> and <code>limit</code>.</p>\n\n<p>Return <em>the <strong>total number</strong> of ways to distribute </em><code>n</code> <em>candies among </em><code>3</code><em> children such that no child gets more than </em><code>limit</code><em> candies.</em></p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 5, limit = 2\n<strong>Output:</strong> 3\n<strong>Explanation:</strong> There are 3 ways to distribute 5 candies such that no child gets more than 2 candies: (1, 2, 2), (2, 1, 2) and (2, 2, 1).\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 3, limit = 3\n<strong>Output:</strong> 10\n<strong>Explanation:</strong> There are 10 ways to distribute 3 candies such that no child gets more than 3 candies: (0, 0, 3), (0, 1, 2), (0, 2, 1), (0, 3, 0), (1, 0, 2), (1, 1, 1), (1, 2, 0), (2, 0, 1), (2, 1, 0) and (3, 0, 0).\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n &lt;= 50</code></li>\n\t<li><code>1 &lt;= limit &lt;= 50</code></li>\n</ul>\n",
"translatedTitle": "给小朋友们分糖果 I",
"translatedContent": "<p>给你两个正整数&nbsp;<code>n</code> 和&nbsp;<code>limit</code>&nbsp;。</p>\n\n<p>请你将 <code>n</code>&nbsp;颗糖果分给 <code>3</code>&nbsp;位小朋友,确保没有任何小朋友得到超过 <code>limit</code>&nbsp;颗糖果,请你返回满足此条件下的&nbsp;<strong>总方案数</strong>&nbsp;。</p>\n\n<p>&nbsp;</p>\n\n<p><strong class=\"example\">示例 1</strong></p>\n\n<pre>\n<b>输入:</b>n = 5, limit = 2\n<b>输出:</b>3\n<b>解释:</b>总共有 3 种方法分配 5 颗糖果,且每位小朋友的糖果数不超过 2 (1, 2, 2) (2, 1, 2) 和 (2, 2, 1) 。\n</pre>\n\n<p><strong class=\"example\">示例 2</strong></p>\n\n<pre>\n<b>输入:</b>n = 3, limit = 3\n<b>输出:</b>10\n<b>解释:</b>总共有 10 种方法分配 3 颗糖果,且每位小朋友的糖果数不超过 3 (0, 0, 3) (0, 1, 2) (0, 2, 1) (0, 3, 0) (1, 0, 2) (1, 1, 1) (1, 2, 0) (2, 0, 1) (2, 1, 0) 和 (3, 0, 0) 。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n &lt;= 50</code></li>\n\t<li><code>1 &lt;= limit &lt;= 50</code></li>\n</ul>\n",
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