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"categoryTitle": "Algorithms",
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"title": "Powerful Integers",
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"content": "<p>Given three integers <code>x</code>, <code>y</code>, and <code>bound</code>, return <em>a list of all the <strong>powerful integers</strong> that have a value less than or equal to</em> <code>bound</code>.</p>\n\n<p>An integer is <strong>powerful</strong> if it can be represented as <code>x<sup>i</sup> + y<sup>j</sup></code> for some integers <code>i &gt;= 0</code> and <code>j &gt;= 0</code>.</p>\n\n<p>You may return the answer in <strong>any order</strong>. In your answer, each value should occur <strong>at most once</strong>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> x = 2, y = 3, bound = 10\n<strong>Output:</strong> [2,3,4,5,7,9,10]\n<strong>Explanation:</strong>\n2 = 2<sup>0</sup> + 3<sup>0</sup>\n3 = 2<sup>1</sup> + 3<sup>0</sup>\n4 = 2<sup>0</sup> + 3<sup>1</sup>\n5 = 2<sup>1</sup> + 3<sup>1</sup>\n7 = 2<sup>2</sup> + 3<sup>1</sup>\n9 = 2<sup>3</sup> + 3<sup>0</sup>\n10 = 2<sup>0</sup> + 3<sup>2</sup>\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> x = 3, y = 5, bound = 15\n<strong>Output:</strong> [2,4,6,8,10,14]\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= x, y &lt;= 100</code></li>\n\t<li><code>0 &lt;= bound &lt;= 10<sup>6</sup></code></li>\n</ul>\n",
"translatedTitle": "强整数",
"translatedContent": "<p>给定三个整数 <code>x</code>&nbsp;、&nbsp;<code>y</code>&nbsp;和<em>&nbsp;</em><code>bound</code><em>&nbsp;</em>,返回 <em>值小于或等于&nbsp;<code>bound</code>&nbsp;的所有&nbsp;<strong>强整数</strong>&nbsp;组成的列表</em>&nbsp;。</p>\n\n<p>如果某一整数可以表示为&nbsp;<code>x<sup>i</sup>&nbsp;+ y<sup>j</sup></code>&nbsp;,其中整数&nbsp;<code>i &gt;= 0</code> 且&nbsp;<code>j &gt;= 0</code>,那么我们认为该整数是一个&nbsp;<strong>强整数</strong>&nbsp;。</p>\n\n<p>你可以按 <strong>任何顺序</strong> 返回答案。在你的回答中,每个值 <strong>最多</strong> 出现一次。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<pre>\n<strong>输入:</strong>x = 2, y = 3, bound = 10\n<strong>输出:</strong>[2,3,4,5,7,9,10]\n<strong>解释: </strong>\n2 = 2<sup>0</sup> + 3<sup>0</sup>\n3 = 2<sup>1</sup> + 3<sup>0</sup>\n4 = 2<sup>0</sup> + 3<sup>1</sup>\n5 = 2<sup>1</sup> + 3<sup>1</sup>\n7 = 2<sup>2</sup> + 3<sup>1</sup>\n9 = 2<sup>3</sup> + 3<sup>0</sup>\n10 = 2<sup>0</sup> + 3<sup>2</sup></pre>\n\n<p><strong>示例&nbsp;2</strong></p>\n\n<pre>\n<strong>输入:</strong>x = 3, y = 5, bound = 15\n<strong>输出:</strong>[2,4,6,8,10,14]\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= x, y &lt;= 100</code></li>\n\t<li><code>0 &lt;= bound &lt;= 10<sup>6</sup></code></li>\n</ul>\n",
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