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2022-05-02 23:44:12 +08:00

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"questionId": "319",
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"categoryTitle": "Algorithms",
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"title": "Bulb Switcher",
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"content": "<p>There are <code>n</code> bulbs that are initially off. You first turn on all the bulbs, then&nbsp;you turn off every second bulb.</p>\n\n<p>On the third round, you toggle every third bulb (turning on if it&#39;s off or turning off if it&#39;s on). For the <code>i<sup>th</sup></code> round, you toggle every <code>i</code> bulb. For the <code>n<sup>th</sup></code> round, you only toggle the last bulb.</p>\n\n<p>Return <em>the number of bulbs that are on after <code>n</code> rounds</em>.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/11/05/bulb.jpg\" style=\"width: 421px; height: 321px;\" />\n<pre>\n<strong>Input:</strong> n = 3\n<strong>Output:</strong> 1\n<strong>Explanation:</strong> At first, the three bulbs are [off, off, off].\nAfter the first round, the three bulbs are [on, on, on].\nAfter the second round, the three bulbs are [on, off, on].\nAfter the third round, the three bulbs are [on, off, off]. \nSo you should return 1 because there is only one bulb is on.</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 0\n<strong>Output:</strong> 0\n</pre>\n\n<p><strong>Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 1\n<strong>Output:</strong> 1\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>0 &lt;= n &lt;= 10<sup>9</sup></code></li>\n</ul>\n",
"translatedTitle": "灯泡开关",
"translatedContent": "<p>初始时有&nbsp;<code>n</code><em> </em>个灯泡处于关闭状态。第一轮,你将会打开所有灯泡。接下来的第二轮,你将会每两个灯泡关闭第二个。</p>\n\n<p>第三轮,你每三个灯泡就切换第三个灯泡的开关(即,打开变关闭,关闭变打开)。第 <code>i</code> 轮,你每 <code>i</code> 个灯泡就切换第 <code>i</code> 个灯泡的开关。直到第 <code>n</code> 轮,你只需要切换最后一个灯泡的开关。</p>\n\n<p>找出并返回 <code>n</code><em>&nbsp;</em>轮后有多少个亮着的灯泡。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/11/05/bulb.jpg\" style=\"width: 421px; height: 321px;\" /></p>\n\n<pre>\n<strong>输入:</strong>n =<strong> </strong>3\n<strong>输出:</strong>1 \n<strong>解释:</strong>\n初始时, 灯泡状态 <strong>[关闭, 关闭, 关闭]</strong>.\n第一轮后, 灯泡状态 <strong>[开启, 开启, 开启]</strong>.\n第二轮后, 灯泡状态 <strong>[开启, 关闭, 开启]</strong>.\n第三轮后, 灯泡状态 <strong>[开启, 关闭, 关闭]</strong>. \n\n你应该返回 1因为只有一个灯泡还亮着。\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre>\n<strong>输入:</strong>n = 0\n<strong>输出:</strong>0\n</pre>\n\n<p><strong>示例 3</strong></p>\n\n<pre>\n<strong>输入:</strong>n = 1\n<strong>输出:</strong>1\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>0 &lt;= n &lt;= 10<sup>9</sup></code></li>\n</ul>\n",
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