leetcode-problemset/leetcode-cn/originData/check-if-number-is-a-sum-of-powers-of-three.json

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            "questionId": "1889",
            "questionFrontendId": "1780",
            "categoryTitle": "Algorithms",
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            "title": "Check if Number is a Sum of Powers of Three",
            "titleSlug": "check-if-number-is-a-sum-of-powers-of-three",
            "content": "<p>Given an integer <code>n</code>, return <code>true</code> <em>if it is possible to represent </em><code>n</code><em> as the sum of distinct powers of three.</em> Otherwise, return <code>false</code>.</p>\n\n<p>An integer <code>y</code> is a power of three if there exists an integer <code>x</code> such that <code>y == 3<sup>x</sup></code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 12\n<strong>Output:</strong> true\n<strong>Explanation:</strong> 12 = 3<sup>1</sup> + 3<sup>2</sup>\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 91\n<strong>Output:</strong> true\n<strong>Explanation:</strong> 91 = 3<sup>0</sup> + 3<sup>2</sup> + 3<sup>4</sup>\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 21\n<strong>Output:</strong> false\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n &lt;= 10<sup>7</sup></code></li>\n</ul>\n",
            "translatedTitle": "判断一个数字是否可以表示成三的幂的和",
            "translatedContent": "<p>给你一个整数 <code>n</code> ，如果你可以将 <code>n</code> 表示成若干个不同的三的幂之和，请你返回 <code>true</code> ，否则请返回 <code>false</code> 。</p>\n\n<p>对于一个整数 <code>y</code> ，如果存在整数 <code>x</code> 满足 <code>y == 3<sup>x</sup></code> ，我们称这个整数 <code>y</code> 是三的幂。</p>\n\n<p> </p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre><b>输入：</b>n = 12\n<b>输出：</b>true\n<b>解释：</b>12 = 3<sup>1</sup> + 3<sup>2</sup>\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre><b>输入：</b>n = 91\n<b>输出：</b>true\n<b>解释：</b>91 = 3<sup>0</sup> + 3<sup>2</sup> + 3<sup>4</sup>\n</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<pre><b>输入：</b>n = 21\n<b>输出：</b>false\n</pre>\n\n<p> </p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n &lt;= 10<sup>7</sup></code></li>\n</ul>\n",
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            "hints": [
                "Let's note that the maximum power of 3 you'll use in your soln is 3^16",
                "The number can not be represented as a sum of powers of 3 if it's ternary presentation has a 2 in it"
            ],
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