leetcode-problemset/leetcode-cn/originData/non-negative-integers-without-consecutive-ones.json

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            "title": "Non-negative Integers without Consecutive Ones",
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            "content": "<p>Given a positive integer <code>n</code>, return the number of the integers in the range <code>[0, n]</code> whose binary representations <strong>do not</strong> contain consecutive ones.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 5\n<strong>Output:</strong> 5\n<strong>Explanation:</strong>\nHere are the non-negative integers &lt;= 5 with their corresponding binary representations:\n0 : 0\n1 : 1\n2 : 10\n3 : 11\n4 : 100\n5 : 101\nAmong them, only integer 3 disobeys the rule (two consecutive ones) and the other 5 satisfy the rule. \n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 1\n<strong>Output:</strong> 2\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 2\n<strong>Output:</strong> 3\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>9</sup></code></li>\n</ul>\n",
            "translatedTitle": "不含连续1的非负整数",
            "translatedContent": "<p>给定一个正整数 <code>n</code> ，请你统计在&nbsp;<code>[0, n]</code> 范围的非负整数中，有多少个整数的二进制表示中不存在 <strong>连续的 1 </strong>。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1:</strong></p>\n\n<pre>\n<strong>输入:</strong> n = 5\n<strong>输出:</strong> 5\n<strong>解释:</strong> \n下面列出范围在 [0, 5] 的非负整数与其对应的二进制表示：\n0 : 0\n1 : 1\n2 : 10\n3 : 11\n4 : 100\n5 : 101\n其中，只有整数 3 违反规则（有两个连续的 1 ），其他 5 个满足规则。</pre>\n\n<p><strong>示例 2:</strong></p>\n\n<pre>\n<strong>输入:</strong> n = 1\n<strong>输出:</strong> 2\n</pre>\n\n<p><strong>示例 3:</strong></p>\n\n<pre>\n<strong>输入:</strong> n = 2\n<strong>输出:</strong> 3\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;= 10<sup>9</sup></code></li>\n</ul>\n",
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